How Is the Work Done by Friction Calculated on an Inclined Plane?

In summary, a 500 kg crate is pushed a distance of 3.0 m up a 30° incline by a constant external force of 4000 N in a time interval of 9.2 s, resulting in a change in velocity from 1.0 m/s to 2.8 m/s. To find the work done by the friction force, one must calculate the work done by the force, the work done to bring the crate from a lower to a higher region, and the work done to increase its velocity, and then subtract them from each other.
  • #1
behzad82
1
0
a 500 kg crate is on a rough surface inclined at 30°. A constant external force
P = 4000 N is applied horizontally to the crate. The force pushes the crate a distance of 3.0 m up the
incline, in a time interval of 9.2 s, and the velocity changes from ν1 = 1.0 m/s to ν2 = 2.8 m/s. The
work done by the friction force is closest to:

I have no idea how to start this. I tried just using the regular work equation or conservation of energy and did not find the answer.
 
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  • #2
You are posting this in the wrong forum.

Anyway, find the work done by the force, then find the work done to bring it from a lower to a higher region, to increase the velocity, etc. , and just minus off all of them to find the work done to overcome friction.
 

FAQ: How Is the Work Done by Friction Calculated on an Inclined Plane?

1. What is friction?

Friction is the force that resists the relative motion between two surfaces that are in contact with each other. It is caused by the irregularities and roughness of the surfaces and can act in the opposite direction of an object's motion.

2. How is work done by friction calculated?

The work done by friction can be calculated by multiplying the force of friction by the displacement of the object in the direction of the force. This can be expressed as W = Fd, where W is the work done, F is the force of friction, and d is the displacement.

3. What are the factors that affect the amount of work done by friction?

The amount of work done by friction is affected by the coefficient of friction, the normal force between the two surfaces, and the displacement of the object. The coefficient of friction is determined by the nature of the two surfaces in contact, while the normal force and displacement are dependent on the weight and movement of the object.

4. How does the direction of motion affect the work done by friction?

The direction of motion has a significant impact on the work done by friction. When an object is moving in the same direction as the force of friction, work is considered to be done by friction. However, when the object is moving in the opposite direction of the force of friction, work is considered to be done on the object.

5. Is work done by friction always negative?

No, work done by friction can be either positive or negative depending on the direction of motion. When the object is moving in the same direction as the force of friction, work is positive. When the object is moving in the opposite direction, work is negative. However, in most cases, the work done by friction is negative as it opposes the motion of the object.

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