A body of mass m_{1} moving with an unknowm velocity of v_{1}\hat{i}, undergoes a collinear collision with a body of mass m_{2} moving with a velocity v_{2}\hat{i}. After collision ,m_{1} and m_{2} move with velocities of v_{3}\hat{i} and v_{4}\hat{i}, respectively.

If m_{2}=0.5m_{1} and v_{3}=0.5v_{1}, the v_{1} is :

 

  • Option 1)

    v_{4}-\frac{v_{2}}{2}

  • Option 2)

    v_{4}-v_{2}

  • Option 3)

    v_{4}-\frac{v_{2}}{4}

  • Option 4)

    v_{4}+v_{2}

Answers (1)

before collision:

after collision:

\left ( P_{initial} \right )_{total}=\left ( P_{final} \right )_{total}

m_{1}v_{1}\hat{i}+m_{2}v_{2}\hat{i}=m_{1}v_{3}\hat{i}+m_{2}v_{4}\hat{i}

m_{2}=0.5m_{1}  &  v_{3}=0.5 v_{1}

\hat{i}\left ( m_{1}v_{1}+0.5 m_{1}v_{2} \right )=\hat{i}\left ( m_{1}v_{3}+0.5 m_{1}v_{4} \right )

v_{1}+0.5 v_{2}=v_{3}+0.5v_{4}

v_{1}+0.5 v_{2}=0.5v_{1}+0.5v_{4}\;\;\;\;\;\;\;\;\ \left ( v_{3}=0.5 v_{1} \right )

0.5v_{1}+0.5v_{2}=0.5v_{4}

v_{1}+v_{2}=v_{4}

v_{1}=v_{4}-v_{2}


Option 1)

v_{4}-\frac{v_{2}}{2}

Option 2)

v_{4}-v_{2}

Option 3)

v_{4}-\frac{v_{2}}{4}

Option 4)

v_{4}+v_{2}

Most Viewed Questions

Preparation Products

JEE Main Rank Booster 2022

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main 2022 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main 2023 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

AI Powered Self Study Material, Unlimited Mock Tests, Mentorship, Doubt Chat Support, Live Booster Classes and Q&A Discussion.

₹ 23999/- ₹ 14999/-
Buy Now
Knockout JEE Main (Eight Months Subscription)

AI Powered Self Study Material, Unlimited Mock Tests, Mentorship, Doubt Chat Support, Live Booster Classes and Q&A Discussion.

₹ 15999/- ₹ 12499/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions