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’.

Question

Infinity Learn · Accepted Answer

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, $$VOG=$$ω$$A2$$−$$x2=900312$$−$$0.52=15$$ $$m/s$$​$$VIG=$$− $$m2VOG=$$−$$14$$×$$15=154=3.75$$ $$m/s$$

Spherical/Curved mirrors

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Spherical/Curved mirrors

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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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