a student does 314 J of work in moving a desk 2.1 m. What was the magnitude of the applied horizontal force?
Work = F*Distance, so
F = Work/Distance
The answer will be in Newtons, if Work is in J and distance is in meters
i got 659.4. i don't think that's right
To find the magnitude of the applied horizontal force, you need to use the work formula, which is given by:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of work done (in joules, J)
- Force is the applied force (in newtons, N)
- Distance is the distance the object is moved (in meters, m)
- θ is the angle between the applied force and the direction of motion (since it's horizontal, θ = 0°)
Given:
- Work (W) = 314 J
- Distance (d) = 2.1 m
- θ = 0° (since it's horizontal)
Plugging in the values into the formula:
314 J = Force × 2.1 m × cos(0°)
Since cos(0°) = 1, the formula simplifies to:
314 J = Force × 2.1 m × 1
Now, isolate the force by dividing both sides of the equation by 2.1 m:
Force = 314 J / 2.1 m
Calculating:
Force = 149.05 N
Therefore, the magnitude of the applied horizontal force is approximately 149.05 N.