1. When the velocity of a moving object is doubled with no change in mass, a. By what factor does its momentum change? b. By what factor is its kinetic energy changed?

a. Momentum is the product of mass and velocity. If the velocity of an object is doubled and the mass remains unchanged, the momentum will also double. Therefore, the factor by which the momentum changes is 2.<br /><br />b. Kinetic energy is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity. If the velocity is doubled, the kinetic energy will increase by a factor of 4. This is because the velocity is squared in the formula, so doubling the velocity results in a fourfold increase in kinetic energy.