Solution: Calculate where the CM lands using 2-D motion equations: h = gt² and xCM = vit Solve for t and plug in: 2h XCM = Vi (Eqn. 1) 9 Formula for XCM related to x1 and x2: m1x1+m2x2 XCM = (Eqn. 2) m1+m2 Plug (Eqn. 1) into (Eqn. 2): 2h Vi g m1x1+m2x2 m1+m2 Plug in values for the masses: 2h x1+2x2 Vi √ g 3 00 h x1 X2 18.7m 11.1m m Mid-Air Explosion A drone is flying horizontally at a speed of v¿ when a battery malfunction causes it to explode into 2 pieces. The pieces fall to Earth from a height of h due to gravity (ignore air resistance). Piece #1 has a mass of 1.00kg and lands a horizontal distance of x1 from the explosion spot. Piece #2 has a mass of 2.00kg and lands a horizontal distance of x2 from the explosion spot. 9 Vi 8.52 m S Type your answer... 1 CM 2 10 DI h x1 X2 m 10.7m 18.1m Vi 8.44m S Type your answer...

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:
Calculate where the CM lands using 2-D motion
equations:
h =
gt² and xCM = vit
Solve for t and plug in:
2h
XCM = Vi
(Eqn. 1)
9
Formula for XCM related to x1 and x2:
m1x1+m2x2
XCM =
(Eqn. 2)
m1+m2
Plug (Eqn. 1) into (Eqn. 2):
2h
Vi
g
m1x1+m2x2
m1+m2
Plug in values for the masses:
2h
x1+2x2
Vi √ g
3
Transcribed Image Text:Solution: Calculate where the CM lands using 2-D motion equations: h = gt² and xCM = vit Solve for t and plug in: 2h XCM = Vi (Eqn. 1) 9 Formula for XCM related to x1 and x2: m1x1+m2x2 XCM = (Eqn. 2) m1+m2 Plug (Eqn. 1) into (Eqn. 2): 2h Vi g m1x1+m2x2 m1+m2 Plug in values for the masses: 2h x1+2x2 Vi √ g 3
00
h
x1
X2
18.7m
11.1m
m
Mid-Air Explosion
A drone is flying horizontally at a speed of v¿ when a
battery malfunction causes it to explode into 2
pieces. The pieces fall to Earth from a height of h
due to gravity (ignore air resistance). Piece #1 has a
mass of 1.00kg and lands a horizontal distance of
x1 from the explosion spot. Piece #2 has a mass of
2.00kg and lands a horizontal distance of x2 from
the explosion spot.
9
Vi
8.52 m
S
Type your answer...
1
CM
2
10
DI
h
x1
X2
m
10.7m
18.1m
Vi
8.44m
S
Type your answer...
Transcribed Image Text:00 h x1 X2 18.7m 11.1m m Mid-Air Explosion A drone is flying horizontally at a speed of v¿ when a battery malfunction causes it to explode into 2 pieces. The pieces fall to Earth from a height of h due to gravity (ignore air resistance). Piece #1 has a mass of 1.00kg and lands a horizontal distance of x1 from the explosion spot. Piece #2 has a mass of 2.00kg and lands a horizontal distance of x2 from the explosion spot. 9 Vi 8.52 m S Type your answer... 1 CM 2 10 DI h x1 X2 m 10.7m 18.1m Vi 8.44m S Type your answer...
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