Two  carts undergo a perfect inelastic collision. The mass of the first cart, m1 = 4.639 kg, and the carts initial velocities (before collision) are v1 = 6.943 m/s and v2 = - 2.871 m/s. If the final velocity of the two-cart (after collision) is 5.355 m/s, the mass of the second cart m2 (kg) is

A rocket ship is travelling through space. The fuselage section has a mass of 505 kg. The Nose Cone (front end) section has a mass of 100 kg. The rocket is travelling at 52.0 m/s when the rocket engine stops and the two sections are separated by an explosion in such a way that they stay in a straight line. If the Nose Cone section (front end) continues forward at 98.0 m/s, determine the speed of the Fuselage section after the separation.

As shown in the figure, a wooden ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second wooden ball with mass m₁ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ 0.300 kg.) a my = Before the collision Vi mq b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s "If sin 0 Vof sin o Vif cos Fif Vof Cosp 2f (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AK| K₁ =

A man in a rowboat on a lake. The man's mass is 67 kg, and the rowboat's is 117 kg. The man and rowboat are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.0 m/s. What is the velocity of the rowboat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)   magnitude m/s direction      - toward the right - toward the left - downwards -upwards