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Question :
A Bob is suspended with the help of a thread whose breaking load is twice the weight of the Bob. Taking g=10m/s² , what is the minimum time in which the Bob can be raised by 10m?
Answer:
Let's start from the given information,
Mass of the Bob (m) = x kg
Breaking strength = 2x kg wt
=> 2x * g
=> 2x (10)
=> 20x
Here, g is the acceleration due to gravity.
Let the maximum acceleration be as 'a'
So the breaking strength = mg + ma
20x = x*g + x*a
20x = 10x + ax
10x = ax
a = 10m/s²
So maximum acceleration allowed is 10m/s²
Height (h) = 10m
Initial velocity (u) = 0
Time taken = t (say)
According to the formula
h = ut + 0.5at²
10 = 0 + 0.5(10)t²
t² = 2
t = √2
So, the correct option is (C)
CoolestCat015:
Great :o
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