When the speed of a moving object is doubled, its: A) acceleration is doubled, B) weight is doubled, C) K.E. is doubled, D) K.E. becomes 4 times

Paloma Owens

Paloma Owens

Answered question

2023-03-20

When the speed of a moving object is doubled, its
A) acceleration is doubled
B) weight is doubled
C) K.E. is doubled
D) K.E. becomes 4 times

Answer & Explanation

Jase Leonard

Jase Leonard

Beginner2023-03-21Added 6 answers

The correct answer is D K.E. becomes 4 times
Step 1: Given data
The speed of a moving object is double. So, if the initial speed is v and the final speed is v', then
v'=2v
Step 2: Finding kinetic energy
A moving object possesses kinetic energy by virtue of its motion.
The kinetic energy (K.E.) of a body of mass m moving with speed v is given by
K.E.=12mv2
When the speed is doubled, the kinetic energy of the body becomes
K.E.'=12mv'2=12m(2v)2=4·12mv2=4K.E.
Therefore, when the speed of an object is doubled, its kinetic energy becomes 4 times its initial kinetic energy.
Thus, option D is correct.

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