Question

A object initially at rest explodes into 3 fragments A,B and C. The momentum of A is p$\overset{\hat{}}{i}$and that of B is $\sqrt{3}$p$\overset{\hat{}}{j}$, where p is a + ve number. The momentum of C will be -

• A. (1+ $\sqrt{3}$)p in a direction making angle 120ŗ with that of A
• B. (1 +$\sqrt{3}$)p in a direction making angle 150ŗ with that of B
• C. 2p in a direction making angle 150⁰ with that of A
• D. 2p in a direction making angle 150⁰ with that of B

Answer 1

Answer: (D)

2p in a direction making angle 150⁰ with that of B

Answer 2

Q ${\overrightarrow{p}}_{1} + {\overrightarrow{p}}_{2} + {\overrightarrow{p}}_{3}$ = 0

\f0 ${\overrightarrow{p}}_{3} = - ({\overrightarrow{p}}_{1} + {\overrightarrow{p}}_{2})$ = $- (p\widehat{i} + \sqrt{3}p\widehat{j})$

Ž p₃ = $p\sqrt{1 + (\sqrt{3})^{2}}$ = 2p