The final velocity of the goalie is -0.613 m/s (indicating that he moves backwards), and the final velocity of the puck is 30.2 m/s (indicating that it moves forwards).
What does mechanics' collision mean?When particles, collections of particles, or solid bodies move in the same direction and get close enough to each other, they collide and generate mutual force.
This issue can be resolved by applying the laws of motion and kinetic energy conservation.
momentum conservation
Before the collision:
Total momentum = 0 (since the goalie is at rest)
After the collision:
Total momentum = m_goalie * v_goalie + m_puck * v_puck
Conservation of kinetic energy:
Before the collision:
Total kinetic energy = 0
After the collision:
Total kinetic energy = (1/2) * m_goalie * v_goalie² + (1/2) * m_puck * v_puck^2
We can use these two equations to solve for the final velocities of the goalie and the puck.
First, let's use the conservation of momentum equation to solve for v_goalie:
0 = m_goalie * v_goalie + m_puck * v_puck
v_goalie = - m_puck * v_puck / m_goalie
Now, we can substitute this expression for v_goalie into the conservation of kinetic energy equation:
(1/2) * m_puck * v_puck² = (1/2) * m_goalie * (- m_puck * v_puck / m_goalie)² + (1/2) * m_puck * 43.5²
Simplifying this equation and solving for v_puck, we get:
v_puck = 2 * (m_oalie / (m_goalie + m_puck)) * 43.5
v_puck = 30.2 m/s
Finally, we can substitute this value for v_puck back into the equation for v_goalie
v_goalie = - m_puck * v_puck / m_goalie
v_goalie = -0.613 m/s
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An ideal gas undergoes an isothermal (constant-temperature) compression at temperature T, with its volume changing from V1 to V2. (i) Prove that the work done during this process is given by an expression =12. (5) (ii) Is the work done positive or negative? Give reasons.
The effort required to compress an ideal gas is therefore given by W = -1/2 nRT ln(V2/V1) during an isothermal process.
What labour is involved in an ideal gas's isothermal expansion and compression?When an ideal gas is subjected to isothermal expansion (T = 0) in a vacuum, the work done is equal to zero as pex=zero. Joule established q = 0 empirically; hence, U = 0. Equation 1 can be written as: for both reversible and irreversible isothermal changes. Reversible isothermal change q = -w = pex (Vf-Vi)
nRT = ln(V2/V1) - W
If we solve for W, we obtain:
W = ln(V1/V2)nRT (v) If we condense this phrase, we get:
W=-nRT ln(V2/V1).
W=-RT ln(V2/V1).
W=-1/2nRT ln(V2/V1)
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A 1450 car having a speed of 25.2 collides with a 7.5 truck moving in the same direction at 20.0 . Velocity of the car after the collision changed to 15.0 in the initial direction. What is the velocity of the truck after the collision?
The velocity of the truck after the collision, given that a 1450 kg car having a speed of 25.2 m/s collides with the 7.5 kg truck is 1992 m/s
How do I determine the velocity of the truck after collision?The following data were obtained from the question given above:
Mass of car (m₁) = 1450 KgInitial velocity of car (u₁) = 25.2 m/sMass of truck (m₂) = 7.5 KgInitial velocity of truck (u₂) = 20.0 m/sFinal velocity of car (v₁) = 15.0 m/sFinal velocity of truck (v₂) = ?The velocity of the truck after the collision can be obtained by using the law of conservation of linear momentum as follow:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(1450 × 25.2) + (7.5 × 20) = (1450 × 15) + (7.5 × v₂)
36540 + 150 = 21750 + (7.5 × v₂)
36690 = 21750 + 7.5v₂
Collect like terms
7.5v₂ = 36690 - 21750
7.5v₂ = 14940
Divide both sides by 7.5
v₂ = 14940 / 7.5
v₂ = 1992 m/s
Thus, the velocity of the truck after collision is 1992 m/s
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A basketball has a mass of approximately 624 grams [g] and a volume of 0.25 cubic feet [ft3]. Determine the density of the basketball in units of slug per gallon [slug/gal].
The basketball has a slugs density of 0.0228 per gallon (m/V = 0.0427 slugs/1.8697 gallons) (approximately).
What in density is a slug?Based on normal gravity, the international foot, and the avoirdupois pound, one slug weighs 32.1740 lb (14.59390 kg). An item with a mass of 1 slug would weigh around 32.2 lbf, or 143 N, at the Earth's surface.
