Gravitational Potential & Potential Energy — A/L Physics

How do I practise Gravitational Potential & Potential Energy?

1 question with a worked solution

1. What is the gravitational potential V at a distance r from the center of a spherical planet of mass M, taking infinity as the zero-potential reference point?
   1. A) V = - GM / r²
   2. B) V = - GM / r
   3. C) V = - ½ GM / r
   4. D) V = + GM / r
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   Correct answer: B) V = - GM / r

   Gravitational potential V at a point is defined as the work done by an external agent per unit mass in bringing a test mass from infinity to that point without acceleration. Since gravity is an attractive central force, V = - ∫_∞^r (F/m) dr = - GM / r.

   Show worked solution

   Step 1: Definition of potential: V = - ∫_∞^r (-GM / r'²) dr' = -GM / r. Answer: V = - GM / r.
   Modelled on: the A/L Physics examination pattern

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Where does Gravitational Potential & Potential Energy fit in the syllabus?

Unit 5.3 · Year 1 · Term 3