3) Tom Brady throws a touchdown pass at an initial speed of 60 miles/hour (mph).

Question

3) Tom Brady throws a touchdown pass at an initial speed of 60 miles/hour (mph). When the ball was released, it's initial velocity made an angle of 45° with respect to the ground. Assume that the NFL football has a mass of 400 grams, and is properly inflated. Question: Calculate the magnitude of the ball's total linear momentum, its linear momentum in the x-direction (Px), and its linear momentum in the y-direction (Py) when the ball was released. a) b) c) d) p = 10.9 kg·m/s; p,-7 kg·m/s; py-9 kg·m/s p = 10.73 kgem/s; p,-7.59 kgem/s; py7.59 kg·m/s p = 1073 kg·m/s; p: 759 kgem/s; py-759 kgem/s none of the above answers

Explanation / Answer

The correct answer is:

(b)p = 10.73 kg-m/s ; vix = 7.59 kg-m/s ; py = 7.59 kg-m/s

explanation

Given,

vi = 60 miles/hour = 26.82 m/s ; m = 400 g = 0.4 kg

theta = 45 deg

vix = vi cos(theta) = 26.82 m/s x cos45 = 18.96 m/s

viy = vi sin(theta) = 26.82 m/s x sin45 = 18.96 m/s

p = m vi = 0.4 x 26.82 = 10.73 kg-m/s

px = m vix = 0.4 x 18.96 = 7.59 kg-m/s

py = m viy = 0.4 x 18.96 = 7.59 kg-m/s

Hence (b)p = 10.73 kg-m/s ; vix = 7.59 kg-m/s ; py = 7.59 kg-m/s

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