Question

A linear elastic spring can be compressed 10. 0 cm by an applied force of 5. 0 N. A 4. 5
kg crate of apples, moving horizontally at 2. 0 m/s collides with the spring. What will be
the maximum compression of the spring?

Answer 1

The maximum compression of the spring is 0.6 m.

Spring constant

The spring constant of the spring is calculated as follows;

F = kx

k = F/x

k = (5)/(0.1)

k = 50 N/m

Maximum compression of the spring

The maximum compression of the spring is calculated as follows;

U = K.E

¹/₂kx²  = ¹/₂mv²

x² = (mv²)/(k)

x = √(mv²)/(k)

x = √(4.5 x 2²)/(50)

x = 0.6 m

Thus, the maximum compression of the spring is 0.6 m.

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