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

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