can someone please help me with this question quick...
Which of the following equations expresses Newton's law of universal gravitation?
a. Fc=MVt^2/r
b. Fg=M1M2/r
c. g=Gme/r^2
d. Fg=Gmme/r^2
i really need help..thanks:-)
Two of the equations deal with the force of gravity. If the "g" is answer d. is a subscript, it is the formula for the gravitational force (weight) of an object of mass m at a distance r from the center of the earth.
Equation c. is also a correct equation for the acceleration of gravity (g) for an object located r from the center of the earth.
Both c. and d, are correct, but not really "universal" since they only deal with the gravity field of the earth.
So all of these choices are flawed in one way or another.
which do you think would be the best pick for me
dont know did u find out the answer?
Of course, I'd be happy to help you with this question.
Newton's law of universal gravitation states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Now, let's go through each of the options and determine which one represents Newton's law of universal gravitation:
a. Fc=MVt^2/r - This equation represents centripetal force in circular motion, not universal gravitation.
b. Fg=M1M2/r - This equation simply calculates the force of gravity without involving any gravitational constant. It does not represent Newton's law of universal gravitation.
c. g=Gme/r^2 - This equation represents the acceleration due to gravity near the surface of the Earth, where "g" is the acceleration due to gravity and "me" is the mass of the Earth. It does not represent Newton's law of universal gravitation.
d. Fg=Gmme/r^2 - This equation includes the gravitational constant "G", the masses of the objects "m" and "me" (where "m" is the mass of one object and "me" is the mass of the other object), and the distance between their centers "r". This equation correctly represents Newton's law of universal gravitation.
Therefore, the correct option expressing Newton's law of universal gravitation is:
d. Fg=Gmme/r^2