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Question

A string can sustain a maximum force of 200 N without breaking. A block of mass of 1 kg is tied to one end of the string of 2 m long and the mass is rotated in a horizontal circular path. The maximum linear speed of mass is (in m/s).

A
20 m/s
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B
10 m/s
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C
30 m/s
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D
5 m/s
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Solution

The correct option is A 20 m/s
Given, the mass of block (m)=1 kg
Length of string (l)=2 m
Tmax=200 N

As we know that, tension provides necessary centripetal force.

Tmax=mv2maxl

v2max=Tmax×lm

vmax=Tmax×lm=200×21=400=20 m/s

Hence option A is the correct answer

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