Which of the following must an engineer take into account when designing a roller coaster? the mass of the roller coaster
the rates at which the roller coaster will change directions
the total mass of the people that will ride the roller coaster
the acceleration of the roller coaster due to gravity

Explanation:

All of the above.

Certainly a coaster could be designed without considering any one item of mass, gravity, or rates of direction change, but the success of the ride would be highly suspect.

Ignoring mass (of cars and/or riders) could lead to support members not being strong enough.

Ignoring rates of change of direction could lead to support members not being strong enough or make the forces on the riders uncomfortable.

Ignoring gravity could lead to support members not being strong enough or make the forces on the riders uncomfortable.

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

  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