×
Log in to StudySoup
Get Full Access to University Physics - 13 Edition - Chapter 5 - Problem 29e
Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 5 - Problem 29e

Already have an account? Login here
×
Reset your password

A 45.0-kg crate of tools rests on a horizontal floor. You

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 29E Chapter 5

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 1 264 Reviews
10
1
Problem 29E

A 45.0-kg crate of tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it, and the crate just begins to move when your force exceeds 313 N. Then you must reduce your push to 208 N to keep it moving at a steady 25.0 cm/s. (a) What are the coefficients of static and kinetic friction between the crate and the floor? (b) What push must you exert to give it an acceleration of 1.10 m/s2? (c) Suppose you were per-forming the same experiment on the moon, where the acceleration due to gravity is 1.62 m/s2. (i) What magnitude push would cause it to move? (ii) What would its acceleration be if you maintained the push in part (b)?

Step-by-Step Solution:
Step 1 of 3

Solution 29E Mass of the crate m = 45.0 kg Weight of the crate, mg = 45.0 kg × 9.80 m/s 2 mg = 441 N Force to move the crate F = 313 N (a) Let, sbe the coefficient of static friction. Therefore, F = mgs 313 N = × s41 N = 313/441 s = 0.709 s When the crate is moving, the force on it is = 208 N Let ke the coefficient of kinetic friction. Therefore, 208 N = × k41 N k 208/441 = 0.471 k (b) When an acceleration is given to the crate, the force on the crate will be F = ma a 2 F a = 45.0 kg × 1.10 m/s F a = 49.5 N But the push that has to be given to the crate will also include the 208 N force to keep the crate moving at a constant speed. Therefore. total push F T = F a + 208 N F T = 49.5 N + 208 N F = 257.5 N T Therefore, the total push needed to accelerate the crate is 257.5 N. 2 (c) i) Given that, moon = 1.62 m/s The force of static friction is smoon= 0.709 × 45 × 1.62 N F smoon= 51.6 N Therefore, the force required to move the crate on the moon is 51.6 N. (ii) The push force from part b is FT = 257.5 N Therefore, F = 45 × a moon+ mg moon T k 257.5 N = 45a + 0.471 × 45 × 1.62 N moon 257.5 N = 45a moon+ 34.3 N 45a moon= 223.2 N 2 a moon = 223.2/45 m/s a moon = 4.96 m/s 2 Therefore, the acceleration of the crate on the moon will be 4.96 m/s .

Step 2 of 3

Chapter 5, Problem 29E is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A 45.0-kg crate of tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it, and the crate just begins to move when your force exceeds 313 N. Then you must reduce your push to 208 N to keep it moving at a steady 25.0 cm/s. (a) What are the coefficients of static and kinetic friction between the crate and the floor? (b) What push must you exert to give it an acceleration of 1.10 m/s2? (c) Suppose you were per-forming the same experiment on the moon, where the acceleration due to gravity is 1.62 m/s2. (i) What magnitude push would cause it to move? (ii) What would its acceleration be if you maintained the push in part (b)?” is broken down into a number of easy to follow steps, and 123 words. The full step-by-step solution to problem: 29E from chapter: 5 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 29E from 5 chapter was answered, more than 853 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: Push, acceleration, crate, move, must. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

A 45.0-kg crate of tools rests on a horizontal floor. You