Question
Stuck on part B, please give a full detailed answer. This is the work I have completed for part A that was correct.
(25%) Problem 1: A block of mass m 4.5 kg is attached to a spring with spring constant k 980 N/m. It is initially at rest on an inclined plane that is at an angle of 0 22° 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-0.14 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 m 4.5 kg k 980 N/m d 0.14 m - 22° 0.12 ? 50% Part (a) What is the block's initial mechanical energy, E0 in J? spring remains attached to both the block and the fixed wall throughout its motion. Otheexpertta.com 5000 Part b) If the spring pushes the block up the incline what distance Lin meters, will the block travel before com ng t rest? The Grade Summary Deductions Potential 996 916
Explanation / Answer
Part B -
From Part A -
Total initial energy of the block = initial kinetic energy of the block = 9.604 J
This energy will be consumed by the system tp attain the potential energy by the block.
So, we have the equation -
m*g*h = 9.604
=> 4.5*9.8*h = 9.604
=> h = 9.604 / (4.5*9.8) = 0.217 m
So, distance along the incline, L = h/sin22 = 0.217 / sin22 = 0.5793 m = 57.93 cm