Question 2: A 263 g block is dropped onto avertical spring with force constant k

Question

Question 2:   A 263 g block is dropped onto avertical spring with force constant k = 2.52 N/cm. The blocksticks to the spring and the spring compresses 11.8 cm beforecoming momentarily to rest. While the spring is beingcompressed, how much work is done (a) by the force of gravity and(b) by the spring? (c) What was the speed of the blockjust before it hit the spring? (d) If this initial speed ofthe block is doubled, what is the maximum compression of thespring? Ignore friction. Question 2:   A 263 g block is dropped onto avertical spring with force constant k = 2.52 N/cm. The blocksticks to the spring and the spring compresses 11.8 cm beforecoming momentarily to rest. While the spring is beingcompressed, how much work is done (a) by the force of gravity and(b) by the spring? (c) What was the speed of the blockjust before it hit the spring? (d) If this initial speed ofthe block is doubled, what is the maximum compression of thespring? Ignore friction.

Explanation / Answer

263 g=0.263 kg=m k=252 N/m conservation of energy m*g*x+m*v2/2=k*x2/2 (1) x=0.118 m =>v=3.32 m/s work is done by the gravity: W1=mg*x= 0.304 J work done by the spring: W2=-k*x2/2= -1.75 J maximum compression is X we have (1) =>V now is 6.64 m/s =>X=22.5 cm

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.