Question

URGENT PLEASE ANSWER

Answer 1

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:

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