Newton’s law of universal gravitation.. a.. is equivalent to kepler’s first law of planetary motion.. b.. can be used to derive kepler’s third law of planetary motion.. c.. can be used to disprove kepler’s laws of planetary motion.. d.. does not apply to kepler’s laws of planetary motion.

b.. can be used to derive Kepler’s third law of planetary motion..

Explanation:

As per Newton's law of gravitation we can say that two masses separated by some distance "r" will attract each other with force given by

now we can say that

if all planets revolves around the sun in approx circular orbit then the centripetal force on the planets will be due to gravitational force of Sun

so we can say

so by solving above equation we can find average orbital speed of all planets and hence we can derive all Kepler's law

so correct answer will be

b.. can be used to derive Kepler’s third law of planetary motion..

  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

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.