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Chapter 12: Problem 62

Newton was holding an apple of mass \(100 . \mathrm{g}\) and thinking about the gravitational forces exerted on the apple by himself and by the Sun. Calculate the magnitude of the gravitational force acting on the apple due to (a) Newton, (b) the Sun, and (c) the Earth, assuming that the distance from the apple to Newton's center of mass is \(50.0 \mathrm{~cm}\) and Newton's mass is \(80.0 \mathrm{~kg}\).

Short Answer

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#tag_title# Question Calculate the magnitudes of the gravitational forces acting on a 100g apple due to Newton, the Sun, and the Earth.

Step by step solution

01

Calculate the gravitational force due to Newton

F_N = G * (m1 * m_N) / d_N^2 = (6.674 x 10^-11 N⋅m²/kg²) * (0.1kg * 80.0kg) / (0.5m)^2. ## Part (b): Gravitational force due to the Sun ##
02

Calculate the gravitational force due to the Sun

F_s = G * (m1 * m_s) / d_s^2 = (6.674 x 10^-11 N⋅m²/kg²) * (0.1kg * 1.989 x 10^30 kg) / (1.496 x 10^11 m)^2. ## Part (c): Gravitational force due to the Earth ##
03

Calculate the gravitational force due to the Earth

F_E = G * (m1 * m_E) / d_E^2 = (6.674 x 10^-11 N⋅m²/kg²) * (0.1kg * 5.972 x 10^24 kg) / (6.371 x 10^6 m)^2. After calculating the gravitational force for each case using the given values and the formula, we get the magnitudes of the gravitational forces acting on the apple due to Newton, the Sun, and the Earth.

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Most popular questions from this chapter

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