An engine is attached to a wagon through a shock absorber of length 1 . 5 m . The system with a total mass of 40 , 000 kg is moving with a speed of 72 km h - 1 when the brakes are applied to bring it

Question

An engine is attached to a wagon through a shock absorber of length 1 . 5 m . The system with a total mass of 40 , 000 kg is moving with a speed of 72 km h - 1 when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by 1 . 0 m . If 90 % of energy of the wagon is lost due to friction, the spring constant is _ _ _ _ _ _ _ _ _ × 10 5 N m - 1 .

TestHub · Accepted Answer

Work = Δ K . E . W triction + W spring = 0 - 1 2 m v 2 - 90 100 1 2 m v 2 + W spring = - 1 2 m v 2 w spring = - 10 100 × 1 2 m v 2 - 1 2 k x 2 = - 1 20 m v 2 ⇒ k = 40000 × ( 20 ) 2 10 × ( 1 ) 2 = 16 × 10 5

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