We need to apply the following conversion factor to convert grammes to slugs:
1 slug = 14.5939 kg
1 kg = 1000 g
Therefore:
1 slug = 14.5939 kg = 14.5939 x 1000 g = 14593.9 g
So, the mass of the basketball in slugs is:
m = 624 g / 14593.9 g/slug = 0.0427 slugs
To convert from cubic feet to gallons, we need to use the following conversion factor:
1 gallon = 0.133681 ft^3
Therefore:
0.25 ft⁻³ = 0.25 / 0.133681 = 1.8697 gallons
So, the volume of the basketball in gallons is:
V = 1.8697 gallons
The density of the basketball in slug/gal is:
ρ = m / V = 0.0427 slugs / 1.8697 gallons = 0.0228 slug/gal (approximately)
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A satellite orbiting the earth has a mass of 8695 Kilograms, however because of how far it is from the earth's surface earth's gravity is only 0.35 m/s?. What is the weight of the satellite orbiting the earth?
The weight of the satellite orbiting the earth is 3068.25 Newtons.
Calculation of weight satelliteThis is calculated using the equation
Weight = Mass x Acceleration or
W = m x g.
Where, m = 8695 kg and
g = 0.35 m/s2.
Therefore, W = 8695 kg x 0.35 m/s2 = 3068.25 N.
A satellite is an artificial object that orbits a planet or other astronomical body. It is used for communication, navigation, weather forecasting, and other purposes.
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Earth Science
PLEASE HELP
Tide are waves on oceans. The 5th day tide are know as extreme and called the king or spring tide, while the 13th day tide are called the neap tide.
What are tides as described in the picture?Tides are long waves that move across the oceans as a result of the moon's effect on the gravitational forces of the earth and, to a lesser extent, the sun.
The tides on day 5 are extreme because both the moon and the sun contribute equally to tide formation; these are known as spring or king tides. The diagram will be drawn so that the sun, moon, and earth are all in the same straight line.
The tides are not extreme on day 13 because the sun cancels out the moon tides. It is referred to as neap tide, which means "powerless tide." The diagram will depict all three (the sun, moon, and earth) arranged at a right angle.
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a spanner is dropped from a sixth floor window and take 2.2s to hit the ground. A)calculate the height from wich it was drop.b)its impact velocity
a) The spanner was dropped from a height of 24.2 meters. b)The impact velocity of the spanner is 21.6 meters per second.
What exactly are velocity and example?Simply put, velocity is the rate at which something travels in a specific direction.
We can use the equations of motion to solve this problem.
a) To calculate the height from which the spanner was dropped, we can use the equation:
[tex]h = (1/2)gt^2[/tex]
where h is the height, g is the acceleration due to gravity, and t is the time taken to fall.
Substituting the given values, we get:
[tex]h = (1/2) \times 9.81 m/s^2 \times (2.2 s)^2 \\= 24.2 meters[/tex]
Therefore, the spanner was dropped from a height of 24.2 meters.
b) To calculate the impact velocity of the spanner, we can use the equation:
v = gt
where v is the final velocity, g is the acceleration due to gravity, and t is the time taken to fall.
Substituting the given values, we get:
[tex]v = 9.81 m/s^2 \times 2.2 s \\= 21.6 m/s[/tex]
Therefore, the impact velocity of the spanner is 21.6 meters per second.
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a block of wood ispushed against a relaxed spring to compressed it 0.080m the spring constant of spring is 2000 N/m what is true about change in kinetic potential energy of the block spring system
Change in kinetic energy is 6.4 Joules when a block of wood is pushed against a relaxed spring to compressed it 0.080m.
What is spring constant ?The spring constant is the force necessary to stretch or compress a spring divided by the spring's length. It is used to determine the stability or instability of a spring and, by extension, the system for which it is designed. The symbol k stands for the "spring constant," a value that indicates how "stiff" a spring is. If k is large, it signifies that stretching it a specific length requires more force than stretching a less stiff spring the same length.
Use formula
change in kinetic energy = [tex]\frac{1}{2}[/tex] × k × [tex]x^{2}[/tex]
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PLEAS HELP ME WITH THIS WORKSHEET PLEASEEEEE!!!!!
Explosion
1) Two swimmers are floating on a raft that is motionless. One swimmer has a mass of 50 kg and
the other at 80 kg. They both push off the raft at the same time. The 80 kg swimmer moves
away at 3 m/s. What velocity does the 50 kg swimmer move away with?
M1 = 50 kg v1' =____ M2 = 80 kg v2' = 3 m/s
Equation: 0= m1 (v1') + m2 (v2')
Elastic
2) Two hockey players are skating towards each other. A 90 kg player traveling at 6 m/s
rams into a 60 kg player moving at 2 m/s. After the collision, the 90 kg player slows to 4
m/s but is still traveling in the same direction. What is the velocity of the 60 kg player?
