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Homework Statement
A mass m slides along a frictionless horizontal surface at speed v initial. It strikes a spring of constant k attached to a rigid wall. After a completely elastic encounter with the spring, the mass heads back in the direction it came from.
(a)In terms of k, m, and v initial, determine how long the mass is in contact with the spring.
(b)In terms of k, m, and v initial, determine the maximum compression of the spring.
Homework Equations
The one thing i don't know is why period = 1/2 ??
The Attempt at a Solution
I know horizontal force will be only the force exert by spring.
I know the algebra below:
f= 1/2π * √(k/m)
Period = P = 1/f ergo
t = P/2
= 1/2* 1/f
= 1/2 * 2π √(m/k)
= π √(m/k)
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