Question

A 140-g baseball traveling at 79.2 mi/h strikes the catcher's mitt which, in bringing the ball to rest, recoils backward a distance of 17.6 cm. Determine the magnitude of the average force applied by the glove on the ball to bring it to a stop, in newtons.

Answer #1

**Solution:**

Let us go to the basics first.

We know that

Impulse = F_{avg.}t = m (V_{i} - V_{f})
.**......................Eqn.1**

From Newton's Eqn:

V_{f} = V_{i} + at [ V_{i} = 79.2 mi/h =
35.4 m/s; V_{f} = 0 since rest]

=>0 = 35.4 + at

=> at = - 35.4**.....................Eqn.2**

Also, S = V_{i}t + 0.5at^{2} [where s = distance
= 17.6 cm = 0.176 m]

=>0.176 = 35.4t + 0.5at^{2} [substituting the value
of a from eqn.2 in eqn.1]

=>0.176 = 35.4t + 0.5(-35.4 / t)t^{2}

=>0.176 = 35.4t - 17.7t

=> t = 0.00994 seconds

Substituting t and other given values in eqn.1, we have:

F_{avg.}*0.00994 = 0.14 (35.4- 0) [m = 140 g = 0.14
kg]

**=> F _{avg.}= 498.6 N (Answer)**

**Thanks!!!**

a
450 g soccer ball is kicked by lionel messi and it is traveling
with 90 mi/hr strikes the goal keeper which he is in bringing the
ball to rest. the goal keeper recoils backward 40 cm during
catching the ball. what was the average force applied by the ball
on the goalkeeper?

A 100.0 g ball is launched from the top of a building. The ball
is launched from rest by a constant force that is applied,
resulting in the ball going from 0 m/s to 75 m/s over a distance of
60 cm. When the ball flies off the top of the building it has an
initial velocity of 120.0 m/s @ 33.0o above the
horizontal. Sitting on the ground is a tube, with a diameter
slightly larger than the ball....

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