Online HW 05 Begin Date: 9/29/2017 5:00:00 PM -- Due Date: 10/6/2017 5:00:00 PM
ID: 1772514 • Letter: O
Question
Online HW 05 Begin Date: 9/29/2017 5:00:00 PM -- Due Date: 10/6/2017 5:00:00 PM End Date: 10/13/2017 5:00:00 PM (10%) Problem 9: A block of mass m 1.5 kg is attached to a spring with spring constant k = 930 N/m. It is initially at rest on an inclined plane that is at an angle of = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is ,-0.12. In the initial position, where the spring is compressed by a distance of d= 0.12 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 0 Randomized Variables rn = 1.5 kg k = 930 N/m d=0.12 m = 23° Pk= 0.12 ©theexpertta.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 3% 97% cos0 cotan0 asinO acos0 atan)acotan)sinh( coshO tanhO cotanhO Degrees O Radians Submissions Attempts remaining: 4 sinO % per attempt) detailed view 1% 1% 1% 0 END DELCLEAR Submit HintExplanation / Answer
N = m g cos23
fk = uk N = 0.12 mg cos23
applying Work-enenrgy theorem,
Work done by gravity + Work done by spring + work done by spring = change in KE
(- 1.5 x 9.8 x sin23 x L) + (930 x 0.12^2 /2 ) + (-0.12 x 1.5 x9.8 x cos23 x L) = 0
7.37L = 6.696
L = 0.91 m
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