MyQuestionIcon

1

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

The 'e' Equation

Particle A ma...

Question

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 $m_{A}$ and $m_{B}$ respectively. Then

A

2 m_{A} = m_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

m_{A} = 3 m_{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

4 m_{A} = m_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\sqrt{3} m_{A} = m_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $m_{A} = 3 m_{B}$
$_{i} = k_{i} f o r V_{B} = 0_{f} =_{f} f o r V_{B} = V_{f (A)} = (\frac{m_{A} - m_{B}}{m_{A} + m_{B}}) U_{A} + (\frac{{2 m}_{A}}{m_{A} + m_{B}})_{i (B)} ∵ (\frac{{2 m}_{A}}{m_{A} + m_{B}})_{i (B)} = 0 \Rightarrow_{f (A)} = (\frac{m_{A} - m_{B}}{m_{A} + m_{B}}) U_{A}_{f (B)} = (\frac{{2 m}_{A}}{m_{A} + m_{B}}) U_{A} (\frac{m_{A} - m_{B}}{m_{A} + m_{B}}) = (\frac{{2 m}_{A}}{m_{A} + m_{B}}) \Rightarrow m_{A} = 3 m_{B}$

Suggest Corrections

thumbs-up

1

Similar questions

A

makes a perfectly elastic collision with another particle

B

at rest. After collision, they fly apart in opposite directions with equal speeds. The ratio of masses

\frac{m_{A}}{m_{B}}

A

makes a perfectly elastic collision with another particle

B

at rest. After collision, they fly apart in opposite directions with equal speeds. The ratio of masses

\frac{m_{A}}{m_{B}}

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 of mass

M_{A}

M_{B}

and there velocities are

V_{A}

V_{B}

respectively collides. After collision they inter changes their velocities then ratio of

\frac{M_{A}}{M_{B}}

Q. Two cars A and B have masses

m_{A}

m_{B}

respectively, with

m_{A} > m_{B}

. Both the cars are moving in the same direction with equal kinetic energy,. If equal braking force is applied on both, then before coming to rest

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Realistic Collisions

PHYSICS

Watch in App

explore_more_icon

Explore more

The 'e' Equation

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon