Calculate The Work Done by A 47 N
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Work is a fundamental concept in physics that measures the energy transferred when a force acts upon an object to cause displacement. This calculator helps you determine the work done by a 47 N force, explaining the relationship between force, displacement, and angle.
What is Work in Physics?
In physics, work is defined as the product of the component of the force acting on an object and the displacement of the object in the direction of that force. Work is only done when there is a displacement of the object in the direction of the applied force.
Work is a scalar quantity, meaning it has magnitude but no direction. It is measured in joules (J) in the International System of Units (SI).
Work Formula
The work done by a constant force can be calculated using the following formula:
W = F × d × cos(θ)
Where:
- W is the work done (in joules, J)
- F is the magnitude of the force (in newtons, N)
- d is the displacement of the object (in meters, m)
- θ is the angle between the force vector and the displacement vector (in degrees)
The cosine term accounts for the angle between the force and displacement vectors. If the force and displacement are in the same direction, θ = 0° and cos(θ) = 1. If they are perpendicular, θ = 90° and cos(θ) = 0, meaning no work is done.
Worked Example
Let's calculate the work done by a 47 N force that moves an object 5 meters at an angle of 30° to the direction of motion.
W = 47 N × 5 m × cos(30°)
cos(30°) ≈ 0.866
W = 47 × 5 × 0.866 ≈ 202.95 J
This means the work done is approximately 202.95 joules.
Units of Work
The SI unit of work is the joule (J), which is equivalent to newton-meter (N·m). Other units include:
- Erg (1 erg = 10-7 J) - used in some fields of physics
- Foot-pound (ft·lbf) - used in engineering and everyday applications
- Kilowatt-hour (kWh) - used for large-scale energy consumption
FAQ
What is the difference between work and energy?
Work is the process of transferring energy from one system to another, while energy is the capacity to do work. Work is a process, and energy is a property of an object or system.
Can work be negative?
Yes, work can be negative if the force and displacement are in opposite directions. The negative sign indicates that energy is being transferred out of the system rather than into it.
What happens if the angle between force and displacement is 90°?
If the angle is 90°, the cosine of the angle is 0, meaning no work is done. This occurs when the force is perpendicular to the direction of motion.