Equation: m1 (v1) + m2 (v2) = m1 (v1') + m2 (v2')
v2 = -2 m/s
M1 = 90 kg
v1 = 6 m/s M2 = 60 kg
V1' = 4 m/s
v2' =___
We can use the conservation of momentum to solve both problems:
Conservation of momentum:
0 = m1(v1') + m2(v2')
where m1 = 50 kg, v2' = 3 m/s, and m2 = 80 kg. We can solve for v1' to get:
v1' = -(m2/m1) v2'
v1' = -(80 kg/50 kg) (3 m/s) = -4.8 m/s
Therefore, the 50 kg swimmer moves away from the raft with a velocity of -4.8 m/s.
Conservation of momentum:
m1(v1) + m2(v2) = m1(v1') + m2(v2')
where m1 = 90 kg, v1 = 6 m/s, m2 = 60 kg, and v1' = 4 m/s. We can solve for v2 to get:
v2 = (m1v1 + m2v2 - m1v1') / m2
v2 = (90 kg)(6 m/s) + (60 kg)(2 m/s) - (90 kg)(4 m/s) / 60 kg
v2 = -1 m/s
Therefore, the velocity of the 60 kg player after the collision is -1 m/s, which means they are moving in the opposite direction to the 90 kg player.
A sled with a mass 47.0 kg is pulled along flat, snow-covered ground. The static friction coefficient is 0.30, and the kinetic friction coefficient is 0.10.
(a) What does the sled weigh?
(b) What force will be needed to start the sled moving?
(c) What force is needed to keep the sled moving at a constant velocity?
(d) Once moving, what total force must be applied to the sled to accelerate it at 3.3 m/s2?
(a) The weight of the sled is given by the product of its mass and the acceleration due to gravity:
w = m*g = 47.0 kg * 9.81 m/s^2 = 461.07 N
(b) The force needed to start the sled moving is the maximum force of static friction, which is given by:
f_s = μ_s * w = 0.30 * 461.07 N = 138.32 N
(c) Once the sled is moving at a constant velocity, the force needed to keep it moving is equal to the force of kinetic friction, which is given by:
f_k = μ_k * w = 0.10 * 461.07 N = 46.11 N
(d) The total force needed to accelerate the sled at 3.3 m/s^2 is the sum of the force of kinetic friction and the force required to produce the desired acceleration:
F = f_k + m*a = 46.11 N + 47.0 kg * 3.3 m/s^2 = 200.97 N
PLEASE HELP ME! LIKE ASAP! Imagine a population of bugs that has two traits for body color. Some bugs are bright. Some are dark. A new predator can see the bright bugs more easily than the dark bugs. Describe how natural selection could affect this trait in the bug population over time.
Answer: if the predator sees the light bugs easier than the dark bugs then the bright bug will most likely go extinct
Explanation:
Uses of transistor?
Answer:
Transistors and Their Uses
Transistors are electronic devices that are used to amplify and switch electronic signals. They are widely used in various applications, from small electronic devices to large industrial systems. Here are some common uses of transistors:
1. Amplification: Transistors are commonly used in audio amplifiers, where they amplify weak audio signals to produce a louder sound. They are also used in radio and television receivers to amplify the weak signals received from antennas.
2. Switching: Transistors are used as switches in electronic circuits, where they can be turned on or off to control the flow of current. They are commonly used in digital circuits, where they can be used to turn on or off individual bits of data.
3. Voltage Regulation: Transistors can be used as voltage regulators, where they can be used to regulate the output voltage of a power supply. They are commonly used in electronic devices such as computers and televisions, where a stable voltage supply is required.
4. Oscillation: Transistors can be used in oscillator circuits to produce a steady periodic waveform, such as a sine wave. These circuits are commonly used in electronic devices such as radios and televisions.
5. Logic Gates: Transistors are used in logic gates, which are the building blocks of digital circuits. They can be used to implement Boolean logic functions such as AND, OR, and NOT.
6. Memory: Transistors are used in memory circuits, such as dynamic random-access memory (DRAM), where they are used to store data. DRAM is commonly used in computers as the main memory.
7. Power Control: Transistors can be used in power control circuits, where they can be used to control the amount of power delivered to a load. They are commonly used in electronic devices such as motor controllers and power supplies.
In conclusion, transistors are versatile devices that are used in a wide range of electronic applications. They can be used for amplification, switching, voltage regulation, oscillation, logic gates, memory, and power control. Transistors have revolutionized the field of electronics and have enabled the development of many modern electronic devices.
