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QNEET-2016-Ph-1089: NEET 2016 Physics - Class 11 NEET-2016-Ph-1089 Solution: A body of mass 1 kg begins to move under the action of a time…
A body of mass 1 kg begins to move under the action of a time dependent force where and are unit vectors along x and y axis. What power will be developed by the force at the time t?
Multiple Choice Options
- A (2t 3 + 3t 4 ) W
- B (2t 3 + 3t 5 ) W
- C (2t 2 + 3t 3 ) W
- D (2t 2 + 4t 4 ) W
Step-by-Step Verified Solution
Given force ( F _ ) = 2 t i ^ + 3 t 2 j ^
According to Newton's second law of motion,
m d v _ d t = 2 t i ^ + 3 t 2 j ^ ( m = 1 k g )
_ � 0 v _ d v _ = � 0 t ( 2 t i ^ + 3 t 2 j ^ ) d t
_ v = t 2 i ^ + t 3 j ^
Power (P) = F _ . v _ ( 2 t i ^ + 3 t 2 j ^ ) ( t 2 i ^ + t 3 j ^ )
= (2t 3 + 3t 5 )W