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A 0.200 kg block is placed on a light vertical spring (k=4.00x10^3 N/m) and push

ID: 1777331 • Letter: A

Question

A 0.200 kg block is placed on a light vertical spring (k=4.00x10^3 N/m) and pushed downward, compressing the spring 0.100 m. After the block is released, it leaves the spring and continues to travel upwards. What maximum height above the point of Release (above the starting point where the spring is compressed) will the block reach if air resistance is negligible? Use the starting point where the spring is compressed, as the zero point for gravitational potential energy. A 0.200 kg block is placed on a light vertical spring (k=4.00x10^3 N/m) and pushed downward, compressing the spring 0.100 m. After the block is released, it leaves the spring and continues to travel upwards. What maximum height above the point of Release (above the starting point where the spring is compressed) will the block reach if air resistance is negligible? Use the starting point where the spring is compressed, as the zero point for gravitational potential energy.

Explanation / Answer

Applying work - energy theorem,

Net work done = change in KE

Work done by spring + Work done by gravity = Kf - Ki

(4000)(0.10^2) / 2 + (0.20 x 9.8 x h) = 0 - 0

h = 10.2 m