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

Question

A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slpe 37.0degree. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? (c) If there is friction between the block and the incline, it travel 0.45 m up the incline. How much work was done by the friction force? 4. A system of two paint buckets connected by a lightweight rope is released from rest with the 12.0-kg bucket 2.00 m above the floor. Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. You can ignore friction and the mass of the pully.

Explanation / Answer

By the conservation of energy we have

energy at top = energy at bottom

Mgh = mgh + 0.5mv^2 + 0.5Mv^2

12*9.8*2 = 4*9.8*2 + 0.5*v^2( 12+4)

v = 4.427 m/s

the speed of the block when it hits the ground is 4.427 m/s

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