Apizza delivery driver must make three stops on her route. she will first leave the restaurant and travel 4 km due north to the first house. the next house is 6 km away at 45° south of west according to her map. the final stop is 5 km away at 60° north of west. what is her displacement from the restaurant to the final stop?

Explanation:

       This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

       Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

       By simple calculations, we can derive the unit vectors in the directions North, South of West and North of West respectively.

       So Total displacement vector = Sum of individual displacement vectors.

       Displacement vector =

       Magnitude of Displacement =

∴ Total displacement =

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

where is the circuit diagram ?