JEE Main 202125 JulyEvening Shift
- Exam
- JEE Main
- Year
- 2021
- Date
- 25 July
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Laws of Motion
JEE Main 2021 · 25 July · Evening Shift · Physics · Laws of Motion
A force → F = ( 40 ^ i + 10 ^ j ) N acts on a body of mass 5kg . If...
A force \overset{\to}{F} = ( 40\overset{^}{i} + 10\overset{^}{j} ) N acts on a body of mass . If the body starts from rest, its position vector at time will be
Options
- A( 100\overset{^}{i} + 400\overset{^}{j} ) m
- B( 100\overset{^}{i} + 100\overset{^}{j} ) m
- C( 400\overset{^}{i} + 100\overset{^}{j} ) m
- D( 400\overset{^}{i} + 400\overset{^}{j} ) m
Correct answer
C. ( 400\overset{^}{i} + 100\overset{^}{j} ) m
Step-by-step solution
\dfrac{d\overset{\to}{v}}{dt} = \overset{\to}{a} = \overset{\to}{F}m = ( 8\overset{^}{i} + 2\overset{^}{j} ) m{s}^{- 2}
\dfrac{d\overset{\to}{r}}{dt} = \overset{\to}{v} = ( 8t\overset{^}{i} + 2t\overset{^}{j} ) m{s}^{- 1}
\overset{\to}{r} = ( \overset{^}{i} + 2\overset{^}{j} ) \dfrac{{t}^{2}}{2}m
At
\overset{\to}{r} = [ ( 8\overset{^}{i} + 2\overset{^}{j} ) 50 ] m
⇒ \overset{\to}{r} = ( 400\overset{^}{i} + 100\overset{^}{j} ) m