A person is pushing, with a force of 2,168.7 N, a 294.5 kg couch up a ramp that is inclined at an angle of 11.6 deg. from the horizontal. If the coefficient of kinetic friction is 0.2, then what is the couch's acceleration?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
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A person is pushing, with a force of 2,168.7 N, a 294.5 kg couch up a ramp that is inclined at an angle of 11.6 deg. from the horizontal. If the coefficient of kinetic friction is 0.2, then what is the couch's acceleration?

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Step 1

Consider F as the force with which the person is pushing the couch, W=mg as the weight of the couch, N as the normal force and f as the friction force. Draw the free body diagram for the forces acting on the couch.

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