Consider the following two situations. A car is traveling around a turn of radiu

Question

Consider the following two situations. A car is traveling around a turn of radius R with a constant speed v. The same car now navigtes a turn with half the original radius of curvature and half the speed. The centripetal acceleration,

Is less for the first turn.

Is the same for both turns.

Depends on the mass of the car so one can not tell.

Is less for the second turn.

Is less for the first turn.

Is the same for both turns.

Depends on the mass of the car so one can not tell.

Is less for the second turn.

Explanation / Answer

centripetal acceleration is given as

a = v2/r

case 1:

a1 = v2/R

case 2:

a2 = (v/2)2/(R/2)

a2 = v2/2R = a1/2

Is less for the second turn.

Is less for the second turn.

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