Work Pulley Problem with constant speed

In summary, the "Work Pulley Problem with constant speed" involves analyzing the work done by a pulley system where an object is lifted or moved at a steady pace. Key concepts include the relationship between force, distance, and work, as well as the role of tension in the pulley and the effect of friction or other resistive forces. The problem typically requires applying the work formula (Work = Force x Distance) and understanding that constant speed implies a balance between the forces acting on the object, resulting in no net acceleration.
  • #1
Ineedhelpwithphysics
43
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.



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  • #2
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.
 
  • #3
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.
 
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FAQ: Work Pulley Problem with constant speed

What is a work pulley problem?

A work pulley problem typically involves calculating the work done by forces in a system that includes pulleys and masses. These problems often require an understanding of mechanical advantage, force, and motion dynamics.

How do you determine the work done in a pulley system with constant speed?

When the speed is constant, the net force acting on the system is zero. The work done is calculated using the formula Work = Force x Distance. Since the speed is constant, the force applied equals the gravitational force on the mass being lifted.

What role does mechanical advantage play in a pulley system?

Mechanical advantage in a pulley system allows a smaller force to lift a larger load. It is the ratio of the load force to the effort force. In an ideal pulley system, mechanical advantage reduces the effort needed to lift a load by distributing the weight across multiple segments of rope or cable.

How do you calculate the force needed to lift a mass with a pulley at constant speed?

To lift a mass at constant speed, the force applied must equal the gravitational force acting on the mass. This force can be calculated using the formula Force = Mass x Gravitational acceleration (F = m*g). For a mass m and gravitational acceleration g, the force required is m*g.

What assumptions are made in solving work pulley problems with constant speed?

Several assumptions are typically made: (1) The pulley system is frictionless. (2) The rope or cable is massless and inextensible. (3) The acceleration due to gravity is constant. (4) The speed of the mass being lifted is constant, implying no net acceleration.

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