The answer is "work is done". When a system moves an object over a distance, work is done.
What is Energy?
Energy is a property or characteristic of objects, substances, or systems that enables them to do work or cause change. It is an abstract concept that describes the potential or ability of a physical system to perform work, and it comes in many different forms, including kinetic energy, potential energy, thermal energy, electromagnetic energy, and nuclear energy. Energy is conserved in nature, meaning that it can neither be created nor destroyed, but only transformed from one form to another.
Work is the transfer of energy that occurs when a force is applied to an object and causes it to move. In this case, the force applied by the system causes the object to move over a distance, and energy is transferred from the system to the object. This energy transfer can take many forms, including kinetic energy, potential energy, and thermal energy. In some cases, heat may be generated as a result of the energy transfer, but this is not always the case.
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suppose you want to connect a capacitor to a single 10.0-v battery. 1) what capacitance do you need to store 12.0 c of charge? (express your answer to three significant figures.)
To store 12.0 C of charge, you would need a capacitor with capacitance of 1.20 F.
Battery capacity is the amount of battery electric current that can be supplied/flown to an external circuit or load within a certain time (hours) to provide a certain voltage.
The capacitance required to store 12.0 C of charge in a capacitor connected to a single 10.0 V battery can be calculated using the formula,
Q = CV
where Q is the charge, C is the capacitance, and V is the voltage. Rearranging this equation, we get,
C = Q/V
Plugging in the given values, we get,
C = 12.0C/10.0V = 1.20 F
Therefore, the capacitance required to store 12.0 C of charge is 1.20 F (to three significant figures).
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The cord from an appliance is too short to reach the wall outlet in your room. You have two extension cords to choose from. (a) Find the voltage drop in the first extension cord having a 0.0760 ? resistance and through which 5.60 A is flowing. V (b) The second extension cord is cheaper and utilizes thinner wire. It has a resistance of 0.760 ? and the current flowing through it is 5.60 A. By what amount does the voltage supplied to the appliance change when the first extension cord is replaced by the second?
When the first extension cord is replaced by the second then the voltage supplied to the appliance drops by 3.834 V.
The voltage drop in the first extension cord can be calculated using Ohm's law:
V = IR
where V is the voltage drop, I is current, and R is the resistance.
The voltage drop in the first extension cord is V = IR = (5.60 A) x (0.0760 Ω) = 0.4256 V.
The voltage drop across the second extension cord is also V = IR = (5.60 A) x (0.760 Ω) = 4.256 V.
Therefore, the voltage supplied to the appliance changes by (0.4256 V - 4.256 V) = - 3.8304 V when the first extension cord is replaced by the second.
Extension cords are useful for transferring power to areas where there are no outlets, and they can also come in handy in places where outlets are inaccessible. However, if you have two extension cords to choose from, the voltage drop in each cord can impact the amount of voltage supplied to the appliance.
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1) For the diagram below, you are looking down from above at a puck sliding on a frictionless
tabletop. The puck is sliding at a constant speed along a circular fence and just leaves
contact with the fence at position B. The fence and puck are also frictionless.
B
B
a) On the top drawing draw vectors and label them
for
any forces acting parallel to the table top on
the puck at positions A and B.
b) On the side views below, draw vectors and label
them for any forces acting perpendicular to the
tabletop.
side view at A
side view at B
c) Which of the forces above are inward forces?
d) Which of the forces above are outward forces?
e) What would be the equation for the net force on
the puck?
f) On the top drawing at position B draw a line at least
an inch long showing the path the puck will travel
after point B. How do you know?
g) On the bottom drawing, draw and label a velocity
and an acceleration vector on the puck at positions
A and B.
h) At position A is the net force on the puck zero?
How do you know?
i) At position B is the net force on the puck zero?
How do you know?
c the forces that are inward forces are ;F3 and f4
d. The centrifugal force is the outward force
e. equation is force = mu²/r
F. there would be no restriction at B
How to solve the problemsd. Along with circular motion, there will be centrifugal force (pseudo force) in the outer direction. It will exert an opposite force to that of inward forces.
