We want to slide a 12 kg crate up a 2.5-m-long ramp inclined at 30°. Aworker, ignoring friction, calculates that he can do this by giving it aninitial speed of 5.0 m/s at the bottom and letting it go. But friction isnot negligible; the crate slides only 1.6 m up the ramp, stops, and slidesback down . (a) Find the magnitude of the friction force actingon the crate, assuming that it is constant. (b) How fast is the cratemoving when it reaches the bottom of the ramp?

We want to slide a 12 kg crate up a 2.5-m-long ramp inclined at 30°. Aworker, ignoring friction, calculates that he can do this by giving it aninitial speed of 5.0 m/s at the bottom and letting it go. But friction isnot negligible; the crate slides only 1.6 m up the ramp, stops, and slidesback down . (a) Find the magnitude of the friction force actingon the crate, assuming that it is constant. (b) How fast is the cratemoving when it reaches the bottom of the ramp?

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