8.34 A 6000-kg truck traveling north at 5.0 m/s collides with a 4000-kg truck moving west at 15 m/s. If the two trucks remain locked together after impact, with what speed and in what direction do they move immediately after the collision? Ans. 6.7 m/s at 27 north of west

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8.34
A 6000-kg truck traveling north at 5.0 m/s collides with a 4000-kg truck moving west at 15 m/s. If the two
trucks remain locked together after impact, with what speed and in what direction do they move immediately
after the collision?
Ans. 6.7 m/s at 27° north of west
Given
m,- 6000 kg
Required
m,- 4000 kg
V = ?
V1= 5 m/s
V2= 15 m/s
Solution
(m2) (v2)
(m) (v,)
Vx
2
Vy
%3D
m
1
(6000 kg) (5 m/s)
(4000 kg) (15 m/s)
Vy
6000 kg + 4000 kg
Vx
6000 kg
+ 4000 kg
Vy
3 m/s
Vx = 6 m/s
Vy
V - /(vx'+ (vy’
tan 0
(Vy)
Vx
r com/s)*+ (3m/s)*
2
2
3 m/s
tan
V =
v( 45 m?/ s²)
m/s
V =(6.70820 m / s
26.56
Transcribed Image Text:8.34 A 6000-kg truck traveling north at 5.0 m/s collides with a 4000-kg truck moving west at 15 m/s. If the two trucks remain locked together after impact, with what speed and in what direction do they move immediately after the collision? Ans. 6.7 m/s at 27° north of west Given m,- 6000 kg Required m,- 4000 kg V = ? V1= 5 m/s V2= 15 m/s Solution (m2) (v2) (m) (v,) Vx 2 Vy %3D m 1 (6000 kg) (5 m/s) (4000 kg) (15 m/s) Vy 6000 kg + 4000 kg Vx 6000 kg + 4000 kg Vy 3 m/s Vx = 6 m/s Vy V - /(vx'+ (vy’ tan 0 (Vy) Vx r com/s)*+ (3m/s)* 2 2 3 m/s tan V = v( 45 m?/ s²) m/s V =(6.70820 m / s 26.56
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