Formula's/equations provided for question **Instruction:**3) A scale model of the Earth-Moon system is shown below with the Earth on the left and the Moon on the right. Create a free body diagram for the Moon to show how Newton’s Second Law is obeyed by the Moon.**Explanation:**- You should draw a diagram representing the Moon and the forces acting on it. - **Newton’s Second Law** states that the force acting on an object is equal to the mass of that object multiplied by its acceleration (F=ma).- In the Earth-Moon system, the primary force acting on the Moon is gravitational force exerted by the Earth.- **Free Body Diagram:** - Represent the Moon as a circle. - Draw an arrow pointing towards the Earth to symbolize the gravitational force. - Label the gravitational force vector as \( F_{\text{gravity}} \).- Ensure the force vector is pointing towards the Earth to indicate the direction of gravitational pull.This model helps illustrate how the gravitational force causes the Moon to move in its orbit, adhering to Newton’s Second Law. **Constants:**- Gravitational Constant (G): \(6.67 \times 10^{-11} \, \frac{\text{Nm}^2}{\text{kg}^2}\)- Mass of the Sun (\(M_{\text{Sun}}\)): \(1.989 \times 10^{30} \, \text{kg}\)**Moon:**- Period of orbit around Earth (\(T_{\text{moon around Earth}}\)): 27.3 days- Mass (\(M_{\text{moon}}\)): \(7.34 \times 10^{22} \, \text{kg}\)- Average distance to Earth (\(r_{\text{Moon to Earth}}\)): \(3.84 \times 10^{8} \, \text{m}\)- Radius from center to surface (\(r_{\text{Moon center to Moon surface}}\)): \(1.74 \times 10^{6} \, \text{m}\)**Earth:**- Period of orbit around Sun (\(T_{\text{Earth around Sun}}\)): 365.25 days- Mass (\(M_{\text{Earth}}\)): \(5.97 \times 10^{24} \, \text{kg}\)- Average distance to Moon (\(r_{\text{Earth to Moon}}\)): \(3.84 \times 10^{8} \, \text{m}\)- Radius from center to surface (\(r_{\text{Earth center to Earth surface}}\)): \(6.37 \times 10^{6} \, \text{m}\)

Name: Formula's/equations provided for question **Instruction:**3) A scale m
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Formula's/equations provided for question **Instruction:**3) A scale model of the Earth-Moon system is shown below with the Earth on the left and the Moon on the right. Create a free body diagram for the Moon to show how Newton’s Second Law is obeyed

In this question we have to draw the free body diagram for the moon to show how Newton's Second Law is obeyed by the moon.Solution: We are given the following scale model of the Earth-Moon system with the earth on the left and the moon on the right: The Free-body diagram for the Moon will be given as follows: Fg←·→FcTherefore,Fg=Fcwhere, Fg is the gravitational force and, Fc is the centripetal force