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.
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).