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Tension in a String

A horizontal ...

Question

A horizontal force of 100 N pulls two masses 5 kg and 10 kg tied to each other by a light string. What is the tension in the string if the force is applied on 10 kg mass?

A

23 N

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B

30 N

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C

33.3 N

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D

43 N

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Solution

The correct option is C
33.3 N

a = F/(m₁ + m₂) = 100/15 = 20/3 ms^-2

F - T = ma

100 - T = 10 x 20/3

T = 100 - 20/3 = 33.3 N

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