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Colt1911 [192]
3 years ago
14

Jerome plays middle linebacker for South's varsity football team. In a game against cross-town rival North, he delivered a hit t

o North's 82-kg running back, changing his eastward velocity of 5.6 m/s into a westward velocity of 2.5 m/s.
Physics
1 answer:
anygoal [31]3 years ago
5 0

Explanation:

We have,

Mass of the running back, m = 82 kg

Initial speed of the running back, u = +5.6 m/s

Final speed of the running back, v = -2.5 m/s

It is required to find the momentum change of the running back. For this we will subtract final momentum to the initial momentum. So,

\Delta p=m(v-u)\\\\\Delta p=82\times (-2.5-5.6)\\\\\Delta p=-664.2\ kg-m/s

So, the magnitude of the change in momentum of the running back is 664.2 m/s in west direction.

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a) -2.038 m/s²

b) 40.33 mph

c) 312.5 m

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-25^2}{2\times 150}\\\Rightarrow a=-2.083\ m/s^2

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v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times -1\times 150+25^2}\\\Rightarrow v=18.03\ m/s

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The distance at which the boat will have to start decelerating is 312.5 m

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