(f) The path will not be constrained after point B. As a result, until a force acts on the puck, it will move in a straight line in accordance with Newton's first law. It will follow the straight line you have shown in the image since it is moving at a constant speed, v.
(g) The velocity vector will always move in the circular path's tangential direction (tangent to the circular fence). The circular path's center is always where the centripetal acceleration will act (in the normal direction of the circular path).
(h & I). The puck is moving in a circular motion while just altering its speed's direction and not its magnitude. As a result, the puck will experience a net force and acceleration. The net force is referred to as a centripetal or inward force. Without such an internal force, an object would always move in the same direction and stay in a straight line. This will clarify the two situations where the puck was in position A and B.
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what is the longest possible wavelength for the traveling waves that can interfere to form a standing wave on this string?
The longest possible wavelength for a standing wave on a string is: the length of the string itself
This is because, in order to create a standing wave, two traveling waves must interfere with one another and create a wave pattern that is fixed in space.
As the wavelength of the traveling waves increases, the nodes (points of zero displacements) of the standing wave become closer together. Therefore, if the wavelength is equal to the length of the string, the nodes of the standing wave are located at the two ends of the string and the wave pattern remains stationary.
This means that any longer wavelength traveling wave would not be able to interfere and form a standing wave on the string.
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what is the spring constant of a spring that is compressed 5.0 cm and has 0.325 j of elastic potential energy stored in it?
The spring constant of a spring that is compressed 5.0 cm and has 0.325 j of elastic potential energy stored in it is 13 N/cm.
What is the spring constant?
This is because of the spring constant:
k = (2 * elastic potential energy) / (change in length)²
Where elastic potential energy is:
elastic potential energy = (1/2) * k * (change in length)²
Substituting the given values:
0.325 = (1/2) * k * (0.05)²
Simplifying:
0.325 = 0.00125k
Solving for k:
k = 0.325 / 0.00125
= 260 N/m
= 26 N/cm
Therefore, the spring constant of the given spring is 13 N/cm (since 1 N/m = 0.1 N/cm).
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an object moves around a circular path at a constant speed and makes ten complete revolutions in 5 seconds. what is the frequency of rotation?
Answer:
circular path, 10 rotation in 5 sec
frequency of rotation = 10/5 = 2
Explanation:
The frequency of rotation for an object moving around a circular path at a constant speed and making ten complete revolutions in 5 seconds is 2 Hz (Hertz). This is because the frequency (f) is equal to the number of rotations (n) divided by the time (t).
In this case, n = 10 and t = 5, so the frequency is f = n/t = 10/5 = 2 Hz.
The frequency of rotation of an object moving around a circular path at a constant speed is calculated by dividing the number of revolutions by the total time taken.
In this case, the object is making 10 complete revolutions in 5 seconds, so the frequency of rotation is 10 revolutions divided by 5 seconds, or 2 revolutions per second. This can also be expressed in Hertz, which is the SI unit of frequency, and is equal to 1/s. In this case, the frequency is 2 Hertz. To calculate the frequency of rotation, we first need to identify the number of revolutions (or cycles) and the total time taken. Then, divide the number of revolutions by the total time taken to calculate the frequency of rotation. For example, if an object makes 10 complete revolutions in 5 seconds, then the frequency of rotation is 2 revolutions per second (2 Hertz).
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your car is accelerating to the right from a stop.for the steps and strategies involved in solving a similar problem, you may view a
To solve the given problem, it is important to understand the concept of acceleration and the forces acting on the car. The acceleration of a car is the rate at which its velocity changes over time.
The forces acting on the car can be divided into two components: the force of friction between the tires and the road, and the force of gravity acting on the car.
The force of friction depends on the nature of the road surface and the type of tires on the car. The force of gravity depends on the mass of the car and the gravitational acceleration.
