All objects with mass experience gravitational attraction. Why do all objects exert gravitational force?

7 answers

All objects exert gravitational force because of their mass. According to the law of universal gravitation formulated by Sir Isaac Newton, every object in the universe with mass attracts every other object with mass. This gravitational force is proportional to the product of the masses of the objects and inversely proportional to the square of the distance between their centers. Hence, the greater the mass of an object, the stronger its gravitational force.

This force arises due to the bending or warping of space-time caused by the presence of mass. Mass tells space how to curve, and objects are attracted towards regions of higher curvature. Therefore, any object with even the slightest amount of mass will exert a gravitational force on everything around it. However, the magnitude of this force becomes noticeable only when the objects have significant mass or are in close proximity.
Based on what you know about the mass of objects and gravitational attraction, we know that a rock on Earth (rather than the same size rock on the moon) experiences more gravitational attraction. Explain why there is more attraction on Earth.
The reason why a rock on Earth experiences more gravitational attraction compared to the same size rock on the moon is because Earth has a much larger mass than the moon. According to Newton's law of universal gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Earth has a mass of about 5.97 x 10^24 kilograms, while the moon has a mass of about 7.34 x 10^22 kilograms. Therefore, Earth's mass is roughly 81 times greater than the moon's mass. Consequently, a rock on Earth would experience a much stronger gravitational pull towards Earth than it would on the moon, since the gravitational force between the rock and the larger mass of Earth is much stronger compared to the force between the rock and the smaller mass of the moon.

Additionally, the distance between the rock and the center of Earth is also much smaller compared to the distance between the rock and the center of the moon. Since the gravitational force decreases with distance, the smaller distance from the rock to Earth's center further amplifies the gravitational attraction.

In summary, the rock on Earth experiences more gravitational attraction because Earth has a larger mass and the rock is closer to the center of Earth compared to the moon.
Will the items land at the same time or different times? Will the downward pull of gravity be different?
The items, assuming they are dropped from the same height and with no other forces acting on them, will land at the same time on both the Earth and the moon. This is because the gravitational acceleration on an object depends on the mass of the body causing the gravitational force and not on the mass of the object itself.

The downward pull of gravity will be different on the Earth and the moon due to the difference in their masses. The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s^2), while on the moon it is about 1.6 m/s^2. This means that the force of gravity on an object is weaker on the moon compared to Earth, resulting in a lower acceleration and slower fall. However, despite the difference in the strength of the gravitational pull, the time it takes for the objects to reach the ground will still be the same on both bodies, neglecting any other factors like air resistance.
Which item would hit the ground last because of greater air resistance: the parachute, the coin, the hammer?
Among the given items, the parachute would hit the ground last due to greater air resistance. Air resistance is a force that opposes the motion of an object through the air. Objects with a larger surface area experience more air resistance.

The parachute has a large surface area compared to the coin and the hammer, which allows it to create a significant amount of air resistance. As the parachute falls, it catches a large amount of air that pushes against it, creating a greater resistance force. This resistance force slows down the descent of the parachute, causing it to take more time to reach the ground compared to the coin and the hammer.

On the other hand, the coin and the hammer have comparatively smaller surface areas and experience less air resistance. As a result, they can fall more quickly, reaching the ground first.

It's important to note that the specific shape and design of the parachute, coin, and hammer can also influence the amount of air resistance they experience. In general, objects with larger surface areas or designs that allow air to pass through more easily will experience greater air resistance.