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To simulate car accidents, auto manufactrers study the collisions of moving cars with mounted springs of differnet spring constants. Consider a typical simulation with a car of mass 1000 kg moving with a speed 18.0 km/h on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25xx10^(3)N m^(-1). What is the maximum compression of the spring ? |
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Answer» Solution :At maximum compression `x_(m)`, the potentia energy V of the spring is equal to the kinetic energy K of the moving car from the principle of conservation of MECHANICAL energy. `K = UrArr (1)/(2) m u^(2)=(1)/(2) kx_(m)^(2)` `rArr x_(m)= u SQRT((m)/(k)) rArr x_(m)= u sqrt((m)/(k))` We obtain `x_(m)=2.00m` |
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