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

Question

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

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Solution

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).

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