A block of mass m slides down from rest along a smooth hill of height 13 meters as shown.  After travelling for 120 meters on the flat bottom, the block rises up the smooth plateau of height 8 meters.  Find the speed of the block when it reaches the top of the plateau?

Two blocks of masses m = 4 kg and M = 6 kg are connected by a light rope that is swung over a smooth pulley hanging from the roof.   At the initial moment block M is at a height of H = 1 meter from the floor.   Both blocks are released from rest, but block m is initially at an unknown height from the floor.  With what speed will block M strike the floor?

A block is moving on a frictionless floor in the positive x-axis direction with an initial velocity of 12 m/s.  A constant force of 30 N directed along the negative x-axis acts on the block, and at the end of 8 s the block moves with a velocity of 4 m/s in the negative x-direction. Find the mass of the body.

Block A, with mass 11 kg, sits on an incline of 0.46 radians above the horizontal. An attached (massless) string passes through a massless, frictionless pulley at the top of the incline as shown:The coefficient of kinetic friction between block A and the incline is given as 0.4. When the system is released from rest, block B accelerates downward at 2.4 m/s2. What is the mass of block B?Express your answer in kg, to at least one digit after the decimal point.

m The object of mass m = 3 kg is at the bottom of the incline, which is at the angle e = 55° with respect to horizontal. The object has initial speed of vo = 5 m/s and begins slide up the incline. There is a friction between the object and the incline. The coefficient of kinetic friction is uk = 0.25. The object moves up the incline and eventually stops under the influence of friction and its own weight. Find: (a) how high up the incline (in m, relative to its original position) the object slides before stopping (careful here - your answer is the height, i.e. the vertical distance between object's final position and the ground); (b) work in J) done by the kinetic friction when the object moves up the incline (careful with the sign); (c) work in J) done by the normal force when the object moves up the incline; (d) work in J) done by the gravity when the object moves up the incline (careful with the sign); (e) when the object reaches the highest point on the incline it begins to slide back down, find object's speed (in m/s) at the bottom of the incline.

A snowboarder with a mass of 57 kg starts from rest at the top of africtionless slop at a height of45 m. She follows the frictionless path shownin figure. Calculate her speed at the second peak?