The average force the bat exerts on the ball is -5200 N. This can be calculated using the equation F = Δp/Δt, where F is the average force, Δp is the change in momentum (pf-pi), and Δt is the time interval. In this case, Δp = m * (vf - vi) = 0.14 kg * (44 m/s - 30 m/s) = 5.4 kgm/s, and Δt = 0.002 s. Thus, F = 5.4 kgm/s / 0.002 s = -5200 N.
The _________________ the two objects are, the____________ gravitational force they have.
The farther apart the two objects are, the weaker gravitational force they have. Conversely, the closer the objects are, the stronger the gravitational force between them.
What is gravitational force?
Gravitational force is the force of attraction between two objects due to their masses. The greater the mass of the objects, the greater the gravitational force between them. Similarly, thethe closer the objects are to each other, the greater the gravitational force between them. This means that if the distance between two objects is doubled, the gravitational force between them is reduced to one-fourth of its original value.To know more about gravitational force, click the link given below:
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Rory is on a seesaw. He is at the highest point, and his partner is at the lowest point. The angle of the seesaw is 29.7° above horizontal, Rory is 2.11 m from the fulcrum, and he has a mass of 35.4 kg. What is the torque that Rory is exerting on the seesaw?
636 Nm
363 Nm
64.9 Nm
37.0 Nm
According to the question the torque that Rory is exerting on the seesaw is 636 Nm.
What is torque?Torque is a type of rotational force or moment that can be applied to an object. It is typically measured in units of Newton meters (Nm). Torque is the rotational equivalent of linear force, and it is calculated by multiplying the force applied by the distance from the pivot point. When a torque is applied to an object, it causes the object to rotate about a pivot point. Torque can be used to perform work such as turning a bolt or lifting an object.
The torque (τ) exerted by Rory on the seesaw is equal to the mass of Rory (m) multiplied by the distance from the fulcrum (d) times the sine of the angle of the seesaw (θ):
τ = m x d x sin θ
Therefore, in this case, the torque that Rory is exerting on the seesaw is:
τ = 35.4 kg x 2.11 m x sin(29.7°) = 636 Nm
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The large block shown is =4.0×101 cm
wide, =3.0×101 cm
long, and =5.0 cm
high. This block is passing through air (density of air =1.43 kg/m3)
at a speed of =8.64 m/s
.
A rectangular block with three, different velocity vectors. The box is x wide by z high by y deep. Velocity vector v subscript 1 points perpendicularly outward from the face defined by the x and z dimensions. Velocity vector v subscript 2 points perpendicularly outward from the face defined by the y and z dimensions. Velocity vector v subscript 3 points perpendicularly outward from the face defined by the x and y dimensions.
Find the drag force d,1 acting on the block when it has the velocity ⃗ 1 and a drag coefficient Γ=0.872
Find the drag force d,2 acting on the block when it has the velocity ⃗ 2 with a drag coefficient Γ=0.959
Find the drag force d,3 acting on the block when it has the velocity ⃗ 3 with a drag coefficient Γ=1.13
.
Therefore, the drag forces for each velocity vector are: Fd,1 = 20.86 * x * z Newtons, Fd,2 = 23.18 * y * z Newtons and Fd,3 = 28.38 * x * y Newtons.
How to calculate drag forces and velocity vector?
To solve this problem, we need to use the drag force equation:
Fd = 1/2 * Γ * ρ * A * v^2
where Fd is the drag force, Γ is the drag coefficient, ρ is the density of the fluid (in this case, air), A is the area of the object perpendicular to the flow of the fluid, and v is the velocity of the object relative to the fluid.
For each velocity vector, we need to calculate the area perpendicular to the flow of the fluid and then use the drag force equation to find the drag force.
Velocity vector v1:
The area perpendicular to the flow of the fluid is the area of the face defined by the x and z dimensions, which is x * z. Therefore, A = x * z.
The velocity of the block relative to the fluid is the magnitude of the velocity vector, which is given as 8.64 m/s.
Substituting the values into the drag force equation, we get:
Fd,1 = 1/2 * 0.872 * 1.43 kg/m^3 * (x * z) * (8.64 m/s)^2
= 20.86 * x * z Newtons
Velocity vector v2:
The area perpendicular to the flow of the fluid is the area of the face defined by the y and z dimensions, which is y * z. Therefore, A = y * z.
The velocity of the block relative to the fluid is the magnitude of the velocity vector, which is given as 8.64 m/s.
