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An equation that is true for every value of the variable is called a:

What is the formula for

The Double-Angle Formula for

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

A cube of wood having an edge dimension of [a] cm and a density of [rho] kg/m3 floats on water. What is the weight of the cube? 1 cm = 10-2 m, 1 cm3 = 10-6 m3. Density of water is 1000 kg/m3. The acceleration due to gravity is g = 9.8 m/s2. Express your answer in N (newtons).

A 0.12-m-radius grinding wheel takes 6.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel’s average angular acceleration?

A cube of wood having an edge dimension of [a] cm and a density of [rho] kg/m3 floats on water. What is the distance from the horizontal top surface of the cube to the water level? 1 cm = 10-2 m, 1 cm3 = 10-6 m3. Water’s density is 1000 kg/m3, and its acceleration due to gravity is g = 9.8 m/s2. Express your answer in cm.

An ideal diatomic gas expands adiabatically from [V1] m3 to [V2] m3. If the initial pressure and temperature are [p1]×105 Pa and [T1] K, respectively, find the work done on the gas. Express your answer in kJ. 1 kJ = 103 J. The universal gas constant is R = 8.314 J/mol.K. The ratio of molar specific heat at constant pressure to that at constant volume (adiabatic index of the gas) for the ideal diatomic gas is