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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A car is moving on a circular level road of the radius of curvature $300 m$ . If the coefficient of friction is $0.3$ and acceleration due to gravity is $10 m s^{- 2}$ , the maximum speed the car can have is (in $km$ $h^{- 1}$ )

Options:

Answer:

Solution:

$r = 300 m$

$μ = 0.3$

$g = 10 {m s}^{- 2}$

$v_{max} = \sqrt{μ rg}$

$f_{s} \leq f_{s (m a x)}$

$\frac{m v^{2}}{r} \leq μ m g$

$v^{2} \leq μ r g$

$v \leq \sqrt{μ r g}$

$v_{m a x} = \sqrt{μ r g}$

$= \sqrt{(0.3) (300) (10)}$

$= 30 {m s}^{- 1}$

$= 108 km h^{- 1}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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