You have been hired to design a spring-launched roller coaster that will carry t

Question

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 16m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.3m and that a loaded car will have a maximum mass of 400kg . For safety reasons, the spring constant should be 15% larger than the minimum needed for the car to just make it over the top.

- What spring constant should you specify?

-What is the maximum speed of a 370 kg

car if the spring is compressed the full amount?

Explanation / Answer

a.)15% larger than the minimum needed for the car to just make it over the top

now 400*9.81=k*2.3

k=1706.08 N/m

so spring constant is 15% more then its specified value

K=1.15*1706.08

=1962 N/m

Now 1/2*k*x^2=1/2*m*v^2

v=sqrt(1962*2.3^2/(370))

=5.29 m/s ans

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.