A mass m moving horizontally (along the x-axis) with velocity v collides...
A mass
m moving horizontally (along the x-axis) with velocity v collides and
sticks to a mass of 3m moving vertically upward (along the y-axis) with
velocity 2v. The final velocity of the combination is
AIPMT/NEET 2011 | W.P.E
Q 4 | There
will be no effect of vertical motion in case of collision since its an
impulsive event. In other words which means the basic funda of collision and
its formula will be applicable here.that I told you earlier in qus 1 of year
2010. If you haven’t subscribed my channel then do it now and don’t miss any
important thing about Neet. In first sight , it may appear a tough qus but look
carefully no dimensions regarding size is mentioned here. Only particle word is
used which means no need of L.O.C or Funda of oblique collision. Overall it’s a
good qus which plays on your pre knowledge of oblique collision and can make
many of you to think in a complicated way.
In case of collision The two bodies of masses m1 and m2 are moving along
a line with velocities u1 and u2 respectively, u1 should be greater then u2 for
two bodies to collide.
As the
velocity of m1 (u1) is greater than that of m2 (u2), there will be a
deformation in the bodies. This deformation continues till they acquire same
velocity. Now a question arises, that why will they acquire same velocity. The
velocity of the front body m2 (which was slower
initially) will gradually increase, and the velocity of the rear body m1 (which
was faster initially) will gradually decrease. By conservation momentum.
m1u1 + m2u2 = m1 v1+ m2 v2
During the whole process, the momentum of the two
-block system remains constant.
Before and after collision kinetic energy may be
same but not during the whole process.
Newton
This is an experimental law which relates the velocity of approach of the
bodies before collision and the velocity of separation after the impact.
When the collision is neither perfectly elastic nor perfectly inelastic, for
such cases, Newton did certain experiments and
gave another law which is now called as Newton
Relative
velocity of impact = e [Relative velocity of approach before impact]
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