How to find the amount of work done on an object

In summary: And g is the acceleration due to gravity, 9.81 m/s2, so what is the weight of the book, mg? And lifting it a tota vertical distance of 3.5 m (NOT 1.1+ 3.5 m. Do you see why?) what work is done on the book? work=force(netdisplacement)=mg*(.35) work=2.2(.35)*9.81(m/s2)=27.6kN
  • #1
itsmarasilly
24
0

Homework Statement



A student librarian picks up a 2.2 kg book from the floor to a height of 1.10 m. He carries the book 7.9 m to the stacks and places the book on a shelf that is 0.35 m above the floor. How much work does he do on the book?

Homework Equations



work=force(netdisplacement)=mg*(.35)

The Attempt at a Solution


work = ?(7.9-1.1)
work = ?(6.8) = 2.2(.35)
 
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  • #2
itsmarasilly said:

Homework Statement



A student librarian picks up a 2.2 kg book from the floor to a height of 1.10 m. He carries the book 7.9 m to the stacks and places the book on a shelf that is 0.35 m above the floor. How much work does he do on the book?

Homework Equations



work=force(netdisplacement)=mg*(.35)

The Attempt at a Solution


work = ?(7.9-1.1)
work = ?(6.8) = 2.2(.35)

Only the displacement parallel to the force matters. Thus it was correct for you to use 0.35 meters in your equation. Now, tell us: what is m? what is g? what is mg?
 
  • #3
olgranpappy said:
Only the displacement parallel to the force matters. Thus it was correct for you to use 0.35 meters in your equation. Now, tell us: what is m? what is g? what is mg?

m = 1.10 or 7.9
g = 2200
mg = 2,200,000
 
  • #4
itsmarasilly said:
m = 1.10 or 7.9
g = 2200
mg = 2,200,000

I think you've missed the point. g is not grams here, it's g gravity.

The work done on an object is the dot product of the Force acting on the object and the distance over which it acts.

What oldgranpappy was trying to convey is that you should be only considering the forces that acted on the book along the direction over which work was done against a force.

For instance work in picking up something against gravity is the product of its weight and the height that you pick it up to. How far you carry it, since that direction is perpendicular to the force of gravity, then does not affect the amount of work against gravity.
 
  • #5
itsmarasilly said:
m = 1.10 or 7.9
no.
m is not 1.10 or 7.9.

m is the mass of the book. what is the mass of the book?
 
  • #6
olgranpappy said:
no.
m is not 1.10 or 7.9.

m is the mass of the book. what is the mass of the book?

2.2 kg
 
  • #7
And g is the acceleration due to gravity, 9.81 m/s2, so what is the weight of the book, mg?

And lifting it a tota vertical distance of 3.5 m (NOT 1.1+ 3.5 m. Do you see why?) what work is done on the book?
 

What is work?

In scientific terms, work is defined as the force applied to an object multiplied by the distance over which the force is applied. Mathematically, it can be represented as W = F x d.

How do I calculate the amount of work done on an object?

To calculate the amount of work done on an object, you need to know the force applied to the object and the distance over which the force is applied. Simply multiply the force by the distance to find the work done.

What units are used to measure work?

The SI unit for work is the Joule (J), which is equivalent to 1 Newton-meter (N*m). Other commonly used units include calorie (cal) and foot-pound (ft*lb).

Can work be negative?

Yes, work can be negative. This occurs when the force and direction of motion are in opposite directions, resulting in a negative value for work.

How is work related to energy?

Work and energy are closely related concepts, with work being the transfer of energy from one object to another. The amount of work done on an object is equal to the change in energy of that object. This is represented by the equation W = ΔE, where ΔE is the change in energy.

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