Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1150: NEET 2016 Physics - Class 11 NEET-2016-Ph-1150 Solution: A particle moves from a point \((-2 {i} + 5 {j})\) to \((4 {j}…

A particle moves from a point (−2i^+5j^)(-2\hat{i} + 5\hat{j}) to (4j^+3k^)(4\hat{j} + 3\hat{k}) when a force of (4i^+3j^) N(4\hat{i} + 3\hat{j})\ \text{N} is applied. How much work has been done by the force? 8 J 11 J 5 J 2 J

Multiple Choice Options

  • A 8 J
  • B 11 J
  • C 5 J
  • D 2 J

Step-by-Step Verified Solution

Here r 1 _ = ( _ 2 i ^ + 5 j ^ ) m r 2 _ = ( _ 4 j ^ + 3 k ^ ) m F _ = ( 4 i ^ + 3 j ^ ) N Work done by force F in moving from r 1 _ and r 2 _ W = F _ ( r 2 _ _ r 1 _ ) _ W = ( 4 i ^ + 3 j ^ ) ( 4 j ^ + 3 k ^ + 2 i ^ _ 5 j ^ ) _ W = ( 4 i ^ + 3 j ^ ) . ( 2 i ^ _ j ^ + 3 k ^ ) _ W = 8 + ( _ 3 ) = 5 J

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