A body of mass 2 kg is hung on a spring balance mounted vertically in a lift. If the lift descends with an acceleration equal to the acceleration due to gravity ‘g’, the reading on the spring balance will be
Correct Answer :
Zero
Solution :
The correct answer is Zero.
Let us analyze the forces acting on the body of mass inside the lift.
When the body is hung on a spring balance inside a lift, the spring balance measures the apparent weight (or the tension in the spring) of the body.
When the lift is descending (moving downwards) with an acceleration , the equation of motion for the body can be written by applying Newton's second law of motion:
Rearranging the equation to solve for the tension (which represents the reading on the spring balance):
According to the question, the lift descends with an acceleration equal to the acceleration due to gravity, which means:
Substituting into the equation for tension:
Since the tension in the spring balance is zero, the reading on the spring balance will be Zero. This state is commonly known as weightlessness or free fall.
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