Two objects of masses 2 kg and 4 kg are moving with the same momentum of 20 kg ms (a) Will they have some kinetic energy! (b) Will they have same speed?

Two objects of masses 2 kg and 4 kg are moving with the same momentum

1.	Two objects of masses 2 kg and 4 kg are moving with the same momentum of 20 kg ms (a) Will they have some kinetic energy! (b) Will they have same speed?
Answer» Solution :(a) `"The kinetic energy of the mass is GIVEN by KE"=p^(2)/2M` `" For the OBJECT of mass 2 kg, kinetic energy is KE"_(1)=(20)^(2)/(2xx2)=(4000)/4=100J` `"For the object of mass 4 kg, kinetic energy is KE"_(2)=(20)^(2)/(2xx4)=(4000)/8=50J` Note that `KE_(1)ne= KE_(2)`i.e ., even though both are having the same momentum, the kinetic energy of both masses is not the same. The kinetic energy of the HEAVIER object has lesser kinetic energy than smaller mat It is because the kinetic energy is inversely proportional to the mass `(KEinfty1/m)` for a given momentum (b) As the momentum, p=mv, the two objects will not have same speed,