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If a truck has a mass 10 times greater than a car, how fast will the car have to move to have the same momentum as the truck when it moves

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i.e truch weighs 500 lbs so the car weighs 50lbs. lets say thw truck goes 2 mph so thatll be 1000 for the car to reach 1000 you have to divide and youll get 20. so the car has to be ten times as fast as the truck
lublana

Answer:

The car will have to   move 10 times greater than  the truck

Step-by-step explanation:

Let x be the mass of  car

Mass of truck=10x

We have to find how fast the  car will have to  move to have the same momentum as the truck when it moves.

We know that momentum=[tex]mass\times velocity[/tex]

Momentum of car=[tex]x\times v_1[/tex]

Where [tex]v_1[/tex]=velocity of car

Momentum of truck=[tex]10x\times v_2[/tex]

Where [tex]v_2[/tex]=Velocity of truck

According to question

[tex]10x\times v_2=x\times v_1[/tex]

[tex]v_1=10v_2[/tex]

Hence, the car will have to   move 10 times  greater than the truck when both have same momentum