To determine the work done by gravity as the person carries the rock from point A to point B, we need to calculate the change in gravitational potential energy.
The work done by gravity can be calculated using the equation:
Work = Force x Distance x cosθ
where:
Force is the weight of the rock (25.0 N),
Distance is the horizontal displacement from A to B (15 m), and
θ is the angle between the force and the displacement (θ = 0° because the force is acting vertically downwards and the displacement is horizontal).
Since cos(0°) = 1, the equation simplifies to:
Work = Force x Distance
Plugging in the values:
Work = 25.0 N x 15 m
Work = 375 J
Therefore, the work done by gravity as the person carries the rock from A to B is 375 joules.