A 550g air-track glider collides with a spring at one end of the track. Glider’s

Question

A 550g air-track glider collides with a spring at one end of the track. Glider’s velocity-time graph and the force (only the magnitude)-time graphs for the exerted force on the glider by the spring is shown below. What is the maximum force exerted on the glider by the spring? (provide the proper sign for the force) If the spring is replaced with another, which can double the maximum force within the same time limit, what will be the glider’s recoil velocity?

https://miamioh.instructure.com/courses/13644/files/1481209/download?wrap=1

That is the pdf for the assignment with graphs included

Explanation / Answer

=> force is rate of momentum, that is f(t) =m*v’(t);
total change of momentum is
L = m*v’(t) *dt {t= t_of_max - t/2 to t_of_max + t/2} =
=f(t)*dt = area of isosceles triangle = Fmax*(t/2), where Fmax =XN;
on the other hand L =L2 –L1,
where vector L1= -m*v1, vector L2=m*v2, m=550 kg,
initial v1= ? and final v2=?m/s;
So L = m*3 +m*3 = 3300 kg·m/s;
thus vector v1=-(2g*h1), vector v2=(2g*h2);
L=L; *(t/2) = 5400, hence t = 300 s = 5 min

L=L; X*(t/2) = PUT THE VALUE OF X AS PER YOUR QUESTION AND GET THE ANSWER

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