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nasty-shy [4]
3 years ago
6

How t calculate gravitational force

Physics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

F=G(m1m2)/Rsquare if radius is given

F=G(m1m2)/dsquare if distance is given

where,

f =gravitational force

G =gravitational constant

m1=mass of one object

m2=mass of another object

d=distance between two object from their center r=radius of earth/planet

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A rubber balloon has become negatively charged from being rubbed with a wool cloth, and the charge is measured as 1.00 × 10−14 C
inysia [295]

Answer:

1.60 x 10-10 C

Explanation:

5 0
3 years ago
Three small spheres, having masses m1 = 1 kg, m2 = 3 kg, and m3 = 4 kg, are held fixed on the x axis in deep space where the eff
Vlad [161]

Answer: F_{net} = 0.7411 N towards the mass m_{3}

Explanation: We know that the gravitational force is a long range force which is always attractive in nature.

Given that:

  • mass m_{1} = 1 kg
  • mass m_{2} = 3kg
  • mass m_{3} = 4kg

The masses are positioned on X-axis at the following points:

  • Position of mass m_{1}  x_{1} = 0
  • Position of mass m_{2}  x_{2} = 3
  • Position of mass m_{3}  x_{3} = 6

Mathematically:

<em>Gravitational force on mass </em>m_{2}<em> due to mass </em>m_{1}<em> is given by </em>

F_{21} = G \frac{m_{1}.m_{2}}{(r_{21})^2}...................(1)

  • where: (r_{21})^2= the radial distance between masses m_{2} & m_{1}=3

Similarly, g<em>ravitational force on mass </em>m_{2}<em> due to mass </em>m_{3}<em> is given by </em>

F_{23} = G \frac{m_{3}.m_{2}}{(r_{23})^2}............................(2)

  • where: (r_{23})^2= the radial distance between masses m_{2} & m_{3}=3

Now, put the respective values in the above equations.

F_{21} = 6.67 \times 10^{-11 }\times \frac{1\times 3}{3^2}

F_{21} = 2.2233\times 10^{-11} N

Again,

F_{23} = 6.67 \times 10^{-11 }\times \frac{1\times 4}{3^2}

F_{23} = 2.9644\times 10^{-11} N

∵Mass m_{2} is in the middle of the masses m_{3} & m_{1} therefore the forces  F_{23} & F_{21} will attract them in radially opposite direction.

∴F_{net} = F_{23} -F_{21} \\\\F_{net} = 2.9644-2.2233\\\\F_{net} = 0.7411 N towards the mass m_{3}

6 0
3 years ago
Read 2 more answers
A ladder rests against a vertical wall at a point 12 feet from the floor. The angle formed by the ladder and the floor is 63°. C
GenaCL600 [577]

Answer:

length of the ladder is 13.47 feet

base of wall to latter distance 6.10 feet

angle between ladder and the wall is 26.95°

Explanation:

given data

height h  = 12 feet

angle 63°

to find out

length of the ladder ( L) and length of wall to ladder ( A) and angle between  ladder and the wall

solution

we consider here angle between base of wall and floor is right angle

we apply here trigonometry rule that is

sin63 = h/L

put here value

L = 12 / sin63

L = 13.47

so length of the ladder is 13.47 feet

and

we can say

tan 63 = h / A

put here value

A = 12 / tan63

A = 6.10

so base of wall to latter distance 6.10 feet

and

we say here

tanθ = 6.10 / 12

θ = 26.95°

so angle between ladder and the wall is 26.95°

8 0
3 years ago
Three charges are enclosed inside a spherical closed surface. The net flux through the surface is −216 N · m2/C. If two of the c
sladkih [1.3K]

Answer:

q₃ = -4.81 nC

Explanation:

We can use the Gauss Law here:

∅ = q/∈₀

where,

∅ = Net Flux = - 216 N.m²/C

q = total charge enclosed inside sphere = ?

∈₀ = permittivity of free space = 8.85 x 10⁻¹² C/N.m²

Therefore,

- 216 N.m²/C = q / 8.85 x 10⁻¹² C²/N.m²

q = (-216 N.m²/C)(8.85 x 10⁻¹² C²/N.m²)

q = - 1.91 nC

So, the total charge will be sum of all three charges:

q = q₁ + q₂ + q₃

- 1.91 nC = 1.74 nC + 1.16 nC + q₃

q₃ = - 1.91 nC - 1.74 nC - 1.16 nC

<u>q₃ = -4.81 nC</u>

5 0
3 years ago
8. Noticing how much food is on your lunch<br> tray is a quantitative observation because
zhenek [66]

Answer:

you are making an observation that uses numbers.

Explanation:

5 0
2 years ago
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