Work Done on Supertanker: Solve Problem w/ 1.4x10^6 N Tugboats

In summary, the conversation is about a problem involving two tugboats pulling a disabled supertanker a distance of 0.610 km toward the north. Each tugboat exerts a constant force of 1.4×10^6 N, one at an angle 11 degrees west of north and the other at an angle 11 degrees east of north. The question is asking for the total work done by the tugboats, which can be calculated by finding the force components in the same direction as the displacement and multiplying by the distance. The answer is 1 676 619.23 joules.
  • #1
gazza347
1
0
WORK DONE problem!

Can someone pleeease solve this problem for me!

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.4×10^6 N, one at an angle 11 degrees west of north, and the other at an angle 11 degrees east of north, as they pull the tanker a distance 0.610 km toward the north.

What is the total work done by the two tugboats on the supertanker? (in joules)
 
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  • #2
1 676 619.23 J

//Really quick scratch work before I race out the door. Don't quote me on that.
 
  • #3
Calculate the force components in the same direction of the displacement. Then you have two forces and a distance...
 

1. What is the purpose of the tugboats in solving the problem with the supertanker?

The tugboats are used to provide an external force on the supertanker in order to change its velocity and direction, ultimately solving the problem of moving the large and heavy vessel.

2. How much force does each tugboat need to exert on the supertanker to achieve the desired result?

Each tugboat needs to exert a force of 1.4x10^6 N (newtons) in order to effectively move the supertanker.

3. What factors contribute to the difficulty of moving a supertanker?

The size and weight of the supertanker, as well as the resistance of the water, all contribute to the difficulty of moving a supertanker. The tugboats must overcome these factors in order to successfully move the supertanker.

4. Can tugboats be replaced with other types of vessels in this scenario?

Yes, depending on the situation, other types of vessels such as barges or smaller ships may be used to provide an external force on the supertanker and achieve the desired result.

5. How does the force exerted by the tugboats affect the speed and direction of the supertanker?

The force exerted by the tugboats will cause a change in the velocity and direction of the supertanker, according to Newton's Second Law of Motion (F=ma). The larger the force, the greater the change in speed and direction of the supertanker.

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