given data;
Mass of truck= mt=8000kg
Speed of truck= Vt=4m/s
Mass of car=mc=2000kg
Speed of car=Vc=16m/s
so
Vc=−16cos30°i+(−16sin30°)j
Vt=4i 1
- total momentum before collision
p=mtvt+mcvc=800(4i)+2000(−16(0.866)i−8j)
p=32000i−27712i−16000j
p=4288i−16000j
∣p∣=16564mkg/s
2-
as after collision they move together & as momentum is conserve
∣p∣=∣pf∣=16564=(mt+mc)vf ⟹vf=1.66m/s
vf=p/m=0.04288i−1.6j
3-
initial total energy =KE1+KE2=mtvt2/2+mcvc2/2=Ei
Ei=4000(4)2+1000(16)2
Ei=320000J
final energy = (mt+mc/2)vf2
ve2=5000(1.66)2
Ef=13778J
as Ei is not equal to Ef thus not elastic collision
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