JEE Advanced · Physics

Work, energy and power

26 practice questions, each with the answer and an explanation.

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A body of mass $4 kg$ falls freely from rest through a height of $80 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $2 kg$ falls freely from rest through a height of $45 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $4 kg$ falls freely from rest through a height of $45 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $5 kg$ falls freely from rest through a height of $5 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $1 kg$ falls freely from rest through a height of $80 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $2 kg$ falls freely from rest through a height of $5 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $1 kg$ falls freely from rest through a height of $20 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $5 kg$ falls freely from rest through a height of $20 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $1 kg$ falls freely from rest through a height of $5 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $4 kg$ falls freely from rest through a height of $5 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $4 kg$ falls freely from rest through a height of $20 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $5 kg$ falls freely from rest through a height of $80 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $2 kg$ falls freely from rest through a height of $80 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
A body of mass $5 kg$ falls freely from rest through a height of $45 m$ . What is its speed on reaching the ground? (take $g = 10 m/s^{2}$ , answer in m/s)
The potential energy of a particle of mass m moving along the x-axis is given by U(x) = (a / x^2) - (b / x), where a and b are positive constants. What is the equilibrium position of the particle?
A variable force F = (3 x^2 + 2 x) i N acts on a 2 kg body causing it to move from x = 1 m to x = 3 m. What is the total work done by the force?
A block of mass m compressed against a horizontal spring of stiffness k on a frictionless table by distance x0 is released from rest. What is the speed of the block when the spring reaches its natural…
An engine of mass M pumps water continuously through a hose of cross-sectional area A with speed v. What rate of power must the engine deliver to the water?
A ball of mass m moving with speed u makes a head-on elastic collision with an identical ball of mass m initially at rest. What are the velocities of the two balls after the collision?
A pendulum bob of mass m is suspended by a string of length L. What minimum horizontal velocity must be imparted to the bob at its lowest point so that it completes a full vertical circle?
A particle of mass m moves in a circular path of radius r under the action of an attractive central force F = -k / r^2. What is the total mechanical energy of the particle (taking potential energy to…
A chain of mass M and length L is held vertically with its lower end just touching a table. It is released from rest. What is the normal force exerted by the table on the chain when length x has falle…
A body of mass 1 kg is moving under a force which delivers constant power of 1 W. If the body starts from rest at t = 0, what is its velocity at t = 8 s?
A bullet of mass m moving with speed v strikes a stationary wooden block of mass M suspended by a light vertical cord of length L and gets embedded in it. To what maximum vertical height does the bloc…
The force on a particle in 1D is given by F(x) = -k x + c x^3. What is the potential energy function U(x) assuming U(0) = 0?
A particle of mass m is moving in a circular path of radius R. The centripetal acceleration of the particle varies with time t as a_c = k^2 R t^2. What is the power delivered to the particle by the fo…

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