The tension of the left rope is 98N and tension of the right rope is 29.4N if two boxes are connected by a rope passing over a pulley .
We know very well when two masses are attached by a pulley,the only force acting on the blocks is the force due to gravity. Tension is measured in newtons. Also, since different masses are attached on both ends of pulley due to that tension generated in the rope are different.
We know force due to gravity is equal to =mg where m is defined as the mass and g is defined as the acceleration due to gravity.
Now, mass of left block is =10kg.Therefore,tension in left rope=mg
=>Tension in left rope=10×9.8
=>Tension in left rope=98N
Similarly, mass of right block is =3kg.Therefore,tension in right rope=mg
=>Tension in right rope=3×9.8
=>Tension in right rope=·29.4N
Hence, required tensions are 98N and 29.4N
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