A 18kg box slides 4.0 m down the frictionless ramp shown in the figure(Figure 1)

Question

A 18kg box slides 4.0 m down the frictionless ramp shown in the figure(Figure 1) , then collides with a spring whose spring constant is 170N/m. A. What is the maximum compression of the spring? B. At what compression of the spring does the box have its maximum speed?

A 18kg box slides 4.0 m down the frictionless ramp shown in the figure(Figure 1) , then collides with a spring whose spring constant is 170N/m. A. What is the maximum compression of the spring? B. At what compression of the spring does the box have its maximum speed?

Explanation / Answer

Let s be the compression of the spring

mg ( 4 + s) sin 30 = 0.5 k s

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