The average force exerted on the Earth by the sun using Newton’s law of gravitation.

Question

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Answer 1

Question

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

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Answer 2

Question

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

Answer 6

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

Answer 7

Chapter 5, Problem 5SP

(a)

To determine

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

Answer 8

(a)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the sun is $3.53×1022 N$ .

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of Earth is $5.98×1024 kg$ . The average distance between the Earth and the sun is $1.50×1011m$ .

Write the mathematical expression for Newton’s law of universal gravitation.

$F=Gm1m2r2$ (1)

Here,

$F$ is the gravitational force between the two masses $m1$ and $m2$

$G$ is the universal gravitational constant

$r$ is the distance between the two masses $m1$ and $m2$

The value of $G$ is $6.67×10−11 N⋅m2/kg2$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(5.98×1024 kg)(1.50×1011m)2=3.53×1022 N$

Conclusion:

Thus, the average force exerted on the Earth by the sun is $3.53×1022 N$ .

Answer 13

(b)

To determine

The average force exerted on the Earth by the moon.

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

Answer 14

(b)

To determine

The average force exerted on the Earth by the moon.

Answer 15

(b)

Expert Solution

Answer to Problem 5SP

The average force exerted on the Earth by the moon is $2.01×1020 N$ .

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Given Info: The mass of Earth is $5.98×1024 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the Earth and the moon is $3.82×108m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $7.36×1022 kg$ for $m1$ , $5.98×1024 kg$ for $m2$ and $3.82×108m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(7.36×1022 kg)(5.98×1024 kg)(3.82×108m)2=2.01×1020 N$

Conclusion:

Thus, the average force exerted on the Earth by the moon is $2.01×1020 N$ .

Answer 20

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Answer 21

(c)

To determine

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

Answer 22

(c)

Expert Solution

Answer to Problem 5SP

The ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Find the ratio of the force exerted on the Earth by the sun to that exerted by the moon.

$FesFem=3.53×1022 N2.01×1020 N=175.62=175$

The value of the force exerted on the Earth by the sun is much greater than the force exerted on Earth by the moon. Therefore the moon will not have much of an impact on the orbit of Earth around sun.

Conclusion:

Thus, the ratio of the force exerted on the Earth by the sun to that exerted by the moon is $175:1$ and the moon will not have much of an impact on the orbit of Earth around sun.

Answer 27

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

Answer 28

(d)

To determine

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

Answer 29

(d)

Expert Solution

Answer to Problem 5SP

The average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Given Info: The mass of sun is $1.99×1030 kg$ and the mass of moon is $7.36×1022 kg$ . The average distance between the moon and the sun is $1.50×1011m$ .

Substitute $6.67×10−11 N⋅m2/kg2$ for $G$ , $1.99×1030 kg$ for $m1$ , $7.36×1022 kg$ for $m2$ and $1.50×1011m$ for $r$ in the above equation to find $F$ .

$F=(6.67×10−11 N⋅m2/kg2)(1.99×1030 kg)(7.36×1022 kg)(1.50×1011m)2=4.34×1020 N$

The Earth and sun exert strong forces on moon. This is because, even though the Earth is much closer to the moon than the sun is, the sun has much larger mass than the Earth. The force of the sun on moon keeps it to remain in the annual orbit about the sun as it moves along with the sun.

Conclusion:

Thus, the average force exerted on the moon by the sun is $4.34×1020 N$ and the sun will have some impact on the orbit of the moon about the Earth. Even though the earth is much closer to the moon than the sun the heavier mass of the sun makes more influence on the moon’s orbit.

Answer 34

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The average force exerted on the Earth by the sun using Newton’s law of gravitation.

The average force exerted on the Earth by the sun using Newton’s law of gravitation.

Answer to Problem 5SP

Explanation of Solution

The average force exerted on the Earth by the moon.

Answer to Problem 5SP

Explanation of Solution

The ratio of the force exerted on the Earth by the sun to that exerted by the moon and whether the moon will have much of an impact on the Earth’s orbit about the sun.

Answer to Problem 5SP

Explanation of Solution

The average force exerted on the moon by the sun and whether the sun will have much impact on the orbit of the moon about the Earth.

Answer to Problem 5SP

Explanation of Solution

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