Question

MSE 860 Students Only: Aliens visiting Earth are fascinated by soccer. They are able to vary Planck's constant h to ensure that a soccer player kicking a penalty shot cannot hit the goal with any confidence Assume that the width of the goal is 7.3 m, the ball is kicked at a velocity of 35 m s1, the ball has a mass of 450 g, and the ball travels a distance of 11 m. What value of h is required? (Hint: there are two uncertainties: the width of the goal and the transverse momentum of the kicked ball) 1.

Answer 1

from plancks uncertainity relation

$\Delta x \times \Delta p_x \geq h$

so h = 7.3 x 0.45 x 35 = 114.975 kg m^2 /s

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