Finding work with displacement and weight.

In summary, Steve lifts a 5.0kg toolbox 0.5 meters off the ground and the amount of work done on Earth would be 24.5 units while the amount of work done on the moon would be 4.08 units, due to the moon's lower gravity. The equation for work is work = force x displacement, and since the moon's mass is less than that of Earth, its gravity is 1/6th of the gravity on Earth.
  • #1
Bluepie97
6
2

Homework Statement


Steve lifts a 5.0kg toolbox 0.5 meters off the ground. Compare the amount of work that would be done on Earth to the amount that would be done on the moon.

Homework Equations

The Attempt at a Solution


(no idea what i am doing)

work = force x displacement

x = (5/a) (.5) cos 9.8
 
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  • #2
Hint: since the mass of moon is less than that of Earth , therefore its gravity is 1/6th of the gravity at earth.
 
  • #3
Ok think i fixed it up a bit.
5 x g (planet) = f
w = f x .5
 
  • #4
w Earth = 24.5 (units)
w moon = 4.08 (units)
 
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  • #5
Yup...its correct...!
 
  • #6
Ok :) thanks for your help. glad to be a part of the community now.
 
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FAQ: Finding work with displacement and weight.

How do displacement and weight affect finding work?

Displacement and weight are important factors in determining the amount of work required to move an object. The greater the displacement and weight, the more work that is needed to move the object.

How can I calculate work using displacement and weight?

Work can be calculated by multiplying the force applied to an object by the displacement of the object in the direction of the force. The weight of the object can be used as the force in this equation.

What is the relationship between displacement and weight?

Displacement and weight are related in that both affect the amount of work required to move an object. However, displacement refers to the distance the object is moved, while weight refers to the force of gravity acting on the object.

How can I use displacement and weight to find the minimum amount of work needed?

To find the minimum amount of work needed, you can use the concept of mechanical advantage. By using a simple machine, such as a lever or pulley, you can decrease the amount of force needed to move an object and therefore decrease the amount of work required.

How does displacement and weight relate to efficiency in performing work?

The relationship between displacement and weight can impact the efficiency of performing work. If an object has a large displacement and weight, it may require more energy and effort to move, resulting in lower efficiency. However, by using mechanical advantage, the efficiency can be increased by reducing the displacement and weight needed to perform the work.

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