A person is straining to lift a large crate, without success…

A person is straining to lift a large crate, without success because it is too heavy. We denote the forces on the crate as follows: P is the upward force the person exerts on the crate, C is the vertical contact force exerted on the crate by the floor, and W is the weight of the crate. How are the magnitudes of these forces related while the person is trying unsuccessfully to lift the crate?Answer and explain in your scratch paper. Answers without explanations will not get credit.

The figure shows two packages that start sliding down a 20°…

The figure shows two packages that start sliding down a 20° ramp from rest a distance along the ramp from the bottom. Package A has a mass of 5.0 kg and a coefficient of kinetic friction 0.20 between it and the ramp. Package B has a mass of 10 kg and a coefficient of kinetic friction 0.15 between it and the ramp. How long does it take package A to reach the bottom?Answer and explain in your scratch paper. Answers without explanations will not get credit. Show all your work.