Math Problem Statement

The force of of gravitation between two point masses of 1 kg and 2 kg jept 1 m apart, is

Solution

The force of gravitation between two point masses can be calculated using Newton's law of universal gravitation. The formula is:

F=Gm1m2r2F = G \frac{m_1 \cdot m_2}{r^2}

Where:

  • FF is the gravitational force between the two masses,
  • GG is the gravitational constant (6.674×1011Nm2/kg2)(6.674 \times 10^{-11} \, \text{N} \, \text{m}^2/\text{kg}^2),
  • m1m_1 and m2m_2 are the masses of the two objects (1 kg and 2 kg),
  • rr is the distance between the two masses (1 meter).

Substituting the values:

F=(6.674×1011)×1×212=13.348×1011NF = \left( 6.674 \times 10^{-11} \right) \times \frac{1 \times 2}{1^2} = 13.348 \times 10^{-11} \, \text{N}

So, the gravitational force FF is 1.3348×1010N1.3348 \times 10^{-10} \, \text{N}.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the significance of the gravitational constant?
  2. How does the gravitational force change if the distance between the masses is doubled?
  3. How would the force change if both masses were doubled?
  4. How does gravitational force compare to other fundamental forces in nature?
  5. What are some practical applications of Newton's law of gravitation?

Tip: Gravitational force is always attractive and acts along the line joining the two masses.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Newton's Law of Universal Gravitation

Formulas

F = G * (m1 * m2) / r^2

Theorems

Newton's Law of Universal Gravitation

Suitable Grade Level

Grades 9-12