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Revision Quiz | Work, Energy and Power

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Question 1

The scientists discovered an asteroid having a radius of about 3.5 km and a mass of about 1.2 X 1015 kg. If it is assumed that it is a perfectly uniform sphere what is the escape velocity for an object of mass on the surface of that asteroid?

Question 2

A particle falls from rest under gravity. Its potential energy with respect to ground (PE) and its kinetic energy (KE) are plotted against time (t). Choose correct graph-

Question 3

A ball loses 15% of its kinetic energy when it bounces back from a concrete floor. When it is thrown vertically downward with a speed v0 from a certain height h, it bounces back to the same height. Then, if we neglect air resistance, the speed v0 should be –

Question 4

A body of mass m is released from rest at the top of a frictionless slide which is 9 m above the bottom. At the bottom of slide, the body’s speed is

Question 5

A bomb of mass 9 kg explodes into two fragments of masses 3 kg and 6 kg. The velocity of mass 3 kg is 16m/s. The energy of explosion in mechanical form is equal to

Question 6

A box is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

Question 7

A constant power P is applied to a car starting from rest. Then if in time t the car travels a distance x, its kinetic energy will be proportional to -

Question 8

As shown in the figure there is a curved track terminating in smooth horizontal surface. A box of 20 g if released from the height of 5 m on the curved track, what will be the maximum compression in the spring if its spring constant is 400 N/m.

Question 9

In a Yo-Yo toy, a spring of spring constant 0.2 N/m is used instead of a string and the mass of the base is 0.4 Kg. This toy is made to oscillate on a smooth horizontal table after one end of the spring is fixed to a wall. How far will the base move on the table before coming to an instantaneous rest, if it has speed of 1 m/s when the spring is at its natural length?

Question 10

The displacement x of a body of mass 1kg on horizontal smooth surface as a function of time t is given by x = t4/4. The work done in the first one second is–

Question 11

If a man increases his speed by 2 m/sec, his K.E. is doubled. The original speed of the man is -

Question 12

A mass of 1 kg is acted upon by a single force N. Due to force, mass is displaced from (0, 0) to (1m, 1m). If initially the speed of the particle was 2 m/s, its final speed should approximately be -

Question 13

A uniform chain of length L and mass M is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is-

Question 14

Calculate the work done in raising a stone of mass 5 Kg and specific gravity 3, lying at the bed of a lake through a height of 5 meters.

Question 15

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a is varying with the time t as, where k is a constant. The power delivered to the particle by the force acting on it is
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Nov 19JEE & BITSAT