The tension on box A is 117.6 N
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What is Equilibrium of Forces ?</h3>
Equilibrium is a state of an object with respect to a given observable quantity during the time for which there is no change in that quantity.
A body is said to be in equilibrium when:
- the body as a whole either remains at rest or moves in a straight line with constant speed.
- the body is either not rotating at all or is rotating at a constant angular velocity.
Given that box A has a mass of 20.0kg and Box B has a mass of 30.0kg. Box A is placed on a horizontal surface that is frictionless and Box B is hanging from a pulley by a rope connected to Box A.
The tension in the rope will be the same.
Given that Box A is placed on a horizontal surface that is frictionless, that is,
T = ma .... (1)
Also, Box B is hanging from a pulley by a rope connected to Box A. That is,
W - T = ma ...... (2)
Where W = mg
Since the acceleration of the system is 5.88m/s² which will be the same for the two equations, then the Tension T on Box A can be calculated by substituting acceleration and mass into equation (1)
T = 20 x 5.88
T = 117.6 N
Therefore, the tension on box A is 117.6 N
Learn more about Equilibrium of Forces here: brainly.com/question/517289
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