Solving 2-Force Work and Kinetic Energy Problems

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Homework Help Overview

The discussion revolves around calculating work done by two forces acting on an object and understanding the relationship between work and kinetic energy. The original poster presents a specific scenario involving two forces of 21 N each acting at angles, and a second scenario involving a car decelerating to a stop.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the calculation of work using the formula W=Fnet*d and question how to apply it with two angles. There is discussion about calculating the components of forces in the direction of movement and whether to consider both forces or just one in the calculations.

Discussion Status

Some participants have offered guidance on how to approach the problem, suggesting the addition of force components. There is an ongoing exploration of how to correctly apply the work formula in the context of the given angles and forces, with some participants expressing uncertainty about the calculations.

Contextual Notes

Participants note the importance of converting units correctly, as one individual realized a mistake in using km/hr instead of m/s. There is also a question regarding the implications of angles on the work done, particularly whether the work could be zero due to a 90-degree angle between forces.

shimizua
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Homework Statement


What is the work done by the two forces together in moving an object a distance of d = 9 m as shown in the diagram? The magnitude of each force is 21 N.
There is a picture that comes with this
http://capa-new.colorado.edu/teacher/capalibrary/Graphics/Gtype12/prob39.gif

Homework Equations


So i know that W==Fnet*d but i am unsure of how to do it with two angles. i also know that work can be found by W=Fcos(theta)d and i have tried both and neither seem to work. I also have a second question that is similar
With brakes fully applied, a 1430 kg car deccelerates from a speed of 83.0 km/hr. What is the work done by the braking force in bringing the car to a stop?

So the way i tried to find this was by doing W=mad and that came up as wrong.

and a second part to that question is
What is the change in kinetic energy of the car

I know that KEI+PEI=KEF+PEF
so would i just do 1.2mvsquared to find the KEF?
 
Last edited:
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The forces simply add.
Calculate each force in the direction of 'd' ( this is equvialent to the length of F in that direction) then add them for the total force.
 
so for the first question i should do
(21cos(45)*9)+(21cos(45)*9)?
 
oh nm about the second question i figured out what was wrong. i forgot to make it in m/s and kept it in km/hr. my bad
 
please can someone help me!
 
Isn't the change in KE just the initial ke of the car, since it has no ke at the end.
 
i figured out that second part already, it was the first part that was giving me trouble. the part about what is the work done by the two forces together. i mean would it be 0J since it is technically a 90deg angle?
 
ok so i was told to do W=Fdcos(theta) but what i am not sure of is do i basically multiply by 2 cause there are two angles or do i just do the one?
 

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