I need help solving part b. If you could show your work step by step it would be

Question

I need help solving part b. If you could show your work step by step it would be greatly appreciated!

Class Management I Help Homework #13 Begin Date: 3/2/2017 8:00:00 PM Due Date: 3/6/2017 11:59:00 AM End Date: 5/12/2017 11:59:00 PM (17%) Problem 6: A block of mass m 3.5 kg is attached to a spring with spring constant k 970 N/m. It is initially at rest on an inclined plane that is at an angle of 6 29% with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is 0.19 In the initial position, where the spring is compressed by a distance of d 0.13 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. Randomized Variables 3.5 kg k 970 0.13 m. 29% 0.19 Otheexpertta.com 50% Part (a What is the block's initial mechanical energy, Eo in J? 50% Part (b) If the spring pushes the block up the incline, what distance. L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. Grade Summary Deductions Potential 96% sino coso tano 7 8 9 HOME Submissions Attempts remaining: 2 acoS 4% per attempt) 3 atano acotano sinh0 1 2 detailed view cosh tanh 0 cotanh0 IVO BACKSPACE CLEAR Degrees O Radians Hint Feedbac I give up! Submit

Explanation / Answer

(a)

Initial Mechanical energy = ½kx²

IME = ½*970*0.13²

IME = 8.1965 J

(b)
The weight (force) in line with the incline = 3.5*9.8*sin29 = 16.62N

The force of friction in line with the incline (opposing motion)

Ff = 0.19*3.5*9.8*cos29 = 5.69 N

So

8.1965 J = [16.62 + 5.69]*L

L = 0.367 meters

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