JEE > DC Pandey Solutions for JEE Physics > DC Pandey Solutions: Gravitation- 1

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1. What is the formula to calculate the gravitational force between two objects? |

Ans. The formula to calculate the gravitational force between two objects is given by Newton's law of universal gravitation, which states that the force (F) between two objects is directly proportional to the product of their masses (m1 and m2) and inversely proportional to the square of the distance (r) between their centers. Mathematically, it can be expressed as F = G * (m1 * m2) / r^2, where G is the gravitational constant.

2. How can we determine the value of the gravitational constant (G)? |

Ans. The value of the gravitational constant (G) was determined by the famous Cavendish experiment. In this experiment, two small lead spheres were suspended from a thin wire and two larger lead spheres were placed close to them. The gravitational attraction between the small and large spheres caused a torsion in the wire. By measuring this torsion and other known quantities, such as the masses and distances involved, the value of G was calculated. The experiment yielded a value of approximately 6.67430 x 10^-11 N*m^2/kg^2 for G.

3. What is the difference between mass and weight? |

Ans. Mass and weight are two different physical quantities. Mass is a measure of the amount of matter in an object and remains constant regardless of the location. It is commonly measured in kilograms (kg). On the other hand, weight is the gravitational force acting on an object and varies with the gravitational field strength of the location. It is commonly measured in Newtons (N). Weight can be calculated by multiplying an object's mass by the acceleration due to gravity (9.8 m/s^2 on Earth).

4. How does the distance between two objects affect the gravitational force between them? |

Ans. The distance between two objects directly affects the gravitational force between them. According to Newton's law of universal gravitation, the force of gravity is inversely proportional to the square of the distance between the centers of the objects. This means that as the distance increases, the gravitational force decreases. Conversely, as the distance decreases, the gravitational force increases. The relationship is described by the equation F = G * (m1 * m2) / r^2, where r is the distance between the objects.

5. Can the gravitational force between two objects ever be zero? |

Ans. No, the gravitational force between two objects can never be zero if they have mass. According to Newton's law of universal gravitation, any two objects with mass will exert a gravitational force on each other. However, the force can become extremely small if the masses involved are very small or the distance between them is very large. In practical terms, the gravitational force may be considered negligible when it is significantly smaller than other forces acting on the objects.

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