You catch a 219 g ball moving at 6.1 m/s. If you catch the ball in a time period of
0.138 s what is the magnitude of the average force you must supply to the ball to
stop the ball?
Answer in units of Newtons (N)
Answer
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Supernova 7 months ago
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Answer:

The magnitude of the average force to supply to the ball in order to stop the ball is 9.68 N.

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.

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