2) How much force was used to move a box 42m if 13,734 J of work was done on it?
3)If the same amount of work was dodne as in problem #2, and the force on the box was 121 N, how far would the box be moved?
To solve these problems, we can use the work-energy principle. The formula for work done is:
Work = Force x Distance
Let's start with problem #2.
2) How much force was used to move a box 42m if 13,734 J of work was done on it?
Given:
Work = 13,734 J
Distance = 42 m
We need to find the force. Rearranging the formula, we have:
Force = Work / Distance
Plugging in the values we have:
Force = 13,734 J / 42 m
Force = 326.43 N
So, the force used to move the box over 42 m is 326.43 N.
Moving on to problem #3.
3) If the same amount of work was done as in problem #2, and the force on the box was 121 N, how far would the box be moved?
Given:
Work = 13,734 J
Force = 121 N
We need to find the distance. Rearranging the formula, we have:
Distance = Work / Force
Plugging in the values we have:
Distance = 13,734 J / 121 N
Distance = 113.68 m
So, if the force on the box is 121 N and the same amount of work is done as in problem #2, the box would be moved approximately 113.68 m.