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A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is

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a

10 m/s

b

1030m/s

c

40 m/s

d

20 m/s

answer is C.

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Detailed Solution

Ball starts from the top of a hill which is 100 m high and finally rolls down to a horizontal base which is 20 m above the ground so from the conservation of energy mg (h1−h2)=12mv2⇒v=2g(h1−h2)=2×10×(100−20)=1600=40 m/s

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