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Block A is hanging from a vertical spring and is at rest. Block B strikes block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is

Block A is hanging from a vertical spring and is at rest. Block B strikes block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
assuming masses same,
0.5mv^2 = 0.5(m+m)v’^2 + 0.5kx^2...............(1)
and
to gain nautral length again,
mgx = 0.5(m+m)v’^2..................(2)
solving both eqns. we get,
v = sq.root(6mg²/k) m/s

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