EASY
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Total energy of an isolated system-

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Important Questions on Work, Energy and Power

MEDIUM

The total energy of an object falling freely towards the ground _____.

(Choose from: decreases, remains unchanged, increases, increases in the beginning and then decreases)

EASY
A U-tube of cross section A and 2A as shown contains liquid of density d. Initially, the liquid in the two arms are held with a level difference h. After being released the levels equalize after some time. The work done by gravity forces on the liquid in the process is -


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EASY
A particle is released from a height h. At a certain height, its kinetic energy is two times its potential energy. Height and speed of the particle at that instant are
EASY
A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of
MEDIUM
U-shaped smooth wire has a semi-circular bend of radius R between A and B. It is held fixed in a vertical plane. A bead of mass m is released from height h (above A) and slides smoothly along the wire to reach the same height on other side of the wire. It is given that hR.
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Consider the motion of the bead between A and the lowest point C of the wire. The ratio of change in magnitude of velocity of the particle at A to the magnitude of change in its velocity at C is nearly equal to
EASY
An object is dropped from a certain distance when she is at half distance she is ______ in it?
EASY
A ball is thrown vertically up with a velocity 20 ms. At what height will its kinetic energy be half its original value?
HARD

Prove that the kinetic energy of a freely falling object on reaching the ground is nothing but the transformation of its initial potential energy.

HARD
Two inclined frictionless tracks, one gradual and the other steep meet at A, from where two stones are allowed to slide down from rest, one on each track (Figure). Will the stones reach the bottom at the same time? Will they reach there with the same speed? Explain. Given θ1=30°, θ2=60°, and h=10 m, what are the speeds and times taken by the two stones?
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EASY
From where the kinetic energy of the falling rain drop come?
HARD
Show that the sum of the kinetic energy and potential energy of a freely falling body is conserved?
EASY
Are kinetic and potential energies interconvertible?
EASY

State if the given statement is true or false. Give reasons for your answer.

Total energy of a system is always conserved, no matter what internal and external forces on the body are present.

MEDIUM
Draw a diagram to show conservation of mechanical energy in case of a free-falling body.
EASY
What happens if a body falls towards the earth?