**Title: Calculating the Net Gravitational Force on Mass A****Objective:**To determine the magnitude of the net gravitational force acting on mass A due to masses B and C.**Figure:**The diagram displays two arrangements labeled (a) and (b). Each setup consists of three masses aligned linearly and labeled A, B, and C. Each mass is 4.00 kg.- In both arrangement (a) and (b): - Masses A, B, and C are separated by a distance of 40 cm from each other.**Problem Statement (Part A):**Find the magnitude of the net gravitational force on mass A due to masses B and C in the configuration shown in figure (a). Express your answer in newtons (N) using three significant figures.**Instructions:**1. Analyze the forces acting on mass A due to masses B and C.2. Calculate the gravitational forces using the universal law of gravitation.3. Combine the forces vectorially to find the net gravitational force on mass A.4. Input your answer in the provided field and submit for evaluation.This exercise aims to reinforce concepts of gravitational force calculations and vector addition. **Part C**Find the magnitude of the net gravitational force on mass \( A \) due to masses \( B \) and \( C \) in the figure (b).**Express your answer in newtons.**\[ F = \, \text{______} \, \text{N} \]*Submit* [Request Answer]---**Diagram Explanation:**The diagram on the left shows two masses, \( B \) and \( C \), positioned around mass \( A \). The purpose is to calculate the gravitational forces exerted by \( B \) and \( C \) on \( A \), and find the net force.- Mass \( A \) is centrally located.- Masses \( B \) and \( C \) are shown adjacent to mass \( A \).The problem is likely part of a physics exercise on gravitational forces, requiring the use of the gravitational equation to solve for the net force experienced by mass \( A \). The accompanying tools and boxes are for inputting and submitting the calculated result.

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Description: **Title: Calculating the Net Gravitational Force on Mass A****Objective:**To determine the magnitude of the net gravitational force acting on mass A due to masses B and C.**Figure:**The diagram displays two arrangements labeled (a) and (b). Each set

It is given that, in figure a the distance between mass A and mass C is, rc1=10 cm=0.1 m, and the distance between mass B and mass A is, rB1=(40+10) cm=50 cm=0.5 m. in figure b the distance between mass A and mass C is, rc2=10 cm=0.1 m, and the distance between mass B and mass A is, rB2=40 cm=0.4 m. The mass of each of the bodies is the same. Thus, MA=MB=MC=4 kg=M It is required to find the net gravitational force on mass A due to mass B and mass C in both cases. We know that the gravitational force on mass m due to mass M is, F=GMmr2 Here G is the gravitational constant with a value of 6.67 × 10-11 m3.kg-1.s-2, and r is the distance between the masses.A) Given that C and B have masses to the right of A, their gravitational pull will be in the same general direction, resulting in an addition of forces. F=FAB+FAC⇒F=GMAMBrB12+GMAMBrC12⇒F=GM21rB12+1rC12 =6.67 × 10-11 m3.kg-1.s-2×4 kg2 1(0.1 m)2+1(0.5 m)2 =1.11×10-7 NC) The force will be as follows for the figure b since the masses B and C are on the opposite side of A: F=FAC-FAB⇒F=GMAMBrC22-GMAMBrB22⇒F=GM21rC22-1rB22 =6.67 × 10-11 m3.kg-1.s-2×4 kg2 1(0.1 m)2-1(0.4 m)2 =1.04×10-5 NA) The net gravitational force on A due to B and C is 1.11×10-7 N. B) The net gravitational force on A due to B and C is 1.05×10-5 N.

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Each mass is 4.00 kg. (Figure 1) Figure (a) (b) TO 10 cm- TO OX 10 cm *O* 40 cm 40 cm < 1 of 1 - Part A Find the magnitude of the net gravitational force on mass A due to masses B and C in the figure (a). Express your answer in newtons using three significant figures. IVE ΑΣΦ F= Submit Request Answer ? N

Each mass is 4.00 kg. (Figure 1) Figure (a) (b) TO 10 cm- TO OX 10 cm O 40 cm 40 cm < 1 of 1 - Part A Find the magnitude of the net gravitational force on mass A due to masses B and C in the figure (a). Express your answer in newtons using three significant figures. IVE ΑΣΦ F= Submit Request Answer ? N

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Question

**Title: Calculating the Net Gravitational Force on Mass A**

**Objective:**
To determine the magnitude of the net gravitational force acting on mass A due to masses B and C.

**Figure:**
The diagram displays two arrangements labeled (a) and (b). Each setup consists of three masses aligned linearly and labeled A, B, and C. Each mass is 4.00 kg.

- In both arrangement (a) and (b):
- Masses A, B, and C are separated by a distance of 40 cm from each other.

**Problem Statement (Part A):**
Find the magnitude of the net gravitational force on mass A due to masses B and C in the configuration shown in figure (a). Express your answer in newtons (N) using three significant figures.

**Instructions:**
1. Analyze the forces acting on mass A due to masses B and C.
2. Calculate the gravitational forces using the universal law of gravitation.
3. Combine the forces vectorially to find the net gravitational force on mass A.
4. Input your answer in the provided field and submit for evaluation.

This exercise aims to reinforce concepts of gravitational force calculations and vector addition.

**Part C**

Find the magnitude of the net gravitational force on mass \( A \) due to masses \( B \) and \( C \) in the figure (b).

**Express your answer in newtons.**

\[ F = \, \text{______} \, \text{N} \]

*Submit* [Request Answer]

---

**Diagram Explanation:**

The diagram on the left shows two masses, \( B \) and \( C \), positioned around mass \( A \). The purpose is to calculate the gravitational forces exerted by \( B \) and \( C \) on \( A \), and find the net force.

- Mass \( A \) is centrally located.
- Masses \( B \) and \( C \) are shown adjacent to mass \( A \).

The problem is likely part of a physics exercise on gravitational forces, requiring the use of the gravitational equation to solve for the net force experienced by mass \( A \). The accompanying tools and boxes are for inputting and submitting the calculated result.

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