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InterviewSolution
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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 18.0 kmh-1 on a smooth road and colliding with a horizontally mounted spring of spring constant 6.25 × 10-3 Nm-1 . What is the maximum compression of the spring? |
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Answer» At maximum compression xm , the K.E. of the car is converted entirely into the P.E. of the spring. ∴ \(\frac{1}{2} kx^2_m\) = \(\frac{1}{2} mv^2\) or \(x_m\) = 2m. |
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