It is given that the car is accelerating to the right from a stop. This means that the car is moving in the positive x-direction with an increasing velocity.Identify the forces acting on the car: The forces acting on the car are the force of friction and the force of gravity. The force of friction is acting in the opposite direction to the motion of the car and is given by f = μN, where μ is the coefficient of friction and N is the normal force acting on the car. The force of gravity is acting in the downward direction and is given by Fg = mg, where m is the mass of the car and g is the gravitational acceleration.Analyze the motion of the car using the concepts of force and acceleration. The net force acting on the car is given by Fnet = ma, where a is the acceleration of the car. From Newton's second law, we can write Fnet = f - Fg = ma. Solving for a, we get a = (f - Fg)/m.Calculate the acceleration of the car by substituting the values of f, Fg, and m in the above equation, we get a = (μN - mg)/m. The normal force acting on the car is equal to the weight of the car, which is given by N = mg. Substituting this value in the above equation, we get a = (μ - g)/m. This is the expression for the acceleration of the car.Therefore, a = (μ - g)/m is the expression for the acceleration of the car.
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a pulley wheel is 77 mm diameter and transmits 1 kw of power at 373 rev/min. the maximum belt tension is 1,116 n at this point. calculate the initial tension applied to the stationary belts.
The initial tension applied to the stationary belts is 1116 N.
The initial tension applied to the stationary belts can be calculated by using the following equation: T = (9.55 * P * n)/(π * D), where T is tension, P is power, n is rev/min, and D is diameter.
The power transmitted by the pulley wheel (1 kW) multiplied by the number of revolutions per minute (373 rev/min) gives us the total energy transmitted.
This energy can be divided by the circumference of the pulley wheel (π * D, where D is the diameter of the wheel).
This provides us with the initial tension (T) applied to the stationary belts. Substituting in the given values of P, n, and D into the equation gives us the initial tension of 1,116 N.
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dry air will break down and generate a spark if the electric field exceeds about 2.85e 6 n/c. how much charge could be packed onto a green pea (diameter 0.620 cm) before the pea spontaneously discharges?
2.48 × 10⁻¹² C charge can be packed onto a green pea before the pea spontaneously discharges.
The electric field at the surface of the sphere is given by the formula:
E = k × Q / r²
where:
k is the Coulomb's constant (8.99 × 10^9 N m²/C²),
Q is the charge on the sphere, and
r is the radius of the sphere.
Given:
Electric field strength for the breakdown, E = 2.85 × 10^6 N/C
Diameter of the pea, d = 0.620 cm = 0.0062 m
the electric field at the surface of the pea using the formula:
E = k × Q / r²
Q = E × r² / k
Q = 2.85 × 10⁶ × 0.0062²/ 8.99 × 10⁹
Q = 2.48 × 10⁻¹² C
Therefore, 2.48 × 10⁻¹² C charge can be packed onto a green pea before the pea spontaneously discharges.
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suppose the frequency of a note on an organ is 15 hz. what is the shortest organ pipe with both ends open that will resonate at this frequency? the velocity of sound in air is 343 m/s. answer in units of m.
The shortest organ pipe with both ends open that will resonate at a frequency of 15 Hz has a length of approximately 11.43 meters.
The wavelength of a sound wave is related to its frequency by the formula,
λ = v/f
where λ is the wavelength, v is the velocity of sound, and f is the frequency.
For a pipe with both ends open, the fundamental frequency (the lowest resonant frequency) is given by,
f = v/2L
where L is the length of the pipe.
We can combine these two equations to find the shortest length of an open pipe that will resonate at a frequency of 15 Hz,
λ = v/f = v/(v/2L) = 2L
L = λ/2 = v/(2f) = 343/(2*15) = 11.43 m
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mass than air) at the same temperature. how does this affect the normal-mode frequencies of the pipe?
When a pipe is filled with a liquid of higher density than air, the frequency of the normal modes of the pipe decreases.
This is due to the fact that the speed of sound is proportional to the square root of the ratio of the bulk modulus to the density of the medium in which it travels.
When the density of the medium inside the pipe increases, the velocity of sound decreases, causing the frequency of the normal modes to decrease.
he wavelength of the sound waves inside the pipe is shortened due to the increase in density, resulting in a lower frequency of the normal modes.
