A body of mass 5 kg under the action of constant force F = F x i ^ + F y j ^ has velocity at t = 0 s as v = ( 6 i ^ − 2 j ^ m / s ) and at t = 10 s as v = + 6 j ^ m / s . The force F is:

Question

A body of mass 5 kg under the action of constant force F = F x ​ i ^ + F y ​ j ^ ​ has velocity at t = 0 s as v = ( 6 i ^ − 2 j ^ ​ m / s ) and at t = 10 s as v = + 6 j ^ ​ m / s . The force F is:

TestHub · Accepted Answer

From question, Mass of body, m = 5 kg Velocity at t = 0 , u = ( 6 i ^ − 2 j ^ ​ ) m / s Velocity at t = 10 s , v = + 6 j ^ ​ m / s Force, F = ? Acceleration, a = t v − u ​ = 10 6 j ^ ​ − ( 6 i ^ − 2 j ^ ​ ) ​ = 5 − 3 i ^ + 4 j ^ ​ ​ m / s 2 Force, F = ma = 5 × 5 ( − 3 i ^ + 4 j ^ ​ ) ​ = ( − 3 i ^ + 4 j ^ ​ ) N

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