To determine the force applied to an object, we can use the work-energy principle. Work is defined as the product of the force applied to an object and the distance over which the force is applied, assuming the force is applied in the direction of the movement. The formula for work (W) done is:
[tex]\[ W = F \times d \][/tex]
where:
W = work done (in joules)
F = force applied (in newtons)
d = distance moved (in meters)
Given that 35 joules of work were done and the object moved 7 meters, we can rearrange the formula to solve for the force applied (F) as follows:
[tex]\[ F = \frac{W}{d} \][/tex]
Now we substitute the given values into the equation:
[tex]\[ F = \frac{35}{7} \][/tex]
When we divide 35 joules by 7 meters, we get:
[tex]\[ F = 5 \][/tex]
Therefore, the force applied to the object was 5 newtons.
