A boy pushes a book by applying a force of 40N.Find the work done by the force ,if the book is displaced by 25cm along the path.
Assume the force and the direction of motion are the same. Then use the definition of work.
Work =FORCE X DISPLACRMENT
,W=40X25
,W=1000J
To find the work done by a force, you can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of energy transferred by a force, measured in joules (J).
- Force is the magnitude of the force applied, measured in newtons (N).
- Distance is the displacement along the path, measured in meters (m).
- θ (theta) is the angle between the direction of the force and the direction of the displacement. In this case, assuming the force is applied in the same direction as the displacement, θ would be 0 degrees.
First, convert the distance from centimeters to meters:
Distance = 25 cm = 25/100 m = 0.25 m
Now, using the given force of 40 N and the displacement of 0.25 m, we can calculate the work done:
Work = Force × Distance × cos(θ)
= 40 N × 0.25 m × cos(0°)
Since cos(0°) = 1, the equation simplifies to:
Work = 40 N × 0.25 m × 1
= 10 J
Therefore, the work done by the force is 10 joules (J).