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hjlf
3 years ago
8

URGENT PLEASE ANSWER

Physics
1 answer:
Anettt [7]3 years ago
6 0

Answer:

3.523 * 10²² N

Explanation:

Newton's Law of Universal Gravitation:

  • \displaystyle \bf{F=G\frac{m_1 m_2}{r^2}
  • F = force of gravity between two objects
  • G = gravitational constant (6.67 * 10⁻¹¹ Nm²kg⁻²)
  • m₁ = mass of object #1
  • m₂ = mass of object #2
  • r = distance between the center of mass of two objects

We are given the mass of the sun (m₁) and its distance from Earth (r). We want to find the value of F.

The mass of Earth (m₂) is 5.972 * 10²⁴ kg and we know the gravitational constant (G).

Let's plug these known values into the equation to solve for F.

  • \displaystyle \bf{F=6.67\cdot10^-^1^1 \Big [ \frac{(1.99\cdot 10^3^0)(5.972\cdot 10^2^4)}{(150\cdot 10^9)^2} \Big ]  

Plugging this into your calculator will output a value of

  • \displaystyle \bf{ F = 3.523028782\cdot 10^2^2

The gravitational force between the sun and the Earth is approximately:

  • \displaystyle \bf{F=3.523\cdot 10^2^2 \ N
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