Answer:
they used to transition of current and flow of them like amplifier
An electric heater rated 2.75 kW is connected to a 240 V power line with a circuit breaker rated 10 A. Deduce whether or not the line will be active. when the heater is switched on.
To determine whether the line will be active when the heater is switched on, we need to calculate the current that will flow through the circuit when the heater is in operation. We can use Ohm's law, which states that current is equal to voltage divided by resistance, or I = V/R.
The resistance of the heater can be calculated using the formula:
R = V^2/P
where V is the voltage and P is the power of the heater.
In this case, the resistance of the heater is:
R = 240^2/2.75 kW = 20.87 Ω
Using Ohm's law, we can now calculate the current that will flow through the circuit when the heater is on:
I = V/R = 240/20.87 = 11.5 A
Since the current required by the heater (11.5 A) is greater than the circuit breaker rating (10 A), the circuit breaker will trip when the heater is switched on, and the line will not be active.
A small glass ball is rubbed with a piece of silk, giving the ball a charge of 1.0 x 10^-8 C. Determine the magnitude of the force due to the Earth's magnetic field if the ball is thrown to the west with a velocity 8.0 m/s . The earth's magnetic field is 5.0 x 10^-5 T
The magnitude of the force due to the electric field on the charged glass ball is 2.4 x [tex]10^{-5}[/tex] N, and the Earth's magnetic field is not relevant in this scenario.
What is Magnetic Field?
A magnetic field is a field created by a magnet, moving electric charge, or changing electric field. A magnetic field can also be created by a loop of electric current. A magnetic field is a vector field, meaning it has both magnitude and direction.
The Earth's magnetic field is not relevant for the interaction between the charged glass ball and the Earth's gravitational field. Instead, we need to calculate the force due to the electric field generated by the charge on the ball.
We can use the formula for the electric force on a charged particle:
F = qE
where F is the force on the charge q, and E is the electric field at the location of the charge.
In this case, the charge on the ball is q = 1.0 x 10^-8 C, and the velocity of the ball is directed to the west, so the direction of the force should be to the north or south.
Assuming the electric field due to the charge on the ball is uniform and perpendicular to the velocity of the ball, we can use the formula for the electric field due to a point charge:
E = k*q / [tex]r^{2}[/tex]
where k is Coulomb's constant (9 x 10^9 N·[tex]m^{2}[/tex]/[tex]C^{2}[/tex]), q is the charge on the ball, and r is the distance from the charge to the point where we want to calculate the electric field.
If we assume that the ball is moving at a constant height above the Earth's surface, then the distance r is constant and we can use the above equation to find the electric field E.
E = k*q / [tex]r^{2}[/tex] = (9 x 10^9 N·[tex]m^{2}[/tex] /[tex]C^{2}[/tex]) * (1.0 x 10^-8 C) /[tex]r^{2}[/tex]
We don't know the distance r, but we do know that the electric force on the ball due to this field must be equal to the force required to cause the ball to move in a circular path, as it is in this case. The force required to maintain a circular motion of radius r with speed v is
where m is the mass of the ball. This force must be equal to the electric force on the ball:
F = qE
We can equate these two expressions to solve for the distance r
Plugging in the given values, we get:
r = 1.78 x [tex]10^{-3}[/tex] m
So the ball is moving in a circular path with radius r = 1.78 x [tex]10^{-3}[/tex]m, and the electric field at the location of the ball is:
E = 2.4 x [tex]10^{3}[/tex] N/C
Finally, we can calculate the force on the charged ball due to this electric field:
F = qE = (1.0 x [tex]10^{8}[/tex] C) * (2.4 x [tex]10^{3}[/tex] N/C)
F = 2.4 x [tex]10^{-5}[/tex]N
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A motorcycle travels, in one direction only, with an average speed of 916.66 m/min during the first 30 minutes of its travel and 900 m/min during the next 20 minutes.
Calculate (Units must be in units of the international system):
a. The total distance traveled.
b. The average speed.
Explanation:
a. To calculate the total distance traveled, we need to find the distance traveled during the first 30 minutes and the distance traveled during the next 20 minutes, and then add them up.
During the first 30 minutes:
distance = speed × time
distance = 916.66 m/min × 30 min
distance = 27,499.8 meters
During the next 20 minutes:
distance = speed × time
distance = 900 m/min × 20 min
distance = 18,000 meters
Total distance traveled:
distance = 27,499.8 meters + 18,000 meters
distance = 45,499.8 meters
Therefore, the total distance traveled is 45,499.8 meters.
b. To calculate the average speed, we need to divide the total distance traveled by the total time taken.