Substituting the values into the drag force equation, we get:
Fd,2 = 1/2 * 0.959 * 1.43 kg/m^3 * (y * z) * (8.64 m/s)^2
= 23.18 * y * z Newtons
Velocity vector v3:
The area perpendicular to the flow of the fluid is the area of the face defined by the x and y dimensions, which is x * y. Therefore, A = x * y.
The velocity of the block relative to the fluid is the magnitude of the velocity vector, which is given as 8.64 m/s.
Substituting the values into the drag force equation, we get:
Fd,3 = 1/2 * 1.13 * 1.43 kg/m^3 * (x * y) * (8.64 m/s)^2
= 28.38 * x * y Newtons
Therefore, the drag forces for each velocity vector are:
Fd,1 = 20.86 * x * z Newtons
Fd,2 = 23.18 * y * z Newtons
Fd,3 = 28.38 * x * y Newtons
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What is the volume of gold obtained once submerged into the water
If the crown was indeed made of pure gold, it would displace 31.1 cm^3 of water.
What is Archimedes' principle?Archimedes' principle is a law of physics that states that when an object is immersed in a fluid, it experiences an upward force equal in magnitude to the weight of the fluid it displaces. In other words, the buoyant force on an object is equal to the weight of the fluid it displaces.
The density of gold is 19.3 g/cm³, which means that a cubic centimeter of gold has a mass of 19.3 grams.
Let V be the volume of water displaced by the crown if it is made of pure gold. According to Archimedes' principle, the volume of water displaced is equal to the volume of the crown. Since the crown is assumed to be made of pure gold, its volume can be calculated as follows:
Density of gold = Mass of crown / Volume of crown
Solving for the volume of the crown, we get:
Volume of crown = Mass of crown / Density of gold
Plugging in the given values, we get:
Volume of crown = (6.00 x 10² g) / (19.3 g/cm³)
Volume of crown = 31.1 cm³
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using F=MA, if you weighed 375N what would your mass be *have to show work*
Answer:
38.22 kg
Explanation:
To use the formula F=ma to find the mass of an object, we need to know the force acting on it and its acceleration. In this case, the force acting on the object is its weight, which we can find using the equation:
weight = mass x acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.81 m/s^2. Therefore, we can write:
weight = mass x 9.81 m/s^2
We are given that the weight of the object is 375 N. Substituting this value into the equation, we get:
375 N = mass x 9.81 m/s^2
To solve for mass, we need to isolate it on one side of the equation. We can do this by dividing both sides by 9.81 m/s^2:
mass = 375 N / 9.81 m/s^2
Using a calculator, we can evaluate this expression to get:
mass = 38.22 kg
Therefore, if an object weighs 375 N, its mass is approximately 38.22 kg on Earth.
if five violins sound the same note of 1000Hz, each at the same sound pressure level of 60 dB, what is their total intensity in decibels, compared with the violin alone?
When five violins play the same note with a sound pressure of 60 dB, the total intensity is 66.99 dB, as opposed to just one violin.
What is an illustration of pressure?Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut any surface of the fruit if you press the flat part of a knife against it. A sizable area is affected by the force.
What 2 sorts of pressure are there?Absolute and gauge pressure are the two fundamental forms of pressure, and the reference pressure, which serves as a comparison between them, is what distinguishes them. Someone may find the lingo used to convey the chemical properties of a pressurized system to be a little confusing.
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A water pump of 1.2kw rating pumps 480kg of water into an overhead tank at a height of 5m in 30 seconds. The efficiency of the pump os what
The efficiency of the pump defines its capacity to pump water upto a certain height under applied rated power. The formula for the efficiency of the pump can be given by,
η=power required/rated power
Answer and
0.654
The figure shows an arrangement of a very large, charged disk of radius R = 0.2 m and a dipole such that the net electric field at the point marked 'x', at a distance d=3.2 cm from the center of the dipole, is zero. The magnitude of the dipole moment of the dipole is 1.5e-12 C.m. (Figure provided in the photo)
A. Is the disk negatively charged or positively charged?
B. Calculate the charge density of the disk.
C. Calculate the charrge on the disk.
A. We must examine the direction of the electric field the disk produces in order to identify whether it is negatively or positively charged.
If a charged disk is positively charged, the electric field it produces is directed away from the disk, and if it is negatively charged, the electric field is directed toward the disk.
