What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a speed of 85 km/h so that the occupants undergo a maximum acceleration of 5.0g?

k = 5178.8 N/m

Explanation:

As we know that spring mass system will oscillate at angular frequency given as

now we have

now the maximum acceleration of the spring block system is at its maximum compression state which is given as

here A= maximum compression of the spring

so here in order to find maximum compression of the spring we will use energy conservation as we know that initial total kinetic energy of the car will convert into spring potential energy

here we know that

v = 85 km/h

now we have

now from above equation of acceleration we have

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.

in order to follow the instructions and complete the statements, i need to use data from table c of your student guide. can you think of a way to let me see your student guide for a while ? i can't answer the question without the data in table c.