Chemistry, 06.02.2020 02:48 rexard

Auniform, solid, 1100.0 kg sphere has a radius of 5.00 m. find the gravitational force this sphere exerts on a 2.40 kgkg point mass placed at the following distances from the center of the sphere: (a) 5.01 mm , and (b) 2.50 mm .

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Answer from: sweetgigi4387

Explanation:

(a) The given data is as follows.

M = 1100 kg, r = 5.01 mm = $5.01 \times 10^{-3}$ m

m = 2.40 kg

Now, formula for Newton's law of gravitation is as follows.

F = $\frac{GMm}{r^{2}}$

Putting the given values into the above formula as follows.

F = $\frac{GMm}{r^{2}}$

= $\frac{6.673 \times 10^{-11} Nm^{2}/kg^{2} \times 1100 \times 2.40 kg}{(5.01 \times 10^{-3})^{2}}$

= $7.02 \times 10^{-3}$ N

Therefore, gravitational force exerted by the given sphere on 2.40 kg point mass is $7.02 \times 10^{-3}$ N.

(b) Now, mass of the sphere beyond r = 2.50 mm or $2.50 \times 10^{-3} m$ will not contribute any force on the point mass.

Hence, mass within the radius r < R that experiences force is,

$m^{1} = M \frac{r^{3}}{R^{3}}$

According to Newton's law of gravitation,

F = $\frac{Gm^{1}m}{r^{2}}$

= $\frac{Gm(M \frac{r^{3}}{R^{3}})}{r^{2}}$

= $G \frac{mMr}{R^{3}}$

Here, r is the radius of point mass and R is the radius of solid sphere.

Therefore, putting the given values into the above formula as follows.

F = $G \frac{mMr}{R^{3}}$

= $\frac{6.673 \times 10^{-11} Nm^{2}/kg^{2} \times 1100 kg \times 2.40 kg \times 2.50 \times 10^{-3}}{(5)^{3}}$

= $3.52 \times 10^{-9}$ N

Therefore, the gravitational force this sphere exerts on a 2.40 kg is $3.52 \times 10^{-9}$ N.

Answer from: Quest

number of molecules / avogadro's number * molecule molecular = mass

explanation:

we define a gram-molecular weight as the mass of one mole of any element or compound. a mole contains avogadro's number of units (molecules) –

6.022

. so, dividing the number of molecules by avogadro's number gives us the number of moles. multiplying that by the molecular weight gives us the mass. from the periodic table we find the gram-molecular weight of u to be238 and of f to be19. so,

will have a gram-molecular weight of 352g.

Answer from: Quest

because u need two or more forms of the same element that contain equal numbers of protons but different numbers of neutrons in their nuclei to form isotopes.

so since they all have the same shape? i mean maybe because m& m and reeses are both chocolates

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Auniform, solid, 1100.0 kg sphere has a radius of 5.00 m. find the gravitational force this sphere e...

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