A car is supported by four identical coil springs

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

1200\,\text{kg}

car is supported by four identical coil springs. During a large bump, each spring compresses by

0.15\,\text{m}

. Only

60\%

of the energy stored in the springs is available to raise the car’s centre of mass. Determine the minimum spring constant

k

for each coil if the car’s centre of mass must rise at least

0.10\,\text{m}

after compression. (a)

1.74\times10^{5}\,\text{N/m}

(b)

4.4\times10^{4}\,\text{N/m}

(c)

2.6\times10^{4}\,\text{N/m}

(d)

6.5\times10^{4}\,\text{N/m}