If the kinetic energy of a ball is doubled, then the momentum is about
Question
If the kinetic energy of a ball is doubled, then the momentum is about
Solution
The kinetic energy (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity of the object. The momentum (p) of an object is given by the formula p = mv.
If the kinetic energy is doubled, we have 2KE = mv^2.
However, the relationship between kinetic energy and momentum is not direct. The kinetic energy is proportional to the square of the velocity, while the momentum is directly proportional to the velocity.
Therefore, if the kinetic energy is doubled, the momentum will increase, but not necessarily double. It will increase by a factor of the square root of 2, or approximately 1.41.
So, if the kinetic energy of a ball is doubled, then the momentum is about 1.41 times its original value.
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