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A rebuilt transmission in a crate sits on the floor; the total mass is 80 kg. The crate must be brought to the top of

A rebuilt transmission in a crate sits on the floor; the total mass is 80 kg. The crate must be brought to the top of a loading dock by sliding it up a ramp 2.5 m long, inclined at 30% The shop foreman, giving no thought to the force of friction, calculates that he can get the crate up the ramp by giving it an initial speed of 5.0 m/s at the bottom and letting go. Unfortunately, friction is not negligible; the crate slides 1.6 m up the ramp, stops, and slides back down. Find the magnitude of the frictional force and the speed of the crate when it reaches the bottom of the ramp.

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