Question: A 2000-kg vehicle is to be crashed into a rigid barrier supported by a very stiff spring (see Fig. 1.18) that simulates a crash into

A 2000-kg vehicle is to be crashed into a rigid barrier supported by a very stiff spring (see Fig. 1.18) that simulates a crash into a smaller 1400-kg vehicle. What should be the spring constant K if the spring is to compress a maximum distance of 10 cm when the vehicle is traveling at 80 kph? The potential energy stored in a spring is Kx2 /2.
(A) 140 MN/m
(B) 100 MN/m
(C) 60 MN/m
(D) 20 MN/m
Figure 1.18

80 kph

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