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Anyone can help me please

Anyone can help me please-example-1

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Answer:

a) M = 504

b) r = ±8

Explanation:

Given that M is directly proportional to r²

Expressing this mathematically, we get

M ∝ r²

or M = k r², where K is a constant

we are given that r = 2 when M = 14, substitute these into the formula

M = kr²

14 = k (2)²

14 = k (4)

k = 14/4 = 3.5

hence our formula becomes M = 3.5 r²

a) when r = 12, M = 3.5 (12)² = 504

b) when M = 224

224 = 3.5 r²

r² = 224/3.5 = 64

r = √64

r = ±8

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