Question

explain how the mass of a bowling ball that has been rolled down the lane affects the kinetic energy a the kinetic energy does not depend on the mass of the bowling ball b the kinetic energy is increasing proportional to the mass of the bowling ball c the kinetic energy is decreasing proportional to the mass of the bowling ball d the kinetic energy is increasing proportional to the square of the mass of the bowling ball

Explanation:

The formula for kinetic energy (KE) is \( KE = \frac{1}{2}mv^2 \), where \( m \) is mass and \( v \) is velocity. When a bowling ball is rolled down the lane, if we assume velocity \( v \) is constant (or at least the relationship between KE and \( m \) is considered), KE is directly proportional to mass (\( KE \propto m \)) because \( \frac{1}{2}v^2 \) is a constant factor here. Option A is wrong as KE depends on mass. Option C is wrong as KE increases with mass (for constant v). Option D is wrong because KE is proportional to mass (not square of mass, that would be if it were \( m^2 \), but the formula has \( m \) to the first power). So the correct relationship is KE increasing proportionally to mass.

Answer:

B. The kinetic energy is increasing proportional to the mass of the bowling ball