Total time taken:
time = 30 min + 20 min
time = 50 min
Average speed:
speed = distance ÷ time
speed = 45,499.8 meters ÷ 50 min
speed = 909.996 m/min
Therefore, the average speed is 909.996 m/min.
Two point charges q1 and q2 are arranged in a vertical straight line, as shown. Point A is located halfway between q1 and q2.
The point charges are q1 = 5 μC and q2 = -10 μC.
What is the magnitude of the net electric field at point A ?
A: −2.81 × 108 N/C
B: −1.12 × 108 N/C
C: 8.43 × 107 N/C
D: 3.47 × 108 N/C
The net electric field at point A is -1.12 108 N/C in size.
What do charges Q1 Q2 0 and Q1 Q2 0 mean in terms of electric charge?In light of the fact that both the charge q1 and the other charge q2 are equal to zero. According to the equation, one charge is positive and the other is negative. Both charges are of similar size. This indicates that the two supplied charges on the system will add up to a total charge of zero.
E = k*q/r²
where E is the electric field, q is the charge, r is the distance from the charge, and k is Coulomb's constant, which has a value of 8.99 × 10^9 N·m²/C².
d1 = d2 = (1/2) * (0.1 m) = 0.05 m
E1 = k*q1/d1² = (8.99 × 10⁹ N·m²/C²) * (5 × 10⁻⁶ C) / (0.05 m)² = 1.8 × 10⁸ N/C
E2 = k*q2/d2² = (8.99 × 10^⁹ N·m²/C²) * (10 × 10⁻⁶ C) / (0.05 m)² = 3.6 × 10⁸ N/C
E net = E1 - E2 = 1.8 × 10⁸ N/C - 3.6 × 10⁸ N/C = -1.12 108 N/C.
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1 Fig B U 99 m 33 m A student stands at P so that his distance from building A is 33 m. After clapping his hands once, he hears several echoes. The speed of sound in air is 330 m/s. a) Calculate the time interval between clapping his hands and hearing (i) the first echo, (ii) the third echo chamber containing air.
Using the principle of the echo, we can see that the first echo can be heard after 0.2 s.
What is echo?In acoustics, an echo refers to the reflection of sound waves off a surface and back to the listener. When sound waves encounter a hard surface, such as a wall or mountain, some of the energy is reflected back towards the source.
To find the time interval for the first echo;
v = 2x/t
t = 2x/v
t = 2(33)/330
t = 0.2 s
Echoes are often heard in large open spaces such as auditoriums, canyons, or empty rooms. They can also be artificially created using electronic sound processing equipment, such as reverb effects in music production or sound systems in large events.
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Q) A velocity field is given as V = (ay,−ax + abt,0 ),
a.) Find the streamline equation for this flow field.
b.) Plot at least 3-streamlines in the xy-plane for a=1, and b=1.
c.) Indicate the direction of the flow on each streamline at point (2,3) in the
first quadrant.
For a vector field:
a) the streamline equation is y = Ce^(-0.5ax²+abty)
b) three streamlines include; y = e^(-0.5x²+bt), y = 2e^(-0.5x²+bt), y = 3e^(-0.5x²+bt)
c) direction of flow at points (2,3) is (3a, -2a+3bt)
How to calculate streamlines?a) To find the streamline equation, use the definition that the velocity vector is tangent to the streamline at every point along the streamline. Let (x,y) be a point on a streamline, then:
dx/dt = a y
dy/dt = -a x + abt
Using the chain rule:
dy/dx = (dy/dt)/(dx/dt) = (-a x + abt)/(a y)
Integrating both sides:
ln |y| = -0.5 a x² + abt y + C
where C is a constant of integration. Solving for y:
y = Ce^(-0.5ax²+abty)
This is the equation of a streamline.
b) To plot the streamlines, use the equation we derived in part (a) and choose different values of C to get different streamlines. For example, if we choose C = 1, 2, 3, then the streamlines will be:
y = e^(-0.5x²+bt), y = 2e^(-0.5x²+bt), y = 3e^(-0.5x²+bt)
c) To indicate the direction of the flow on each streamline at point (2,3), we need to evaluate the velocity vector at that point.
V = (ay,-ax + abt,0)
At point (2,3):
V = (3a, -2a+3bt, 0)
The direction of the flow is given by the direction of the velocity vector. In this case, the velocity vector points in the direction of (3a, -2a+3bt), which depends on the values of a, b, and t.
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We perform the experiment with the same rod employed in the previous experiment, but now the rod is mounted on our smart cart. The cart is pushed with maximum acceleration a. Justify based on theory the maximum displacement angle observed in both runs. Watch it here and get the data here. [Hint: There is common ground between this question and section 3 in lab 2].
