Question

A student wants to approximate the amount of work that the force due to gravity does on the student as the student walks up a set of stairs. Which of the following measurements must the student collect in order to approximate the amount of work done by Earth on the student?

a. The mass of the student.
b. The angle between the inclined portion of the stairs and the horizontal.
c. The total inclined length of the stairs.
d. The final vertical height above the initial vertical position.

Answer 1

Answer:

Options A and D

Explanation:

In this question the student needs to collect these measurements in order to approximate the work done

A. The mass of the student

D. The final vertical height above the initial vertical position.

Workdone = mgh

m = mass

g = gravity = 9.8m/s²

h = vertical height between the initial and the final positions.

The vertical height has to be known as gravity only acts straight down.

Answer 2

The measurements that the student must collect in order to approximate the amount of work done are:

• The mass of the student.
• The final vertical height above the initial vertical position.

The amount of work done is contingent upon the amount of Force (which is a product of mass and acceleration) as well as displacement produced in the direction in which the force is applied.

The work done by Earth on the student can be expressed by using the relation:

• W = Force (F) × displacement (ΔS)
• W = mass × acceleration × vertical height showing the displacement.

Therefore, we can conclude that the measurements that the student must collect in order to approximate the amount of work done are:

• The mass of the student.
• The final vertical height above the initial vertical position.

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