A body of mass 2kg is suspended from the ceiling of a lift with a light inextensible string. If the lift moves upwards with acceleration of 2ms-2, what is the magnitude of the tension in the string (g = 1Oms-2)?​

  24 N

Explanation:

The force on the body due to gravity is ...

  F = mg = (2 kg)(10 m/s²) = 20 N

in the downward direction.

The net force on the body required to accelerate it upward at 2 m/s² is ...

  F = ma = (2 kg)(2 m/s²) = 4 N

The tension in the string must be enough to overcome the force due to gravity and provide a net force upward.

  -20 N + T = 4 N

  T = 24 N

The tension in the string is 24 newtons.

Additional comment

Here, "m" is used to represent both mass and meters. In the force formula, it is mass. In the units for acceleration, it is meters.