The maximum displacement angle observed in the experiment can be calculated based on the acceleration of the cart and the value of g.
What is Displacement Angle?
Displacement angle is the angle through which an object has moved or rotated with respect to a reference point or position. In the case of a pendulum, it refers to the maximum angle the pendulum swings away from its vertical position before reversing direction due to the force of gravity.
The maximum displacement angle observed in the experiment depends on the initial velocity of the pendulum and the acceleration of the cart. When the cart is pushed with maximum acceleration a, the pendulum initially experiences a force due to its inertia, which causes it to move at an angle. The angle of displacement is directly proportional to the initial velocity of the pendulum.
Based on the theory of pendulums, the maximum angle of displacement is given by:
θ = arcsin(a/g)
Where θ is the maximum angle of displacement, a is the acceleration of the cart, and g is the acceleration due to gravity (approximately 9.81 m/[tex]s^{2}[/tex]).
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In the figure, a small block of mass m = 0.019 kg can slide along the frictionless loop-the-loop, with loop radius R = 13 cm. The block is
released from rest at point P, at height h = 5R above the bottom of the loop. How much work does the gravitational force do on the
block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P, (d) at point Q, and (e) at the top of the loop?
The amount of work done as the block travels from point P to (a) point Q is 0.096J, (b) the top of the loop is 0.072J, the potential energy when the block is (c) at point P is 0.121 J, (d) at Q is 0.024 J, (e) at top is 0.048 J
Given the mass of small block (m) = 0.019kg
The radius of loop (R) = 13cm.
The height of point P (H) = 5R = 5 *13 = 65cm
the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop.
We know that the potential energy is calculated as (PE) = m*g*h where g is the gravitational acceleration = [tex]9.8m/s^2[/tex]
(a) The work done by the gravitational force on the block as the block travels from point P to point Q is: W = F * d = m*g*d
the distance from point P to Q = 4R = 4 * 13 = 52cm
W =[tex](0.019 kg)*(9.8 m/s^2)*(4R) = 0.096J[/tex]
(b) The work done by the gravitational force on the block as the block travels from point P to the top of the loop is:
Here the displacement from point P to top of loop = H - 2R = 3R = 39cm
W = m*g*h = [tex](0.019 kg)*(9.8 m/s^2)*(3R) = 0.072J[/tex]
(c) The gravitational potential energy of the block-Earth system at point P is: PE = mgh = [tex](0.019 kg) * (9.8 m/s^2) * (5R) = 0.121 J[/tex]
(d) The gravitational potential energy of the block-Earth system at point Q is: PE = mgh = [tex](0.019 kg) * (9.8 m/s^2) * (R) = 0.024 J[/tex]
(e) The gravitational potential energy of the block-Earth system at the top of the loop is:
PE = mgh =[tex](0.019 kg)*(9.8 m/s^2)*(2R) = 0.048 J[/tex]
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On a 2,000 km trip, you stop once for gas, once at a rest stop and once for lunch. What is
your average speed if it takes you 10 hours to get to your destination?
The journey is completed at an average speed of 285.7 km/h.
How fast is 10 kilometres in 30 minutes?10 kilometres is the distance. Time is measured in 30 minute increments. We are aware that time*speed equals distance. Thus, the formula for speed is: speed = distance/time (10/0.5) = 100/5 = 20 km/h. That is speed = distance time. Alternatively, you can calculate the time by dividing the distance travelled by the speed.
We may divide the total distance travelled by the amount of time spent driving to determine the average speed:
Average speed = total distance/time spent driving
Total distance = 2,000 km
Time spent driving = 7 hours
Average speed = 2,000 km / 7 hours
Average speed = 285.7 km/hour
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HELP NEEDED!!!!!!! [ Reward for answering *Brianliest* ]
Answer:
Amps are units of current.
Volts are units of voltage.
Ohms are units of resistance.
Explanation:
You're welcome.
Can someone please help me find the equivalent resistance of this circuit.
The equivalent resistance of 5 resistors in parallel, each having a value of "R" is R/5.
What is the equivalent resistance of parallel circuit?
A parallel circuit is an electrical circuit that has two or more paths for the current to flow through. In a parallel circuit, the components are connected in such a way that the voltage across each component is the same, while the current through each component may be different
The given circuit has 5 resistors arranged parallel to each other.
The equivalent resistance of 5 resistors in parallel, each having a value of "R" is given by:
1/R_eq = 1/R + 1/R + 1/R + 1/R + 1/R
Simplifying the equation, we get:
1/R_eq = 5/R
Multiplying both sides by R, we get:
R_eq = R/5
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LIGHT
L MULTIPLE CHOICE. Choose the best answer from the box provided.
