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# A Car of Mass M is Moving on a Horizontal Circular Path of Radius R. at an Instant Its Speed is V and is Increasing at a Rate A. - Physics

ConceptCircular Motion

#### Question

A car of mass M is moving on a horizontal circular path of radius r. At an instant its speed is v and is increasing at a rate a.
(a) The acceleration of the car is towards the centre of the path.
(b) The magnitude of the frictional force on the car is greater than $\frac{\text{mv}^2}{\text{r}}$

(c) The friction coefficient between the ground and the car is not less than a/g.
(d) The friction coefficient between the ground and the car is $\mu = \tan^{- 1} \frac{\text{v}^2}{\text{rg}.}$

#### Solution

(b) The magnitude of the frictional force on the car is greater than $\frac{\text{mv}^2}{\text{r}}$

(c) The friction coefficient between the ground and the car is not less than a/g. If the magnitude of the frictional force on the car is not greater than $\frac{\text{mv}^2}{\text{r}}$ , it will not move forward, as its speed (v) is increasing at a rate a.

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Solution A Car of Mass M is Moving on a Horizontal Circular Path of Radius R. at an Instant Its Speed is V and is Increasing at a Rate A. Concept: Circular Motion.
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