A car goes around a curve traveling at constant speed. Is the acceleration of th

Question

A car goes around a curve traveling at constant speed. Is the acceleration of the car zero in this process? Explain. Yes, the acceleration is zero because the speed of the car is constant. Yes, but only if the road is banked so that the car can maintain a constant speed around the curve. No, the velocity of the car is continuously changing direction while on the curve so there is acceleration. Is there a non-zero net force acting on the car In this case? Explain. Yes, a non-zero net force is required to produce an acceleration. Yes, a non-zero net force is required for the car to maintain a constant speed with no acceleration as it goes around the curve. No, the car is not accelerating to the net force is equal to zero. Two equal forces act on two different objects, one of which has a mass ten times as large as the other. Will the more massive object have a Equal acceleration, or a smaller acceleration than the less massive object? Explain. The larger mass has a larger acceleration since the ratio of the accelerations will be proportional to the ratio of the masses. The acceleration of the larger mass is equal to the acceleration of the smaller mass since the ratio of the accelerations will be equal to the ratio of the masses. There is not enough information to determine the relative accelerations. The larger mass has a smaller acceleration since the ratio of the accelerations will be the inverse of the ratio of the masses. Suppose that a bullet is fired from a rifle in outer space where there are no appreciable forces due to gravity or air resistance acting on the bullet. Will the bullet slow down as it travels away from the rifle ? Explain. (Select all that apply.) No. Without any other force to change its motion, the bullet will continue moving undisturbed. The bullet's motion could be disturbed if something interacts with it. Yes, the bullet will eventually lose all of its energy, slow down, and eventually stop. No, the bullet will continue to accelerate until acted upon by another force.

Explanation / Answer

A. No acceleration causes a change in velocity (which has magnitude speed and direction). the velocity is changing, therefore there must be acceleration. B. Yes, since the car is accelerating, a force must be acting on the car. Technically, the answer is NO. If a body is moving around a curve (even at constant speed), its acceleration is given by the formula a = V^2/R where V = speed of the body R = radius of curvature The force acting on the body as it curves is F = m(V^2/R) notice that this is greater than zero hence, there is a non-zero force acting. A) even though, speed of the car is constant, for motion round the curve, the direction of velocity must keep on changing, hence the car will have accleration called centripetal or normal acceleration. so answer is NO B) the car must be acted upon by a force called the normal or centripetal force for keeping it in motion. hence the answer is YES.

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