A winch, located at M, pulls a box up an incline with a cable. The distance from the box to the winch is s. Suppose that, starting from rest, the box travels the full distances and the tension in the cable is a constant value T. Assume the box has mass m and a sliding coefficient of friction of Mk. What is the speed of the box, UM, when it reaches the winch at point M? Assume the values 8 = 9.81 m/s², T =300 N, k = 0.3, m = 20 kg, 0 = 30 deg, and s=10 m.

1 Problem During a particularly snowy winter in Charlotte, a child of mass m slides down a ramp starting at rest from point A and encounters the melted grassy area at B before coming to a full stop at C. Assume the ice is frictionless. The height of point A is hĄ and the distance between B and C is L. What is the coefficient of friction of the grass, k? Assume that g = 9.81 m/s², ha = 5 m, m = 20 kg, and L = 10 m. hA P JA Ice B Grass L C

Situation 5: Suppose the coefficient of kinetic friction between me and the plane as shown in figure is µ = 0.2 and that m = 20 kg and m² = 20 kg 53. What is the acceleration of Block A 0.605 -0.605 0.303 -0.303 60° 54. What is the tension on the chord? 80.31 N 72.12 N 78.17 N 66.71 N 1.1 m/s 52. What is mass of block B in order to move 1m up in an inclined when the block initially at rest 18.83 kg 20.41 kg 15.61 kg 25.12 kg 30° 55. What is the time required for block B to reach the top assuming it is initially 2.5 m away. 4.06 S 1.07 s 2.87 s 3.24 s

A crate has a mass of 120kg and the coefficient of static and kinetic friction is 0.60 and 0.50, respectively. The crate starts from rest and the motor exerts a tension T= 1220 + 200t (N). If the elevation of the dock is 30 degrees from the horizontal, What is the velocity of the crate after 1sec? Compute the power transmitted after 1sec. Provide FBD. Thank you.