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How much work is done by a force of 10 N in moving an object to a distance of 1 m in a direction of the force?
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How much work is done by a force of 10 N in moving an object to a dist...
Understanding Work Done
Work is defined as the product of the force applied on an object and the distance over which that force is applied in the direction of the force. The formula for calculating work done (W) is:
W = F × d × cos(θ)
Where:
- W = Work done (in joules)
- F = Force applied (in newtons)
- d = Distance moved (in meters)
- θ = Angle between the force and the direction of motion
In this scenario:
Given Values
- Force (F) = 10 N
- Distance (d) = 1 m
- Angle (θ) = 0 degrees (since the object is moving in the direction of the force)
Since the force is applied in the direction of motion, cos(0) = 1.
Calculating Work Done
1. Substitute the values into the formula:
- W = 10 N × 1 m × cos(0)
2. Calculate:
- W = 10 N × 1 m × 1
- W = 10 joules
Conclusion
The work done by a force of 10 N in moving an object a distance of 1 m in the direction of the force is:
- 10 joules
This means that 10 joules of energy is transferred to the object as work is done. Understanding this principle is fundamental in physics as it relates to the transfer of energy through forces.
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How much work is done by a force of 10 N in moving an object to a distance of 1 m in a direction of the force?
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