What is the tension of the rope connecting the two masses? Tension of a rope: Two masses are connected by a rope are being pulled along a frictionless floor by a force of 10 N. The first mass is 2 kg and the trailing mass is 4 kg.

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You should evaluate the mass of the system such that:

M = m_1 + m_2 = 2+4 = 6Kg

The problem provides the information that the force that acts on the system of masses is of 10 N.

You should remember the Newton's second law of motion such that:

`F = M*a`

Substituting 10 for F and 6 for M yields:

`10 = 6*a =gt a = 10/6 =gt a = 5/3`

`a ~~ 1.6`

You may evaluate the tension in the rope that connects the masses such that:

`F = 7*1.6 =gt F = 11.2N`

Hence, evaluating the tension in rope that connects the masses yields `F = 11.2N.`

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