a car of mass 1000 kg moving with a speed of 18 km h if the cofficent of fk is 0.5. calculate the maximum compression of the spring when the spring constant is 6.26*10^3
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Answer:
18km perhour= 18×1000÷ 3600
= 5m/s
Conservation of energy can be used to solve this problem
Initial energy ( due to kinetic energy- work done by friction)= Work done by spring
Kinetic energy = mv²÷ 2 = 500× 25= 12500
Work due to friction = 0.5× Normal force
= 0.5 × 1000×10= 5000
Work done by spring= kx²÷ 2
=3.13×10³× x²
12500- 5000= 3.13×10³×x²
x=1.547m
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