Laws Of Motion Question 2
Question 2 - 24 January - Shift 1
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 :
(1) Both statement I and statement II are false
(2) Statement I is true but Statement II is false
(3) Both Statement I and Statement II are true
(4) Statement I is false but Statement II is true
Show Answer
Answer: (2)
Solution:
Formula: Elevator Problem
Statement-1
When elevator is moving with uniform speed $T=F_g$
Statement-2
When elevator is going down with increasing speed, its acceleration is downward.
Hence
$ W-N=\frac{W}{g} \times a $
$N=W(1-\frac{a}{g})$ i.e. less than weight.
