A block (mass m) hangs from a spring (spring constant k). The block is released

Question

A block (mass m) hangs from a spring (spring constant k). The block is released from rest a distance d above its equilibrium position.

(a) What is the speed of the block as it passes through the equilibrium point? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity.) v =

(b) What is the maximum distance below the equilibrium point that the block will reach? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity.) x =

Explanation / Answer

m g - k xe = 0
xe = m g/k.
(1/2) k(xe - d)^2 + m g d = (1/2) k xe^2 + (1/2) m v^2
(a) v = d*sqr(k/m)
(1/2) k (xe - d)^2 + m g d = (1/2) k (xe + h)^2 - mg h
(b) h = d   

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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