The kinetic energy of a particle is given by the equation KE = 1/2 mv^2, where m is the mass of the particle and v is its velocity.

If the speed (v) is increased by a factor of 2, the new speed will be 2v.

Substituting this into the kinetic energy equation gives:

KE = 1/2 m (2v)^2 = 1/2 m * 4v^2 = 2mv^2

This is 4 times the original kinetic energy (1/2 mv^2).

So, the kinetic energy of the particle will increase by a factor of 4 if the speed is increased by a factor of 2.

Question

The kinetic energy of a particle is given by the equation KE = 1/2 mv^2, where m is the mass of the particle and v is its velocity.

If the speed (v) is increased by a factor of 2, the new speed will be 2v.

Substituting this into the kinetic energy equation gives:

KE = 1/2 m (2v)^2 = 1/2 m * 4v^2 = 2mv^2

This is 4 times the original kinetic energy (1/2 mv^2).

So, the kinetic energy of the particle will increase by a factor of 4 if the speed is increased by a factor of 2.

Knowee AI · Accepted Answer

The kinetic energy of a particle is given by the equation KE = 1/2 mv^2, where m is the mass of the particle and v is its velocity.

If the speed (v) is increased by a factor of 2, the new speed will be 2v.

Substituting this into the kinetic energy equation gives:

KE = 1/2 m (2v)^2 = 1/2 m * 4v^2 = 2mv^2

This is 4 times the original kinetic energy (1/2 mv^2).

So, the kinetic energy of the particle will increase by a factor of 4 if the speed is increased by a factor of 2.

By what factor will the kinetic energy of a particle change if the speed is increased by a factor of 2? 4 8 2 2