A constant force acting on a body of mass 4.0 kg change it speed from 3.0ms^-1 to 4.5ms^-1 in 26s. The direction of the motion of the body remain same, the magnitude of the force will be.
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Answers
→ Hey Mate:-
→ Given Question:-
→ A constant force acting on a body of mass 4.0 kg change it speed from 3.0ms^-1 to 4.5ms^-1 in 26s. The direction of the motion of the body remain same, the magnitude of the force will be.
→ To Find:-
→ The Magnitude of the force?
→ Equations Used :-
→ v = u + αt
→ F = mα
→ Solution:-
→Mass of the Body (m) = 4kg
→ Initial Speed of the Body (u) = 3kg
→ Final Speed of the body v = 4.5m/s
→ Time t = 26 speed.
→ Now Acceleration,
→ v = u + αt
→ α = ( v - u / t )
→ α = ( 4.5 - 3 / 26)
→ α = 1.5 / 26
→ α = 0.0576923077
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→ Now Force,
→ Use Newton's second law of motion
→ F = mα
→ F = 4 × 0.0576923077
→ F = 0.230769231
→ ∴ The Magnitude of the Force is 0.230769231.
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