Work Pulley Problem with constant speed

Click For Summary
SUMMARY

The discussion centers on the Work Pulley Problem involving a 1.2 kg block and a 2 kg box, both moving at constant speed. The calculations reveal that the work done by gravity on the 1.2 kg block is 8.82 J, while the work done by tension is -8.82 J, resulting in zero net work. For the 2 kg box, the work done by tension is also 8.82 J, and the work done by friction is -8.82 J, confirming that constant speed results in zero net work, despite individual forces performing work.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of work and energy
  • Knowledge of force calculations (e.g., tension, friction)
  • Basic proficiency in algebra for solving equations
NEXT STEPS
  • Study the relationship between net work and kinetic energy using the Work-Energy Theorem
  • Explore the implications of constant velocity on work done in various physical systems
  • Learn about the role of friction in mechanical systems and its effect on work
  • Investigate the calculations of work done by different forces in pulley systems
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of work and energy in mechanical systems, particularly in scenarios involving pulleys and constant speed motion.

Ineedhelpwithphysics
Messages
43
Reaction score
7
Homework Statement
Look at picture provided
Relevant Equations
W = F * delta x
For A the 1.2 kg block is being pulled by gravity hence work is done downwards which will make work positive since it's going with the same direction as the force.

1.2 * 9.8 = 11.76 N pulled downwards
Work = F*d
11.76*0.75 = 8.82 J

The tension is the other force and since the thing is going at constant speed:

11.76-T = 0

T = 11.76
but the work for the tension will be negative due to the fact it's opposite to the motion so

-11.76*0.75 = -8.82J

For b: the forces that are acting on the box is tension and friction, since the thing is moving at constant velocity T = Fn
2kg*9.8 = 19.6
T- Fn = 0
11.76 = Fn

The work due to the tension on the 2kg is:
11.76 * 0.75 = 8.82J

Work due to friction on 2kg box is:
-11.76 * 0.75 = -8.82J

For C) I approached this two ways
since the system is moving at constant speed

Wnet = 1/2 m (vf^2 - vi^2)

Wnet = 0 due to the fact its constant speed

The second approach i did was just adding up all the work i calculated.

Can anyone clarify to me if constant speed always means 0 work.



1708658086100.png
 
Physics news on Phys.org
Ineedhelpwithphysics said:
Homework Statement: Look at picture provided
Relevant Equations: W = F * delta x

For A the 1.2 kg block is being pulled by gravity hence work is done downwards which will make work positive since it's going with the same direction as the force.

1.2 * 9.8 = 11.76 N pulled downwards
Work = F*d
11.76*0.75 = 8.82 J

The tension is the other force and since the thing is going at constant speed:

11.76-T = 0

T = 11.76
but the work for the tension will be negative due to the fact it's opposite to the motion so

-11.76*0.75 = -8.82J

For b: the forces that are acting on the box is tension and friction, since the thing is moving at constant velocity T = Fn
2kg*9.8 = 19.6
T- Fn = 0
11.76 = Fn

The work due to the tension on the 2kg is:
11.76 * 0.75 = 8.82J

Work due to friction on 2kg box is:
-11.76 * 0.75 = -8.82J

For C) I approached this two ways
since the system is moving at constant speed

Wnet = 1/2 m (vf^2 - vi^2)

Wnet = 0 due to the fact its constant speed

The second approach i did was just adding up all the work i calculated.

Can anyone clarify to me if constant speed always means 0 work.



View attachment 340739
All good.
Yes, the net work done on a body is always its gain in KE.
 
Ineedhelpwithphysics said:
Can anyone clarify to me if constant speed always means 0 work.
Constant speed always means zero net work, i.e. the sum of all the works done of the body is zero. It does not mean that no work whatsoever is done on the body.
 
  • Like
Likes   Reactions: erobz

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
Replies
3
Views
2K
  • · Replies 18 ·
Replies
18
Views
1K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
29
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
33
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K