JEE Main 20241 FebruaryEvening Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 1 February
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Laws of Motion
JEE Main 2024 · 1 February · Evening Shift · Physics · Laws of Motion
A body of mass 4kg experiences two forces → F 1 = 5 ^ i + 8 ^ j + 7...
A body of mass experiences two forces \overset{\to}{F}1 = 5\overset{^}{i} + 8\overset{^}{j} + 7\overset{^}{k} and \overset{\to}{F}2 = 3\overset{^}{i} - 4\overset{^}{j} - 3\overset{^}{k .} The acceleration acting on the body is:
Options
- A- 2\overset{^}{i} - \overset{^}{j} - \overset{^}{k}
- B4\overset{^}{i} + 2\overset{^}{j} + 2\overset{^}{k}
- C2\overset{^}{i} + \overset{^}{j} + \overset{^}{k}
- D2\overset{^}{i} + 3\overset{^}{j} + 3\overset{^}{k}
Correct answer
C. 2\overset{^}{i} + \overset{^}{j} + \overset{^}{k}
Step-by-step solution
Net force \overset{\to}{F} = \overset{\to}{F}1 + \overset{\to}{F}2 = 8\overset{^}{i} + 4\overset{^}{j} + 4\overset{^}{k}
Therefore, required acceleration \overset{\to}{a} = \overset{\to}{F}m = 2\overset{^}{i} + \overset{^}{j} + \overset{^}{k}