Solution: Conservation of energy: PE + KE+Wnc = PE + KE GMm RE + ||mv² +0 = GMm - +0 RE+h Cancel m's and clean up: v² = (2GM) 2 1 - 1 (2GM) (R/R+h) RE Gravitational Energy Conservation A "super cannon" launches a ball vertically from Earth's surface with a speed of v. Ignore air resistance and the Earth's spin. At its highest point, the ball is a height of h above the surface of the Earth. Earth's mass is 5.97 x 1024 kg. Earth's radius is 6.37 × 106 m. 7 ย m S 8 Type your answer... v 6,002™ S Type your answer... h 1.89×106m h x10m -

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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Solution:
Conservation of energy:
PE + KE+Wnc = PE + KE
GMm
RE
+ ||mv² +0 =
GMm
-
+0
RE+h
Cancel m's and clean up:
v² = (2GM)
2
1
-
1
(2GM) (R/R+h)
RE
Transcribed Image Text:Solution: Conservation of energy: PE + KE+Wnc = PE + KE GMm RE + ||mv² +0 = GMm - +0 RE+h Cancel m's and clean up: v² = (2GM) 2 1 - 1 (2GM) (R/R+h) RE
Gravitational Energy Conservation
A "super cannon" launches a ball vertically from Earth's
surface with a speed of v. Ignore air resistance and the
Earth's spin. At its highest point, the ball is a height of h
above the surface of the Earth.
Earth's mass is 5.97 x 1024 kg. Earth's radius is
6.37 × 106 m.
7
ย
m
S
8
Type your answer...
v
6,002™
S
Type your answer...
h
1.89×106m
h
x10m
-
Transcribed Image Text:Gravitational Energy Conservation A "super cannon" launches a ball vertically from Earth's surface with a speed of v. Ignore air resistance and the Earth's spin. At its highest point, the ball is a height of h above the surface of the Earth. Earth's mass is 5.97 x 1024 kg. Earth's radius is 6.37 × 106 m. 7 ย m S 8 Type your answer... v 6,002™ S Type your answer... h 1.89×106m h x10m -
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