a small car of mass mmm and a large car of mass 4m4m drive along a highway at constant speed. they approach a curve of radius rrr . both cars maintain the same acceleration aaa as they travel around the curve. how does the speed of the small car vsvsv s compare to the speed of the large car vlvlv l as they round the curve?



Answer :

the speed of the small car vs compares to the speed of the large car vl they round the curve is equal that's why vL=vS.

The first car has mass =m

The second car has mass = 4m

They are driving at a constant speed

the radius of the curve is R

Both cars maintain the same acceleration.

Let the velocity of the small car be vS

The velocity of the big car is vL

From centripetal acceleration

a=V²/R

V²=aR

Then since both cars have the same accelerating and bashing through the same curve of radius R

Then, We can say, V² is constant

vL² = vS²

Then take the square root of both side

vL=vS

The price of trade of the position of an object in any path. speed is measured because of the ratio of distance to the time wherein the distance was blanketed. velocity is a scalar quantity as it has the best route and no importance.

the velocity (usually referred to as v) of an object is the significance of the alternate of its position over the years or the magnitude of the change of its position according to a unit of time; its miles accordingly a scalar amount. The common velocity of an object in a c programming language of time is the space traveled by way of the object divided through the duration of the interval; the instantaneous velocity is the restriction of the common velocity because the length of the time c programming language approaches 0. velocity isn't the same as velocity.

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