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A 2 kg ball moving east with a speed of 3 m/s collides and sticks to another ball of mass 3 kg moving west with a speed of 4 m/s. I already found the velocity of the combined masses just after the collision and it is 1.2 m/s. What is the loss in kinetic energy of the 2 masses due to the...

Two masses 5 kg and 3 kg are separated by a distance of 2 m. Where is the center of mass from the 5 kg mass? The answer is 0.75 m. I need it explained. Thanks in advance.

A 12g bullet is fired into a 3.0 kg ballistic pendulum initially at rest and becomes embedded in it. The pendulum subsequently rises to a vertical height of 12 cm. What was the initial speed of the bullet? The answer is 380 m/s. I need an explanation. Thanks.

A toy gun uses a spring constant to project horizontally a 5.3g soft rubber sphere. The spring constant is 8.0N/m, the barrel of the gun is 15cm, and a constant frictional force of 0.032N exists between barrel and sphere. With what speed does the sphere leave the barrel if the spring was...