A block of mass 2 kg is moving with speed v 0 towards a massless unstreched spring K -10 N - m - It is found that for maximum speed v 0-6-4 m - s the block compresses the spring- stops at that position and does not return back- Friction coefficient at surface is -1- x - Value of x is

x=μ mg/K 1/2mv^2=kx^2/2+ μ mg(1+x) answer: 5 ...

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Standard XII

Physics

Block on a Block Problems

A block of ma...

Question

A block of mass 2 kg is moving with speed $v_{0}$ towards a massless unstreched spring (K=10N/m). It is found that for maximum speed $v_{0} = \sqrt{6.4} m / s$ , the block compresses the spring, stops at that position and does not return back. Friction coefficient at surface is $μ = \frac{1}{x}$ .Value of x is

___

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Solution

$x = \frac{μ m g}{K} \frac{1}{2} m v^{2} = \frac{k x^{2}}{2} + μ m g (1 + x)$
answer: 5

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A block of mass 2 kg is moving with speed v0 towards a massless unstreched spring (K=10N/m). It is found that for maximum speed v0=√6.4m/s, the block compresses the spring, stops at that position and does not return back. Friction coefficient at surface is μ=1x.Value of x is ___

x=μmgK12mv2=kx22+μmg(1+x) answer: 5

$x = \frac{μ m g}{K} \frac{1}{2} m v^{2} = \frac{k x^{2}}{2} + μ m g (1 + x)$
answer: 5