The frequency of the normal modes of a pipe is influenced by a variety of factors, including the diameter and length of the pipe, as well as the speed of sound in the medium inside the pipe. T
he frequency of the normal modes is inversely proportional to the length of the pipe, with longer pipes producing lower frequencies.
In the case of a pipe filled with a liquid of higher density than air, the frequency of the normal modes would be lower than if it were filled with air.
This is because the speed of sound in the liquid would be lower than in air, resulting in a decrease in the frequency of the normal modes.
When a pipe is filled with a liquid of higher density than air, the frequency of the normal modes of the pipe decreases.
This is due to the fact that the speed of sound in the liquid is lower than in air, resulting in a decrease in the frequency of the normal modes.
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gold has a density of 0.01932 kg/cm^3. what volume in cm^3 would be occupied by a 77.7 g sample of gold
77.7 g sample of gold will occupy a volume of 4 cm3.
A 77.7 g sample of gold will occupy a volume of 4 cm3, as calculated by using the equation D = m/V, where D is the density of gold (0.01932 kg/cm3), m is the mass of gold (77.7 g), and V is the volume of gold (4 cm3).
The mass needs to be converted from grams to kilograms, and the volume needs to be calculated. Divide the mass of gold (77.7 g) by 1,000:
m (in kg) = 77.7 g ÷ 1,000 = 0.0777 kg
V = m/D
V = 0.0777 kg ÷ 0.01932 kg/cm3 = 4 cm3
Therefore, a 77.7 g sample of gold will occupy a volume of 4 cm3.
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what wavelength em radiation would be emitted most strongly by matter at the temperature of the core of a nuclear explosion, about 10,000,000 k?
The wavelength of electromagnetic radiation that would be emitted most strongly by matter at the temperature of the core of a nuclear explosion of 10,000,000 k will be 2.898 × 10^-10 meters.
Wavelength of electromagnetic radiationThe wavelength of electromagnetic radiation emitted by matter at a certain temperature can be determined using Wien's displacement law, which states that the wavelength of maximum emission (λmax) is inversely proportional to the temperature of the object:
λmax = b / T
where b is a constant known as Wien's displacement constant, equal to 2.898 × 10^-3 m·K.
Substituting the given temperature of 10,000,000 K into this equation, we get:
λmax = (2.898 × 10^-3 m·K) / (10^7 K) = 2.898 × 10^-10 m
Therefore, the wavelength of electromagnetic radiation emitted most strongly by matter at the temperature of the core of a nuclear explosion is approximately 2.898 × 10^-10 meters, which corresponds to the ultraviolet region of the electromagnetic spectrum.
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a .1 kg ball traveling 20 m/s is caught by a catcher. in stopping the ball, the mitt recoils for .01 second. the average force applied to the ball is
The average force applied to the ball is 200 N.
The average force applied to the ball is:
F = Δp/Δt
Where F is the average force applied to the ball
Δp is the change in momentum
Δt is the change in time
Change in momentum is given by the formula:
Δp = m * Δv
Where Δp is the change in momentum
m is the mass of the ball Δv is the change in velocity
Change in time is given as Δt = 0.01 s
The mass of the ball is 0.1 kg
The initial velocity of the ball is 20 m/s
The final velocity of the ball is zero because the ball has stopped.
Δv = -20 m/s
Substitute the values in the formula,
Δp = m * ΔvΔp = 0.1 * (-20)Δp = -2 Ns
F = Δp/ΔtF
= (-2 Ns) / (0.01 s)
F = -200 N
The negative sign in the result indicates that the direction of force is opposite to the direction of motion.
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air is compressed in a piston-cylinder device from 5 m3 to 3 m3 at a constant pressure of 1000 kpa. determine the amount of boundary work for the process.
The amount of boundary work for the given process is −2000 kJ.
For the piston-cylinder device, the values are as follows:
The initial volume, V₁ = 5m³, Final volume, V₂ = 3m³, Pressure, P = 1000 kPa.
