Calculating Work Done by Friction on a 55kg Cart with 200N Horizontal Force

In summary, a 200 Newtons horizontal force is applied to a 55 kg cart across a 10 meter surface. The cart accelerates at 2 meters/second squared and the work done by friction is 900 Joules. To determine the force of friction and work done, a free body diagram should be used to analyze the forces acting on the cart and the distance over which friction acts should be considered.
  • #1
williamx11373
21
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a horizontal force of 200 Newtons is applied to a 55 kg cart across a 10 meter surface. If the cart accelerates at 2 meters/second squared, then what is the work done by the force of friction as it acts to retard the motion of the cart ??

Work= FX
work= maX

55 kg x 2 x 10 = 1100 - 200 N = 900 Joules ??
 
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  • #2
williamx11373 said:
a horizontal force of 200 Newtons is applied to a 55 kg cart across a 10 meter surface. If the cart accelerates at 2 meters/second squared, then what is the work done by the force of friction as it acts to retard the motion of the cart ??

Work= FX
work= maX

55 kg x 2 x 10 = 1100 - 200 N = 900 Joules ??
Oddly enough your answer is correct. But I have no idea what you are doing.

Do a free body diagram. What are the forces acting? What do these necessarily sum to? That will allow you to determine the force of friction. Over what distance does the force of friction act? That force x the distance over which it acts gives you the work done by friction.

AM
 
  • #3


Your calculation is correct. The work done by friction on the cart can be calculated using the formula Work = Force x Distance. In this case, the force of friction is equal to the force applied to the cart, which is 200N, and the distance is 10 meters. Therefore, the work done by friction is 200N x 10m = 2000 Joules. This means that 2000 Joules of energy is being converted into heat due to the friction between the cart and the surface.
 

FAQ: Calculating Work Done by Friction on a 55kg Cart with 200N Horizontal Force

1. How do you calculate the work done by friction on a 55kg cart with a 200N horizontal force?

The work done by friction can be calculated by multiplying the force of friction by the displacement of the cart in the direction of the force. In this case, the formula would be W = Fd, where W is the work done, F is the force of friction, and d is the displacement of the cart.

2. What is the unit of measurement for work done?

The unit of measurement for work done is joules (J). This is equivalent to a force of one newton acting over a distance of one meter.

3. How can you determine the force of friction on the cart?

The force of friction can be determined by using the formula Ff = μN, where Ff is the force of friction, μ is the coefficient of friction, and N is the normal force (equal to the weight of the cart in this case).

4. Is the work done by friction positive or negative?

The work done by friction is negative. This is because the force of friction always acts in the opposite direction of the displacement, resulting in negative work.

5. Can you calculate the work done by friction without knowing the displacement?

No, the displacement is a necessary component in the calculation of work done by friction. Without the displacement, the value of work done cannot be determined.

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