If the speed of an object doubles does its kinetic energy double?

Answer 1

As long as an object is not rotating or otherwise changing its direction of motion, and its velocity is not approaching that of light, the kinetic energy, K, of an object of mass m, and travelling at a speed v, is ½ mv².

K = ½ mv²

Since kinetic energy, in this relation, is directly proportional to mass, doubling the mass also doubles the kinetic energy.

So the kinetic energy is increased by a factor of two.

Answer 2

The kinetic energy of a moving object is 1/2 of (its mass) times (the square of its speed). Since the mass doesn't change, we can concentrate on the (speed2) part. This says that the kinetic energy changes like the square of the speed. So if the speed doubles, there is 4 times as much kinetic energy; if the speed grows by 5 times, the kinetic energy grows by 25 times, etc. This question says the kinetic energy grew by 2 times. So the speed must have increased by the square root of 2, or about 1.41 times.

Answer 3

Kinetic energy is proportional to the square of the speed, 2 x the speed would give 4x the kinetic energy, 3x speed would be 9x energy, etc. A car travelling at 60MPH has 4x the energy than at 30 MPH

Answer 4

Since KE is directly proportional to the square of the velocity, as velocity is trippled, then KE would be increased by 32 ie 9 times.

Answer 5

Kinetic energy increases with the square of the speed. 2x the speed = 4x the energy, etc

Answer 6

It goes up by the square, so four times in this case. KE = ½mv-squared. Squared should be indicated by a small 2 next to the v and above it but that isn't working - no-one knows why.

Answer 7

potential energy

Answer 8

The kinetic energy will quadruple.