A glider of mass m is free to slide along a horizontal air track. It is pushed a

Question

A glider of mass m is free to slide along a horizontal air track. It is pushed against a launcher at one end of the track. Model the launcher as a light spring of force constant k compressed by a distance x. The glider is released from rest.
(a) Show that the glider attains a speed of
v = x(k/m)1/2


(b) Show that the magnitude of the impulse imparted to the glider is given by the expression
I = x(km)1/2


(c) Is more work done on a glider with large or a small mass?
large mass small mass the work done is the same on each

Explanation / Answer

.5*m*v^2=.5*k*x^2 a)so v=sqrt(kx^2/m)=x(k/m)^(1/2) b)I=mv=m*[x(k/m)^(1/2)]=x(km)1/2 c)W is same =.5*k*x^2 ...

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