You have been contracted to test springs for quality of a rocket car whose mass m, needs to be stopped when caught byafter reaching max velocity. The rocket car's acceleration has magnitude Bt after engine ignites from rest. The rocket car has enough fel to accelerate a distance L on a frictionless track. After that point, it runs out of fuel and no longer accelerates. If the max possible compression length of spring is D, what must be the min spring constant k for the spring to safely stop rocket car at max compression?
You have been contracted to test springs for quality of a rocket car whose mass m, needs to be stopped when caught byafter reaching max velocity. The rocket car's acceleration has magnitude Bt after engine ignites from rest. The rocket car has enough fel to accelerate a distance L on a frictionless track. After that point, it runs out of fuel and no longer accelerates. If the max possible compression length of spring is D, what must be the min spring constant k for the spring to safely stop rocket car at max compression?
Given variables:
mass of car = m
maximum compression of spring = D
distance in which it has been accelerated = L
initial speed of car = 0 ( starting from the rest)
acceleration of car = Bt
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