You are designing an amusement park ride. A cart with
two riders moves horizontally with speed
= 5.60 m/s . You assume
that the total mass of cart plus riders is 300 kg. The cart
hits a light spring that is attached to a wall, momentarily comes
to rest as the spring is compressed, and then regains speed as it
moves back in the opposite direction. For the ride to be thrilling
but safe, the maximum acceleration of the cart during this motion
should be 3.00g. Ignore friction.
What is the required force
constant of the spring?
What is the maximum distance the spring will