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.
10
To find the work done by a force, we can use the formula:
Work = Force * Distance * cos(theta)
where:
- Work is the work done by the force, measured in joules (J)
- Force is the applied force, measured in newtons (N)
- Distance is the displacement along the path, measured in meters (m)
- cos(theta) is the angle between the force and displacement vectors
In this case, the angle between the force and displacement vectors is not provided, so we assume that the force is applied in the same direction as the displacement, which means the angle theta is 0 degrees. In this case, cos(theta) = 1.
Plugging in the provided values:
- Force = 40 N
- Distance = 25 cm = 0.25 m
Using the formula, we can calculate the work done by the force:
Work = 40 N * 0.25 m * 1
= 10 J
Therefore, the work done by the force is 10 joules.
Work=Fd
F=40 N
X=25 cm
25cm=0.25 meters
Work=(40 N)(0.25 m)
W=10 Joules