A red car and a blue car are driving in the same direction on the interstate....

A red car and a blue car are driving in the same direction on the interstate. The red car

is travelling at 25 m/s, while the blue car is travelling at 35 m/s. The driver of the blue

car is not paying attention and rear-ends the red car. The red car has a mass of 2,000

kg while the blue car is only 1,000 kg.

a. Prior to the collision, what is the value of the center of mass kinetic energy?

b. In order for this collision to be isolated, what is the maximum amount of energy

that can be converted to other forms during the collision? What percentage of

the initial kinetic energy does this represent?

c. If the system loses 40% of its kinetic energy in the collision, is the system

isolated? Why or why not?

d. Prior to the collision, how fast and in what direction would you need to be

travelling in order for the system to appear to have zero momentum?

e. Regardless of your answer to part (c), assume now that the two vehicles form

an isolated system. If they cars stick together, how fast will they be moving?

f. What minimum amount of kinetic energy must be conserved in order for this

system to be isolated?

Solutions

Expert Solution

genius_generous answered 5 months ago

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