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
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.
To calculate the work done by the gardener, we need to use the equation:
Work = Force x Distance
First, let's calculate the force exerted by the gardener using the formula:
Force = mass x acceleration
Given that the mass of the bag of soil is 5 kilograms and the acceleration rate is 4 m/s², we can substitute these values into the equation to find the force:
Force = 5 kg x 4 m/s² = 20 N
Now, we have the force (20 N) and the distance the gardener moved the bag of soil is 5 meters. Substituting these values into the work equation, we can calculate the work done:
Work = Force x Distance = 20 N x 5 m = 100 J
Therefore, the gardener did 100 joules of work in moving the 5 kilograms bag of soil to her flower bed.