The quantity that is proportional to force in Newton’s Universal law of gravitation.

Question

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Answer 1

Question

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

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The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE ONLY TRIGNOMETRIC FUNCTIONS (SIN/TAN/COS, NO LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!

The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE DO NOT USE LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!

Answer 2

Question

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

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Answer 3

Question

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

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Answer 4

Question

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

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Answer 5

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

Answer 6

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.

Answer 7

Chapter 4, Problem 1QP

To determine

The quantity that is proportional to force in Newton’s Universal law of gravitation.

Answer 8

Expert Solution & Answer

Answer to Problem 1QP

Option (a) proportional to both masses.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Write the formula for Newton’s Universal Law of Gravity

Fgrav=G×M1M2r2

Here, Fgrav is the force due to gravity, G is the Universal gravitational constant, M1 and M2 are the masses and r is the distance between the masses.

Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.

Conclusion:

Force is proportional to both masses. Thus, option (A) is correct.

Force is not proportional to the radius. Thus, option (B) is incorrect.

Force is not proportional to the radius squared. Thus, option (C) is incorrect.

Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.