Question

Two cars, one a compact with mass 1500 kgkg and the other a large gas-guzzler with mass 2500 kgkg , collide head-on at typical freeway speeds.

Part A Which car has a greater magnitude of momentum change? Which car has a greater magnitude of momentum change? with mass 1500 kgkg with mass 2500 kgkg equal SubmitRequest Answer Part B Which car has a greater velocity change? Which car has a greater velocity change? with mass 1500 kgkg with mass 2500 kgkg equal SubmitRequest Answer Part C If the larger car changes its velocity by ΔvΔv, calculate the change in the velocity of the small car in terms of ΔvΔv. ΔvsΔvs = nothing ΔvΔv SubmitRequest Answer Part D Which car's occupants would you expect to sustain greater injuries? Which car's occupants would you expect to sustain greater injuries? with mass 1500 kgkg with mass 2500 kgkg equal SubmitRequest Answer Provide Feedback Next

Answer 1

Part A)

m = mass of compact car = 1500 kg

M = mass of large gas-guzzler = 2500 kg

v = change in velocity of compact car

V = change in velocity of large gas-guzzler

Using conservation of momentum

m v = - M V

p = - P

hence magntude of momentum change is equal

Equal

B)

mass (change in velocity) = Constant

hence smaller the mass , greater would be the change in velocity. hence

with mass 1500 kg

C)

m v = M V

1500 v = 2500 V

v = (1.67) V

D)

equal