The electric field owing to the disk must be directed away from the disk since the electric field due to the dipole at point "x" is directed toward the positive charge, proving that the disk is positively charged.
B. The electric field at point 'x' due to the disk can be calculated using Gauss's law, which gives us:
E = σ/(2ε0),
σ/(2ε0) = 0
σ = 0
This indicates that the disk has zero charge density.
C. Since the disk has zero charge density, the charge on the disk is also zero. Therefore, there is no charge on the disk.
Describe the dipole moment using an example.The symmetry of the molecules is established using the dipole moment. The molecules would not be symmetrical and have some dipole moment if they contained two or more polar links.
For illustration, H2O = 1.84 D and CH 3Cl, or methyl chloride, = 1
Why does a dipole moment exist?When there is a separation of charge, dipole moments happen.
Dipole moments, which result from variations in electronegativity, can happen between atoms in a covalent link or between two ions in an ionic bond.
The dipole moment increases with the difference in electronegativity.
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If a force of 50.0 N acts on a 3.0 kg object for 2.0 seconds, what will its change in momentum be? what will its change in velocity be?
100 kg*m/s
300 kg*m/s
75 kg*m/s
150 kg*m/s
PART B
33 m/s
150 m/s
75 m/s
70 m/s
Answer:
The change in momentum will be 100 kg*m/s, and the change in velocity will be 33 m/s.
Explanation:
A charge of 4.60 mC
is placed at each corner of a square 0.100 m
on a side.
A) Determine the magnitude of the force on each charge.
B) Determine the direction of the force on each charge. Assume that the positive x-axis is directed to the right.
Answer:
A. 1.66x10^-3 N
B. An angle of 45 degrees from the positive x-axis
Explanation:
To solve this problem, we can use Coulomb's law, which states that the force between two point charges is given by:
F = kq1q2/r^2
where k is Coulomb's constant (k=8.99x10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
A) Magnitude of force on each charge:
The force on each charge due to the other three charges is the vector sum of the individual forces. Since the charges are located at the corners of a square, the distance between each pair of charges is r = 0.100 m * sqrt(2) = 0.1414 m.
Using Coulomb's law, the magnitude of the force on each charge is:
F = kq1q2/r^2
= 8.99 x 10^9 N m^2/C^2 * (4.60 x 10^-3 C)^2 / (0.1414 m)^2
= 1.66 x 10^-3 N
So the magnitude of the force on each charge is 1.66 x 10^-3 N.
B) Direction of force on each charge:
The force on each charge due to the other three charges is a vector sum of the individual forces, so we need to use vector addition to find the direction of the net force. We can break the forces into x- and y-components and then add them up.
Since the charges are located at the corners of a square, the force on each charge will be directed along the diagonal of the square. Let's define the positive x-axis to be to the right and the positive y-axis to be up. Then, the direction of the force on each charge will be at an angle of 45 degrees from the positive x-axis.
The x-component of the force will be equal in magnitude for each charge since they are all equidistant from the y-axis. Using trigonometry, we can find that the x-component of the force is:
F(x) = F * cos(45) = 1.18 x 10^-3 N
The y-component of the force will be equal in magnitude for each charge since they are all equidistant from the x-axis. Using trigonometry, we can find that the y-component of the force is:
F(y) = F * sin(45) = 1.18 x 10^-3 N
So the direction of the force on each charge is at an angle of 45 degrees from the positive x-axis and has components of 1.18 x 10^-3 N in the x-direction and 1.18 x 10^-3 N in the y-direction.
NEED HELP ASAP
what is the maximum height achieved by a track star who goes into a long jump at 12m/s at an angle of 20.0 about the horizontal? (hint 12m/s is not the horizontal component of the velocity vector.)
11.76m is the maximum height achieved by a track star who goes into a long jump at 12m/s at an angle of 20.0 about the horizontal
Define projectile motion.
An object or particle that is projected into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity is said to be experiencing projectile motion.
Most calculations make the assumption that the effects of air resistance are passive and insignificant in the specific instance of Earth projectile motion. Galileo demonstrated that the curved path of objects in projectile motion is a parabola; however, in the unique situation where an object is hurled directly upwards, it may also be a straight line. Such a trajectory is a ballistic trajectory, which is the study of such movements.
v = u + at
a = g = 9.8m/s2
v = 0
u = 12 sin 20
t = 12 sin 20 /9.8 = 0.42 s
s = ut +1/2 at2
s = 12sin20 + 1/2 *9.8*0.42*0.42
s = 10.9 +.864 = 11.76m
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This piece of rock had broken off a much larger rock. Maria thinks that the density of the larger rock will be the same as the density of her piece. Is she correct? Circle your answer. yes no Explain your answer.
