Problem $2($not linked to a video problem... just a challenge for you!$)$

An $8$ kg block is dragged along a horizontal tabletop $(\backslash (\backslash$mu$\_\{\backslash$mathrm$\{$k$\}\}=0\mathrm{.}3\backslash ))$ by a cord having a tension of $50$ N and making an angle of $30$ degrees above the horizontal. The block starts from rest and is pulled $2$ m across the surface. At the end of the $2$ m $,$ the cord is cut free from the block, which continues onto a frictionless surface shaped like the lower part of a circle of radius $50$ m $,$ then over a frictionless circular rise or radius $25$ m $.$ It continues across the horizontal frictionless surface, eventually encountering a $40$ degree, $3$ m $-$ ramp that takes it down and deposits it through the open door of an elevator where it is quickly brought to rest by the carpeted floor of the elevator. The elevator starts at rest, then accelerates upward at $\backslash (0\mathrm{.}8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash )$ until it reaches its cruising speed of $\backslash (6\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ It maintains this speed until a little before reaching the top floor, at which point it slows, losing $\backslash (1\mathrm{.}2\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ every second until it sits at rest at the top floor.

$\backslash [$

$\backslash$frac$\{$I$\}\{1\backslash$mathrm$\{$I$\}\}$

$\backslash ]$

Your job is to determine the apparent weight of the block at each of the points listed below:

Point A: While the block is being pulled by the cord.

Point B: When the block is at the top of the hill.

Point C: When the block is at the bottom of the dip.

Point D: When the block is traversing the flat frictionless surface$/$

Point E: When the block is on the incline.

Point F: When the block is in the elevator as the elevator is moving up and getting faster.

Point G: When the elevator is moving up at its full cruising speed.

Point H: When the elevator is slowing as it approaches the top floor.

Point I: When the elevator sits at rest on the top floor.

Show all you work neatly on the next page.