17. A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on a smooth surface frictionless surface. The block slides toward a horizontal spring, (k= 99.0 N/m). A maximum compression of 1.50 cm is observed. What is the mass of the block of wood? Draw a small diagram of the situation.[10]

In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). Determine the velocity of each cart after the collision. Determine the maximum compression of the spring.

Help PlZZ The Dread Pirate Roberts is trying to fire a 12 kg cannon ball from a 250 kg cannon. In order to prevent the cannon from recoiling across the deck of the ship, he attaches a large spring behind the cannon, with the spring’s other end braced firmly against the ship’s frame. When the cannon is fired, the ball is launched forward at 90 kilometers per hour. Subsequently, the cannon pushes backwards and compresses the spring by 60 cm. What is the spring constant k of the spring?

A 1.72 kg block of soft wood is suspended by two strings from the ceiling. The wood is free to rotatein pendulum-like fashion when a force is exerted upon it. An 8.5 g bullet is fired into the wood. Thebullet enters the wood at 431 m/s and exits the opposite side shortly thereafter. If the wood rises to aheight of 13.8 cm after the collision, then what is the exit speed of the bullet?

A mass of 700 kg moving at a speed of 36 km/h collides with a horizontally mounted spring of spring constant 6.26*10^3 N/m, what is the maximum compression (meters) of the spring?

5. A 250 grams ball is fired from a spring gun into a 12 kg block of a ballistic pendulum. The block is displaced so that its center of gravity is raised6.0 cm. (a) Find the speed of the ball as it left the gun> (b) Find the loss in kinetic energy during the collision.

A 1.2 kg glider moving at 3.0 m/s [right] undergoes an elastic head-on collision with a glider of equal mass moving at 3.0 m/s [left]. The collision is cushioned by a spring whose spring constant, k, is 6.0 x 104 N/m. Determine the compression in the spring when the second glider is moving left at 1.6 m/s.

19. A 2.4-kg dynamics cart with a linear elastic spring attached to its front end is moving at 1.5 m/s [W] when it collides head-on with a stationary 3.6-kg cart. (a) Calculate the total energy of the system before the collision. (b) What is the velocity of each cart at minimum separation? (c) Calculate the change in total kinetic energy of the system at minimum separation. (d) If the maximum compression of the spring during the collision is 12 cm, what is its force constant?

#6. A 1.0 kg steel ball and a 2.0 m cord of negligible mass make u simple pendulum that can pivot without friction about the point O, as in Figure 3. This pendulum is released from rest in a horizontal position, and when the ball is at its lowest point it strikes a 1.0 kg block sitting at rest on a shelf. Assume that the collision is perfectly elastic and that the coefficient of kinetic friction between the block and shelf is 0.10. (A) What is the velocity of the block just after impact? (B) How far foes the bock slide before coming to rest (assuming that the shelf is long enough)? 1.0 kg 2.0 m kg 0

An 11,000-kg freight car rests against a spring bumper at the endof a railroad track. The spring has constant k = 0.32 MN/m. Thecar is hit by a second car of 9400-kg mass moving at 8.5 m/s, andthe two couple together. Find (a) the maximum compression ofthe spring and (b) the speed of the two cars when they reboundtogether from the spring.