An explosion breaks an object,initially at rest, into two pieces, one of which h

Question

An explosion breaks an object,initially at rest, into two pieces, one of which has 1.40 times themass of the other. If 7960J is the total kinetic energy of bothfragments immediately after the explosion, how much kinetic energydid the heavier piece acquire? An explosion breaks an object,initially at rest, into two pieces, one of which has 1.40 times themass of the other. If 7960J is the total kinetic energy of bothfragments immediately after the explosion, how much kinetic energydid the heavier piece acquire?

Explanation / Answer

by conservation of momentum: m1v1=-m2v2 where m2=1.4m1 m1v1=-1.4m1v2 magnitude only, so we ignore the minus sign.... v1=1.4v2 KE=1/2mv2 KE1/KE2=(0.5m1*(1.4v2)2)/(0.5*1.4m1*v22)                   =1.4 KE1:KE2=7:5 dividing 7960 in this ratio: KE2=5*7960/12        =3316.66J

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.