An empty truck traveling at 10 km/h has kinetic energy. How much kinetic energy does it have when loaded so that its mass and its speed are both doubled?

Question

Physics

Simon Lambert

6 April, 10:50

An empty truck traveling at 10 km/h has kinetic energy. How much kinetic energy does it have when loaded so that its mass and its speed are both doubled?

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Answers (1)

Know the Answer?

Jarrett Burgess · Answer 1

8 time increase in K. E.

Explanation:

Consider Mass of truck = m kg and speed = v m/s then

K. E. = 1/2 * mv²

If mass and speed both are doubled i. e let m₀ = 2m and v₀ = 2v then

(K. E.) ₀ = 1/2 * 2m (2v) ²

(K. E.) ₀ = 8 (1/2 * mv²) = 8 * K. E.