We need to determine the amount of boundary work for the given process. The boundary work is represented as Wb.
Boundary work is the work done by the system to move or push the piston against the external pressure during the volume change. Boundary work,
Wb = P × (V₂ − V₁)
Here, P is the pressure, and (V₂ − V₁) is the change in volume.
Substituting the given values in the formula,
Wb = 1000 kPa × (3 m³ − 5 m³)
Wb = 1000 kPa × (−2 m³)
Wb = −2000 kJ.
Note that the work done by the system is negative, which is indicated by the negative sign in the answer.
Therefore, the amount of boundary work when air is compressed in a piston-cylinder device from 5m³ to 3m³ at a constant pressure of 1000 kPa is −2000 kJ.
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1. A string of length 1.23 m vibrates in such a way that a standing wave with wavelength 0.820 m forms. What harmonic is the string vibrating at?
Answer:
1. A string of length 1.23 m vibrates in such a way that a standing wave with wavelength 0.820 m forms. What harmonic is the string vibrating at?
gravitational potential energy when potential energy0.25 kg ball is suspended from a light spring.find gravitaional potential energy.g
The gravitational potential energy of a 0.25 kg ball suspended from a light spring is 0.6125 J.
Calculate the gravitational potential energy below.
The gravitational potential energy formula is as follows:
GPE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object from a reference point.
Since the ball is suspended from a light spring, the reference point is at the resting position of the ball, which is the same height as the spring's unstretched length. As a result, h is the length of the stretched spring.
Assume the stretched length of the light spring is 0.25 m, and the acceleration due to gravity is [tex]9.8 m/s^2[/tex].
GPE = mgh
= 0.25 × 9.8 × 0.25
= 0.6125 J
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What causes an object to become electrically charged?
An object becomes electrically charged when there is a transfer of electrons between two objects. Electrons are negatively charged particles that orbit the nucleus of an atom. When two objects come into contact with each other, some electrons may move from one object to the other. The object that loses electrons becomes positively charged, while the object that gains electrons becomes negatively charged.
This transfer of electrons can also occur without direct contact between the objects. For example, if a charged object is brought close to a neutral object, the electrons in the neutral object may be attracted or repelled by the charged object. This can cause the electrons in the neutral object to move around, resulting in a separation of charges and the object becoming charged.
Another way an object can become charged is through the process of induction. If a charged object is brought near a neutral object, it can induce a separation of charges in the neutral object. This happens because the charged object creates an electric field that attracts or repels electrons in the neutral object. The result is a separation of charges, with one part of the object becoming positively charged and the other part becoming negatively charged.
c. what will be the charges of the spheres in fractions of after connection? how does the total charge of the two spheres after the connection compare to the initial charge of the left sphere?
The charges of the spheres after connection will be the same as the charge of the left sphere. The total charge of the two spheres after connection is equal to the initial charge of the left sphere.
To understand this, it is important to know that electric charge is a conserved quantity. This means that the net charge of a system cannot change. Therefore, if two objects with opposite charges (like the two spheres) are connected, the charges of the two objects will become equal and the total charge of the two spheres will remain the same as the initial charge of the left sphere.
To further understand this concept, consider two spheres with opposite charges. If the two spheres are not connected, then the total charge of the two spheres is equal to the sum of the charges of each sphere. However, if the two spheres are connected, the net charge of the system cannot change. Therefore, the charge of each sphere will become equal and the total charge of the two spheres after the connection will remain the same as the initial charge of the left sphere.
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Please help. Due at Midnight!
The magnitude and direction of the net force on the center charge is 3.929 x 10⁻⁴ N.
What is unit of charge?The unit of charge is the Coulomb (C). It is named after French physicist Charles-Augustin de Coulomb and is defined as the amount of electric charge that flows through a circuit when a current of one ampere flows for one second. One Coulomb is also equivalent to the charge on approximately 6.24 x 10¹⁸ electrons. The Coulomb is one of the seven base SI units (International System of Units) and is used to measure electric charge in physics and engineering.
