A block with a mass of 3.1 kg is dropped from rest towards a spring with a sprin

Question

A block with a mass of 3.1 kg is dropped from rest towards a spring with a spring constant of 400. N/m as shown below. Assume that air resistance is negligible.

Note: the spring is not compressed in A or B and the block is moving down in B at a faster speed than in C. In addition, h = 0 has been set to be at the ground (as shown on the worksheet).

How much work does the spring do on the system from B to C?

What is the total energy of the system at point C?

What is the speed of the block at point C?

Explanation / Answer

work=(1/2)kx^2=200*(0.5)^2=50 J/s

total energy=50J

mv^2/2=50

3.1*v^2=100

v=5.68m/s

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