A gardener uses a wheelbarrow to move 20 kilograms of soil from a compost pile to a flower bed, a distance of 53 meters. The

Question

wheelbarrow has a mass of 17 kilograms. He expends 94.5 Newtons of force. How much work does the gardener do?(1 point)
3,496.5 N
135.4 N
1,961 N
5,008.5 N

Answer 1

To calculate the work done by the gardener, we can use the formula:

Work = Force x Distance

First, we need to calculate the total mass being moved, which is the mass of the soil plus the mass of the wheelbarrow:

Total mass = Mass of soil + Mass of wheelbarrow
Total mass = 20 kg + 17 kg
Total mass = 37 kg

Now, we can calculate the total force needed to move the total mass (F_total), which includes the force needed to overcome gravity:

F_total = Total mass x acceleration due to gravity
F_total = 37 kg x 9.8 m/s^2
F_total = 362.6 N

Since the gardener is expending 94.5 N of force, we'll subtract that from the total force:

F_grd = F_total - 94.5 N
F_grd = 362.6 N - 94.5 N
F_grd = 268.1 N

Finally, we can calculate the work done by the gardener using the formula:

Work = Force x Distance
Work = 268.1 N x 53 m
Work = 14,195.3 Nm or Joules

Therefore, the gardener does 14,195.3 Joules of work. None of the given answer options match this calculation exactly, but the closest one is 13,496.5 N.