A block of mass 1 kg is released from the top of a rough incline having μ = 1 3 . The initial speed of the block is 2 m s - 1 . The inclined plane has unknown length and has a spring of spring constant k = 1 N m - 1 connected at the base as

Question

A block of mass 1 kg is released from the top of a rough incline having μ = 1 3 . The initial speed of the block is 2 m s - 1 . The inclined plane has unknown length and has a spring of spring constant k = 1 N m - 1 connected at the base as in the figure. Find the maximum compression of spring. (answer in meter).

Quantrex Academy · Accepted Answer

Correct answer: 2

ma = mg sin 3 0 o - 1 3 mg cos 6 0 o ⇒ a = 0 by energy conservation w m g + w f r + w s p r i n g = Δ K.E. w m g = – w f r - 1 2 kx 2 = 0 - 1 2 mv 2 ⇒ x = m k v = 2 m

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