Two objects moving with speed u m/s collide at 90° then final momentum is: (Assume collision is inelastic)

Question

Two objects moving with speed u m/s collide at 90° then final momentum is: (Assume collision is inelastic) (A) mu (B) 2 mu (C) √2 mu (D) 2√2 mu

Tardigrade Admin · Accepted Answer

The linear momentum is conserved in both elastic and inelastic collisions. Pinitial = Pfinal Pinitial = mu hati + mu hatj =m√2u [∵ √(mu)2+(mu)2=√2mu] Pfinal = √2mu

Q. Two objects moving with speed $u$ m/s collide at $9 0^{\circ}$ then final momentum is: (Assume collision is inelastic)

$m u$

$2 m u$

$2 m u$

$22 m u$

The linear momentum is conserved in both elastic and inelastic collisions.
$P_{ini t ia l} = P_{f ina l}$
$P_{ini t ia l} = m u \hat{i} + m u \hat{j}$
$= m 2 u [∵ (m u)^{2} + (m u)^{2} = 2 m u]$
$P_{f ina l} = 2 m u$

Q. Two objects moving with speed u m/s collide at 90∘ then final momentum is: (Assume collision is inelastic)

mu

2mu

2​mu

22​mu

The linear momentum is conserved in both elastic and inelastic collisions. Pinitial​=Pfinal​ Pinitial​=mui^+muj^​ =m2​u[∵(mu)2+(mu)2​=2​mu] Pfinal​=2​mu

Q. Two objects moving with speed $u$ m/s collide at $9 0^{\circ}$ then final momentum is: (Assume collision is inelastic)

$m u$

$2 m u$

$2 m u$

$22 m u$

The linear momentum is conserved in both elastic and inelastic collisions.
$P_{ini t ia l} = P_{f ina l}$
$P_{ini t ia l} = m u \hat{i} + m u \hat{j}$
$= m 2 u [∵ (m u)^{2} + (m u)^{2} = 2 m u]$
$P_{f ina l} = 2 m u$