A woman does 340 J of work to move a table 4 m across the floor. What is the magnitude of the force that the woman applied to the table if this force is applied in the horizontal direction?
Since
Work = Force x (distance moved)
when force and motion are in the same direction,
Force = Work/distance
To find the magnitude of the force applied by the woman to the table, you can use the equation:
Work = Force × Distance
Given that the woman does 340 J of work, and the table is moved 4 m across the floor, we can substitute these values into the equation:
340 J = Force × 4 m
To find the magnitude of force, isolate the force variable by rearranging the equation:
Force = Work ÷ Distance
Substituting the given values:
Force = 340 J ÷ 4 m
Now, let's calculate the magnitude of the force:
Force = 85 N
Therefore, the magnitude of the force that the woman applied to the table, when applied in the horizontal direction, is 85 Newtons.