A bomb at rest explodes into 3 parts of same mass. The momentum of 2 parts are -2p hati and p hatj . The momentum of the third part will have a magnitude.

Question

A bomb at rest explodes into 3 parts of same mass. The momentum of 2 parts are -2p hati and p hatj . The momentum of the third part will have a magnitude. (A) P (B) √3P (C) P√5 (D) Zero

Tardigrade Admin · Accepted Answer

overset arrow Pi= overset arrow Pf 0=-2P hati+P hatj+ overset arrow P overset arrow P=-2P hati+P hatj |.P|.=√4 P2 + P2=√5P

Q. A bomb at rest explodes into $3$ parts of same mass. The momentum of $2$ parts are $- 2 p \hat{i}$ and $p \hat{j}$ . The momentum of the third part will have a magnitude.

$P$

$3 P$

$P 5$

Zero

$P \to_{i} = P \to_{f}$
$0 = - 2 P \hat{i} + P \hat{j} + P \to$
$P \to = - 2 P \hat{i} + P \hat{j}$
$∣ P ∣ = 4 P^{2} + P^{2} = 5 P$

Q. A bomb at rest explodes into 3 parts of same mass. The momentum of 2 parts are −2pi^ and pj^​ . The momentum of the third part will have a magnitude.

P

3​P

P5​

Zero

P→i​=P→f​ 0=−2Pi^+Pj^​+P→ P→=−2Pi^+Pj^​ ∣P∣=4P2+P2​=5​P

Q. A bomb at rest explodes into $3$ parts of same mass. The momentum of $2$ parts are $- 2 p \hat{i}$ and $p \hat{j}$ . The momentum of the third part will have a magnitude.

$P$

$3 P$

$P 5$

$P \to_{i} = P \to_{f}$
$0 = - 2 P \hat{i} + P \hat{j} + P \to$
$P \to = - 2 P \hat{i} + P \hat{j}$
$∣ P ∣ = 4 P^{2} + P^{2} = 5 P$