Find the force required to do 25 joule work when the force causes a displacement of 0.5 m
force = work / distance
To find the force required to do 25 joules of work when the force causes a displacement of 0.5 meters, we can use the formula for work:
Work = Force * Displacement * Cos(theta)
The formula for work indicates that work is equal to the force multiplied by the displacement multiplied by the cosine of the angle between the force and displacement vectors. In this case, we assume that the force and displacement are in the same direction, so the angle (theta) is 0 degrees, and the cosine of 0 degrees is 1.
Therefore, the formula simplifies to:
Work = Force * Displacement
Rearranging the formula, we can solve for the force:
Force = Work / Displacement
Plugging in the given values:
Force = 25 joules / 0.5 meters
Calculating:
Force = 50 Newtons
Therefore, the force required to do 25 joules of work when the force causes a displacement of 0.5 meters is 50 Newtons.