A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from the ceiling at an angle of 50.00 to the vertical. When the pendulum ball is released from the rest position. it swings to the very bottom of the motion where it collides head-on with a 1. 40-kg block that is initially at rest on a level surface. If the pendulum ball recolls at 1.50 m/s. what is the speed of the block after the collision? 6= 50° 1.2 m 2.0 kg 1,4 kg a. 5.98 m/s b. 3.88 m/s c. 6.29 m/s d. 4.76 m's e. 3.03 m/s

A 0.20-kg mass is attached to a string and then released from rest, swinging in an arc as a pendulum. At the bottom of it swing, where it is 0.80 m above the floor, the string is cut and the mass becomes a projectile. It stricks the floor 0.56 meters (horizontally) from the point it was cut. From what height was the mass originally released?

A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m away from equilibrium and it is held at rest. A 5 kg mass is attached at the end of the spring. The spring-mass system is released from rest. Calculate the velocity of the mass when it is halfway back to its equilibrium position (0.2 m away).

A 0.430 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 26.0 N/m force constant that is at its equilibrium length. A 0.0600 kg wad of Play-Doh is thrown horizontally at the block with a speed of 2.60 m/s and sticks to it. Determine the amount in centimeters by which the Play-Doh-block system compresses the spring.

Example 13-12 depicts the following secnario. A 0.990kg block slides on a frictionless, horizontal surface with a speed of 1.38 m/s. The block encounters an unstretched spring with a force constant of 218 N/m, as shown in the sketch. Before the block comes to rest, the spring is compressed by 9.30 cm .

A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°.  a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?  b)  After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?  c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?

A 0.150kg bullet is initially at rest 1.50m above the earth in a rifle which is aimed horizontally to the right. The rifle launch mechanism is a spring with a spring constant k=150.0N/m. The spring is initially compressed 0.150m from its equilibrium position with the bullet resting on the spring. The rifle barrel length is 1.35m from the spring equilibrium position. Using the isolated system model, what is the total energy of the bullet while at rest in the rifle chamber?

A 15 g bullet strikes and embeds in a 2.6 kg block suspended at the end of a 1.3 m string. After the collision the string rises to a maximum angle of 20 degrees to the vertical. Find:a) the speed of the bullet: m/sb) the percentage loss in kinetic energy due to the collision: %

A simple pendulum, consisting of a mass of 8.691 kg, is attached to the end of a 3.23 m length of string. If the mass is held out horizontally, and then released from rest, the speed of the mass (in m/s) at the bottom of the swing is:

A spring with spring constant 20 N/m is compressed a distance of 5.5 cm by a ball with a mass of 208.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 5.5 cm and is also released, leaving the spring at point A. Each object travels up the incline shown in the figure before coming to rest momentarily. Assume the ball rolls, but ignore other effects of friction. (Assume the ball rolls without slipping up the incline until it comes to rest.)   (a) How high above the starting position is the ball when it comes to rest momentarily? m (b) How high above the starting position is the block when it comes to rest momentarily? m