2. How fast would a 0.25 kg football have to be traveling to have the same momentum as a 0.05 kg bullet travelling 500 m/s?

The football is 100 m/s fast

Explanation:

Momentum is the product of the mass of a body and it velocity. Momentum is a vector quantity. Meaning it has both Magnitude and direction. Momentum is the mass of a body in motion. Mathematically,

Momentum = mass * velocity

p = m * v

To calculate how fast the football traveled one needs to calculate for the momentum of the bullet.

Momentum of the bullet = mass * velocity

Momentum of the bullet = 0.05 * 500

Momentum of the bullet = 25 kg m/s

Since the momentum of the bullet is equal to the momentum of the football

Momentum of the football = mass * velocity

How fast means calculate the speed which is the velocity

Velocity = Momentum of the bullet/mass

Velocity = 25/0.25

Velocity = 100 m/s

Momentum = mass (kg) * velocity (m/s)

The bullets momentum is 0.05 * 500 = 25

25/0.25 = 100

The ball would travel at 100 m/s.