Question

The kinetic energy of a ball or any other object depends on its mass and speed. The same is true of the kinetic energy of a particle.

The ___________ mass a particle has and the ________ the particle's speed, the more kinetic energy the particle has.

a. less/higher

b. more/higher

c. less/lower

d. more/lower

Answer 1

The more mass a particle has and the higher the particle's speed, the more kinetic energy it possesses; the formula KE = 1/2mv² confirms this relationship, leading to option b. more/higher being correct.

Step-by-step explanation:

The question asks about the relationship between the mass and speed of a particle and its kinetic energy (KE). According to the kinetic energy formula KE = 1/2mv², where m is mass and v is velocity, the kinetic energy of a particle is directly proportional to both its mass and the square of its speed.

Therefore, the complete sentence would be: "The more mass a particle has and the higher the particle's speed, the more kinetic energy the particle has." The correct option from the given list is thus b. more/higher.