A 0.500 kg sphere moving with a velocity (2.00 - 2.60 + 1.00) m/s strikes anothe

Question

A 0.500 kg sphere moving with a velocity (2.00 - 2.60 + 1.00) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00 + 2.00 - 3.00) m/s. (a) If the velocity of the 0.500 kg sphere after the collision is (-1.00 + 3.00 - 8.00) m/s, find the velocity of the 1.50 kg sphere and identify the kind of collision (elastic, inelastic, or perfectly inelastic). ( + + ) m/s This is ______ collision. an elastic an inelastic a perfectly inelastic (b) If the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.850 - 2.00) m/s, find the final velocity of the 1.50 kg sphere and identify the kind of collision. ( + + ) m/s This is ______ collision. an elastic an inelastic a perfectly inelastic (c) What if? If the velocity of the 0.500 kg sphere after the collision is (-1.00 + 3.40 + a) m/s, find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a negative value and a positive value. Report each with their corresponding final velocities.) a (positive value) m/s2 v2f = m/s a (negative value) m/s2 v2f = m/s

Explanation / Answer

from conservation of momentum 0.5*(2i-2.60j+1.0k)+1.5*(-1i+2j-3k) = 0.5*(-1i+3j-8k)+1.5*(xi+yj+zk) by equating corresponding coordinates we see that x= 0 y= 0.133 z= 0 coefficient of restitution e = (3.74-0.133)/(8.60-3.42) = 0.634 this is an inelastic collision repeat the same for different values

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