A box of mass m on the floor is connected to ahorizontal spring of force constan

Question

A box of mass m on the floor is connected to ahorizontal spring of force constant k. The coefficient ofkinetic friction between the box and the floor isk. The other end of the spring is connectedto a wall. The spring is initially unstressed. If the box is pulledaway from the wall a distance d0 and released,the box slides toward the wall. Assume the box does not slide sofar that the coils of the spring touch.        releaseposition     d1 = 2d0-2k(mg/k)
(b) Assuming d1 > d0,obtain an expression for the speed of the box when it has slid adistance d0 following the release. (Use thefollowing variables as necessary: m, g, k, d_0 ford0, and u_k fork.)

(c) Obtain the special value of k such thatd1 = d0. (Use the followingvariables as necessary: m, g, k, d_0 for d0,and u_k for k.)

Explanation / Answer

b) kd02/2 = mv2/2 +kmgd0v =[(kd0 -2kmg)d0/m] c) 2d0 - 2kmg/k = d0 k = kd0/(2mg)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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