Question

To stimulate car accidents, auto manufacturers study the collision of moving cars with mounted spring of different spring constant. Consider a typical situation with the car of mass 1000 KG moving with the speed 18 km/h on a smooth road and colliding with the horizontally mounted spring of spring constant 6.25×10^3Nm^-1. Taking the coefficient of friction, to be 0.5 and calculate maximum compression of spring

Answer 1

Explanation:

Given,

2

1

×m×v

2

=

2

1

×k×x

2

1000×25=6250×k

2

k

2

=4

∴k=2

Maximum compression of the spring k=2