So, the magnitude of the net force on the center charge is 3.929 x 10⁻⁴ N. Since F12 is directed towards the left, and F23 is directed towards the right, the net force is also directed towards the left. Therefore, the direction of the net force on the center charge is to the left.
According to Coulomb's law to calculate the force exerted by each of the other charges on the center charge, and then add them vectorially.
Let's call the left charge Q1, the center charge Q2, and the right charge Q3.
The force exerted on Q2 by Q1 is given by:
F₁₂ = k * |Q1| * |Q2| / r₁₂²
where k is Coulomb's constant, |Q1| and |Q2| are the magnitudes of the charges, and r₁₂ is the distance between them. Since Q1 is positive and Q2 is negative, the force F₁₂ is attractive and directed towards Q1. Because the distance between them is 2m, we can say:
F₁₂ = 9 x 10⁹ Nm²/C² * |52 x 10⁻⁶ C| * |3.10 x 10⁻⁶ C| / (2m)²
= 3.468 x 10⁻⁴ N (attractive)
The force exerted on Q2 by Q3 is given by:
F₂₃ = k * |Q2| * |Q3| / r₂₃²
where |Q3| is positive, and |Q2| is negative, so the force F23 is repulsive and directed away from Q3. The distance between them is also 2m, so:
F₂₃ = 9 x 10⁹ Nm²/C² * |3.10 x 10⁻⁶ C| * |68 x 10⁻⁶ C| / (2m)²
= 5.383 x 10⁻⁵ N (repulsive)
To find the net force on Q2, we need to add these two forces vectorially. Since they act along the same line, we can simply subtract their magnitudes:
Fnet = |F₁₂| - |F₂₃|
= 3.468 x 10⁻⁴ N - 5.383 x 10⁻⁵N
= 3.929 x 10⁻⁴ N.
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(1) a father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. the father speeds up by 1.7 m/s and then has the same kinetic energy as the son. what are the original speeds of (a) the father and (b) the son?
The original speeds of the father and the son are 1.9 m/s and 5.374 m/s.
Mass of the son = m1
Mass of the father = m2
The son has 1/2 the mass of the father.
m_2 = 2m_1
Original speed of the son = V1
Original speed of the father = V2
Initial kinetic energy of the son = E_1 = m_1[tex]V_1^2[/tex]/2
Initial kinetic energy of the father = E_2 = m_2[tex]V_2^2[/tex] /2
The father has 1/4 the kinetic energy of the son.
E_1 = 4E_2
m_1[tex]V_1^2[/tex]/2 = 4(m_2[tex]V_2^2[/tex] /2)
m_1[tex]V_1^2[/tex]/2 = 2m_2[tex]V_2^2[/tex]
New speed of the father = V_3 = V_2 + 1.9
New kinetic energy of the father = E_3 = m_2 [tex]V_3^2[/tex]/2
The new kinetic energy of the father is equal to the kinetic energy of the son.
E_1 = E_3
m1[tex]V_1^2[/tex]/2 = m2 [tex]V_3^2[/tex]/2
2m2[tex]V_2^2[/tex] = m2 [tex]V_3^2[/tex]/2
4[tex]V_2^2[/tex] = [tex]V_3^2[/tex]
2[tex]V_2[/tex] = [tex]V_3[/tex]
2[tex]V_2[/tex] = [tex]V_2[/tex] + 1.9
[tex]V_2[/tex] = 1.9 m/s
m_1[tex]V_1^2[/tex]/2 = 2m2[tex]V_2^2[/tex]
m_1[tex]V_1^2[/tex]/2 = 2(2m1)(1.9)2
V_1 = 5.374 m/s
a) Original speed of the father = 1.9 m/s
b) Original speed of the son = 5.374 m/s
Speed refers to the rate at which something moves or operates. It can be described as the distance traveled by an object over a certain period of time, or the number of events or operations that occur within a given time frame. Speed is a fundamental concept in physics and is often measured in units such as meters per second, miles per hour, or revolutions per minute.
