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evablogger [386]
3 years ago
6

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 1000

N. How much work is done by the truck in pulling the car 1 km? (Round your answer to the nearest ten thousand.) joules
Physics
1 answer:
statuscvo [17]3 years ago
6 0

To develop this problem it is necessary to apply the work theorem. This tells us that the energy on a body is equivalent to the product between the Force applied on it and the distance traveled. The vector product of these measures can be expressed as

W = \vec{F}\times \vec{x}

And its magnitude is equivalent to

W = Fx cos\theta

Where \theta is the angle formed between the applied force and the line of displacement of the body.

Our values are given as,

\theta = 30\°

F= 1500N

x = 1000m

Applying this value and replacing we have,

W = Fxcos\theta

W = (1500)(1000)cos(30)

W = 1.299*10^6J

Therefore the work done by the truck is 1.299 Mega Jules

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