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Q.

A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be:

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a

0.15 m

b

0.12 m

c

1.5 m

d

0.5 m

answer is A.

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Detailed Solution

By the law of conservation of energy, i.e., ΔK+ΔU=0 0−12mv2+12kx2−0=012mv2=12kx2⇒ x2=mv2k⇒ x=mv2k⇒ x=0.5×1.5×1.550∴=0.15m

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A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be: