### Problem StatementTwo masses, one \(7.5 \times 10^9 \, \text{kg}\) and the other \(3.0 \times 10^9 \, \text{kg}\), are placed along the x and y axes respectively as shown in the figure below. What is the net gravitational force (magnitude and angle from x-axis) on the \(1.2 \times 10^9 \, \text{kg}\) mass located at the origin?### Diagram DescriptionThe diagram shows a coordinate system with:- A mass of \(1.2 \times 10^9 \, \text{kg}\) located at the origin (0,0).- A mass of \(7.5 \times 10^9 \, \text{kg}\) placed on the x-axis at a distance of \(5.0 \times 10^3 \, \text{m}\) from the origin.- A mass of \(3.0 \times 10^9 \, \text{kg}\) placed on the y-axis at a distance of \(2.0 \times 10^3 \, \text{m}\) from the origin.The x and y axes are marked as \(\hat{x}\) and \(\hat{y}\) respectively.### ExplanationTo solve the problem, you need to calculate the gravitational force exerted on the \(1.2 \times 10^9 \, \text{kg}\) mass by the other two masses and then find the net force:1. **Calculate the Force from Each Mass:** - Use Newton's law of universal gravitation: \( F = \frac{G \cdot m_1 \cdot m_2}{r^2} \) - Calculate \( F_{x} \) from the \(7.5 \times 10^9 \, \text{kg}\) mass. - Calculate \( F_{y} \) from the \(3.0 \times 10^9 \, \text{kg}\) mass.2. **Determine the Net Force:** - Find the vector sum of \( F_{x} \) and \( F_{y} \) to get the net force. - Use trigonometry to determine the angle from the x-axis.This calculation will give you the magnitude and direction

Answered: Image /qna-images/answer/0940bd87-1014-4b84-acee-02c57d5c2708.jpg

12) Two masses, one 7.5 × 109 kg and the other 3.0 × 109 kg, are placed along the x and y axes as shown in the figure below. What is the net gravitational force (magnitude and angle from x-axis) on the 1.2 x 109 kg mass located at the origin? 3.0 x 10° kg 2.0 x 103 m 7.5 x 10° kg 1.2 x 10° kg 5.0 x 103 m

12) Two masses, one 7.5 × 109 kg and the other 3.0 × 109 kg, are placed along the x and y axes as shown in the figure below. What is the net gravitational force (magnitude and angle from x-axis) on the 1.2 x 109 kg mass located at the origin? 3.0 x 10° kg 2.0 x 103 m 7.5 x 10° kg 1.2 x 10° kg 5.0 x 103 m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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