Holden is trying to determine the velocity of his race car. He went 20 meters east, turned around, and went 40 meters west. His
car was 20 meters from the starting line. This took 5 seconds.
What is the car’s average velocity?
4 m/s east
4 m/s west
12 m/s west
12 m/s east
What is the car’s average velocity?
4 m/s east
4 m/s west
12 m/s west
12 m/s east
2 answers:
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The final combined velocity after the collision is 20.2 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the two car and of the truck must be conserved before and after the collision.
This means that we can write the following equation:
where:
is the mass of the sport car
is the initial velocity of the car (taking its direction as positive direction)
is the mass of the truck
is the initial velocity of the truck
is the final combined velocity of the car and the truck, after the collision
Re-arranging the equation and substituting the values, we find the velocity after the collision:
And the positive sign indicates their final direction is the same as the initial direction of the two vehicles.
Learn more about momentum here:
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