(a) Find the escape speed of a projectile from the surface of the Moon. (See the front of thetest for some numbers you may need here.)(b) Imagine you want to launch a package of mass 3kg from the surface of the Moon in sucha way that it will never come back, and when it is very far from the Moon it will still betraveling with a speed of 50 m/s. You have a large and powerful spring whose stiffness is6 × 10 N/m. How much do you have to compress the spring? Constants and other possibly useful numbersg = 9.8m/s?G = 6.67 × 10-11 Nm/kg?c= 3 x 10°m/sRadius of the Moon: 1.74 x 106mMass of the Sun: 2 x 1030kgRadius of the Sun: 6.957 x 10°mMass of an electron me =9.11 x 10-31kgMass of a proton mp1.67 x 10-27kg%3DAverage distance between the Moon and Earth:3.84 x 10 mAverage distance between Sun and Earth: 1.5 x1011mMass of Earth: 6 x 1024kgRadius of Earth: 6.4 x 106mMass of the Moon: 7.35 x 1022kgMoments of Inertia:R+ R2.MR²12I =Em;r? Iring = MIdisk =ML Igphere =M R= Icylinder =MR IrodI disk%3D%D%3D12The vector product or cross product between two vectors A and B can be calculated as follows:If you know the angle 0 between the two vectors, find the magnitude of the product |C| = |Ã × B| =|A||B| sin 0 and find the direction using the right-hand-rule.%3D

Answered: Image /qna-images/answer/96e35d71-ad0d-45d2-84f0-675f37f7a394.jpg

(a) Find the escape speed of a projectile from the surface of the Moon. (See the front of the test for some numbers you may need here.) (b) Imagine you want to launch a package of mass 3kg from the surface of the Moon in such a way that it will never come back, and when it is very far from the Moon it will still be traveling with a speed of 50 m/s. You have a large and powerful spring whose stiffness is 6 x 10° N/m. How much do you have to compress the spring?

(a) Find the escape speed of a projectile from the surface of the Moon. (See the front of the test for some numbers you may need here.) (b) Imagine you want to launch a package of mass 3kg from the surface of the Moon in such a way that it will never come back, and when it is very far from the Moon it will still be traveling with a speed of 50 m/s. You have a large and powerful spring whose stiffness is 6 x 10° N/m. How much do you have to compress the spring?

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

(a) Find the escape speed of a projectile from the surface of the Moon. (See the front of the
test for some numbers you may need here.)
(b) Imagine you want to launch a package of mass 3kg from the surface of the Moon in such
a way that it will never come back, and when it is very far from the Moon it will still be
traveling with a speed of 50 m/s. You have a large and powerful spring whose stiffness is
6 × 10 N/m. How much do you have to compress the spring?

Constants and other possibly useful numbers
g = 9.8m/s?
G = 6.67 × 10-11 Nm/kg?
c= 3 x 10°m/s
Radius of the Moon: 1.74 x 106m
Mass of the Sun: 2 x 1030kg
Radius of the Sun: 6.957 x 10°m
Mass of an electron me =9.11 x 10-31kg
Mass of a proton mp
1.67 x 10-27kg
%3D
Average distance between the Moon and Earth:
3.84 x 10 m
Average distance between Sun and Earth: 1.5 x
1011m
Mass of Earth: 6 x 1024kg
Radius of Earth: 6.4 x 106m
Mass of the Moon: 7.35 x 1022kg
Moments of Inertia:
R+ R
2.
MR²
1
2
I =Em;r? Iring = M
Idisk =ML Igphere =M R
= Icylinder =MR Irod
I disk
%3D
%D
%3D
12
The vector product or cross product between two vectors A and B can be calculated as follows:
If you know the angle 0 between the two vectors, find the magnitude of the product |C| = |Ã × B| =
|A||B| sin 0 and find the direction using the right-hand-rule.
%3D

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