Please refer to the picture for the formulas and constants that have to be used and shown in this problem.  It takes light about 1.25 second to reach the moon from Earth. The moon orbits Earth about once every 27.3 days. Part 1) Estimate the mass of Earth  Answer: Mass of earth is 5.6 x 1024 kg Part 2) The force of Earth's gravitational pull on the moon is about 2.0 x 10^20 N. Estimate the mass of the moon. Answer: Mass of moon is 7.5 x 1022  Part 3) The moon has a radius of 1.7 x 10^6 m. On the surface of the moon, what is the acceleration due to moon's gravity?  Answer: The acceleration of gravity on moon is 1.73 m/s^2 Part 4) How many g's is your answer to part c? Or what percentage of Earth's gravity would you experience on the moon?  Part 5) If you stood on the moon and jumped straight up with a velocity of 1.0 m/s, how long would it be before you landed back on the moon's surface?  Please answer parts 4 and 5. Please answer using the correct formula from this formula sheet. Thank you

College Physics
11th Edition
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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Please refer to the picture for the formulas and constants that have to be used and shown in this problem. 

It takes light about 1.25 second to reach the moon from Earth. The moon orbits Earth about once every 27.3 days.

Part 1) Estimate the mass of Earth 

Answer: Mass of earth is 5.6 x 1024 kg

Part 2) The force of Earth's gravitational pull on the moon is about 2.0 x 10^20 N. Estimate the mass of the moon.

Answer: Mass of moon is 7.5 x 1022 

Part 3) The moon has a radius of 1.7 x 10^6 m. On the surface of the moon, what is the acceleration due to moon's gravity? 

Answer: The acceleration of gravity on moon is 1.73 m/s^2

Part 4) How many g's is your answer to part c? Or what percentage of Earth's gravity would you experience on the moon? 

Part 5) If you stood on the moon and jumped straight up with a velocity of 1.0 m/s, how long would it be before you landed back on the moon's surface? 

Please answer parts 4 and 5. Please answer using the correct formula from this formula sheet. Thank you

Formulas
daug = AV > Vp = √₂ + aaug At
->
At
Vaug = 1/2 (V₂ + √₂)
Vaug = AX X₁ = X₁ + Vaug At
At
X²₁ = X₁ + √₂ At + ½ åst ²
2
2
V² = V₁² + 2aAx
F = ma
F₁ = M₁₂₁ FN
AR = V²
F₁B = - F₁A
BA
F₁ ≤ M₂ FN
FG = G m₁m₂
r²
f ===
T
O
Constants
C≈ 3 x 10³ m/s
9 = 9.8 m/s²
G = 6.7 x 10" Nm² / Kg ²
Units
t = 5
x = m
✓ = m/s
a = m/s²
m = 19
F² = N
T= 3
f = H₂ = 1/s
Geometry
A = lw
A = 1/2 bh
A = πTr ²
C=2 TTC
Tuncertainty Propagation
C=dA →> 0c = |d0A
C = Aª² >> °C = |d² A
Ad
C = A±B20² = 0 ² ² + 0 ²₁₂
ога
C=AB or C => 04
A
न्ह
B
C²
A²
+
B
B²
Transcribed Image Text:Formulas daug = AV > Vp = √₂ + aaug At -> At Vaug = 1/2 (V₂ + √₂) Vaug = AX X₁ = X₁ + Vaug At At X²₁ = X₁ + √₂ At + ½ åst ² 2 2 V² = V₁² + 2aAx F = ma F₁ = M₁₂₁ FN AR = V² F₁B = - F₁A BA F₁ ≤ M₂ FN FG = G m₁m₂ r² f === T O Constants C≈ 3 x 10³ m/s 9 = 9.8 m/s² G = 6.7 x 10" Nm² / Kg ² Units t = 5 x = m ✓ = m/s a = m/s² m = 19 F² = N T= 3 f = H₂ = 1/s Geometry A = lw A = 1/2 bh A = πTr ² C=2 TTC Tuncertainty Propagation C=dA →> 0c = |d0A C = Aª² >> °C = |d² A Ad C = A±B20² = 0 ² ² + 0 ²₁₂ ога C=AB or C => 04 A न्ह B C² A² + B B²
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