Final Answer:
This formula is correct for calculating torque when a force is applied perpendicular to the lever arm, as is the case when the lawyer pushes on the door. The answer is c) Torque = Force × (Distance × sin(θ)).
Step-by-step explanation:
The correct statement regarding the torque applied by the lawyer on the door is Torque = Force × (Distance × sin(θ))
Torque (τ) is the rotational analog of force, and its formula involves both force and the distance from the axis of rotation. In this case, the torque is created by the lawyer pushing on the door. The formula for torque is given by:
Torque (τ) = Force × Lever Arm × sin(θ)
Where:
- τ is the torque,
- Force is the force applied (48.5 N),
- Lever Arm is the perpendicular distance from the axis of rotation to the line of action of the force (1.35 m),
- θ is the angle between the force vector and the lever arm (90 degrees for a force applied perpendicular to the door).
So, the correct formula for torque is τ = 48.5 N × 1.35 m × sin(90°).