The momentum of a tennis ball and football is the same.Do they have the same kinetic energy? Justify your answer
Do they have the same mass?
To determine whether the tennis ball and football have the same kinetic energy, we need to understand the relationship between momentum and kinetic energy.
Momentum (p) is given by the formula: p = m * v, where m represents the mass of the object and v represents its velocity.
Kinetic energy (KE) is given by the formula: KE = (1/2) * m * v^2.
Since both the tennis ball and football have the same momentum, it means that their mass and velocity are inversely proportional. In other words, if the mass of one object is larger, its velocity must be smaller, and vice versa, so as to keep the momentum the same.
However, kinetic energy depends on both mass and velocity. In this case, since the mass and velocity of the tennis ball and football are different, their kinetic energies will also differ.
To justify this answer, you can calculate the kinetic energy separately for both objects using the given formulas. Compare the calculated values to see that they are not equal.