11. (10 pts) A vertical spring (ignore its mass), with a spring constant of 900

Question

11. (10 pts) A vertical spring (ignore its mass), with a spring constant of 900 N/m, is attached to a table and is compressed by 0.150 m. Using the work-energy principle, calculate (a) the upward speed the spring gives to a 0.300 kg ball when it is released and, (b) the height ehthe ball reaches above its original position (starting with the spring compressed). Hint: First find out how much Kinetic energy the ball has at "liftoff" from the spring. Then use energy conservation to find how high it goes.

Explanation / Answer

here,

spring constant , K = 900 N/m

x = 0.15 m

a)

let the upward speed be u

using conservation of energy

0.5 * k * x^2 = m * g * x + 0.5 * m * u^2

0.5 * 900 * 0.15^2 = 0.3 * 9.81 * 0.15 + 0.5 * 0.3 * u^2

solving for u

u = 8.03 m/s

b)

let the height achived from initial position be h

using conservation of energy

0.5 * K * x^2 = m * g * h

0.5 * 900 * 0.15^2 = 0.3 * 9.81 * h

solving for h

h = 3.44 m

the maximum height is 3.44 m

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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