Solving 2-Force Work and Kinetic Energy Problems

AI Thread Summary
The discussion focuses on calculating the work done by two forces acting on an object and the work done by braking forces on a car. For the first problem, the user is unsure how to apply the work formula W = Fd cos(theta) with two angles and is confused about whether to consider both forces or just one. In the second problem, the user initially miscalculated the work done by the braking force due to incorrect unit conversion from km/hr to m/s but later clarified that the change in kinetic energy is simply the initial kinetic energy since the final kinetic energy is zero. The user ultimately seeks confirmation on whether the work done by the two forces is zero due to their 90-degree angle. The conversation highlights the importance of understanding vector components and unit conversions in physics problems.
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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?
 
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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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