A plate falls vertically to the floor and breaks up into three pieces, which slide along the floor. Immediately after the impact, a 400-g piece moves along the x-axis with a speed of 2.00 m/s and a 430-g piece moves along the y-axis with a speed of 1.50 m/s. The third piece has a mass of 100 g. In what direction does the third piece move?

The direction from negative x direction will be 38.87° .

Explanation:

 Given data

The masses of the plates pieces and their velocity is given as follows

m₁= 400 g     u=2.00 i m/s

m₂=430 g     v= 1.50 j m/s

m₃=100 g    

let takes the final velocity of mass m₃ = w

by using  conservation of linear momentum as follows

initial momentum =final momentum

(m₁+ m₂+ m₃) x V = m₁ u +  m₂ v + m ₃w

The initial velocity of the system is zero ,that is why V= 0 m/s

Now by putting the values in the above equation

( 930 g) x 0 = 400 x 2 i + 430 x 1.5 j + 100 x w

100 w= - 800 i - 645 j

w = - 8 i - 6.45 j

The direction of velocity of mass m₃ is given as follows

Therefore the direction from negative x direction will be 38.87° .

  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