Question

A car driver going at some speed upsilon suddenly finds a wide wall at a distance r. Should he apply brakes or turn the can in a circle of radius r to avoid hitting the wall?

Answer 1

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,          Friction ≥ mv²/r

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,          Friction ≥ mv²/r⇒ μmg ≥ mv²/r

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,          Friction ≥ mv²/r⇒ μmg ≥ mv²/r⇒ v ≤ √(μrg)

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,          Friction ≥ mv²/r⇒ μmg ≥ mv²/r⇒ v ≤ √(μrg)Means if the velocity of the car will be less than that of root of μrg then the drivers don't need to apply the brakes but if it is greater than that of this, then we must apply the brakes so to decelerates it and make it equal or less than the given value of velocity.

While moving in a car, If Car Drivers saw the wall at the distance of r then he need to turns the bike with some velocity such that Frictional Force can balances it otherwise car may collapsed with the wall.Let us derive the mathematical expression for that.     In case of the Motion around the cut,          Friction ≥ mv²/r⇒ μmg ≥ mv²/r⇒ v ≤ √(μrg)Means if the velocity of the car will be less than that of root of μrg then the drivers don't need to apply the brakes but if it is greater than that of this, then we must apply the brakes so to decelerates it and make it equal or less than the given value of velocity.Hope it helps.

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Answer 2

The force needed to apply brakes is just half of the force required to take the circular turn, it is better to apply brakes.

Explanation:

Let F1 be the braking force, so as to stop the car just in the distance r.  

Then,

Work done by the braking force = kinetic energy of the car

or F1 x r = 1/2 mv2

or F1 = (mv2) / 2r           -------(1)

Let F2 be th force required (centripetal force force) for taking a circular turn of radius r.

Then,

F2 = mv^2 / r     ------- (2)

From the equations (1) and (2), we have

F1 = 1/2 F2

Since the force needed to apply brakes is just half of the force required to take the circular turn, it is better to apply brakes.