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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

User Benben
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1 Answer

3 votes

Final answer:

Kinetic energy of a particle increases with its mass and the square of its velocity. A heavier and faster-moving particle will have more kinetic energy. The correct answer is b. more/higher.

Step-by-step explanation:

The question relates to the concept of kinetic energy, which in physics is defined by the relationship KE = ½mv2, where KE represents kinetic energy, m is the mass, and v is the velocity of an object. From this equation, it is clear that kinetic energy is directly proportional to both the mass of an object and the square of its velocity. Thus, the more mass a particle has and the higher its speed, the greater the kinetic energy it possesses.

For example, a truck that has a mass of 2000 kg and is moving at 100 km/hr will have more kinetic energy than a car of 500 kg at the same speed because the truck has a larger mass. In the case where two objects have the same kinetic energy, the one with the smaller mass must have a higher speed to compensate.

Therefore, to answer the given question: The more mass a particle has and the higher the particle's speed, the more kinetic energy the particle has. The correct option is b. more/higher.

User Remi Smirra
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8.1k points