A 0.500 kg sphere moving with a velocity (2.00 - 2.70 + 1.00) m/s strikes anothe

Question

A 0.500 kg sphere moving with a velocity (2.00 - 2.70 + 1.00) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00 + 2.00 - 3.10) m/s. (a) If the velocity of the 0.500 kg sphere after the collision is (-0.80 + 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 + 0.825 - 2.08) 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 + 3.30 + 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/

Explanation / Answer

initila velocity of 0.5kg=sqrt(2*2+2.7*2.7+1*1)=3.5 m/s;....initila velocity of 1.5kg=sqrt(1*1+2*2+3.1*3.1)=3.82m/s;.....initial kinetic energy=0.5*0.5*3.5*3.5+0.5*1.5*3.82*3.82=14 J m1u1+m2u2=m1v1+m2v2;....0.5(2i-2.7j+k)+1.5(-i+2j-3.1k)=0.5(-0.80 i+ 3.00j - 8.00k)+1.5v2...SO v2=-0.067i+0.1j-0.1k;......v1=8.58m/s....v2=0.15 m/s... kinetic energy=0.5*0.5*8.58*8.58+0.5*1.5*0.15*0.15= 18.42J...kinetic energies are not equal.(so not perfectly elastic)...they have diifrent velocities after collison(so not perfectly elastic).....so collision is inelastic.....the other problems can be done in a similar way

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