To simulate car accidents, auto manufacturers 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 kmh^(1)on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 xx 10^(-3)Nm^(-1) What is the maximum compression of the spring?

To simulate car accidents, auto manufacturers study the collisions of

1.	To simulate car accidents, auto manufacturers 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 kmh^(1)on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 xx 10^(-3)Nm^(-1) What is the maximum compression of the spring?
Answer» Solution :At MAXIMUM comprssion `x_(m)`, the K.E. of the car is converted ENTIRELY into the P.E. of the spring `therefore 1/2kx^(2)m=1/2mv^(2) " or " x_(m)=2m`