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A particle of mass 3.6 x 10\(^{-6}\)kg revolving around the earth has a radial acceleration...

Physics
WAEC 2024

A particle of mass 3.6 x 10\(^{-6}\)kg revolving around the earth has a radial acceleration of 4.3 x 10\(^7\)ms\(^{-2}\). Calculate the centripetal force of the particle.

  • A. 1.55 x 10\(^2\)N
  • B. 2.00 x 10\(^{-2}\)N
  • C. 6.25 x 10\(^{-14}\)N
  • D. 1.00 x 10\(^2\)N
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Correct Answer: Option A
Explanation

F = mass x acceleration due to gravity

F\(_c\) = m x a\(_c\)

a\(_c\) = a\(_r\) = 4.3 x 10\(^7\)ms\(^{-2}\), m = 3.6 x 10\(^{-6}\)kg

F\(_c\) = m x a\(_c\) = 3.6 x 10\(^{-6}\) x 4.3 x 10\(^7\) = 154.8N ≈ 155N ⇒ 1.55 x 10\(^2\)N


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