A billiard ball rolling across a table at  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 m/s. Express your answer in m/s.

A billiard ball rolling across a table at  m/s makes a head-on elastic collision with an identical ball.Find the velocity of the second ball after the collision when the second ball is moving toward the first at a speed of m/s and the direction of initial velocity of the first ball is in +x-direction. Express your answer in m/s.

A cube of wood having an edge dimension of  cm and a density of 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.

A solar heating system has a 25.0% conversion efficiency; the solar radiation incident on the panels is 800 W/m2. What is the increase in temperature of 25.0 kg of water in a 1.00-h period by a 3.40-m2-area collector? (cw = 4 186 J/kg⋅°C)

An ideal diatomic gas expands adiabatically from  m3 to  m3. If the initial pressure and temperature are ×105 Pa and  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 

An adiabatic expansion refers to the fact that

n= moles of an argon gas are at a temperature of  K. Calculate the kinetic energy per molecule. The Boltzmann’s constant is kB = 1.38 ×10-23 J/K. The argon gas consists of monatomic molecules. Express your answer in zJ (zepto-joule). 1 zJ = 10-21 J.

Suppose ×105 J of energy are transferred to  kg of ice at 0 oC. The heat of fusion of water is Lf = 3.33 × 105 J/kg. How much energy remains to raise the temperature of the liquid water? Express your answer in kJ. 1 kJ = 103 J.

A -g object is attached to a spring and executes simple harmonic motion with a period of  s.If the total energy of the system is  J, find the force constant of the spring. Express your answer in N/m. 1 g = 10-3 kg.

Suppose ×105 J of energy are transferred to  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.