Question

Baseball: a baseball b, weighing .14 kg is thrown at 44 m/s at the batter. The batter swings the bat B, which weighs 0.95 kg at 39 m/s hitting the baseball. Assume precise conservation of energy and momentum and the motion during the hit is exactly horizontal. Calculate the conservation of energy and momentum and solve for the final velocities of the ball and bat. What is the total mechanical kinetic energy? If the impulse is rectangular (goes to maximum force immediately and to zero as well) and lasts for 0.02 s, what is the strength of the force of the bat on the ball? What is the strength of the force of the ball on the bat?

Answer #1

A baseball of mass 0.145 kg is thrown at a speed of 40.0 m/s.
The batter strikes the ball with a force of 29,000 N; the bat and
ball are in contact for 0.500 ms. The force is exactly opposite to
the original direction of the ball.
1)
Determine the final speed of the ball.

A 268 g baseball is thrown toward home plate at 21.8 m/s, and
the batter hits it right back at the pitcher at 41.6 m/s. Find the
magnitude of the impulse, in N-s, supplied by the bat to the
ball.
A 238 g baseball is thrown toward home plate at 38.2 m/s, and
the batter hits it right back at the pitcher at 33.8 m/s. Assume
the force exerted by the bat is approximately constant, and has
magnitude 139 N....

A ball is thrown from a 10 m high cliff with a speed of 14 m/s.
How fast will the ball be going when it hits the ground?
A baseball is travelling at 40 m/s toward a batter. The batter
swings and makes contact with the ball for 0.001 s, sending the
ball back the other direction at 50 m/s. What is the ball’s change
in momentum? How much force did the bat apply to the ball?

Problem 11
: A pitcher throws a baseball (mass 0.15 kg) at 40 m/s toward a
batter. The batter
swings, and hits the baseball directly back to the pitcher at 40
m/s. If the contact time between
the bat and the ball is 0.01 seconds, what was the average force
of the bat on the ball?

A baseball approaching a batter with a speed of 25 m/s is hit
and leaves the bat in the directly opposite direction with a speed
of 50 m/s. The mass of the baseball is 0.15 kg.
a) What is the magnitude of the impulse (in N · s) exerted by
the bat on the baseball?
b) If the time of contact between the bat and the baseball is
2.9 ms, what is the average force exerted by the bat on...

A(n) 0.239 kg baseball is thrown with a speed of 31.4 m/s. It is
hit straight back at the pitcher with a ﬁnal speed of 19.6 m/s.
(1)What is the magnitude of the impulse delivered to the ball?
Answer in units of kg · m/s
(2)Find the average force exerted by the bat on the ball if the
two are in contact for 0.00216 s. Answer in units of N..

A pitcher throws a 0.140-kg baseball with a speed of 28.9 m/s.
The batter strikes it with an average force of 5000 N which results
in the ball traveling with an initial speed of 37.0 m/s toward the
pitcher. For how long were the bat and ball in contact?
1.32 × 10-2 s
4.44 × 10-3 s
3.17 × 10-2 s
1.85 × 10-3 s

A baseball pitcher is attempting to strike out a batter and
they throw their best fast ball at 40m/s. The distance between the
pitchers mound and the center of home plate is 17.5m. The batter
swings the bat at an average of 12 rad/s just 0.3s after the
pitcher releases the ball and the angular displacement of the bat
from the batters shoulder to the hitting position directly over the
place is 1.65 rads.
Will the bat strike the ball,...

A baseball approaches home plate at a speed of 47.0 m/s, moving
horizontally just before being hit by a bat. The batter hits a
pop-up such that after hitting the bat, the baseball is moving at
52.0 m/s straight up. The ball has a mass of 145 g and is in
contact with the bat for 1.80 ms. What is the average vector force
the ball exerts on the bat during their interaction?

A baseball approaches home plate at a speed of 38.6 m/s, moving
horizontally just before being hit by a bat. The batter hits a
pop-up such that after hitting the bat, the baseball is moving at
49 m/s straight up. The ball has a mass of 164 g and is in contact
with the bat for 1.55 cs. What is the average force the ball exerts
on the bat during their interaction?
F = N i and N j.

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