A crate weighing 523 N rests on a plank that makes a 22.0  angle with the ground. Find the components of the crate's weight force parallel and perpendicular to the plank. ( Fgx = –196 N, Fgy = –485 N)

Explanation:

The weight of the crate will e equal to its normal reaction R

Since R = mgsin theta = W

W = mgsintheta ( resolved along the vertical perpendicular to the plank

Fy = 523sin22°

Fy = 195.92N

Since the weight is acting along the negative y direction,

Fy = -195.92N

The force parallel to the plank will be the force acting in the horizontal direction.

Fx = Fcos theta

Fx = 523cos 22°

Fx = 484.9N

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

where are the vectors ?