b) which has more momentum, a 3.0 kg ball moving at 9.0 m/s or a 5.0 kg ball moving at 5.0 m/s? Show your work to support your answer.
p = mv
so, which is greater,
3*9 or 5*5
?
To determine which ball has more momentum, we need to calculate the momentum of each ball using the formula:
Momentum (p) = mass (m) × velocity (v)
For the first ball:
Mass (m1) = 3.0 kg
Velocity (v1) = 9.0 m/s
Momentum (p1) = 3.0 kg × 9.0 m/s
= 27.0 kg·m/s
For the second ball:
Mass (m2) = 5.0 kg
Velocity (v2) = 5.0 m/s
Momentum (p2) = 5.0 kg × 5.0 m/s
= 25.0 kg·m/s
Comparing the two calculated momenta, we can see that the first ball has a higher momentum of 27.0 kg·m/s, while the second ball has a momentum of 25.0 kg·m/s.
Therefore, the ball with a mass of 3.0 kg and a velocity of 9.0 m/s has more momentum than the ball with a mass of 5.0 kg and a velocity of 5.0 m/s.