Spring Problems using Work-Energy Theorem
Q1. A block of mass 2 kg moving with velocity 4 m/s Q2. A spring (k=100 N/m) compressed by 0.2 m
compresses a spring (k=200 N/m). Find maximum launches a 1 kg block. Find its velocity at natural length.
compression.
Q3. A 3 kg block falls from 0.5 m on spring (k=600 N/m). Q4. A 10 g bullet at 100 m/s embeds in spring (k=400
Find max compression. N/m). Find compression.
Q5. Spring (k=200 N/m) compressed by 0.1 m pushes 2 Q6. A 1 kg block projected at 5 m/s compresses spring
kg block on rough surface (µ=0.25). Find distance (k=500 N/m). Find compression.
before stop.
Q7. A 0.5 kg block attached to spring (k=200 N/m), Q8. A 4 kg block falls from 1 m on spring (k=800 N/m).
pulled 0.1 m. Find max speed. Find max compression.
Q9. Spring (k=1000 N/m) compressed 0.05 m releases 2 Q10. A 2 kg block moving at 10 m/s collides with spring
kg block. Find velocity at natural length. (k=500 N/m). Find compression.
Q11. A 2 kg block compresses spring (k=800 N/m) by Q12. A 1 kg mass moving at 2 m/s compresses spring
0.1 m, then moves on rough surface (µ=0.2). Find (k=50 N/m). Find compression.
distance.
Q13. A 5 kg block dropped from 1.25 m on spring Q14. A 2 kg block compresses spring (k=200 N/m) by
(k=1000 N/m). Find max compression. 0.2 m. Find speed when compression is 0.1 m.
Q15. A spring (k=400 N/m) compressed 0.2 m pushes 1
kg block on surface (µ=0.1). Find distance before stop.
Answer Key
Q1: 0.40 m Q2: 2.0 m/s
Q3: 0.279 m Q4: 0.50 m
Q5: 0.20 m Q6: 0.224 m
Q7: 2.0 m/s Q8: 0.370 m
Q9: 1.12 m/s Q10: 0.632 m
Q11: 1.0 m Q12: 0.283 m
Q13: 0.407 m Q14: 1.73 m/s
Q15: 8.0 m
