Does 200 Foot-Pounds of Work Require More Work?

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In summary, work is the measure of energy transfer that occurs when a force is applied to an object and the object is displaced in the direction of the force. It is measured in units of joules (J) in the metric system, or foot-pounds (ft-lb) in the English system. Work is directly proportional to the amount of force applied to an object and the distance over which the force is applied, expressed as W = F x d. The work required will increase with a greater distance, as the force must be applied over a larger distance, resulting in more energy transfer. Additionally, 200 foot-pounds of work requires more work than 100 foot-pounds of work, as the former requires twice the amount of
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jonathan.15
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You lift a 50 lb weight by a distance of 4 ft so you do 200 foot-pounds of work. You then hold the weight and walk a horizontal distance of 4 feet, does this require an additional 200 foot-pounds of work? Please excuse the units, this question came from a calculus book.
 
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The simple answer would be ; no. This is because the force your hand applies perpendicular to the direction of motion of the weight. The definition of work involves a dot product, which is zero for 2 perpendicular vectors.
 

Related to Does 200 Foot-Pounds of Work Require More Work?

1. What is work?

Work is the measure of energy transfer that occurs when a force is applied to an object and the object is displaced in the direction of the force.

2. How is work measured?

Work is measured in units of joules (J) in the metric system, or foot-pounds (ft-lb) in the English system.

3. What is the relationship between work and force?

Work is directly proportional to the amount of force applied to an object and the distance over which the force is applied. This relationship is expressed as W = F x d, where W is work, F is force, and d is distance.

4. How does the work required change with a greater distance?

The work required will increase with a greater distance, as the force must be applied over a larger distance, resulting in more energy transfer.

5. Does 200 foot-pounds of work require more work than 100 foot-pounds of work?

Yes, 200 foot-pounds of work requires more work than 100 foot-pounds of work, as the former requires twice the amount of force or distance than the latter.

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