The kinetic energy of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity (or speed) of the object.

If the speed of the ball is doubled, then the new speed is 2v.

Substituting this into the kinetic energy formula gives KE = 1/2 m(2v)^2 = 1/2 m(4v^2) = 2mv^2.

So, if the speed of the ball is doubled, the kinetic energy is quadrupled (or increased by a factor of 4).

Question

The kinetic energy of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity (or speed) of the object.

If the speed of the ball is doubled, then the new speed is 2v.

Substituting this into the kinetic energy formula gives KE = 1/2 m(2v)^2 = 1/2 m(4v^2) = 2mv^2.

So, if the speed of the ball is doubled, the kinetic energy is quadrupled (or increased by a factor of 4).

Knowee AI · Accepted Answer

The kinetic energy of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity (or speed) of the object.

If the speed of the ball is doubled, then the new speed is 2v.

Substituting this into the kinetic energy formula gives KE = 1/2 m(2v)^2 = 1/2 m(4v^2) = 2mv^2.

So, if the speed of the ball is doubled, the kinetic energy is quadrupled (or increased by a factor of 4).

If the speed of the ball is doubled without affecting its mass, then the kinetic energy is