A 2.50-kg block on a horizontal floor is pushed against a horizontal spring that is initially compressed 0.0300 m. The spring has force constant 900 N/m. The coefficient of kinetic friction between the floor and the block is Hr = 0.30. The block and spring are released from rest, and the block slides along the floor. What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? (At a. this point the spring is compressed 0.01 m.) b. What distance does the block travel from its initial position to where the block finally stops? (The block leaves the spring when the spring is unstretched or uncompressed).

= A large spring with spring constant k 550 N/m is oriented vertically on a table. When the spring is at its relaxed length, a book with mass m = 1.3 kg is gently placed on top and released from rest. Through what vertical distance d has the book dropped when the spring reaches its maximum compression? What is the book's speed when it is halfway between its release position and its lowest position?

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.

14. In the figure, a 4.0 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 = 6.0 m/s, the height difference is h = 1.2 m, and uk = 0.40. (1) Find the speed of the block when it just reaches the higher level (2) Find the distance d. μ = 0 -μ*

Blocks 1 and 2, with masses m₁ and m2, are placed on a frictionless, horizontal table with an ideal spring between then. The blocks are moved together, compressing the spring until it stores 87 J of elastic potential energy. When released from rest, the blocks move in opposite directions. Find the maximum speed of block 1 if m₁ = 7.63 kg and m2 = 4.18 kg. m/s V =

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?

In the figure, a block of mass m = 16 kg is released from rest on a frictionless incline of angle 0 = 26°. Below the block is a spring that can be compressed 1.5 cm by a force of 250 N. The block momentarily stops when it compresses the spring by 4.2 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? (a) Number i Units (b) Number i Units