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. Vi h x1 x2 8.12 18.7m 10.8m m (no answer) Correct Answer: 18.4

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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
8.12™
h
x1
X2
18.7m
10.8m
m
Х
(no answer)
10
Correct Answer: 18.4
Vi
h
X1
X2
8.12
m
S
m
10.9m
18.1m
Х
(no answer)
2
CM
Correct Answer: 18.3
Transcribed Image Text: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 8.12™ h x1 X2 18.7m 10.8m m Х (no answer) 10 Correct Answer: 18.4 Vi h X1 X2 8.12 m S m 10.9m 18.1m Х (no answer) 2 CM Correct Answer: 18.3
Solution:
Calculate where the CM lands using 2-D motion equations:
h = ½gt² and CM = vit
Solve for t and plug in:
2h
XCM = Vi√√9
(Eqn. 1)
Formula for XCM related to x1 and x2:
XCM
m1x1+m2x2
(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
3
g
Transcribed Image Text:Solution: Calculate where the CM lands using 2-D motion equations: h = ½gt² and CM = vit Solve for t and plug in: 2h XCM = Vi√√9 (Eqn. 1) Formula for XCM related to x1 and x2: XCM m1x1+m2x2 (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 3 g
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