Old Exam question, (Problem 9.46, modified). A 10.0 kg object sliding on a frict

Question

Old Exam question, (Problem 9.46, modified). A 10.0 kg object sliding on a frictionless surface has a velocity Vi = (+3 m/s)î. The object explodes into two parts. Both parts move along the r axis. Part A has a mass of 4 kg and a velocity vA (+5 m/s)l after the explosion. Part B has a mass of 6 kg after the explosion and a velocity vp In unit vector notation, what is the total linear momentum of the system (parts A and B) after the explosion? a. (+2 kg m/s)i b. (+30 kg m/s)1 c. (+38 kg m/s)1 d. (+50 kg m/s)i e. Not enough information

Explanation / Answer

By Conservation of momentum

miVi=mAVA+mBVB

10*(3i)=4*(5i)+6*VB

6VB =30i-20i

VB =(10/6)i=(1.6667 m/s)i

Total linear momentum after explosion

Pf =4*(5i)+6*(1.6667)i

Pf=(30 Kg-m/s)i

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