How many times does the kinetic energy increase if the body mass and its speed are doubled?

univerkov | December 21, 2020 | education

Given:
m1 = m; m2 = 2m
V1 = v; V2 = 2v
Let us write the formula for the kinetic energy for the first and second cases.
E1 = m × v ^ 2/2 E2 = 2m × 4v ^ 2/2
Let’s find the relation:
E1 / E2 = m × v ^ 2/2 × 2 / 2m × 4v ^ 2
E1 / E2 = 1/8
E2 = 8E1
Answer: 8 times

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