No, she is not correct. The density of the larger rock may be different than the density of her piece, depending on the composition of the rock and how it was formed.
What is density?Density is the measure of the mass of a substance per unit of volume. It is a physical property of a substance that can be used to identify the material. Density is calculated by dividing the mass of an object by its volume. Density is an intensive property, meaning it is independent of the size of the sample. The SI unit of density is kilograms per meter cubed (kg/m^3). Different materials have different densities, which can be compared to each other. For example, the density of water is 1 g/cm^3, while the density of lead is 11.3 g/cm^3. Density is an important physical property that is used in many scientific fields, such as physics and chemistry.
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A screw of a certain press has a pitch of 0.20 cm. The diameter of the wheel to which a tangential turning force F is applied is 55 cm. If the efficiency is 40 %, how large must F be to produce a force of 12 kN in the press?
To produce a force of 12 kN in the press, a tangential turning force of 1187500 N (1187.5 kN) must be applied to the wheel.
What is force?Force is an influence that causes a change in the motion, shape, or both of an object. It is the result of an interaction between two objects, and is described through Newton's three laws of motion. These laws explain the relationship between force, mass, and acceleration.
The pitch of the screw is the distance between two adjacent threads on the screw, and is 0.20 cm in this case. The wheel diameter is 55 cm.
To calculate the force needed to produce a force of 12 kN in the press, we use the following equation: F = (12000 N * 55 cm) / (0.20 cm * 0.4).
This equation takes into account the pitch of the screw, the wheel diameter, and the efficiency of the press.
Plugging in the numbers, we get: F = (12000 N * 55 cm) / (0.20 cm * 0.4) = 1187500 N.
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I’n a miracle of modern physics a 20.0-kg frictionless…
The acceleration of the lawn mower is 1.25 m/s².
The velocity of the lawn mower at the given time is 6.25 m/s.
What is the acceleration of the lawn mower?
The acceleration of the lawn mower is calculated by applying Newton's second law of motion as shown below.
Fx = ma
where;
Fx is the horizontal component of the forcem is the mass of the lawn mowera is the acceleration of the lawn mowerF cosθ = ma
where;
θ is the inclination of the force.a = ( F cosθ ) / m
a = ( 50 N x cos60 ) / 20 kg
a = 1.25 m/s²
The velocity of the lawn mower at the given time is calculated as;
v = at
v = 1.25 m/s² x 5 s
v = 6.25 m/s
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A bicyclist riding in the rain suddenly applies the brakes and slides to a stop. If the acceleration is −9.5 m/s2 , what is the coefficient of kinetic friction between the bicycle’s rubber tires and the wet concrete?
Answer & Explanation:
We can use the following equation to solve the problem:
a = -μk*g
where a is the acceleration, μk is the coefficient of kinetic friction, and g is the acceleration due to gravity (9.8 m/s2).
We are given that a = -9.5 m/s2. We can assume that g is constant and equal to 9.8 m/s2. Therefore, we can rearrange the equation to solve for μk:
μk = -a/g
μk = -(-9.5 m/s2) / 9.8 m/s2
μk = 0.969
Therefore, the coefficient of kinetic friction between the bicycle’s rubber tires and the wet concrete is 0.969.
Fill in the appropriate values for each blank as it refers to ATOM 1. The atomic number of this atom is
the mass of this atom is
The atomic number of the atoms is 3
The mass number of the atom is 6.
What is the atomic number of the atom?The atomic number of an atom is the number of protons in the nucleus of the atom. In a neutral atom, the atomic number also corresponds to the number of electrons orbiting around the nucleus.
The atomic number determines the identity of the element, since each element has a unique number of protons in its nucleus.
The atomic number is typically represented by the symbol Z in chemical equations and atomic models.
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If the cheetah is running at 22 m/s, how long would it take him to run 400 meters?.
Answer:
V = distance / time = S / t
t = S / V = 400 m / 22 m/s = 18.2 sec
A ballast bag is dropped from a balloon that is 300 m above the ground and rising at 13 m/s. For the bag, find (a) the maximum height reached, (b) its position and velocity 5.0 s after it is released, and (c) the time at which it hits the ground.
