Question

A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1400 N. How much work is done by the truck in pulling the car 1 km? (Round your answer to the nearest ten thousand.)

Answer 1

The work is done by the truck pulling the car 1 km is 1,212,436 J

Step-by-step explanation:

Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.

So work is one of the forms of energy transmission between bodies. To perform a job, you must exert a force on a body and it moves.

In the International System of Units, work is measured in Joule. A Joule is the work that a constant force of 1 Newton does on a body that moves 1 meter in the same direction and direction as the force. Then, Joule is equivalent to Newton per meter.

The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves:

Work= Force*Distante* cos (θ)

In this case:

• Force= 1,400 N= 1,400
  `kg*(m)/(s^(2) )`

• Distance= 1 km= 1,000 m

• θ= Angle that exists between the direction of the force and the direction= 30°

Replacing:

Work= 1,400 N* 1,000 m* cos (30°)

Work= 1,212,435. 565 Joule≅ 1,212,436 J

The work is done by the truck pulling the car 1 km is 1,212,436 J