A ball (mass= 0.5kg) is dropped from a 100m high building. (a) How much work is done on the ball by the force of gravity? (b) Assuming air resistance is negligible, what will the final speed of the ball be just before it hits the ground? (c) If drag produces an opposing force of 3 N on the ball while it is falling, what will the final speed of the ball be just before it hits the ground?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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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
Transcribed Image Text: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
. A ball (mass= 0.5kg) is dropped from a 100m high building.
(a) How much work is done on the ball by the force of gravity?
(b) Assuming air resistance is negligible, what will the final speed of the ball be just before it
hits the ground?
(c) If drag produces an opposing force of 3 N on the ball while it is falling, what will the final
speed of the ball be just before it hits the ground?
S%3D
Transcribed Image Text:. A ball (mass= 0.5kg) is dropped from a 100m high building. (a) How much work is done on the ball by the force of gravity? (b) Assuming air resistance is negligible, what will the final speed of the ball be just before it hits the ground? (c) If drag produces an opposing force of 3 N on the ball while it is falling, what will the final speed of the ball be just before it hits the ground? S%3D
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