308.6 m the maximum height reached.
Define velocity
The main determinant of an object's location and rate of motion is its velocity. It can be explained as the distance an object travels in one measure of time. The displacement of the item in a given amount of time is referred to as velocity.
The distance a person travels in a predetermined amount of time is referred to as speed.
Vi is the starting speed.
Vf is final speed
A=acceleration and Y=displacement
When the bag is freed, its Vi equals that of a balloon traveling at 13 m/s upward.
At the moment of release, choose up as positive y=0.
Vf=0 when it is maximum. Using the equation 2Vf=2Vi+2ay,
0=(13m/s)2+2(9.81m/s2)y, and y=8.6m
300 + 8.6 = 308.6 m is the highest point.
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a boy drops a coin down a well that is 225m deep. how long does it take the coin to hit the bottom of the well?
the time is takes for the coin to hit the bottom of the well. t to obtain 6.87 seconds.
A brief explanation of time: what is it?Time is a continuous series of events that happen one after another, starting in the past and continuing into the present and the future, according to the definition of time in mathematics. The length of an event, the time between them, or even the sequence of occurrences can all be quantified, measured, or compared using the concept of time.
What does "time" mean in science?Time, according to physicists, is the flow of past occurrences into the present and the future. A system is essentially timeless if it is unchanging. The fifth dimension of reality, time, can be thought of as the means by which three-dimensional space events are described.
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what does ARD or " a red " stand for
Answer:
Atmospheric Reentry Demonstrator
Explanation:
Of thats not right im sorry
Please help (50 points and Brainly) #6
The second bullet with a mass of 0.006 kg has more kinetic energy with a value of 4.8 J compared to the first bullet with a mass of 0.003 kg and a KE value of 2.4 J.
What is kinetic energy?Kinetic energy is the type of energy that an object has because of the motion that it is making. It is the energy that an object possesses as a result of its velocity, and its value is determined by both the mass of the object and the speed at which it is moving. K stands for kinetic energy, m stands for the mass of the object, and v stands for the object's velocity.
The kinetic energy (KE) of an object is given by the formula:
[tex]KE = 1/2 * m * v^2[/tex]
where m is the mass of the object and v is its velocity.
Using this formula, we can calculate the kinetic energy of each bullet:
For the first bullet with a mass of 0.003 kg and velocity of 40.0 m/s:
[tex]KE1 = 1/2 * 0.003 kg * (40.0 m/s)^2 = 2.4 J[/tex]
For the second bullet with a mass of 0.006 kg and velocity of 40.0 m/s:
[tex]KE2 = 1/2 * 0.006 kg * (40.0 m/s)^2 = 4.8 J[/tex]
Therefore, the second bullet with a mass of 0.006 kg has more kinetic energy with a value of 4.8 J compared to the first bullet with a mass of 0.003 kg and a KE value of 2.4 J.
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A 0.35 g BB is fired into a stationary 6.0 g ball of clay. If the BB is fired with a speed of 46 m/s, and becomes embedded in the clay ball, how fast does the clay ball move after the collision?
3.9 m/s
2.7 m/s
23 m/s
2.5 m/s
According to the question the clay ball moves with a velocity of 2.5 m/s after the collision.
What is velocity?Velocity is the speed of an object in a specific direction. It is a vector quantity and is typically represented by the symbol v. It is the rate of change of an object's position and is expressed in units of distance divided by time, such as meters per second (m/s). Velocity can be constant, meaning the object is traveling at a steady speed, or it can be changing, meaning the object is accelerating or decelerating.
The answer is 2.5 m/s. This is because the total momentum of the system (BB + clay ball) before the collision is 0 (since the clay ball is stationary). Therefore, the total momentum of the system after the collision is 0 as well. Using the equation for momentum (p = mv), we can calculate the velocity of the clay ball after the collision.
p (total) = 0 = (0.35 g) (46 m/s) + (6.0 g) (v)
v = -2.5 m/s
Therefore, the clay ball moves with a velocity of 2.5 m/s after the collision.
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an electric kettle takes 2kw at 240v. Calculate the current and the resistance of the heating element
The power output is given 2000 watt and voltage is 240 v. Then the current through the heating element is 8.3 A and the resistance is 29 ohms.
What is power ?The power used by an object is the rate of its work done or energy. It is the energy divided by time. The power output in a circuit is the product of the potential difference V and current I.
