Work done by gravity on a car rolling down a hill

  • #1
physicsmaster123
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Thread moved from the technical forums to the schoolwork forums
I tried E =Fxcos0 but only ended up with 243kJ
1694284850662.png
 
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  • #2
What values of ##F##, ##x##, and ##\theta## did you use and why?
 
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  • #3
Hint: What is the textbook definition of ##\theta## in the formula you stated?
 
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  • #4
physicsmaster123 said:
I tried E =Fxcos0 but only ended up with 243kJ
What distance in the diagram is ##50\cos(8°)##m?
 
  • #5
Specific to this exercise, ##W=\Delta E_P## is a better fit than ##W=Fd\cos \theta##
 
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1. How is work done by gravity on a car rolling down a hill calculated?

The work done by gravity on a car rolling down a hill is calculated by multiplying the force of gravity (weight of the car) by the distance the car travels down the hill. This can be represented by the equation W = Fd, where W is work, F is force, and d is distance.

2. Does the mass of the car affect the work done by gravity?

Yes, the mass of the car does affect the work done by gravity. The greater the mass of the car, the greater the force of gravity acting on it, resulting in more work being done as the car rolls down the hill.

3. How does the angle of the hill affect the work done by gravity on a car?

The angle of the hill does not directly affect the work done by gravity on a car rolling down it. However, a steeper hill may result in the car traveling a greater distance, which would increase the work done by gravity.

4. Is the work done by gravity on a car rolling down a hill positive or negative?

The work done by gravity on a car rolling down a hill is negative. This is because the force of gravity is acting in the opposite direction of the car's motion, resulting in negative work being done.

5. Can the work done by gravity on a car rolling down a hill be converted into other forms of energy?

Yes, the work done by gravity on a car rolling down a hill can be converted into other forms of energy, such as kinetic energy. As the car rolls down the hill, the work done by gravity is converted into the car's motion, resulting in an increase in kinetic energy.

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