A truck and a motorcycle are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesTruckMotorcycle

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.

Momentum, on the other hand, is given by the formula p = mv.

Given that the truck and the motorcycle have the same momentum, we can set their momenta equal to each other:

m_truck * v_truck = m_motorcycle * v_motorcycle

From this equation, we can see that for the momentum to be the same, the truck, which has a larger mass, must be moving at a slower speed than the motorcycle.

Substituting the momentum equation into the kinetic energy equation gives:

KE = 1/2 p^2/m

From this equation, we can see that the kinetic energy is inversely proportional to the mass for a given momentum.

Therefore, the motorcycle, which has a smaller mass, will have a greater kinetic energy than the truck.