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Develop an equation (with a proportionality constant) that describes the relationship between the gravitational force (fgrav), t

ivolga24 [154]

According to newton's law of gravitation, the gravitational force(F) is directly proportional to the product mass of the moon(Mm) and the mass of the planet (Mp) and it is inversely proportional to the square of the separation between them.

Fg ∝ (Mp)(Mm) →(1)

Fg ∝ 1/d²→(2)

Combining equation (1) and (2),

Fg ∝ (Mp)(Mm)/d²

Fg = G(Mp)(Mm)/d²

This is an equation that describes the relation between mass of moon (Mm) and mass of planet (Mp) and separation(d) between them.

To support the claim in favuor of this equation we use this equation to obtain the value of acceleration due to gravity on earth.

Let m be the mass of an object on earth then Fg between earth (Mp) and mass of an object is obtained by:

Fg = G(Mp)(m)/R², where R= Radius of earth

This force is equal to the weight of an object i.e.,

g= G(Mp)/R²

Putting the values of G, Mp and R , we get, g=9.81 m/s²

which is the value we obtained on earth for acceleration due to gravity.

To know more about gravitational constant, visit:

brainly.com/question/13959861

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5 0

7 months ago

Calculate the force between two objects that have masses of 70 Kilograms and 2,000 kilograms separated by a distance of 1 meter

Hunter-Best [27]

9.3 x 10⁻⁶N

Explanation:

Given parameters:

Mass 1 = 70kg

Mass 2 = 2000kg

distance = 1m

Unknown:

force between them =

Solution:

The force between the two masses will be a gravitational force of attraction.

F = $\frac{G m_{1}m_{2} }{r^{2} }$

G is universal gravitation constant = 6.67430×10−¹¹ N⋅m²/kg²

r is the distance between the two masses

Substituting the parameters:

F = $\frac{6.67 x 10^{-11} x 70 x 2000}{1^{2} }$ = 9.3 x 10⁻⁶N

Learn more:

Universal gravitation constant brainly.com/question/1724648

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5 0

3 years ago

A lead bar 12 cm long, 2 cm wide, and 2 cm talk has a density of 11.3g/cm3. If you cut the bar in half, what is the density of o

VMariaS [17]

Answer:

The density of one halves 11.3 g / cm cube

Explanation:

Density remain same because cutting the bar in half , mass and volume will decrease to half so density will not change .

density = $\frac{mass}{volume}$

5 0

3 years ago

What is the potential energy of a 0.5 kg object sitting on a shelf that is 1.5 meters high?

Archy [21]

Gravitational potential energy=mass x height X gravitational field strength
=0.5 x1.5 x9.7(gravity)=7.275J

5 0

2 years ago

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You or your personal trainer should always use the _____ safety screening.

Pachacha [2.7K]

The answer to the question presented above would be PAR-Q or the <span>Physical Activity Readiness Questionnaire. The purpose of this questionnaire is to identify if you have any medical risks and to know your overall medical background for future reference of prevention of complications whenever you're training.</span>

7 0

3 years ago

Read 2 more answers