The block in the figure below lies on a horizontal frictionlesssurface and is attached to the free end of the spring, with aspring constant of 35 N/m. Initially, the spring is at its relaxedlength and the block is stationary at position x = 0. Then anapplied force with a constant magnitude of 3.4 N pulls the block inthe positive direction of the x axis, stretching the spring untilthe block stops.
Assume that the stopping point is reached.
http://www.webassign.net/hrw/7-10a.gif
(a) What is the position of the block?
( for this I worked out an equation from the worknet =Ke formula. Iused an anti derivative to find the spring force into the equationand then i came out with an equation
Fx - (k(x^2/2)= KEf
I know i am supposed to get the x by itself but i have no ideahow.
and I already tried f=kx to x=f/k, to get a number that is .0678which was way off can anyone help me outon this problem I amstumped
(b) What is the work that has been done on the block by the appliedforce?
(c) What is the work that has been done on the block by the springforce?
During the block's displacement, find the following values.
(d) The block's position when its kinetic energy is maximum.
e) The value of that maximum kinetic energy.