MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

COM in Collision and Explosion

Two particles...

Question

Two particles of mass $M_{A}$ and $M_{B}$ and there velocities are $V_{A}$ and $V_{B}$ respectively collides. After collision they inter changes their velocities then ratio of $\frac{M_{A}}{M_{B}}$ is?

Open in App

Solution

Before collision momentum ${= \to ρ}_{1} = M_{A} V_{A} + M_{B} V_{B}$
after collision momentum u ${\to ρ}_{2} = M_{A} V_{B} + M_{B} V_{A}$
momentum is conserve ${\to ρ}_{1} = {\to ρ}_{2}$
$M_{A} V_{A} + M_{B} V_{B} = M_{B} V_{A} + M_{A} V_{B}$
divide both side by $M_{B}$
$\frac{M_{A}}{M_{B}} V_{A} + V_{B} = V_{A} + \frac{M_{A}}{M_{B}} V B \frac{M_{A}}{M_{B}} (V_{A} - V_{B}) = (V_{A} - V_{B})$
clear that $\frac{M_{A}}{M_{B}} = 1$

Suggest Corrections

thumbs-up

0

Similar questions

m_{a}

m_{b}

moving with velocities

{¯ ¯¯ ¯ V}_{a}

and_{b}

in opposite directions collide elastically and after the collision

m_{a}

m_{b}

move with velocities

_{b}

{¯ ¯ ¯ v}_{a}

respectively. Then the ratio

\frac{m_{a}}{m_{b}}

Q. Two particles A and B of masses

m_{A}

m_{B}

respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are

v_{A}

v_{B}

respectively, and the trajectories are as shown in the figure. Then

Q. Particle A makes perfectly elastic collision with another particle B at rest. They fly apart in opposite direction with equal speeds. If their masses are

m_{A}

m_{B}

respectively. Then

Q. Two guns of mass

M_{A}

M_{B}

M_{A} > M_{B}

) fire bullets of equal mass with equal bullet velocities. If

K_{A}

K_{B}

are the recoil kinetic energy of the two guns then

Q. Two blocks of masses

m_{A} = 10 kg

m_{B} = 15 kg

initially moving in the same direction with velocities of

u_{A} = 3 m/s

u_{B} = 6 m/s

collide elastically. What is the velocity of the block of mass

10 kg

after the collision?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Why Is the Center of Mass the Real Boss?

PHYSICS

Watch in App

explore_more_icon

Explore more

COM in Collision and Explosion

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon