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A 7.0 kg pipe is hung from a steel wire that is 2.5 m long and has a diameter of 0.75 mm. What is the tension in the wire?

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User Dirn
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1 Answer

7 votes

Final answer:

The tension in the wire is 68.6 N, calculated by multiplying the mass of the pipe (7.0 kg) by the acceleration due to gravity (9.8 m/s²).

Step-by-step explanation:

The tension in a steel wire can be determined by understanding that the tension is a force which must support the weight of the object hanging from the wire. In this case, a 7.0 kg pipe is hanging from the wire. To find the tension, we use the concept of weight, which is the force due to gravity acting on an object, given by the formula weight (W) = mass (m) multiplied by the acceleration due to gravity (g), which is approximately 9.8 m/s² on the surface of Earth.

The mass of the pipe is given as 7.0 kg, and using the formula W = m × g, we can calculate the tension in the wire:

Tension (T) = 7.0 kg × 9.8 m/s²

T = 68.6 N

This 68.6 N is the tension in the steel wire caused by the pipe hanging from it.

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User Well
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