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  • A cars moves around a curved road of radius at constant speed, what is the least radius that would now keep the car from

A cars moves around a curved road of radius R_1 at constant speed, what is the least radius that would now keep the car from sliding? (If we doubled the car's speed)

Option: 1

\quad 2 R_1


Option: 2

4 R_1


Option: 3

6 R_1


Option: 4

R_1


Answers (1)

best_answer

we know that, v=\sqrt{\mu R g}
where, \mu R g are constant.
\therefore v \propto \sqrt{R}
\frac{v_1}{v_2}=\sqrt{\frac{R_1}{R_2}}        .......(1)
Now, car's speed is doubled v_2=2 v_2

from (1)
 \frac{v_1}{2 v_2}=\sqrt{\frac{R_1}{R_2}}
\frac{v^2}{2 v^2}=\sqrt{\frac{R_1}{R_2}}

\Rightarrow \frac{1}{4}=\frac{R_1}{R_2} \\
R_2=4 R_1 \quad

Posted by

Devendra Khairwa

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