The speed of the moving body has increased 3 times. In this case, the kinetic energy increased by a factor of 10?
| February 18, 2021 | education
To find the desired increase in the kinetic energy of a given moving body, we use the relation: k = Ek1 / Ek0 = (m * V1 ^ 2/2) / (m * V0 ^ 2/2) = V1 ^ 2 / V0 ^ 2.
Variable ratio: V1 (final speed = 3V0 (initial speed).
Let’s perform the calculation: k = V1 ^ 2 / V0 ^ 2 = (3V0 ^ 2) / V0 ^ 2 = 9V0 ^ 2 / V0 ^ 2 = 9 times.
Answer: The kinetic energy after increasing the speed increased by 9 times.
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