Given below are two statements:
Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II: Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below:

Question

Aicharya · Accepted Answer

When elevator is moving with uniform speed $T = F_{g}$ , as the net force along the vertical direction should be zero.

Therefore, Statement-I is true.

Now, when elevator is going down with increasing speed, its acceleration is downward.
Hence,

$W - N = m a \Rightarrow W - N = \frac{W}{g} \times a$

$\Rightarrow N = W (1 - \frac{a}{g})$

Clearly, normal reaction is less than weight. So Statement-II is false.

Given below are two statements: Statement-I: An elevator can go up or down with uniform speed when its…

Solution