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3 years ago

Two objects each with a mass of 5x10^15 kg have a gravitational

Physics

1 answer:

kipiarov [429]3 years ago

6 0

Answer:

Distance, r = 700.31 m

Explanation:

Mass of two objects, $m_1=m_2=5\times 10^{15}\ kg$

Force between the objects , $F=3.4\times 10^{15}\ N$

We need to find the distance between the two objects. The force of gravitational between two objects is given by :

$F=G\dfrac{m_1m_2}{r^2}\\\\r=\sqrt{\dfrac{Gm_1m_2}{F}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times (5\times 10^{15})^2}{3.4\times 10^{15}}}\\\\=700.31\ m$

So, the distance between the objects is 700.31 m.

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3 years ago

A container in the shape of a cube 10.0 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pres

Vikentia [17]

Answer:

a) m = 1.174 grams

b) F_g = 0.01151 N

c) F_c = 1013 N

Explanation:

Given:

- The length of a cube L = 10.0 cm

- The molar mass of air M = 28.9 g/mol

- Pressure of air P = 101.3 KPa

- Temperature of air T = 300 K

- Universal Gas constant R = 8.314 J/kgK

Find:

(a) the mass of the gas

(b) the gravitational force exerted on it

(d) Why does such a small sample exert such a great force? (6%)

Solution:

- Compute the volume of the cube:

V = L^3 = 0.1^3 = 0.001 m^3

- Use Ideal gas law equation and compute number of moles of air n:

P*V = n*R*T

n = P*V / R*T

n = 101.3*10^3 * 0.001 / 8.314*300

n = 0.04061 moles

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m = n*M

m = 0.04061*28.9

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F_g = m*g

F_g = 1.174*9.81*10^-3

F_g = 0.01151 N

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3 years ago