Question

Newton’s Gravitational Law predicts the force of attraction between two massive objects that are some distance apart: Fgravity = G m1m2/ r^2

(a) Given F is in units of Newtons, m is units of kilograms and r is in units of meters, what are the units of the universal gravitational constant, G, in meters, kilograms and seconds? Show your working.[2]

(b) If one of the objects doubles in mass, how much does the predicted force of attraction change between the two objects? [1]

(c) If both objects double in mass, how much does the predicted force of attraction change between the two objects? [1]

(d) If the distance between the two objects doubles, how much does the predicted force of attraction change between the two objects? [1]

(e) If the distance between the two objects halves, how much does the predicted force of attraction change between the two objects? [1]

(f) Given Newton’s laws predict that Fgravity = m1a1, and assuming that m2 = mEarth ≈ 1025kg, r = rEarth ≈ 107m and G ≈ 10^−10 hidden-units,

(i) what is the predicted gravitational acceleration a1 of m1 toward the Earth? [2]

(ii) what is the predicted gravitational acceleration a2 of the Earth toward m1, if m1 equals your body mass? Hint: use Newton’s law F1,2 = F2,1, where F1,2 = m2a2 and F2,1 = m1a [2]

(iii) Given your result for a2, if you jump off your bed and are in free-fall for √ 2 seconds, how far does the Earth move toward you? Hint: y = at^2/2 [2]

Answer #1

Newton’s so-called “discovery” of gravity actually
referrers to his statement that the force of gravitational
attraction between two objects is proportional to the product of
the masses of the objects and inversely proportional to the
distance between them (in equation form this is
F=Gm1m2/r2; where G is the
Universal Gravitational constant).
1.Is this a law or model?
2.What would have to be present (or absent) to convert it
to the other (model to law or law to model)?

Newton's Law - Please provide an explanation to the questions
below.
PART A: Two objects have a gravitational attraction of 100 N. If
the mass of ONE of the objects was doubled, what would the new
force of gravity between the objects be? - Answer is 200 N.
PART B: Two objects have a gravitational attraction
of 100 N. If the mass of both of the objects was doubled, what
would the new force of gravity between the objects be? -...

1. Pick two objects in your room. Physics could describe the
gravitational attraction between them or the
electric force between them – why is neither one big enough to
have noticeable effect?
2.If you double the distance between two charges, what happens
to the electric force between them?

Calculate, using Newton's law of gravity, the size of the force
of attraction between the earth and a mass of 2.0 kg on the earth.
Data: Distance to the center of earth from the surface = 6370 km.
Mass of earth = 5.98·1024kg. Gravitational constant G = 6.67·10-11
Nm2/kg2.
Calculate, using Newton's law of gravity, the size of the force
of attraction between the moon and a mass of 2.0 kg on the earth's
surface nearest the moon. Data: Distance...

1)Suppose we have two planets with the same mass, but the radius of
the second one is twice the size of the first one.
How does the free-fall acceleration on the second planet
compare to the first planet?
2) Consider two celestial objects with masses m1 and m2 with a
separation distance between their centers r.
If the separation distance r were to halve (1/2), what would
happen to the magnitude of the force of attraction?
3) Consider two celestial...

1. The electrostatic repulsion between two electrons is
(A) much greater than the gravitational attraction between the
electrons.
(B) about the same as the gravitational attraction between the
electrons.
(C) much less than the gravitational attraction between the
electrons.
(D) the answer to this depends upon the actual separation between
the electrons.
(E) trick question since there is no gravitational attraction
between electrons.
2. As two positive charges are brought closer together
(A) the repulsive force between them will decrease...

How much greater is the sun's gravitational force on
jupiter compared with the sun's gravitational force on the earth?
Use the following information: Mass of sun = 2*10^30kg. Mass of
jupiter = 1.9*10^27kg. mass of earth = 6*10^-11. Distance between
the sun and the earth =1.5*10^11m. Distance between sun and jupiter
= 7.8*10^11m

How much greater is the Sun’s gravitational force on Jupiter
compared with the Sun’s gravitational force on the Earth? Use the
following information: mass of the Sun = 2.0 x 1030 kg, mass of
Jupiter = 1.9 x 1027 kg, mass of Earth = 6.0 x 1024 kg; G = 6.67 x
10-11 m3kg-1s-2; distance between Sun and Earth = 1.5 x 1011 m;
distance between Sun and Jupiter = 7.8 x 1011 m. (Round your answer
to one decimal...

a)
two masses are separated by the length of 91 meters. the
gravitational force between them is (1.0 x 10^-9). what is each
mass?
b) a planet has 9/10 the earths mass and 19/20 the earths
radius. what is the value of the ratio g-planet/g-earth?
m-earth= 5.98 x 10^24 kg
r-earth= 6.37 x 10^6 kg

What is the magnitude of the gravitational force
between two objects of 100 kg and 250 kg each separated by a 1.5 m
distance? Use G = 6.67⋅10-11
N⋅m2/kg2.

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