A body of mass 4 kg is placed on a plane at a point P having coordinate ( 3 , 4 ) m . Under the action of force F = ( 2 i ^ + 3 j ^ ) N , it moves to a new point Q having coordinates ( 6 , 10 ) m in

Question

A body of mass 4 kg is placed on a plane at a point P having coordinate ( 3 , 4 ) m . Under the action of force F = ( 2 i ^ + 3 j ^ ​ ) N , it moves to a new point Q having coordinates ( 6 , 10 ) m in 4 sec . The average power and instanteous power at the end of 4 sec are in the ratio of :

TestHub · Accepted Answer

​ ⟨ p ⟩ = 4 ( 2 i ^ + 3 j ^ ​ ) ⋅ ( 3 i ^ + 6 j ^ ​ ) ​ = 6 a = ( m F ​ = 2 1 ​ i ^ + 4 3 ​ j ^ ​ ) v at t = 4 sec = ( 2 1 ​ i ^ + 4 3 ​ j ^ ​ ) × 4 = ( 2 i ^ + 3 j ^ ​ ) P ins ​ = ( 2 i ^ + 3 ) ( 2 i ^ + 3 j ^ ​ ) = 13 P ins ​ ⟨ P ⟩ ​ = 13 6 ​ ​

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