assignment 01.04 the laws of motion

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04: The Laws of Motion

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Problems & Exercises

13.3 m/s 2 13.3 m/s 2

(a) 12 m/s 2 12 m/s 2 .

(b) The acceleration is not one-fourth of what it was with all rockets burning because the frictional force is still as large as it was with all rockets burning.

(a) The system is the child in the wagon plus the wagon.

(c) a = 0 . 130 m/s 2 a = 0 . 130 m/s 2 in the direction of the second child’s push.

(d) a = 0.00 m/s 2 a = 0.00 m/s 2

(a) 3.68 × 10 3 N 3.68 × 10 3 N . This force is 5.00 times greater than his weight.

(b) 3750 N; 11.3º above horizontal 3750 N; 11.3º above horizontal

1.5 × 10 3 N , 150 kg , 150 kg 1.5 × 10 3 N , 150 kg , 150 kg

Force on shell: 2 . 64 × 10 7 N 2 . 64 × 10 7 N

Force exerted on ship = − 2 . 64 × 10 7 N − 2 . 64 × 10 7 N , by Newton’s third law

(a) 0.11 m/s 2 0.11 m/s 2 (b) 1.2 × 10 4 N 1.2 × 10 4 N

(a) 7 . 84 × 10 -4 N 7 . 84 × 10 -4 N

(b) 1 . 89 × 10 –3 N 1 . 89 × 10 –3 N . This is 2.41 times the tension in the vertical strand.

Newton’s second law applied in vertical direction gives

Using the free-body diagram:

F net = T − f − m g = ma F net = T − f − m g = ma ,

a = T − f − mg m = 1 . 250 × 10 7 N − 4.50 × 10 6 N − ( 5.00 × 10 5 kg ) ( 9. 80 m/s 2 ) 5.00 × 10 5 kg = 6.20 m/s 2 a = T − f − mg m = 1 . 250 × 10 7 N − 4.50 × 10 6 N − ( 5.00 × 10 5 kg ) ( 9. 80 m/s 2 ) 5.00 × 10 5 kg = 6.20 m/s 2 .

Find: F F .

F = ( 70.0 kg ) [ ( 39 . 2 m/s 2 ) + ( 9 . 80 m/s 2 ) ] F = ( 70.0 kg ) [ ( 39 . 2 m/s 2 ) + ( 9 . 80 m/s 2 ) ] = 3. 43 × 10 3 N = 3. 43 × 10 3 N . The force exerted by the high-jumper is actually down on the ground, but F F is up from the ground and makes him jump.

• This result is reasonable, since it is quite possible for a person to exert a force of the magnitude of 10 3 N 10 3 N .

(a) 4 . 41 × 10 5 N 4 . 41 × 10 5 N

(b) 1 . 50 × 10 5 N 1 . 50 × 10 5 N

(a) 910 N 910 N

(b) 1 . 11 × 10 3 N 1 . 11 × 10 3 N

a = 0.139 m/s a = 0.139 m/s , θ = 12.4º θ = 12.4º north of east

• Use Newton’s laws since we are looking for forces.

The x -components of the tension cancel. ∑ F x = 0 ∑ F x = 0 .

• This seems reasonable, since the applied tensions should be greater than the force applied to the tooth.

10.2 m/s 2 , 4.67º from vertical 10.2 m/s 2 , 4.67º from vertical

T 1 = 736 N T 1 = 736 N

T 2 = 194 N T 2 = 194 N

(a) 7.43 m/s 7.43 m/s

(a) 4.20 m/s 4.20 m/s

(b) 29.4 m/s 2 29.4 m/s 2

(c) 4 . 31 × 10 3 N 4 . 31 × 10 3 N

(a) 47.1 m/s

(b) 2 . 47 × 10 3 m/s 2 2 . 47 × 10 3 m/s 2

(c) 6.18 × 10 3 N 6.18 × 10 3 N . The average force is 252 times the shell’s weight.

(a) 1 × 10 − 13 1 × 10 − 13

(b) 1 × 10 − 11 1 × 10 − 11

(a) Box A travels faster at the finishing distance since a greater force with equal mass results in a greater acceleration. Also, a greater acceleration over the same distance results in a greater final speed.

(b) i. Yes, it is consistent because a greater force results in a greater final speed. ii. It does not make sense because V = 2 ( f / m ) x = K ( F ) V = 2 ( f / m ) x = K ( F ) .

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Access for free at https://openstax.org/books/college-physics-2e/pages/1-introduction-to-science-and-the-realm-of-physics-physical-quantities-and-units

• Authors: Paul Peter Urone, Roger Hinrichs
• Publisher/website: OpenStax
• Book title: College Physics 2e
• Publication date: Jul 13, 2022
• Location: Houston, Texas
• Book URL: https://openstax.org/books/college-physics-2e/pages/1-introduction-to-science-and-the-realm-of-physics-physical-quantities-and-units
• Section URL: https://openstax.org/books/college-physics-2e/pages/chapter-4

© Jan 19, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.