Answer:
The magnitude of the average force to supply to the ball in order to stop the ball is 9.68 N.
Step-by-step explanation:
Let's think Newton's 2nd Law: F = ma.
We are given the mass of the ball: 219 g ⇒ .219 kg.
We are given the initial velocity, time, and final velocity of the ball ∴ we can solve for acceleration.
We are trying to find the force needed to stop the ball.
Let's find the acceleration of the ball first.
- We have the initial velocity of the ball, 6.1 m/s.
- We have the time it would hypothetically take the ball to stop, .138 s.
- We have the final velocity of the ball, 0 m/s (since we are trying to stop the ball).
Now, we can plug these known values into this kinematic equation and solve for acceleration, a.
- v = v₀ + at
- 0 = 6.1 + a(.138)
- -6.1 = .138a
- a = 44.2029 m/s²
Substitute acceleration and mass into F = ma and solve for the force.
- F = (.219)(44.2029)
- F = 9.68 N
The magnitude of the average force to supply to the ball in order to stop the ball is 9.68 N.