In everyday life, speed is important in a variety of contexts. For example, the speed of a vehicle can affect its safety and efficiency. The speed at which a computer operates can impact its performance. The speed of communication, such as the transfer of data or the sending of messages, can impact the effectiveness of communication.
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Complete Question: -
A father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. The father speeds up by 1.9 m/s and then has the same kinetic energy as the son. What are the original speeds of (a) the father and (b) the son?
pry on the power steering reservoir to adjust the tension of the power steering belt. true or false?
The statement "pry on the power steering reservoir to adjust the tension of the power steering belt" is: false.
The tension of the power steering belt is adjusted by adjusting the position of the power steering pump. There is a tension adjustment bolt on the power steering pump that is used to adjust the tension of the power steering belt. The adjustment bolt should be turned clockwise or counterclockwise to adjust the tension of the belt.
A belt tension gauge may be used to ensure that the belt is properly tensioned. A pry bar should not be used on the power steering reservoir to adjust the tension of the power steering belt. This could cause damage to the reservoir or other components of the power steering system. The reservoir should be inspected for damage or leaks, but it should not be used to adjust the tension of the belt.
In summary, the tension of the power steering belt should be adjusted by adjusting the position of the power steering pump, not by prying on the power steering reservoir.
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x < If a heater is used for 2 hours and an electric motor for 4 hours, they consume 25 kJ of energy. If the heater is used for 3 hours and the electric motor for 2 hours, they consume 18 kJ of energy. Calculate the energy consumption per hour of the heater and of the electric motor
The energy consumption per hour of the heater is 9 kJ/hour and the energy consumption per hour of the electric motor is 3 kJ/hour.
What is the energy consumption rate?Let's denote the energy consumption per hour of the heater as "h" and the energy consumption per hour of the electric motor as "m".
From the first piece of information, we can set up the equation:
2h + 4m = 25 (equation 1)
Similarly, from the second piece of information, we can set up another equation:
3h + 2m = 18 (equation 2)
We now have two equations with two unknowns, which we can solve using algebraic methods. Multiplying equation 2 by 2 and subtracting it from equation 1 multiplied by 3, we get:
(3h + 6m) - 2(3h + 2m) = 25(3) - 18(2)
Simplifying this expression, we get:
h = 9
Substituting this value of h into equation 2, we get:
3(9) + 2m = 18
Simplifying this expression, we get:
m = 3
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calculate the speed of the second ship with respect to earth if it is fired in the same direction the first spaceship is already moving.
The speed of the second ship is fired in the same direction as the first ship, and the relative velocity of the second ship with respect to the first ship is zero.
To calculate the speed of the second ship with respect to Earth if it is fired in the same direction as the first spaceship is already moving, the formula of relative velocity is used.
The relative velocity formula is V₂ = V₁ + V, where V₂ is the velocity of the second ship, V₁ is the velocity of the first ship, and V is the velocity of the second ship relative to the first ship.
Since the second ship is fired in the same direction as the first ship, the relative velocity is just the difference between the two velocities. The velocity of the first ship is not given, so the answer will be given in terms of relative velocity only.
The speed of the second ship with respect to Earth is the velocity of the second ship plus the velocity of the first ship relative to Earth.
The speed of the second ship with respect to Earth is just the speed of the first ship plus the speed of the second ship.
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suppose we see the spectral lines to a distant star doppler shifted to smaller wavelengths. what does this tell us about the star's motion?
Suppose we see the spectral lines to a distant star doppler shifted to smaller wavelengths. This tells us that the star is moving toward the observer.
The Doppler effect, also known as the Doppler shift, is a phenomenon in which waves, such as sound or light waves, shift in frequency when their source and observer are moving relative to one another. As a result, the wavelength appears to be altered when the source of the waves approaches or recedes from the observer.
In this situation, if we see the spectral lines to a distant star Doppler shifted to smaller wavelengths, it suggests that the star is moving towards the observer. It is caused by the Doppler effect, which alters the frequency of light when its source is moving relative to the observer.
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discuss how errors due to earth curvature and refraction can be eliminated from the differential leveling process.
