Finding Work from Angle, Mass, and Displacement

In summary, to find the work done by a flight attendant pulling a 73.8 N flight bag a distance of 306 m at a constant velocity of 42.4 N at an angle of 60.1◦ above the horizontal, you would use the equation W=Fx * ∆X where Fx is equal to 42.2Cos60.1 and ∆X is equal to 306. This would result in a work of 6437J being done on the flight bag.
  • #1
Joel M
4
0

Homework Statement


A flight attendant pulls her 73.8 N flight bag
a distance of 306 m along a level airport floor
at a constant velocity. The force she exerts is
42.4 N at an angle of 60.1◦ above the horizon-
tal.
a) Find the work she does on the flight bag.
Answer in units of J.

Homework Equations


W=Fx * ∆X

The Attempt at a Solution


42.2Cos60.1=Fx=21.036
21.036*42.2=Work?

I found the displacement in the X direction and multiplied by total displacement to get work. This doesn't seem right to me. Any help?
 
Last edited:
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  • #2
Welcome to PF!

Hi Joel M! Welcome to PF! :smile:

(have a delta: ∆ and try using the X2 tag just above the Reply box :wink:)
Joel M said:
42.2Cos60.1=Fx=21.036
21.036*42.2=Work?

I found the displacement in the X direction and multiplied by total displacement to get work. This doesn't seem right to me.

hmmm … :confused:

and what happened to the 306? :wink:
 
  • #3


tiny-tim said:
Hi Joel M! Welcome to PF! :smile:

hmmm … :confused:

and what happened to the 306? :wink:

Oh, thanks got it now. (42.2)Cos(60.1)(306) = 6437J
 

Related to Finding Work from Angle, Mass, and Displacement

1. How do you determine the angle, mass, and displacement needed for finding work?

To determine the angle, mass, and displacement needed for finding work, you will need to use the equation W = Fdcosθ, where W is work, F is force, d is displacement, and θ is the angle between the force and displacement vectors. You will also need to know the mass of the object that is experiencing the force.

2. What is the unit of measurement for work?

The unit of measurement for work is joule (J). One joule is equal to the amount of work done when a force of one newton is applied over a distance of one meter.

3. Can you find work without knowing the angle, mass, or displacement?

No, in order to find work, you need to have all three components - angle, mass, and displacement. Without knowing at least one of these, you will not be able to accurately calculate the work done.

4. How is work related to energy?

Work and energy are closely related concepts. Work can be defined as the transfer of energy from one object to another. In other words, work is the result of applying a force over a distance, which results in the transfer of energy.

5. What are some real-life examples of utilizing the concept of work from angle, mass, and displacement?

Some real-life examples of utilizing the concept of work from angle, mass, and displacement include pushing a shopping cart, lifting weights, and throwing a ball. In all of these scenarios, work is being done by applying a force over a distance and transferring energy to the object.

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