Which of the following factors does not affect the work done against gravity when a person climbs a staircase?
A. the person's speed
B. the height of the staircase
C. the person's mass
D. acceleration due to gravity
I think the answer is A.
correct, A
You are correct. The factor that does not affect the work done against gravity when a person climbs a staircase is A. the person's speed. The work done against gravity is determined by the height of the staircase (B), the person's mass (C), and the acceleration due to gravity (D), but not by the person's speed.
To determine which of the given factors does not affect the work done against gravity when a person climbs a staircase, let's analyze each option:
A. The person's speed: When climbing a staircase, the person's speed is not a factor that affects the work done against gravity. The work done against gravity is determined by the change in height, not by the speed at which the person climbs. Therefore, option A is correct.
B. The height of the staircase: The height of the staircase directly affects the work done against gravity. The higher the staircase, the greater the work required to climb it against gravity.
C. The person's mass: The person's mass does affect the work done against gravity. The greater the mass of the person, the more work is required to lift that mass against gravity.
D. Acceleration due to gravity: The acceleration due to gravity is a constant value and does not change when a person climbs a staircase. However, it does affect the work done against gravity. It determines the force of gravity pulling the person downward, which in turn affects the work done in counteracting that force.
Therefore, the correct answer is A. The person's speed does not affect the work done against gravity when climbing a staircase.