Question

URGENT PLEASE ANSWER

8. The mass of the sun is 1.99 x 1030 kilograms and its distance from Earth is 150 million kilometers (150 x 109 meters). What is the gravitational force between the sun and Earth?

Answer 1

3.523 * 10²² N

Step-by-step explanation:

Newton's Law of Universal Gravitation:

• 
  `\displaystyle \bf{F=G(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 [ ((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`