How much work is needed to move a 40 pound box a distance of 2 feet?
????-foot pounds

Answers

Answer 1

Answer:

80-foot pounds

Step-by-step explanation:

Answer 2

As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

What is work done?

In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.

To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:

Work = Force x Distance x Cos(theta)

where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.

Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:

Work = Force x Distance

We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:

Force = Mass x Acceleration due to gravity

where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.

Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:

Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs

Therefore, the force required to move the box is:

Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force

Finally, we can calculate the work needed to move the box a distance of 2 feet as:

Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds

Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.

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