A billiard ball rolling across a table at [v1] m/s makes a head-on elastic collision with an identical ball.Find the speed of the first ball after the collision when the second ball is moving toward the first at a speed of [v2] m/s. Express your answer in m/s.

A [m]-kg particle has a speed of [vA] m/s at point A and a kinetic energy of [KB] J at point B. What is its kinetic energy at A? Express your answer in J.

A [m]-kg particle has a speed of [vA] m/s at point A and a kinetic energy of [KB] J at point B. What is the total work done on the particle as it moves from A to B? Express your answer in J.

A block of mass m=[m] kg is pulled up a 

A billiard ball rolling across a table at [v1] m/s makes a head-on elastic collision with an identical ball.Find the speed of the second ball after the collision when the second ball is initially at rest. Express your answer in m/s.

A m = [m]-g bullet traveling horizontally with a speed of [v]×103 m/s enters an M=[M]-kg door, embedding itself  [d] cm from the side opposite the hinges as in the figure. The [w]-m-wide door is free to swing on its hinges. Find the kinetic of the door-bullet system after the bullet is embedded in the door. 1 g = 10-3 kg, 1 cm = 10-2 m. The door’s moment of inertia in this problem is , where M is the door’s mass and L is the door’s width. Express your answer in J.

The slope of the acceleration vs. time curve represents

n=[n] moles of an argon gas are at a temperature of  [T] K. Calculate the root-mean-square (rms) speed of an atom in the gas. The Boltzmann’s constant is kB = 1.38 ×10-23 J/K. The universal gas constant is R = 8.314 J/(mol.K). The argon’s molar mass is M = 39.95 g/mol = 39.95 ×10-3 kg/mol. Express your answer in m/s.

An adiabatic expansion refers to the fact that

Suppose [Q]×105 J of energy are transferred to [m] kg of ice at 0 oC. The heat of fusion of water is Lf = 3.33 × 105 J/kg. Calculate the energy required to melt all the ice into liquid water. Express your answer in kJ. 1 kJ = 103 J.