To simulate car accidents, auto manufactures study the collisions of moving cars with mounted springs of different 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 coliding 6.25 xx 10^(3) N m^(-1). What is the maximum compression of the spring ?

To simulate car accidents, auto manufactures study the collisions of m

1.	To simulate car accidents, auto manufactures study the collisions of moving cars with mounted springs of different 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 coliding 6.25 xx 10^(3) N m^(-1). What is the maximum compression of the spring ?
Answer» Solution :At MAXIMUM COMPRESSION `x_(m)`, the potentia energy V of the spring is equal to the kinetic K of the MOVING car from the principle of conservation of MECHANICAL energy. `K=UrArr(1)/(2)mu^(2)=(1)/(2)kx_(m)^(2)rArrx_(m)=usqrt((m)/(k))rArrx_(m)=usqrt((m)/(k))` We obtain `x_(m)` = 2.00m