Answered: Please refer to the picture for the…

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

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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

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.

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?

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 all parts.

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

Expert Solution

Introduction:

Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub parts to be solved.”

We are given the time period of moon and time light takes to reach earth. We use the gravitational force and this gravity provides centripetal force. We thus find the mass of earth from equating gravity to centripetal force. We can find the velocity of moon as we know moons time period. We then find the mass of moon when gravitational pull is given.

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