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Mathematics 22 Online
OpenStudy (anonymous):

a beryllium nucleus(mass 1.51*10^-26kg) is moving with a speed of 3.0*10^6m/s when it collides a elastically with a stationary deuterium nucleus of mass 3.34*10^-27kg. After the collision both nuclei moves off in the same direction.Determine the velocity of each nucleus after the collision.

OpenStudy (anonymous):

I would solve it by using the conservation of energy, but I am not sure that it stands in this context.

OpenStudy (anonymous):

I would say that the kinetic energy of this nucleus is 1/2 mv^2 1/2 * 1.51*10^-26 *(3*10^6)^2

OpenStudy (anonymous):

and this is equal to 1/2 (1.51*10^-26+3.34*10^-27)(new v)^2

OpenStudy (anonymous):

\[m_1V_1 + m_2V_2 (pre collision) = m_1V_1 + m_2V_2 (postcollision)\] simply insert your numbers and voila

OpenStudy (anonymous):

that equation does not seem to be right :-) you can cross out m1v1 to get m2v2(pre)=m2v2(post) v2(pre)=v2(post)

OpenStudy (anonymous):

u say 'a elastically' - if its' inelastically' you can solve it by conservation of momentum - total momentum (mv) is conserved. If its elastic you need to know the coefficient of restitution. since you are not given this i'm guessing its inelastic. I'm with Andras - I'm not sure about conservation of energy being the way to go.

OpenStudy (jamesj):

By definition if an collision is elastic, energy is conserved. For first principles on this topic, watch: http://ocw.mit.edu/courses/physics/8-01-physics-i-classical-mechanics-fall-1999/video-lectures/lecture-16/ The part you need to answer this question is at the beginning of this lecture.

OpenStudy (anonymous):

Oh yeah, than I was right :-)

OpenStudy (anonymous):

thanx jamesj - i've learnt something today

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