In the figure below, a small block is sent through point A with a speed of 9.5 m/s. Its path is without friction until it reaches the section of length L = 12 m, where the coefficient of kinetic friction is 0.70. The indicated heights are h1 = 7.4 m and h2= 2.5 m. (a) What is the speed of the block at point B? m/s (b) What is the speed of the block at point C? m/s D

I place a 10 kg box at the top of a ramp that is inclined at 25 degrees. It then slides 8 m down the incline. If the incline has a coefficient of kinetic friction of 0.3, what is the speed of the block after it has completed its 8 m slide?

2. In the accompanying figure, a tiny cube is pushed and released at point A. It has an initial velocity of 7.23 m/s. The whole course is frictionless except that marked L which is 16.2 m and has a coefficient of kinetic friction of µk = 0.78. Heights hi = 6.00 m and h2 = 2.00 m. (a) What is the speed of the cube at point B? (Hint: you do NOT need its mass) (b) What is the speed of the cube at point C? (c) Does the cube make it to point D? If so, how fast is it going there? If not, what is its distance traveled through region L?

A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant k = 504 Newtons/meters. The spring is stretched until the Potential Energy of the spring is 2.52 Joules. What is the displacement ( in meters) in the spring?

A box with 15 kg of mass slides down an inclined plane that is 1.5 m high and 3.6 m along the inclined plane. Due to friction the box reaches 4.3 m/s at the bottom of the inclined plane. Beyond the inclined plane lies a spring with 600 N/m constant. It is fixed at its right end. The level ground between the incline and the spring has no friction When the box is temporarily stopped by the spring, how much is the spring compressed in m? Hint: start from the bottom of the inclined plane since you know the speed of the box there. Not all values must be used.

A rubber ball, with a mass of 40.0 grams is dropped from rest from a height of 1.20 m above the floor. It hits the floor, and then reaches a maximum height of 80.0 cm when it comes back up again. In this problem, use g = 10.0 m/s2. (a) The collision with the floor causes some mechanical energy to be lost (this energy generally ends up as thermal energy). How much mechanical energy is lost in this case? (b) What is the ball's speed, just as it leaves the floor on its way up? m/s (c) What is the magnitude of the impulse experienced by the ball for the entire time it is in contact with the floor? kg • m/s

In the figure, a 4.2 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 6.3 m/s, the height difference is h = 0.96 m, and Hk = 0.612. Find d. H = 0- Number Units

You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?

Draw a diagram of a 50 kg box sliding down a 6 meter high plane angled 30o to the horizontal. If the coefficient of friction force between the box and the plane is 0.4, what is the speed of the box at the end of the plane?

A particle of mass 2.3 kg moves under the influence of a force: F(x)=(−5x2+7x) N If its speed at x = 3.6 m is v = 25 m/s, what is its speed at x = −3.6 m? v2=___ m/s