An object of mass m which is hang (by means of a string of negligible mass) at the surface of a reservoir of water placed on the ground. Assuming that the reservoir is of depth D and the object released to fall vertically downward. Derive the equations of motion of the object assuming that the resistance offered by the water is R Newtons. How much time is need to get the object to the bottom of the reservoir? With appropriate choice of parameters, plot the potential energy of the object as a function of time.

Q: A 2500. kg roller coaster filled with kids at an amusement park in Portland begins its run…

A: Initial height = 24 m  Final height = 18 m  Difference in height = 6 m  Radius of loop = 18/2   = 9…

Q: section of that sectio

A: Given section length L = 0.85 m height H = 2.0 m coefficient of kinetic friction μk = 0.40 velocity…

Q: An object of mass m is at rest at the top of a smooth slope of height h and length L. The…

A: Total energy of the system at top point is due to the gravity.  And just before reaching the bottom…

Q: A box of mass m = 2.40 kg slides down a (frictionless) slope with an angle 30.0°. After sliding for…

A: Mass of the box, m=2.40 kg The inclination of the slope, θ= 30° The distance traveled by the box…

Q: Select which of the following statements are True or False. Assume Ne VA particle's kinetic eñergy…

A: 1. A particles Kinetic energy can change without having any net work done it. Answer: False…

Q: 15.0-kg canon is fired vertically upward from the ground, with an initial velocity of 569.0 m/s.…

A:

Q: A hand pushes a 10 kg block along a table from point A to point C as shown in the figure below. The…

A:

Q: Starting from rest, a block of mass m=5.0 kg slides down a frictionless ramp from point A to point…

A:

Q: The relationship between work done by a force resultant and change in particle kinetic energy can be…

A:

Q: 4. Examine the diagram of an air powered car. At what point will the car stop moving?

A: For air powered car, there are two main force acting on the air powered car: 1) friction. 2) Air…

Q: In the figure, a 4.1 kg block slides along a track from one level to a higher level after passing…

A:

Q: You are staying in a hotel on the 4th floor (12 m from the ground) with a balcony overlooking a…

A: The situation can be shown as below,

Q: 2.0-kg block was released from rest at point A. It then moves through point B until it finally stops…

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Q: The final velocity v of an object in feet per second (ft>sec) after it slides down a frictionless…

A: Given, Final velocity is given by  v=64h+v02

Q: what distance from the stopping point did he apply his brakes?

A: Given initial speed u = 480 km/h

Q: Part G What is the period T ? Part H How much time t does the block take to travel from the point…

A: Given Consider a block of mass m on frictionless  horizontal surface attached to a spring with force…

Q: The 40 kg crate is traveling to the right with an initial v0=1.2 m/s, when a person begins to pull…

A: Given, mass of block = 40 kg initial velocity = 1.2 m/s

Q: A 6.0-kg block initially at rest is pulled to the right along a frictionless, horizontal surface by…

A:

Q: Write an expression for the potential energy of a body of mass m placed at a height h above the…

A: Gravitational potential energy at a point is equal to the change in potential energy per unit mass,…

Q: In the figure, a 4.2 kg block slides along a track from one level to a higher level after passing…

A:

Q: A block slides along a track from one level to a higher level, by moving through an intermediate…

A:

Q: When the velocity v of an object is very large, the magnitude of the force due to air resistance is…

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Q: 3. A particle is released from rest from a height h and free-falls. Assuming the air resistance…

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Q: At what initial speed should a box of mass m be thrown parallel to the surface of the inclined plane…

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Q: 235 kg roller coaster is at the top of a hill with a velocity of 5.60 m/s from a height of 100.0 m…

A: According to conservation of energy Total energy of isolated system remains constant.

Q: A mass is an initial speed of v down a ramp inclined at an angle of θ to the horizontal. The…

A: We are given initial speed. We draw free body diagram of the mass. We then  find acceleration of…

Q: A 3 kg block travels along a horizontal surface with a coefficient of kinetic friction of 0.28 at a…

A: Given: A 3 kg block travels along a horizontal surface with a coefficient of kinetic friction of…

Q: A skater starts from rest at the top of a frictionless hill that is inclined at 12⁰ with the…

A: Given : coefficient of friction between snow and skis, μ = 0.125              angle of inclination,…

Q: A stone with a weight of 5.34 N is launched vertically from ground level with an initial speed of…

A:

Q: A 60-kg skier with an initial speed of 10 m/s coasts up a 2.5-m-high rise as shown in the figure.…

A: Given:-  The mass of the skier is m = 60 kg  The initial speed  of the skier is u = 10 m/s  The…

Q: Does the escape speed for an object at the earth’s surface depend on the direction in which it is…

A: The angle of launch of the spacecraft does not effect the escape velocity of the object. Whatever…

Q: Imagine you have a pendulum made of a mass hanging from a spring. Restrict all motion to take place…

A: At rest, length of pendulum l0                 Spring constant = k…

Q: Can you help me with this problem? A block with a mass m is initially compressing a spring by x1 on…

A:

Q: 5.0 kg particle can slide along a track with elevated ends and a flat central part, as shown in…

A: Given, mass of particle is 5.0 Kg Height is 2m and  length of path L =12.0 m

Q: Professor Walo, action figure version, by 3 kg with his trolley is thrown by a plane of inclined 60…

A:

Q: H=0-

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Q: Starting from rest, a 93-kg firefighter slides down a fire pole. The average frictional force…

A: We will first find the acceleration of the firefighter using Newton's second law. We then use…

Q: Sam, whose mass is 80 kg, takes off across level snow on his jet-powered skis. The skis have a…

A: Given: m=80 kg FT = 160 N t1 = 15 sec μ=0.1

Q: It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a…

A:

Q: A 149-g baseball is dropped from a tree 15.0 m above the ground. a) With what speed would it hit…

A: M = 150g = 0.15kg H = 15.0m Initial velocity, u = 0 Acceleration, g = 10m/s2

Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.