To find the momentum of the bullet just before it hits the bag, we can use the formula:
Momentum (p) = mass (m) 脳 velocity (v)
Given:
Mass (m) = 20g = 0.02 kg (converted from grams to kilograms)
Velocity (v) = 200 m/s
Using the formula, substitute the given values:
Momentum (p) = 0.02 kg 脳 200 m/s
Calculating this equation, we find:
Momentum (p) = 4 kg路m/s
Now, to find the average force that stopped the bullet, we can use the formula:
Force (F) = Change in momentum (螖p) / Time (t)
Given:
Change in momentum (螖p) = Final momentum - Initial momentum
Time (t) = 0.011s
Since the bullet comes to rest, the final momentum is 0 kg路m/s. Therefore, the change in momentum is equal to the initial momentum (4 kg路m/s).
Substituting the values into the formula:
Force (F) = 4 kg路m/s / 0.011s
Calculating this equation, we find:
Force (F) = 363.6 N
Therefore, the momentum of the bullet just before hitting the bag is 4 kg路m/s, and the average force that stopped the bullet is 363.6 N.