## Related questions with answers

Question

If the kinetic energy of a particle is tripled, by what factor has its speed increased?

Solution

VerifiedStep 1

1 of 2$3KE=3(\dfrac{1}{2}mv^{2})$ $3KE=3v^{2}$ $3KE=(\sqrt{3}v)^{2}$

Kinetic energy is one half mass velocity squared. If the entire kinetic energy changes, but nothing else, then we can disregard the one half and mass. We end up with $3v^{2}$, where 3 is acting on $v^{2}$, we need a value acting on $v$ alone, so we take the square root of three

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