A crate of mass is released from rest at the top of a friction-free ramp that is long…

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A crate of mass 4.0 kg4.0\,\text{kg} is released from rest at the top of a friction-free ramp that is 3.0 m3.0\,\text{m} long and inclined at 25∘25^{\circ} above the horizontal. Air resistance is negligible. (a) Determine the magnitude of the normal force exerted on the crate by the ramp. (b) Calculate the magnitude of the crate’s acceleration as it slides down the ramp. (c) Determine the speed of the crate when it reaches the bottom of the ramp. (d) Suppose instead that the ramp surface has a coefficient of kinetic friction μk=0.10\mu_k = 0.10. Determine the new magnitude of the crate’s acceleration while it slides down the same ramp.

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