A student pushes a block of mass m=2.5 kg with a horizontal force of F= 60 N over a distance of 50 meters along a rough surface as shown below. The coefficient of friction between the block and the surface is u= 0.375 and the block starts from rest. Draw a free- body diagram for the block and determine; a. The magnitude of the frictional force. b. The magnitude of the work done by the frictional force. c. The magnitude of the work done by the student. d. Use the Work-Energy Theorem to determine the block's final velocity when its displacement equals 50 meters. c. Determine the block's final kinetic energy. F = 60 N DU 2.5-kg μ-0.375 50-m 4" 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11 12 13 62.40 2680 150 3000 459.4 24.50 12.00 12.37 2540 9.188 57.39 8.735 3682 14. 5.325 15. 45.08
A student pushes a block of mass m=2.5 kg with a horizontal force of F= 60 N over a distance of 50 meters along a rough surface as shown below. The coefficient of friction between the block and the surface is u= 0.375 and the block starts from rest. Draw a free- body diagram for the block and determine; a. The magnitude of the frictional force. b. The magnitude of the work done by the frictional force. c. The magnitude of the work done by the student. d. Use the Work-Energy Theorem to determine the block's final velocity when its displacement equals 50 meters. c. Determine the block's final kinetic energy. F = 60 N DU 2.5-kg μ-0.375 50-m 4" 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11 12 13 62.40 2680 150 3000 459.4 24.50 12.00 12.37 2540 9.188 57.39 8.735 3682 14. 5.325 15. 45.08
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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
Transcribed Image Text:A student pushes a block of mass \( m = 2.5 \, \text{kg} \) with a horizontal force of \( F = 60 \, \text{N} \) over a distance of 50 meters along a rough surface. The coefficient of friction between the block and the surface is \( \mu = 0.375 \), and the block starts from rest. Draw a free-body diagram for the block and determine:
a. The magnitude of the frictional force.
b. The magnitude of the work done by the frictional force.
c. The magnitude of the work done by the student.
d. Use the Work-Energy Theorem to determine the block’s final velocity when its displacement equals 50 meters.
e. Determine the block’s final kinetic energy.
**Diagram Description:**
- The diagram shows a block with mass \( 2.5 \, \text{kg} \) on a surface with a frictional coefficient \( \mu = 0.375 \), a force \( F = 60 \, \text{N} \) applied horizontally to it.
- The block travels a distance of 50 meters.
**Solution Steps:**
- a, b, c, d, e: Checkboxes to select answers.
- List of possible answers with corresponding numbers:
1. 62.40
2. 2680
3. 150
4. 3000
5. 459.4
6. 24.50
7. 12.00
8. 12.37
9. 2540
10. 9.188
11. 57.39
12. 8.735
13. 3692
14. 5325
15. 46.08
These steps guide the calculation of friction, work done, kinetic energy, and velocity using given physics principles.
Expert Solution

Step 1
Given value---
- mass = 2.5 kg.
- F = 60 N.
- d = 50 m.
- mu = 0.375 .
We have to find---
- a. The magnitude of the frictional force.
- b. The magnitude of the work done by the frictional force.
- c. The magnitude of the work done by the student. d. Use the Work-Energy Theorem to determine the block's final velocity when its displacement equals 50 meters.
- e. Determine the block's final kinetic energy.
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