A 5.00-kg ball, moving to the right at a velocity of +2.00 m/s on a frictionless table, collides head-on with a stationary 7.50kg ball. find the final velocities of the ball if the collision is elastic

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irishboy123 · Answer

post the actual question 🏹

anonymous · Answer

@IrishBoy123 Perhaps you're having problems viewing the question? I can see it just fine from my side. Hmm, there might be an easier way, but this is probably how I would approach the question. Perhaps @IrishBoy123 can check it X) `Conservation of Momentum:`$$\huge Mv+m u=Mv_f+m u_f$$$$\huge 10+0=5v_f+7.5u_f$$ `Conservation of Total Kinetic Energy:`$$\huge \frac{1}{2}Mv^2+\frac{1}{2}m u^2=\frac{1}{2}Mv_f^2+\frac{1}{2}m u_f^2$$$$\huge 10+0=2.5v_f^2+3.75u_f^2$$ You should be able to solve for $v_f$ and $u_f$ as a system of two equations. $v$ is the initial velocity of the first ball $v_f$ is the final velocity of the first ball $u$ is the initial velocity of the second ball $u_f$ is the final velocity of the second ball $M$ is the mass of the first ball $m$ is the mass of the second ball You can also approximate that $v_f \approx v_i$ and $u_f \approx 2v_i$ and continue to solve from there. Source: http://hyperphysics.phy-astr.gsu.edu/hbase/colsta.html

anonymous · Answer

However, I think that approximation can only be made if the masses greatly different. 5kg and 7.5kg are kind of close to each other.