Errors due to earth curvature and refraction can be eliminated from the differential leveling process by using the trigonometric leveling method.
This method utilizes the principle of triangles to determine the height difference between two points on the Earth's surface.
The trigonometric method begins by measuring the horizontal angle between two points, then the vertical angle between the same two points, and finally the distance between the points.
The trigonometric method is not affected by the curvature of the Earth or refraction since the vertical angle is measured at a given distance instead of the line of sight.
Therefore, the measurements of the angles and distances remain unaffected.
The trigonometric leveling process is as follows: first, an instrument is set up at point A. A second instrument is then set up at point B, and both instruments are leveled.
The horizontal angle between the two points is then measured with a theodolite, followed by the vertical angle. Lastly, the distance between the two points is measured using a tape measure.
After all the measurements are taken, the results are then used in a trigonometric formula to calculate the difference in elevation between the two points.
This method eliminates errors due to refraction or the Earth's curvature, since the elevation difference is not determined by the line of sight, but rather by the measured angles and distance.
The trigonometric leveling method is the best method to eliminate errors due to the Earth's curvature and refraction from the differential leveling process.
This method uses trigonometric principles and measurements to accurately calculate the difference in elevation between two points.
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what happens to the energy waves as they pass through the valley and reach the mountain? what type of material do you expect to find in valleys
When energy waves pass through the valley and reach the mountain, the waves will be reflected back, the material that you can expect to find in valleys are generally soil and rock formations.
The Energy waves are also formed by
Energy waves passing through valleys and reaching mountains undergo diffraction, causing them to curve and spread outwards.Valleys are formed by erosion and typically consist of dense materials like rocks, soil, and water, which can scatter, reflect or absorb the passing waves.The behavior of waves passing through valleys and mountains depends on various factors like wave type, angle of incidence, and material propertiesTo learn more about the energy waves :https://brainly.com/question/19036728
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uppose you hit a 0.058- kg tennis ball so that the ball then moves with an acceleration of 10 m/s2 . if you were to hit a basketball of mass 0.58 kg with the same force, what would the acceleration a of the basketball be? express your answer in meters per second squared.
The acceleration of the basketball would be the same as the tennis ball, 10 m/s2. This is because in this scenario, the acceleration of the two objects is determined by the same force, and not the mass of the object.
Acceleration is the rate of change of an object's velocity given by the equation a = F/m, where F is the force applied, and m is the mass of the object. Since the force is the same in both cases, the acceleration of the two objects must also be the same. This means that the basketball, which has a mass of 0.58 kg, will still accelerate at 10 m/s2.
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a 170-hz sound travels through pure helium. the wavelength of the sound is measured to be 5.92 m. what is the speed of sound in helium?
The speed of sound in pure helium is approximately 1006.4 m/s.
When a sound wave travels through a medium, it produces a series of compressions and rarefactions in the medium, which causes the particles of the medium to vibrate. The speed of sound in a particular medium depends on the physical properties of the medium, such as its density, elasticity, and temperature.
The speed of sound in helium can be calculated using the formula,
speed of sound = frequency x wavelength
Given that the frequency of the sound is 170 Hz and the wavelength is 5.92 m, we can plug in these values and get,
speed of sound = 170 Hz x 5.92 m
speed of sound = 1006.4 m/s
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suppose you take off in a car with your physics book on top. if you are accelerating forward and the book rides with you, in what direction does friction act on the book
When you takes off in a car with a physics book on top, if the person is accelerating forward and the book rides with you, then friction will act on the book in the opposite direction to the motion of the book, this means that the direction of friction acting on the book will be in the backward direction.
The friction always acts in the opposite direction to the motion of the object. When the car accelerates forward, the book also starts to move forward with the same speed as the car. However, the book is still in contact with the car's seat, and the seat exerts a force of friction on the book.
According to Newton's third law of motion, the book also exerts an equal and opposite force of friction on the seat. Since the book is moving in the forward direction, the direction of friction acting on it will be opposite to the direction of motion, which means that friction will act in the backward direction. Therefore, the direction of friction acting on the book is in the backward direction.
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