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To stimulat car accidents, the auto manu...

To stimulat car accidents, the auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000kg moving with a speed of `18.0 km//h` on a smooth road and colliding with a horizontally mounted spring of spring constant `6.25xx10^(3)Nm^(-1)`. What is the maximum compression of the spring?

Text Solution

Verified by Experts

At maximum compression `x_(m)`, the K.E. of the car is converted entirely into the P.E. of the spring.
`1/2kx_(m)^(2)=1/2mv^(2)`
or `x_(m)=2m`
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