A 2.00kg block is pushed against a spring with negligible mass and force constan

Question

A 2.00kg block is pushed against a spring with negligible mass and force constant k = 400 N/m
,compressing it 0.220m.  When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0

A 2.00kg block is pushed against a spring with negligible mass and force constant k = 400 N/m ,compressing it 0.220m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0 What is the speed of the block as it slides along the horizontal surface after having left the spring? How far does the block travel up the incline before starting to slide back down?

Explanation / Answer

0.5kx^2 = 0.5mv^2

so v^2 = 400*0.22*0.22/2

so v = 3.11 m/s

0.5mv^2 = mgh

so h = 0.5*v^2/g = 0.4939 m

so distance travelled = 0.4939/sin37 = 0.82m

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