Translucent
Reflected Rays
Transparent
Beam of light
Photometry
Incident Rays
or medium.
of one steradian
Non-Luminous Objects Luminous Objects
Candela
Brightness
Dispersion
Luminous Intensity
Refracted Rays
Light Ray
Opaque
1. It can be expressed as luminous intensity with a unit known as Candela.
2. It refers to the light traveling in one direction in a straight line.
3. Rays of light that point towards and strike a surface.
4. It is the fundamental unit of luminous intensity.
5. Allow light to easily pass through.
6. It is the process of splitting white light into its constituent colors ROYGBIV.
7. Rays that formed when a light goes through a surface and bend due to a change of material
8. It does not let light pass through.
9. It refers to the amount of light power emanating from a point source within a solid angle
10. It deals with the measurement of visible light as perceived by the human eye.
11. Allow light to pass through but distant the light during the passage.
12. It is a group of rays given out from a source.
13. These are objects that can not emit their own light.
14. Rays of light that bounce off of a surface.
15. Those that can not emit their own light.
1.Luminous Intensity-It can be expressed as luminous intensity with a unit known as Candela.
2.Light Ray- It refers to the light traveling in one direction in a straight line.
3.Incident Rays- Rays of light that point towards and strike a surface.
4.Candela- It is the fundamental unit of luminous intensity.
5.Transparent-Allow light to easily pass through.
6.Dispersion-It is the process of splitting white light into its constituent colors ROYGBIV.
7.Refracted Rays-Rays that formed when a light goes through a surface and bend due to a change of material.
8.Opaque- It does not let light pass through.
9.Photometry-It refers to the amount of light power emanating from a point source within a solid angle
10.Brightness-It deals with the measurement of visible light as perceived by the human eye.
11.Translucent- Allow light to pass through but distant the light during the passage.
12.Beam of light-It is a group of rays given out from a source.
13.Non-Luminous Objects- These are objects that cannot emit their own light.
14.Reflected Rays- Rays of light that bounce off of a surface.
15.Non-Luminous Objects-Those that cannot emit their own light.
What is Luminous intensity?Luminous intensity is a measure of the amount of light emitted from a point source in a particular direction per unit time. It is expressed in the SI unit of candela (cd).
Luminous intensity is a fundamental concept in photometry, which is the study of the measurement of visible light as perceived by the human eye. The luminous intensity of a light source depends on various factors such as the amount of power it emits, the wavelength of light, and the efficiency of the source in converting electrical energy into light.
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The motion of objects in regard to other objects is called _____ motion.
Answer:
The motion of objects in regard to other objects is called relative motion.
Explanation:
Relative motion is the motion of an object in relation to another object or point. It is the description of the movement of an object with respect to a frame of reference or another object in motion. The concept of relative motion is used to describe the motion of objects in everyday life, such as the motion of a car on a highway relative to the motion of other cars or the motion of a person walking on a moving train relative to the motion of the train. The velocity and direction of an object's relative motion are determined by comparing its motion to the motion of a chosen reference point or object.
Hope this is helpful
Which of the following is an example of an object with only gravitational potential energy?
Group of answer choices
A book resting on a shelf.
A ball thrown straight upwards
A bone lying on the floor
A fruit falling down off of a tree.
Since they are not at a height above the ground where gravity can act on them, A ball thrown straight upwards and a bone on the floor both have zero gravitational potential energy.
Of the objects, which one contains gravitational potential energy?If an object is placed at a height above (or below) the zero height, it has gravitational potential energy. If an object is not in its equilibrium position on an elastic material, it has elastic potential energy.
Gravitational potential: What is it?The term gravitational potential energy refers to the energy that an item stores as a result of its elevation above the Earth's surface. This energy is a result of an object being subjected to gravity. EP=mgh.
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You are on an island where a huge explosion at a distance of 500 miles away can be heard. How long (in seconds) does it take the sound to travel to your location? Assume the temperature of the air is 20 oC. (1 mile = 1.6 km)
A. 1.4 s
B. 2340.1 s
C. 50.7 s
D. 8955.4 s
The option B. 2340.1 s is correct. It takes 2340.1 s for the sound to travel to your location when a huge explosion at a distance of 500 miles away can be heard.
Given the distance the sound of explosion can be heard (d) = 500miles
the temperature of the air is (T) = 20°C = 20 + 273 = 293K
1 mile = 1.6km then 500 miles = 500 * 1.6 = 800km
The time up to which the sound can be heard = t
The speed of sound at normal temperature = 331m/s
Then the speed of sound in air at 20°C is (v) = [tex]331 * \sqrt{T/273}[/tex]
Also time is calculated as distance per unit speed such that t = d/v
Then, t =[tex]800km/331 * \sqrt{T/273} = 800 * 10^3/331 * \sqrt{293/273} = 2413/1.03[/tex]
t = 2340.1 s
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Space tourists promoted motel and restaurant development.
