A 500kg truck moving with a velocity of 6m/s collides with a stationary 100kg car...
Question
A 500kg truck moving with a velocity of 6m/s collides with a stationary 100kg car. The truck and the car move together after collision. What is their common velocity?
Options
A)
5m/s

B)
10m/s
C)
30m/s
D)
1m/s
Related Lesson: Inelastic Collisions | Momentum and Impulse
The correct answer is A.
Explanation:
Mass of truck, m¹=500kg
Velocity of truck, v¹=6m/s
Mass of car, m²=100kg
Velocity of car, v²=0m/s
m¹v¹+m²v²=(m¹+m²)V
Where V is the common velocity after collision
(500*6)+(100*0)=(500+100)V
3000+0=600V
V=\( \cfrac{3000}{600} \)
V=5m/s
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Mass of truck, m¹=500kg
Velocity of truck, v¹=6m/s
Mass of car, m²=100kg
Velocity of car, v²=0m/s
m¹v¹+m²v²=(m¹+m²)V
Where V is the common velocity after collision
(500*6)+(100*0)=(500+100)V
3000+0=600V
V=\( \cfrac{3000}{600} \)
V=5m/s