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iogann1982 [59]
2 years ago
14

A cannon fires a shell toward a target with a momentum of 6750 kg m/s. This shell moves with a velocity of 150 m/s. Calculate

Physics
1 answer:
Juliette [100K]2 years ago
3 0

Answer:

<h2>45 kg</h2>

Explanation:

The mass of the shell can be found by using the formula

m =  \frac{p}{v}  \\

p is the momentum

v is the velocity

From the question we have

m =  \frac{6750}{150}  =  \frac{675}{15}  \\

We have the final answer as

<h3>45 kg</h3>

Hope this helps you

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Part(a): The equation of motion is \bf{x(t) = \dfrac{7}{5}~e^{-2t} - \dfrac{2}{5}~e^{-7t}}.

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Explanation:

If 'm' be the mass of the object, 'k' be the force constant and '\beta' be the damping constant, then the equation of motion of the particle can be written as

\dfrac{d^{2}x}{dt^{2}} + \dfrac{\beta}{m} \dfrac{dx}{dt} + \dfrac{k}{m}x= 0.........................................(I)

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m^{2} + 9m + 14 = 0............................................................(II)

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x(t) = C_{1}~e^{-2t} + C_{2}~e^{-7t}....................................................................(III)

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v(t) = -2C_{1}~e^{-2t} _7~C_{2}~e^{-7t}..............................................................(IV)

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C_{1} = -1~and~C_{2} = \dfrac{11}{5}

So the equation of motion is

x(t) = -e^{-2t} + \dfrac{11}{5}~e^{-7t}

3 0
3 years ago
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