A 5.80-kg block is set into motion up an inclined plane with an initial speed of v; = 7.40 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 8 = 30.0° to the horizontal. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). (d) What is the coefficient of kinetic friction?

A 5.80-kg block is set into motion up an inclined plane with an initial speed of v₁ = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = to the horizontal. V. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

A crate is given a push across a horizontal surface. The crate has a mass m, the push gives it an initial speed of 3.60 m/s, and the coefficient of kinetic friction between the crate and the surface is 0.130. (a) Use energy considerations to find the distance (in m) the crate moves before it stops.   ____m   (b) What If? Determine the stopping distance (in m) for the crate if its initial speed is doubled to 7.20m/s.   ____m

Tarzan swings on a 40.0-m-long vine initially inclined at an angle of 39.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s (b) What is his speed at the bottom of the swing if he pushes off with a speed of 5.00 m/s? m/s