For now, the formula for the uncertainty in the momentum, give in mass delta m a

Question

For now, the formula for the uncertainty in the momentum, give in mass delta m and an uncertainty in velocity delta v, is delta p = [p(delta m/m + delta v/v). Using Eq (5.2), find the uncertainty in the momentum of the car. Write the momentum with its uncertainty, properly rounded. The momentum of an object can be determined at any instant in time. Frequently, physicists are also interested in the change in momentum experienced by an object. Rank the magnitude of the change in momentum of a ball from largest to smallest for the following situations: The ball is moving with constant velocity, hits a wall, and stops moving. The ball is moving with constant velocity, hits a wall and bounces back with its original speed. The ball is moving with constant velocity, misses the wall and continues onward, changing neither speed nor direction.

Explanation / Answer

From the given question,

Let the initial momentum of ball be mv

When it stops after hitting, the momentum will be 0 , as velocity is zero.

If the body bounces back , the new momentum will be -mv as it reverses the direction.

If it keeps moving with same velocity, the momentum will be mv.

change in momentum= final momentum - initial momentum

(a) change in momentum= 0-mv= -mv

(b) change in momentum= -mv -mv= -2mv

(c) change in momentum= mv - mv =0

If we take magnitude of change in momentum

largest is case (b)

then is case(a)

and least is case (c)

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