A bowling ball has a mass of 7 kg and a speed of 1.73 m/s. A baseball has a mass of 0.12 kg and a speed of 25.1 m/s. Which ball has the larger momentum?
a. The bowling ball.
b. More information needed
c. The baseball.
d. Both have the same momentum
momentum= mass x velocity
momentum of bowling ball:
(7)(1.73)=12.11
momentum of baseball:
(0.12)(25.1)=3.012
answer: a.) the bowling ball has the larger momentum
To determine which ball has the larger momentum, we need to calculate the momentum of each ball. The formula for momentum is given by:
Momentum = Mass * Velocity
For the bowling ball:
Mass (m1) = 7 kg
Velocity (v1) = 1.73 m/s
Momentum (p1) = m1 * v1
p1 = 7 kg * 1.73 m/s
p1 = 12.11 kg m/s
For the baseball:
Mass (m2) = 0.12 kg
Velocity (v2) = 25.1 m/s
Momentum (p2) = m2 * v2
p2 = 0.12 kg * 25.1 m/s
p2 = 3.012 kg m/s
Comparing the two momenta, we see that p1 (momentum of the bowling ball) is larger than p2 (momentum of the baseball).
Therefore, the correct answer is: a. The bowling ball has the larger momentum.