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Q.

A smooth curved surface of height 10m is ended horizontally. A spring of force constant 200 Nm-1 is fixed at the horizontal end as shown in figure. When an object of mass 10 g is released from the top, it travels along the curved path and collides with the spring. Then, the maximum compression in the spring is (Take, g=10 ms-2)

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a

10 m

b

0.1 m

c

1 m

d

0.01 m

answer is B.

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Detailed Solution

Let the maximum compression in the spring be x. From law of conservation of energy, mgh=12kx2 10×10-3×10×10=12×200×x2⇒ x2=10×10-3=10-2⇒ x=1100=110m=0.1mThus, compression in the spring is 0.1m.

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A smooth curved surface of height 10m is ended horizontally. A spring of force constant 200 Nm-1 is fixed at the horizontal end as shown in figure. When an object of mass 10 g is released from the top, it travels along the curved path and collides with the spring. Then, the maximum compression in the spring is (Take, g=10 ms-2)