1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# When the road is dry and coefficient of static friction is μ, the maximum speed of a car in the circular path is 10 ms−1. If the road becomes wet and μ′=μ2, what is the maximum permitted speed for the car?

A
5 ms1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10 ms1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
102 ms1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
52 ms1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 5√2 ms−1To avoid skidding while the road is wet, static friction will act at maximum value to provide the necessary centripetal force for circular path. So, we have f=μN=mv2maxR or, μmg=mv2maxR or, the maximum speed without skidding is vmax=√μRg ∴ v2maxv1max=√μ2μ1=√μ2μ=1√2 ⇒ v2max=v1max√2=10√2=5√2 ms−1

Suggest Corrections
34
Join BYJU'S Learning Program
Related Videos
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program