Retired space professionals promoted new home and community growth.
Space themed business opened all over.
More colleges and universities taught space related mathematics, engineering, sciences, and foreign languages.
Which of these is true of all the above statements?
Responses
A Space is the only important aspect of Florida's culture.Space is the only important aspect of Florida's culture.
B Space has had very little influence of Florida's culture.Space has had very little influence of Florida's culture.
C Space is a very important aspect of Florida's culture.Space is a very important aspect of Florida's culture.
D Space has not been a very important aspect of Florida's culture.
(update: its c)
The right answer is C. Space plays a significant role in Florida culture. Space plays a significant role in Florida culture.
What additional elements, outside space-related activity, have helped Florida's culture develop?The natural environment, history, diversified population, and well-liked attractions like beaches and amusement parks are some of the influences on Florida's culture.
What are some possible negative effects of making space-related pursuits a significant part of Florida's culture?Although Florida has benefited economically and educationally from space-related activity, focusing on this industry as a significant part of the state's culture could have negative effects. Moreover, emphasizing space-related operations could put other crucial industries, like healthcare or environmental conservation.
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A ray of light in water has a wavelength of 4.42×
[tex] {10}^{ - 7} m[/tex]
What is the wavelength of that way while passing through ice?
When light is travelling through ice, its wavelength is 4.50 10⁻⁷ metres.
When light travels from air to glass, what happens to its wavelength?Since glass has a higher index of refraction than air, light travels more slowly through glass than through air (n=c/v). Although the wavelength does not change, the frequency does because the speed does.
The following equation describes the relationship between the wavelengths of light in two different media:
n1 * λ1 = n2 * λ2
We may rewrite this equation to get the wavelength of the light in the second medium while assuming that the light's frequency stays constant: λ2 = (n1 / n2) * λ1
For water, the refractive index is about 1.333, and for ice, it is about 1.31. Therefore, we have:
λ2 = (1.333 / 1.31) * 4.42×10⁻⁷ m
λ2 = 4.50×10⁻⁷ m
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A spring stretches 6.0 cm when a 0.25 kg block is hung from it.
If a 0.80 kg block replaces the 0.25 kg block, how far does the spring stretch?
When a 0.80 Kg block is used in place of a 0.25 Kg block, the length of the string is increased by 19.6 cm.
How does spring stretch become calculated?The formula used by the Hooke's Law Calculator is Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, or the length by which the spring is being stretched
We'll start by determining the spring's string constant. Specifics below:
Extension (e) = 6.0 cm
Mass (m) = 0.25 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Force (F) = mg = 0.25 × 9.8 = 2.45 N
Spring constant (K) =?
F = Ke
2.45 = K × 6
Divide both sides by 6
K = 2.45 / 6
K = 0.40 N/cm
The extension will be calculated after the 0.25 kg block is replaced with the 0.80 kg block. As demonstrated below:
Mass (m) = 0.80 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Force (F) = mg = 0.80 × 9.8 = 7.84 N
Spring constant (K) = 0.40 N/cm
Extension (e) = ?
F = Ke
7.84 = 0.40 × e
Divide both sides by 0.40
e = 7.84 / 0.40
e = 19.6 cm
We may thus deduce from the preceding computation that the spring will lengthen by 19.6 cm.
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This is physics thanks .:)
The image formed when an object is placed at the center of the curvature of a concave mirror is real.
What are the characteristics of the image?
When an object is placed at the center of curvature (D₀ = R) of a concave mirror, the image formed is known as the real and inverted image.
The image characteristics are as follows:
Nature: Real and Inverted
The image formed by a concave mirror when an object is placed at the center of curvature is a real image, which means that the light rays actually converge at a point in front of the mirror, forming an inverted image.
Size:
The size of the image formed at the center of curvature of the concave mirror is the same as the size of the object. Therefore, the image size is equal to the object size.
Position:
The position of the image formed is at the center of curvature (C) of the concave mirror. Hence, the distance of the image from the mirror is equal to the distance of the object from the mirror, i.e., Dᵢ = D₀ = R.
Real or Virtual:
The image formed is real because the light rays converge at a point in front of the mirror, and the image can be obtained on a screen.
Magnification:
The magnification of the image formed is unity, which means that the size of the image is the same as that of the object. Hence, the magnification is equal to one.
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