An object is dragged along a horizontal surface by the machine which delivers a constant power. How does the distance moved by the object is dependent on time t ?

Question

An object is dragged along a horizontal surface by the machine which delivers a constant power. How does the distance moved by the object is dependent on time t ?, t 3 4, t 3 2, t 1 4, t 1 2

MARKS App · Accepted Answer

Power = Work T i m e ⁡ = Force × distance Time = Force × velocity ∴ Force × velocity = constant ( K ⁡ ) or ( m ⁡ a ) ( a t ⁡ ) = K ⁡ or a = ( K ⁡ m ⁡ t ⁡ ) 1 / 2 ∵ s ⁡ = 1 2 a t ⁡ 2 ∴ s ⁡ = 1 2 ( K ⁡ m ⁡ t ⁡ ) 1 / 2 t ⁡ 2 = 1 2 ( K ⁡ m ⁡ ) 1 / 2 t 3 / 2 or s is proportional to t 3 /2

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