A gardener moves 5 kilograms bag of soil at an average acceleration rate of 4 m / s to her flower bed , a distance of 5 meters . How much work does the gardener do ? Equations Distance , Force mass Wofk = Forcex acceleration

1 answer

The equation for work is actually:

Work = Force x Distance x Cos(theta)

where theta is the angle between the force and the direction of motion.

In this case, we are assuming that the gardener applies a force in the same direction as the displacement, so theta=0 and Cos(theta)=1. Therefore, the equation simplifies to:

Work = Force x Distance

To find the force, we can use Newton's second law:

Force = Mass x Acceleration

Substituting the given values, we get:

Force = 5 kg x 4 m/s^2 = 20 N

So the work done by the gardener is:

Work = Force x Distance = 20 N x 5 m = 100 J

Therefore, the gardener does 100 joules (J) of work.