# Speed and Spring Constant

1. You are swinging a tin can around your head in a perfectly horizontal circle of radius 4 m. (This is really not possible but we're saying it almost happens.) If the speed of the can is 4 m/s what is its acceleration?

2. You thoughtfully set a 1 kg box on top of a loaf of bread and the loaf compresses by 15 cm. Thinking of the bread as a spring, what is its spring constant?

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#### Solution Summary

This solution helps with questions involving speed and spring constants.

Maximum Speed of Mass, Potential Energy & Spring Constant

The position of a 0.500 kg spring as a function of time is given as x(t) = (1.25 m)cos(6.00 t).

What is the maximum speed of the mass? (7.5 m/s)

What is the spring constant for this spring? (18 N/m)

What is the maximum potential energy of this spring? (14 J)

The answers given are in parenthesis. I'm just stuck. Thank you!

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