An object of mass 8 kg starts to move from rest under the action of a variable force F = 3 x N where x is the distance (in m ) covered by the object. If initially, the position of the object is x = 2 m , then find its speed (in m s - 1 ) wh

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An object of mass 8 kg starts to move from rest under the action of a variable force F = 3 x N where x is the distance (in m ) covered by the object. If initially, the position of the object is x = 2 m , then find its speed (in m s - 1 ) when it crosses x = 10 m .

Quantrex Academy · Accepted Answer

Correct answer: 6

Increment in kinetic energy = work done 1 2 m v 2 - u 2 = &#8747; x 1 x 2 F . d x = &#8747; 2 10 3 x &#160; d x 1 2 m v 2 = 3 2 x 2 2 10 = 3 2 100 - 4 1 2 &#215; 8 &#215; v 2 = 3 2 &#215; 96 v = 6 &#160; m &#160; s - 1

An object of mass 8 kg starts to move from rest under the action of a variable force F = 3 x N where x is the distance (in m ) covered by the object. If initially, the position of the object is x = 2 m , then find its speed (in m s - 1 ) when it crosses x = 10 m .

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