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25. An object has 100 J of kinetic energy when suddenly its velocity decreases by a factor of 10. What is the new kinetic energy?

a. 10,000 J
b. 1000 J
c. 100 J
d. 10 J
e. 1 J

1 Answer

1 vote

Final answer:

When an object's velocity decreases by a factor of 10, its kinetic energy also decreases by a factor of 100. Therefore, if the initial kinetic energy is 100 J, the new kinetic energy will be 1 J. Therefore correct option is E

Step-by-step explanation:

The question pertains to the concept of kinetic energy, which is the energy that an object has due to its motion.

Kinetic energy (KE) is given by the formula KE = 1/2 * m * v2, where m represents the mass of the object and v is its velocity.

When the velocity of an object is decreased by a factor of 10, the new velocity is v/10.

Applying this change to the kinetic energy formula, we have the new kinetic energy

KE' = 1/2 * m * (v/10)2

= 1/2 * m * v2/100

= KE/100.

Since the initial kinetic energy is given as 100 J, the new kinetic energy after reducing the velocity by a factor of 10 is KE' = 100 J / 100

= 1 J.

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