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Ronch [10]
3 years ago
14

(A) State the relation between acceleration and momentum (10 marks).

Physics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

momentum is directly proportional to acceleration

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Answer:

Option C

Explanation:

Centripetal acceleration formula regarding velocity and radius is,

a_c=\frac{v^2}{r}

now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,

a_c=\frac{v^2}{r}\\\\9=\frac{v^2}{16} \\\\144=v^2\\\\\sqrt{144}=v \\\\v=12\ m/s

so velocity is 12 m/s

Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,

a_c=rw^2

we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,

a_c=rw^2\\\\9=16w^2\\\\0.5625=w^2\\\\\sqrt{0.5625}=w \\\\0.75\ rad/s=w\\

so angular velocity is 0.75 rad/s

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