P = I V
Given,
P = 2 kw = 2000 W
v = 240 V.
Then I = P/v
I = 2000 w/240 v = 8.3 A.
According to Ohm's law, voltage v is the product of the current and resistance through the material.
hence,
V = I R
then, R = V/I
R = 240 V/8.33 A
= 29 Ω.
Therefore, the current and resistance through the heating element are 8.3 A and 29 ohms respectively.
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Which falling object has the least kinetic energy when it collides on the ground?
A. 120 Kg of sand falling 12 m/s
B. 12 Kg of water falling at 10 m/s
C. 12 Kg of sand falling at 8 m/s
D. 120 Kg of water falling at 12 m/s
The object with the least kinetic energy, given the above instances is water with a mass of 12 Kg falling at 10 m/s (option B)
How do I know which object has the least kinetic energy?To know the object which has the least kinetic energy, we shall determine the kinetic energy of each objects. This is illustrated below:
For sand (Option A):
Mass (m) = 120 KgVelocity (v) = 12 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 120 × 12²
KE = 8640 J
For water (Option B):
Mass (m) = 12 KgVelocity (v) = 10 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 12 × 10²
KE = 60 J
For sand (Option C):
Mass (m) = 12 KgVelocity (v) = 8 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 12 × 8²
KE = 384 J
For water (Option D):
Mass (m) = 120 KgVelocity (v) = 12 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 120 × 12²
KE = 8640 J
From the above calculations, it is evident that the water with a mass of 12 Kg falling at 10 m/s has the least kinetic energy. Thus, the correct answer is option B
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You purchase a bag of potato chips at the grocery store. You forget you have them and leave the unopened bag on the floor of your car. The next day you go out to your car in the sweltering heat, 105 degrees. The bag of potato chips is inflated like a balloon and looks like it could pop! Why? How does this relate to Charles’ Law?
The bag of potato chips inflates due to the increase in temperature inside the car. As the temperature rises, the air molecules inside the bag gain energy and begin to move around faster, increasing the pressure inside the bag. Since the bag is airtight, the pressure cannot escape, causing the bag to expand.
What is Charles’ Law?
Charles' Law is a gas law that describes the relationship between the volume and temperature of a gas, assuming that the pressure and amount of gas remain constant. It states that the volume of a fixed amount of gas at a constant pressure is directly proportional to its absolute temperature.
The potato chip bag expands as a result of the car's increased temperature. The air molecules inside the bag gather energy as the temperature rises and start to travel more quickly, which raises the pressure inside the bag. The bag expands because the pressure within cannot leave because it is airtight.
Charles' Law, which states that the volume of a gas is precisely proportional to its absolute temperature for a set amount of gas at a constant pressure, can be used to explain this phenomena. If the pressure is constant, the volume of the gas increases along with the temperature.
Since the air inside a bag of potato chips behaves like a gas, when the temperature rises, the volume of air inside the bag also expands, increasing the pressure inside the bag and causing it to inflate.
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What is the total work wtot done on the block by all forces as the block moves a distance l up the incline? (include only the work done after the block has started moving, not the work needed to start the block moving from rest. ).
To calculate the total work done on the block by all forces as it moves a distance "l" up the incline, we need to consider the work done by each force separately.
What is the total work done on the block by all forces as the block moves a distance l up the incline?Assuming that the block is moving up the incline with a constant velocity, the net force on the block is zero. Therefore, the work done by the net force on the block is also zero.
However, there are two forces acting on the block: the force of gravity (Fg) and the force of friction (Ff). Since the block is moving up the incline, the direction of the frictional force is opposite to the direction of the displacement of the block, so the work done by the force of friction is negative.
The work done by the force of gravity is given by:
Wg = Fg * d
where Fg is the force of gravity acting on the block and d is the distance moved by the block in the direction of the force of gravity. Since the block is moving up the incline, the distance moved by the block in the direction of the force of gravity is l sinθ, where θ is the angle of inclination of the incline.
The work done by the force of friction is given by:
Wf = Ff * d
where Ff is the force of friction acting on the block and d is the distance moved by the block in the direction of the force of friction. Since the block is moving up the incline, the distance moved by the block in the direction of the force of friction is also l sinθ.
Since the force of friction is opposing the motion of the block, the work done by it is negative:
Wf = -μk * N * l sinθ
where μk is the coefficient of kinetic friction, N is the normal force exerted on the block by the incline and l sinθ is the distance moved by the block in the direction of the force of friction.
