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Q.

A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2 m, then its speed when it crosses x = 5 m is

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a

zero

b

1 ms-1

c

2 ms-1

d

3 ms-1

answer is C.

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Detailed Solution

Let at  x = 2 m, U  = U2 and P.E at X = 5 m  U1 = 210-U22-1 = 10-03.5-1 ⇒U2 = 6 J(KE + PE)x = 2m = (KE + PE)x = 5m⇒0+6 = 12(2)v2+2 ⇒ v = 2 m/s
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A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2 m, then its speed when it crosses x = 5 m is