Two objects attract each other with a gravitational force of 50 newtons from a given distance. if the distance between the two objects is increased by 5 times, what will be the changed force of attraction between them? a. 2 newtons b. 10 newtons c. 125 newtons d. 625 newtons

The gravitational force between two objects varies inversely with the square of the distance between them.

So if the distance is multiplied by a factor of 5, the force is multiplied by a factor of (1/5²).

New force = (50 Newtons) x (1/5²)

New force = (50 / 5²) Newtons

New force = (50 / 25) Newtons

New force = 2 Newtons (A)

  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