In a good hit, a baseball and bat are in contact with each other for about 1 millisecond. In the first game of the 2012 World Series, Tigers pitcher Justin Verlander threw a 90-mph pitch to the Giants’ Pablo Sandoval. Sandoval’s hit returned the ball directly back at Verlander at 70 mph. Calculate the average force of the bat on the ball, during the contact. Round the final answer to the nearest whole number. The size and mass of common balls are listed, together with typical values of speed and spin relevant to play.RadiusMassBallSpincmftkgslugm/smphrps26.56 x 10-22.7x 10-31.86x 10-4Table tennis9-2520-5510-252.136.99 x 10-20.0453.10x 10-3GolfUp to 65 Up to 145 Up to 180!3.181.04 x 10-10.0573.93 x 10-3Tennis ball3065303.21.05 x 10-10.1451.00x 10-2Lacrosse ball30-5065-110?3.741.23 x 10-10.151.03 x 10-2Baseball25-4555–100up to 202.869.38 x 10-20.1561.08 x 10-2Numbered billiard ball2.869.38 x 10-20.171.17× 10-2Billiard cue ball (heavy)0.5-81–153.581.17x 10-10.161.10x 10-2Cricket10--3.811.25 x 10-10.171.17× 10-2Hockey puck (h= 2.54 cm)20-4345-954.851.59 x 10-10.1851.28 x 10-2Softball18-3240–70?10.53.44 x 10-10.271.86x 10-2 | Volleyball15-2535-553-6 (est.)8.92.92 x 10-10.422.90x 10-2Football (1 = 28 cm)18-2640-6010 (spiral)11.13.64x 10-10.4252.93 x 10-2Soccer ball15-2535-551010.53.44 x 10-10.4252.93 x 10-2Women's water polo11.13.64 x 10-10.4252.93 x 10-2Men's water polo11.63.80 x 10-10.543.72x 10-2Women's basketball (size 6)5-1010-252123.94 x 10-10.624.28 x 10-2Men's basketball (size 7)5–1010-252185.90 x 10-116.90x 10-2Women's discus15-2534-56227.22 x 10-!21.38× 10-!Men's discus15-2534-561.64 x 10-142.76x 10-1Women's 4-kg shot10–1422–326.1.97× 10-17.265.01x 10-1Men's 16-lb shot10–1422–3210.93.58 x 10-17.265.01x 10-1Bowling ball, 16 lb6-1015-257.35.03 x 10-1Carbon bike8-2018-45144.59 x 10-118.21.26Curling stone37

Answered: In a good hit, a baseball and bat are…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 106AP

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Question

In a good hit, a baseball and bat are in contact with each other for about 1 millisecond. In the first game of the 2012 World Series, Tigers pitcher Justin Verlander threw a 90-mph pitch to the Giants’ Pablo Sandoval. Sandoval’s hit returned the ball directly back at Verlander at 70 mph. Calculate the average force of the bat on the ball, during the contact. Round the final answer to the nearest whole number.

The size and mass of common balls are listed, together with typical values of speed and spin relevant to play.
Radius
Mass
Ball
Spin
cm
ft
kg
slug
m/s
mph
rps
2
6.56 x 10-2
2.7x 10-3
1.86x 10-4
Table tennis
9-25
20-55
10-25
2.13
6.99 x 10-2
0.045
3.10x 10-3
Golf
Up to 65 Up to 145 Up to 180!
3.18
1.04 x 10-1
0.057
3.93 x 10-3
Tennis ball
30
65
30
3.2
1.05 x 10-1
0.145
1.00x 10-2
Lacrosse ball
30-50
65-110
?
3.74
1.23 x 10-1
0.15
1.03 x 10-2
Baseball
25-45
55–100
up to 20
2.86
9.38 x 10-2
0.156
1.08 x 10-2
Numbered billiard ball
2.86
9.38 x 10-2
0.17
1.17× 10-2
Billiard cue ball (heavy)
0.5-8
1–15
3.58
1.17x 10-1
0.16
1.10x 10-2
Cricket
10
-
-
3.81
1.25 x 10-1
0.17
1.17× 10-2
Hockey puck (h= 2.54 cm)
20-43
45-95
4.85
1.59 x 10-1
0.185
1.28 x 10-2
Softball
18-32
40–70
?
10.5
3.44 x 10-1
0.27
1.86x 10-2 | Volleyball
15-25
35-55
3-6 (est.)
8.9
2.92 x 10-1
0.42
2.90x 10-2
Football (1 = 28 cm)
18-26
40-60
10 (spiral)
11.1
3.64x 10-1
0.425
2.93 x 10-2
Soccer ball
15-25
35-55
10
10.5
3.44 x 10-1
0.425
2.93 x 10-2
Women's water polo
11.1
3.64 x 10-1
0.425
2.93 x 10-2
Men's water polo
11.6
3.80 x 10-1
0.54
3.72x 10-2
Women's basketball (size 6)
5-10
10-25
2
12
3.94 x 10-1
0.62
4.28 x 10-2
Men's basketball (size 7)
5–10
10-25
2
18
5.90 x 10-1
1
6.90x 10-2
Women's discus
15-25
34-56
22
7.22 x 10-!
2
1.38× 10-!
Men's discus
15-25
34-56
1.64 x 10-1
4
2.76x 10-1
Women's 4-kg shot
10–14
22–32
6.
1.97× 10-1
7.26
5.01x 10-1
Men's 16-lb shot
10–14
22–32
10.9
3.58 x 10-1
7.26
5.01x 10-1
Bowling ball, 16 lb
6-10
15-25
7.3
5.03 x 10-1
Carbon bike
8-20
18-45
14
4.59 x 10-1
18.2
1.26
Curling stone
3
7

Expert Solution

Step 1: Given data

Solution:

Given that:

v_i = 90 mph = 40.2336 m/s

v_f = -70 mph = -31.2928 m/s

Δt = 1 millisecond =1x10^-3 s

Note: Velocity has direction, After the hit, ball travels in opposite direction.

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