A crate is released from rest on a 20 degree incline as shown in the figure below. The pefficient of kinetic friction between the crate and the incline is 0.2. Determine the distance which e crate must travel before it reaches a speed of 4 m/s.

A small boat carrying people with a total weight of 362 Ibs slide down the incline whose dimensions are h=112 ft and d=117 ft. The coefficient of kinetic friction between the boat and the slide is 0.14. Determine the time it takes the boat to go from A to B, use 3 decimals for your answer. The boat starts sliding at A from rest. A d

I Review The 250-kg crate rests on the ground for which the coefficients of static and kinetic friction are ug = 0.5 and uk = 0.4, respectively. The winch delivers a horizontal towing force T to its cable at A which varies as shown in the graph. Originally the tension in the cable is zero. (Figure 1) Part A Determine the speed of the crate when t = 3.9 s. Hint: First determine the force needed to begin moving the crate. Figure Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) T(N) ? 800 T= 400 2 Value Units v = I(s) 4

1. The 40-kg crate is pulled by the constant force P. If the crate starts from rest and achieves a speed of 10 m/s in 9 s, determine the magnitude of P. The coefficient of kinetic friction between the crate and the ground is 0.15. 30°

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2. A block travels past point A with a speed of 8 m/s along a smooth surface until it reaches a rough surface of length L=20 m and a coefficient of kinetic friction of 0.8. If the height h₁ = 8 m, and h₂ = 3 m. Determine (A) the speed of the block at point B (B) whether the speed at point C (C) reaches point D. If so, what is the speed at point D, if not, how far is the rough surface that cross the beam?

The 152 kg block shown starts with a velocity of 3.00 m/s downward from position A and slides down the incline plane to position B. The coefficient of friction between the block and the plane is u = 0.15. What is the velocity of the block at position B? Note: answer to be in meters/second (m/s). 20 m 152 kg H = 0.15 12 A B