A bin is given a push across a horizontal surface. The bin has a mass m, the push gives it an initial speed of 2.50 m/s, and the coefficient of kinetic friction between the bin and the surface is 0.150. (a)Use energy considerations to find the distance (in m) the bin moves before it stops. (b)What If? Determine the stopping distance (in m) for the bin if its initial speed is doubled to 5.00 m/s.

A 7.80-g bullet moving at 530 m/s penetrates a tree trunk to a depth of 4.50 cm.  (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

A box is given a push across a horizontal surface. The box has a mass m, the push gives it an initial speed of 2.40 m/s, and the coefficient of kinetic friction between the box and the surface is 0.140. (a) Use energy considerations to find the distance (in m) the box moves before it stops. m (b) What If? Determine the stopping distance (in m) for the box if its initial speed is doubled to 4.80 m/s. m

A 7.80-g bullet moving at 470 m/s penetrates a tree trunk to a depth of 6.50 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment in stops moving.

At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6250 J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.

You drop a 1.50 kg book to a friend who stands on the ground at distance D= 12.0 m below. If your friend's outstretched hands are at distance d = 1.30 mabove the ground (see the figure), (a) how much work W, does the gravitational force do on the book as it drops to her hands? (b) What is the change AU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy Uof that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) W, (f)AU. (g) U at the release point, and (h) U at her hands. (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units (g) Number Units (h) Number Units >

A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g.  b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop).  c)What is the child's final speed, vf in m/s?

A 7.80-g bullet moving at 570 m/s penetrates a tree trunk to a depth of 4.40 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.

A center throws a basketball m = 1 kg straight up with an initial speed of vo = 9.5 m's. He releases the ball at shoulder | height ho = 1.9 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height h it reaches, the mass m, and the gravitational acceleration g. E= What is the height, hm in meters? 9 HOME

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