An object of mass m=2ks is attached to a wall by a spring with spring constant k

Question

An object of mass m=2ks is attached to a wall by a spring with spring constant k=12N/m at relaxed position x0. The static friction coefficient between the block and the floor is 0.6 and the the kinetic friction coefficient is 0.3.

We compress the spring by x1=1m and when we release it the mass starts moving.

What is the distance from the point x1 to the point where the block comes to a stop again?

Whats the travel time between x1 and the point where the block comes to a stop again?

*********************************************

I CANNOT REMOVE THE FOLLOWING BUT IT'S NOT PART OF THE PROBLEM.

An object of mass m=2ks is attached to a wall by a spring with spring constant k=12N/m at relaxed position x0. The static friction coefficient between the block and the floor is 0.6 and the the kinetic friction coefficient is 0.3. We compress the spring by x1=1m and when we release it the mass starts moving. What is the distance from the point x1 to the point where the block comes to a stop again? Whats the travel time between x1 and the point where the block comes to a stop again?

Explanation / Answer

by energy conservation,

.5*12*1*1=(0.3*2*9.81*x) + 0.5*12*((x-1)^2)

hence on solving we get, x= 1.019(from compressed position)

now,acceleration=.3*9.81 + 6*x (since a=f/m)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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