Question 37
Work, Energy and PowerA 50.0kg block is dropped on a spring from a point 10m as shown in the diagram. If the force constant of the spring is 4.0 × 104 Nm−1, find the maximum compression of the spring. [g = 10ms−2]
- A.1.25m
- B.0.50m
- C.0.25m
- D.0.05m
Show the answer and explanation
Answer: B (0.50m)
Explanation
Ignoring the small extra drop during compression, mgh = ½ke2: 50 × 10 × 10 = ½ × 4.0 × 104 × e2, so e2 = 0.25 and e = 0.50 m.