select the correct answer. which statement explains the similarity between momentum and kinetic energy of an…

select the correct answer. which statement explains the similarity between momentum and kinetic energy of an object? a. both are inversely proportional to the mass and velocity of the object. b. both increase as the mass and velocity increase. c. both decrease as the mass and velocity increase. d. both are directly proportional to the mass and inversely proportional to the velocity of the object. e. both are inversely proportional to the mass and directly proportional to the velocity of the object.

select the correct answer. which statement explains the similarity between momentum and kinetic energy of an object? a. both are inversely proportional to the mass and velocity of the object. b. both increase as the mass and velocity increase. c. both decrease as the mass and velocity increase. d. both are directly proportional to the mass and inversely proportional to the velocity of the object. e. both are inversely proportional to the mass and directly proportional to the velocity of the object.

Answer

Explanation:

Step1: Recall momentum and kinetic - energy formulas

The momentum formula is $p = mv$, and the kinetic - energy formula is $K=\frac{1}{2}mv^{2}$, where $m$ is the mass of the object and $v$ is the velocity.

Step2: Analyze the relationship with mass and velocity

From the formula $p = mv$, momentum $p$ increases as $m$ or $v$ increases. From the formula $K=\frac{1}{2}mv^{2}$, kinetic energy $K$ also increases as $m$ or $v$ increases.

Answer:

B. Both increase as the mass and velocity increase.