A 5.00 kg block is moving at v0 = 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall. The spring has negligible mass. What is the maximum compression of the spring i.e. how much will the spring compress before the block rebounds?

A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest and the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distance A = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction. a b d k m₁ m₂ cm k m1 my m₂ m₁ m₂ (a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v. What is the speed v (in m/s)? m/s (b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point, what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)

A super ball of mass 0.1 kg is dropped from a height of 3.0 m above the floor. It bounces off the table and rises to a height of 2.6 m. This is an elastic col- lision similar to the carts with springs in your lab. Calculate the velocity of the ball the instant before it reached ground level, v,. a. Hint: You can use conservation of mechanical energy and the height it is dropped from to get this velocity. h;=3m 330.1kg N;=0 %3D +y DIRECTION 3.0 Now use conservation of energy to calculate the velocity the ball must have after the collision at the instant it leaves the ground to reach a height of 2.6 m. Figure 8-21 с. These velocities are the initial and final velocities for the collision with the ground. Use them to calculate the change in momentum of the ball. Don't forget the directions are not the same so one will be +, the other -. b.

Problem #1: The massless spring of a spring gun has a force constant =10N/cm. When the gun is aimed vertically, a 12-g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) a. What distance, d, was the spring compressed initially? b. What speed does the ball have when it is a height of 2.0m above the equilibrium position of the spring? 5.0 m d NNNNNNNN CNNNNNNN