Explanation Method 1: Write the expression for the radial acceleration of the Earth. a = v 2 r (I) Here, a is the radial acceleration of the Earth, v is the orbital velocity of the Earth, and r is the distance between the Sun and Earth. Write the expression for the force exerted by the Sun on Earth. F = M E a (II) Here, F is the force exerted by the Sun on Earth and M E is the mass of the Earth. Substitute equation (I) in equation (II) F = M E v 2 r (III) Method 2: Write the expression for the force exerted by the Sun on Earth. F = G M E M S r 2 (IV) Here, F is the gravitational force exerted by the Sun on Earth, M S is the mass of the Sun, r is the distance between the Earth and the Sun, G is the gravitational constant, and M E is the mass of the Earth. Conclusion: Method 1: Substitute 6.0 × 10 24 kg for M E , 3.0 × 10 4 m/s for v , and 1.5 × 10 11 m for r in equation (III) to find F . F = ( 6.0 × 10 24 kg ) ( 3.0 × 10 4 m/s ) 2 ( 1

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ISBN: 9781260486834

Author: GIAMBATTISTA

Publisher: MCG

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Chapter 5, Problem 34P

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Chapter 5, Problem 33P

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