a body is acted upon by a force which is directly proportional to the

1.	a body is acted upon by a force which is directly proportional to the distance covered ‘s' the work done will be proportional
Answer» F is DIRECTLY PROPORTIONAL to the DISTANCE ⇒F=kx ⇒mv(dv/dt)=kx ⇒v(dv/dt)=kx/m ⇒∫v.dv/dt =k/m∫x.dx ⇒v²/2 =kx²/2m ⇒1/2mv²=kx²/2 ⇒Δ1/2mv² ∝x² ⇒ W∝x²

a body is acted upon by a force which is directly proportional to the distance covered ‘s' the work done will be proportional

Answer»

F is DIRECTLY PROPORTIONAL to the DISTANCE

⇒F=kx

⇒mv(dv/dt)=kx

⇒v(dv/dt)=kx/m

⇒∫v.dv/dt =k/m∫x.dx

⇒v²/2 =kx²/2m

⇒1/2mv²=kx²/2

⇒Δ1/2mv² ∝x²

⇒ W∝x²

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a body is acted upon by a force which is directly proportional to the distance covered ‘s' the work done will be proportional

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