If the original distance is halved to 1 m, what is the force exerted by the two bodies on each other (M1 = M2 = 5 kg)? Compare with the original force. Show calculation and units below: %3D F3 = (1N-m²/kg²)(5 kg)(5 kg)= (1.0 meter)? F3 = F1 %3D %3D By how much has it been increased?
If the original distance is halved to 1 m, what is the force exerted by the two bodies on each other (M1 = M2 = 5 kg)? Compare with the original force. Show calculation and units below: %3D F3 = (1N-m²/kg²)(5 kg)(5 kg)= (1.0 meter)? F3 = F1 %3D %3D By how much has it been increased?
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![## Educational Content on Gravitational Force and Kepler’s Laws
### Problem 2
#### Gravitational Force Calculation
**Question**: If the original distance is halved to 1 m, what is the force exerted by the two bodies on each other (M1 = M2 = 5 kg)? Compare with the original force. Show calculation and units below:
\[
F_3 = \left(\frac{1 \text{ N} \cdot \text{m}^2}{\text{kg}^2}\right)(5 \text{ kg})(5 \text{ kg}) = \frac{25}{(1.0 \text{ meter})^2} = 25 \text{ N}
\]
\[
F_3 = \frac{25 \text{ N}}{F_1} = \frac{25 \text{ N}}{F_1}
\]
**Answer**: By how much has it been increased? ________
### Problem 3
#### Velocity of a Body Near the Sun
**Question A**: What happens to the velocity of a body or planet as it approaches the sun?
**Answer**: ___________
**Question B**: What happens to the velocity of a body as it moves away from the sun?
**Answer**: ___________
### Kepler’s First Law
**Instruction**: Write Kepler’s First Law in your own words:
\[ \text{____________________________________________________________________} \]
#### Given the following elliptical path of a planet around the sun, note the three points on the orbit as P1, P2, and P3.
**Diagram Interpretation**:
- **Diagram Details**: The diagram shows an elliptical orbit with a minor and major axis. Foci are marked as F1 and F2.
- **Points on Orbit**: The three points on the elliptical orbit are labeled as P1, P2, and P3.
- **Axes**: The major axis is the longer one and intersects the ellipse through the foci. The minor axis is perpendicular to the major axis and the shortest distance across the ellipse inside.
- **Foci**: The diagram labels two foci F1 and F2, which are points around which the orbital path is centered.
**Instruction**:
1. Measure the distance of each point (P1, P2, P3) to the two foci (F1 and F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81152691-2184-4c83-8479-c547a590b68f%2F180a5cab-ec5e-40a3-b79f-8e902be4d048%2F7amb3g_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:## Educational Content on Gravitational Force and Kepler’s Laws
### Problem 2
#### Gravitational Force Calculation
**Question**: If the original distance is halved to 1 m, what is the force exerted by the two bodies on each other (M1 = M2 = 5 kg)? Compare with the original force. Show calculation and units below:
\[
F_3 = \left(\frac{1 \text{ N} \cdot \text{m}^2}{\text{kg}^2}\right)(5 \text{ kg})(5 \text{ kg}) = \frac{25}{(1.0 \text{ meter})^2} = 25 \text{ N}
\]
\[
F_3 = \frac{25 \text{ N}}{F_1} = \frac{25 \text{ N}}{F_1}
\]
**Answer**: By how much has it been increased? ________
### Problem 3
#### Velocity of a Body Near the Sun
**Question A**: What happens to the velocity of a body or planet as it approaches the sun?
**Answer**: ___________
**Question B**: What happens to the velocity of a body as it moves away from the sun?
**Answer**: ___________
### Kepler’s First Law
**Instruction**: Write Kepler’s First Law in your own words:
\[ \text{____________________________________________________________________} \]
#### Given the following elliptical path of a planet around the sun, note the three points on the orbit as P1, P2, and P3.
**Diagram Interpretation**:
- **Diagram Details**: The diagram shows an elliptical orbit with a minor and major axis. Foci are marked as F1 and F2.
- **Points on Orbit**: The three points on the elliptical orbit are labeled as P1, P2, and P3.
- **Axes**: The major axis is the longer one and intersects the ellipse through the foci. The minor axis is perpendicular to the major axis and the shortest distance across the ellipse inside.
- **Foci**: The diagram labels two foci F1 and F2, which are points around which the orbital path is centered.
**Instruction**:
1. Measure the distance of each point (P1, P2, P3) to the two foci (F1 and F
Expert Solution
Equation to find the magnitude of gravitational force.
Gravitational force when the distance is halved, that is 1 m.
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