The earth exerts a gravitational force on a falling raindrop, pulling it down. (

Question

The earth exerts a gravitational force on a falling raindrop, pulling it down.


(a) Does the raindrop exert a gravitational force on the earth, pulling it up? If so, does this force have a magnitude that is greater than, less than, or equal to that of the force that the earth exerts on the raindrop?
The raindrop exerts an upward-directed gravitational force on the earth; this force has the same magnitude as the downward-directed gravitational force that the earth exerts on the raindrop.
The raindrop exerts an upward-directed gravitational force on the earth; this force has a greater magnitude than the downward-directed gravitational force that the earth exerts on the raindrop.
The raindrop exerts an upward-directed gravitational force on the earth; this force has a smaller magnitude than the downward-directed gravitational force that the earth exerts on the raindrop.
The raindrop exerts no gravitational force on the earth.




A raindrop has a mass of 5.90 10-7 kg and is falling near the surface of the earth (radius = 6.38 106 m, mass = 5.98 1024 kg).


(b) What is the algebraic expression for the magnitude Fraindrop of the gravitational force exerted by the earth on the raindrop? Express your answer in terms of the universal gravitational constant G, the mass mraindrop of the raindrop, the mass mearth of the earth, and the radius rearth of the earth. (Answer using G to be the gravitational constant, m_e to be the mass of the earth, m_r to be the mass of the raindrop, and r to be the radius of the earth.)
Fraindrop =


(c) What is the magnitude Fraindrop of the gravitational force exerted by the earth on the raindrop?
Number Unit
Fraindrop =


(d) What is the expression for the magnitude Fearth of the gravitational force exerted by the raindrop on the earth? Express your answer in terms of the universal gravitational constant G, the mass mraindrop of the raindrop, the mass mearth of the earth, and the radius rearth of the earth. (Answer using G to be the gravitational constant, m_e to be the mass of the earth, m_r to be the mass of the raindrop, and r to be the radius of the earth.)
Fearth =


(e) What is the magnitude Fearth of the gravitational force exerted by the raindrop on the earth?
Number Unit
Fearth =

Explanation / Answer

A) Equal, considering this force is rather minuscule and the mass of the Earth is so great, there is next to no Earth movement

B) F=Gmrme/r2

C) F = 6.67300 × 10-11 x 5.9 x 10-7 x 5.98 x 1024/ 4.07 x 1013

= 5.782 x 10-6

D) Same as above B

E) Same as above C

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.