Final answer:
The work done by the force of gravity on the lawnmower is equal to the weight of the lawnmower multiplied by the displacement.
Step-by-step explanation:
The work done by the force of gravity can be calculated using the formula:
Work = Force x Displacement x cos(angle)
In this case, the force of gravity is equal to the weight of the object multiplied by the acceleration due to gravity. Since the displacement is 12 m to the right, we can substitute the values into the formula:
Work = (Weight x g) x 12 x cos(0)
Since the object is displaced horizontally, the angle between the force of gravity and the displacement is 0 degrees, and cos(0) equals 1. Therefore, the work done by the force of gravity is equal to the weight of the object multiplied by the displacement:
Work = Weight x 12 m