If the KE of an arrow is quadrupled, by what factor has its speed increased? Also if the speed is tripled, by what factor does its KE increase?
2007-01-04 07:37:35 · 1 answers · asked by gracelikerain 2 in Science & Mathematics ➔ Physics
The Kinetic Energy is given (classically) by the equation
KE = (.5)m(v squared) where KE is the kinetic energy, m is the mass of the object, and (v squared) is the velocity (or speed) squared.
Thus, if we quadruple the KE, we have an extra four on the left side of the equation. What do we have to do to the v to get a 4 on the right side to cancel it out? We need to double the v. Doubling the v would quadruple the Kinetic energy.
If the velocity was tripled, that would give nine times the kinetic energy, since the kinetic energy is proportional to the velocity squared.
2007-01-04 07:44:49 · answer #1 · answered by Nicknamr 3 · 1⤊ 0⤋