Therefore, the total work done on the block by all forces as it moves a distance "l" up the incline is:
Wtot = Wg + Wf
= Fg * l sinθ - μk * N * l sinθ
= (m * g * sinθ) * l sinθ - μk * (m * g * cosθ) * l sinθ
= (m * g * sinθ - μk * m * g * cosθ) * l sinθ
where m is the mass of the block, g is the acceleration due to gravity.
So, the total work done on the block by all forces as it moves a distance "l" up the incline is (m * g * sinθ - μk * m * g * cosθ) * l sinθ.
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The kinetic energy of the airliner of 80000 kg is given 11 × 10⁸ J. Then, the velocity of the airliner will be 165.8 m/s.
What is kinetic energy ?The kinetic energy of an object is generated by virtue of its motion. When an object starts moving from rest, its potential energy starts to convert into kinetic energy.
The kinetic energy of an object is related to its mass and velocity as follows:
Ke = 1/2 mv²
Given m = 80000 kg
Ke = 11 × 10⁸ J
then v = √(2 Ke/m)
v = √(2 × 11 × 10⁸ J /80000 kg)
= 165.83 m/s.
Therefore, the velocity of the airliner will be 165.83 m/s.
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Calculate the time required for a 6000-newton net force to stop a 1200-kilogram car initially traveling at 10 meters per second. [Show all work, including the equation and substitution with units.]
Answer:
To solve this problem, we will use the equation for the net force on an object, which is:
net force = mass x acceleration
We can rearrange this equation to solve for acceleration:
acceleration = net force / mass
Once we have the acceleration, we can use the equation for the motion of an object under constant acceleration:
final velocity^2 = initial velocity^2 + 2 x acceleration x distance
We can rearrange this equation to solve for the distance required to stop the car:
distance = initial velocity^2 / (2 x acceleration)
Finally, we can use the equation for average velocity to calculate the time required to travel this distance:
time = distance / average velocity
Substituting the given values into the equations:
net force = 6000 N
mass = 1200 kg
initial velocity = 10 m/s
Using the first equation:
acceleration = net force / mass
acceleration = 6000 N / 1200 kg
acceleration = 5 m/s^2
Using the second equation:
distance = initial velocity^2 / (2 x acceleration)
distance = 10 m/s^2 / (2 x 5 m/s^2)
distance = 10 m
Using the third equation:
average velocity = (initial velocity + final velocity) / 2
final velocity = 0 (since the car is coming to a stop)
average velocity = 10 m/s / 2
average velocity = 5 m/s
Using the fourth equation:
time = distance / average velocity
time = 10 m / 5 m/s
time = 2 seconds
Therefore, the time required for a 6000-newton net force to stop a 1200-kilogram car initially traveling at 10 meters per second is 2 seconds.
If a cube that has a length, height, and width of 4 cm is broken down into 8 cubes of equal size, what is the surface area of the 8 new cubes?
Answer: When a cube is divided into smaller cubes of equal size, the length, height, and width of each new cube are one-third of the original cube.
So each new cube will have a length, height, and width of 4/3 cm.
To calculate the surface area of each new cube, we need to find the area of each face and then add them up. Each cube has six faces, so we can calculate the surface area of one cube by multiplying the area of one face by six.
The area of one face of the new cube is (4/3)*(4/3) = 16/9 cm².
So the surface area of one new cube is 6*(16/9) = 96/9 cm² = 10.67 cm² (rounded to two decimal places).
Since we have 8 new cubes, the total surface area is 8 times the surface area of one new cube:
Total surface area = 8 * 10.67 cm² = 85.33 cm² (rounded to two decimal places).
Therefore, the surface area of the 8 new cubes is 85.33 cm².
The wind blows a lawn chair that weighs 4 kg into a fence with a force of 8 N. How much reaction force does the fence exert on the chair?
A 4 kilogram lawn chair that is blown into a fence by the wind experiences an 8 N reaction force from the fence.
What does "force" actually mean?Physics defines force as: The pushing or pulling of a massed object affects its velocity. An agent with the ability to change a body's resting and moving condition is known as an external force. It has a size and a movement.
What exactly are force and its unit?Force: Force is indeed a physical factor that alters or has the potential to alter an object's state of rest and motion as well as its shape. Newton is the SI unit of force.
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