spring is compressed between two tickets of mass M1 and M2 when the toy cards are released the spring and results on each equal and opposite average force for the same time T if the coefficient of friction between the ground and the chords are equal then the displacement of the two tickets are in the ratio
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Let the displacements be s1 and s2 coefficient of friction=U
Frictional force
=UR
=Umg
or,
ma=Umg
or,
a=Ug
v^2=u^2+2as (u=o)
v=sqrt(2as)
Now since they exert equal but opposite force so
F1 = - F2
or,
Change in momentum of m1= - change in momentum of m2
or
m1*v1= -m2*v2 (time cancels)
or
m1*sqrt(2as1) = - m2*sqrt(2as2)
Squaring,
m1^2 * 2as1 = - m2^2 2as2
So
s1/s2=-(m2^2.m1^2)
Frictional force
=UR
=Umg
or,
ma=Umg
or,
a=Ug
v^2=u^2+2as (u=o)
v=sqrt(2as)
Now since they exert equal but opposite force so
F1 = - F2
or,
Change in momentum of m1= - change in momentum of m2
or
m1*v1= -m2*v2 (time cancels)
or
m1*sqrt(2as1) = - m2*sqrt(2as2)
Squaring,
m1^2 * 2as1 = - m2^2 2as2
So
s1/s2=-(m2^2.m1^2)
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Answer:
further u can solve to get displacement ratio
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