Final answer:
To find the angle at which the force was directed when a woman does 236J of work dragging her trash can 24.4m to the curb using a force of 18.9N, we can use the formula θ = arccos(Work / (Force x Distance)).
Step-by-step explanation:
To find the angle at which the force was directed, we can use the formula:
Work = Force x Distance x cosθ
Given that the work done is 236J, the force is 18.9N, and the distance is 24.4m, we can rearrange the formula to solve for θ:
θ = arccos(Work / (Force x Distance))
Plugging in the values, we get:
θ = arccos(236J / (18.9N x 24.4m)
Calculating this expression will give us the angle in radians. To convert it to degrees, we multiply by 180° and divide by π:
θ (in degrees) = (arccos(236J / (18.9N x 24.4m)) * 180°) / π