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 - Work = Force x Distance, Force = mass x acceleration
First, we need to calculate the force exerted by the gardener. We can do this by using the equation:
Force = mass x acceleration
In this case, the mass is 5 kilograms and the acceleration is 4 m/s^2, so:
Force = 5 kg x 4 m/s^2 = 20 N
Now that we know the force, we can use the equation:
Work = Force x Distance
The distance moved is 5 meters, and the force is 20 N, so:
Work = 20 N x 5 m = 100 J
Therefore, the gardener does 100 joules of work when moving the 5 kg bag of soil.
To find the work done by the gardener, we need to use the equation:
Work = Force x Distance
The force can be calculated using the equation:
Force = mass x acceleration
Given that the mass is 5 kilograms and the acceleration is 4 m/s, we can substitute these values into the equation to find the force:
Force = 5 kg x 4 m/s = 20 kg*m/s^2
Now, we can substitute the force and distance (5 meters) into the work equation to calculate the work done:
Work = Force x Distance = 20 kg*m/s^2 x 5 meters = 100 kg*m^2/s^2
Therefore, the gardener does 100 kilogram-meter squared per second squared (kg*m^2/s^2) of work.