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A steel washer is suspended inside an empty shipping crate from a light string a

ID: 2117207 • Letter: A

Question

A steel washer is suspended inside an empty shipping crate from a light string attached to the top of the crate. The crate slides down a long ramp that is inclined at an angle of 36%u2218 above the horizontal. The crate has mass 237kg . You are sitting inside the crate (with a flashlight); your mass is 50kg . As the crate is sliding down the ramp, you find the washer is at rest with respect to the crate when the string makes an angle of 64%u2218with the top of the crate.

What is the coefficient of kinetic friction between the ramp and the crate?

%u03BCk =_________________________

Explanation / Answer

a = actual acceleration of the crate g = gravity You can see that a / sin(?) = g / sin(?) so a = g sin(?) / sin(?) a = 9.8 sin(10) / sin(126) a = 2.103 m/s

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