A 1000kg 'Smart Car' is stopped at an intersection. A large 4000kg SUV approaches from behind with a velocity of 15m/s and finds itself on a sheet of ice, unable to slow down or change direction. A. Assuming the colljision to be perfectly inelastic, write an equation showing the momentum before and after the collision
B. What wll be the speed of the combined cars immediately after the collision?
C. If the collision lasts 0.1 seconds, what is the magnitude of the average force acting on the smart car?
D. The magnitude of the average force acting on the SUV during the collision must be the same due to Newton's 3 law. Convince yourself that it is indeed the same by using the same approach you used above.
F. Which car undergoes a larger acceleration? Explain
G. Which car would you rather be in during this collision? Explain by identifying the net force that would act on you (mass 50 kg) if you were in either car and comparing that force to your weight (use a ratio, e. g., the force acting on you is 4 times larger than your weight if you are in the smart car)
H. Suppose the situation was reversed and the Smart Car (v-15m/s) runs into the SUV at rest. Would the combined cars' speed be any different this time? Show your work.
I. Answer questions C, D, E, F and G again for this situation:
a. Average force on smart car. Average force on SUV.
b. Average acceleration for smart car. Average acceleration for SUV.
c. Which car undergoes larger acceleration?
d. Which car would you rather be in? Calculate the net force acting on you (mass 50 kg) and compare with the gravitational force.
J. Calculate the initial and final kinetic energy of the system of two cars
K. What fraction of the initial kinetic energy was converted to other forms? Hint: In the question above you figured out that the initial kinetic energy is larger than the final. You just need to use these values to calculate what K is asking. For example, KE,-10 J and KE--6 J, that means that 4 J were converted to other forms. That's 4Jl0J-40% of the initial KE. K.