An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight, what direction must the plane fly relative to north to arrive at the destination? a. 4.78 degree E of N
b. 4.76 degree E of N
c. 85.2 degree W of N
d. 4.78 degree W of N
e. 4.76 degree W of N

A

Explanation:

Given that

V' = speed of flight of the plane, 120 m/s

V(0) = speed of the wind, 10 m/s

From a rough sketch, we can see that the flight takes place in shape of a right angled triangle of which both the speed of the plane and that of the wind are adjacent to each other. Thus, invoking Pythagoras' rule, we have

Cos Φ = V(0)/V', making Φ the subject of formula, we have

Φ = Cos^-1 [V(0)/V']

On substituting the values, we have

Φ = Cos^-1 [10/120]

Φ = Cos^-1 0.083

Φ = 85.2 to 1 decimal place

The final piece of the jigsaw is subtracting this angle from 90, so we have

90 - 85.2 = 4.78°

Since the wind is blowing at a direction due West during the flight, then the plane would have to fly due East instead.

  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

less than one you can't create energy