In: Physics
Given is:-
Mass of the car
speed of the car
compression in the spring
At the instant of maximum compression the speed of the car reduces to zero. Taking the kinetic energy of the car to be zero at the horizontal part, the conservation of energy shows
or
by putting all the values
Thus the stiffness of the spring or the spring constant is 3792.6N/m
Part-b
we know that
the time period of the osillation of spring is
where m is the mass of the particle and k is the spring constant
And time for maximum compression is =
Thus time taken for maximum compression is t
by putting all the values we get
Therefore the Darth Maul's car takes 0.74 seconds before it bounces off in the opposite direction