Question

Find the work done when a constant force f = 13 lbs moves a chair from x = 2.4 to x = 4.1 ft. along the x -axis.

Answer 1

The work done in moving the chair from x = 2.4 to x = 4.1 ft using a force of F = 13 lbs is 29.98 J

What is work done?

This is simply defined as the product of force and distance moved in the direction of the force. Mathematically, it can be expressed as

Workdone (Wd) = force (F) × distance (d)

Wd = Fd

How to convert lb to N

1 lb = 4.45 N

Therefore,

13 lbs = 13 × 4.45

13 lbs = 57.85 N

How to determine the distance in m

• Initial distance = 2.4 ft
• Final distance = 4.1 ft
• Change in distance = 4.1 -2.4 = 1.7 ft

1 ft = 0.3048 m

Therefore,

1.7 ft = 1.7 × 0.3048

1.7 ft = 0.51816 m

How to determine the workdone

• Force (F) = 57.85 N
• Distance (d) = 0.51816 m
• Workdone (Wd) =?

Wd = Fd

Wd = 57.85 × 0.51816

Workdone = 29.98 J

Thus, the workdone in moving the chair is 29.98 J

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