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Q.

A block of mass 3 kg is attached with an ideal spring of spring constant 900 N/m. The other end of the spring is connected with a rigid wall. A fixed convex mirror of radius of curvature 120 cm is placed at a distance 110 cm from the block and the spring is in its natural length. The spring is extended by 100 cm and released. The speed of the image of block is v, when extension in the spring remains 50 cm. Find the value of ‘v’.

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answer is 0003.75.

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Detailed Solution

Distance of block from mirror=110−50=60cm​Mirror Formula, 1f=1v+1u​⇒160=1v+1−60⇒   v=30 m​m=−vu=12​Velocity of object, VOG=ωA2−x2=900312−0.52=15 m/s​VIG=− m2VOG=−14×15=154=3.75 m/s
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A block of mass 3 kg is attached with an ideal spring of spring constant 900 N/m. The other end of the spring is connected with a rigid wall. A fixed convex mirror of radius of curvature 120 cm is placed at a distance 110 cm from the block and the spring is in its natural length. The spring is extended by 100 cm and released. The speed of the image of block is v, when extension in the spring remains 50 cm. Find the value of ‘v’.