1) write the formula to find the magnitude of gravitational force between earth and an object on earth's surface
2) how does the value of gravitational force 'f'change between two objects?
3) what is direction of an object moving with an acceleration due to gravity?
Wrong
1) The formula to find the magnitude of gravitational force between Earth and an object on Earth's surface is given by the equation:
F = mg
where F represents the gravitational force, m is the mass of the object, and g represents the acceleration due to gravity on Earth's surface, which is approximately 9.8 m/s².
2) The value of gravitational force (F) between two objects changes depending on two factors: the masses of the objects (m₁ and m₂) and the distance between their centers of mass (r). 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. The formula for gravitational force is:
F = G * (m₁ * m₂) / r²
where G represents the gravitational constant (approximately 6.674 × 10⁻¹¹ Nm²/kg²).
This equation shows that as the masses of the objects increase, the gravitational force between them will also increase. Similarly, as the distance between the objects decreases, the gravitational force will become stronger.
3) An object moving with an acceleration due to gravity will have a specific direction. The direction at which the object moves is always downward, towards the center of the Earth. The force of gravity acts vertically downwards, causing the object to accelerate towards the ground. This downward direction is consistent regardless of the object's initial velocity or position.
1) The formula to find the magnitude of the gravitational force between Earth and an object on Earth's surface can be given by Newton's law of universal gravitation. The formula is:
F = (G * m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 is the mass of the Earth
m2 is the mass of the object
r is the distance between the center of the Earth and the object's center of mass.
To find the magnitude of the gravitational force, you need to know the masses of both Earth and the object, as well as their distance apart. Then you can simply plug in these values into the formula and calculate the force.
2) The value of gravitational force 'F' between two objects changes based on their masses and the distance between their centers. The force is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as:
F ∝ (m1 * m2) / r^2
So, if the distance between the two objects decreases (r decreases), the gravitational force between them increases. Similarly, if the masses of the objects increase, the gravitational force also increases. Conversely, if the distance increases or the masses decrease, the gravitational force decreases.
3) The direction of an object moving with an acceleration due to gravity is always towards the center of the Earth. This is because gravity is an attractive force that pulls objects towards each other. When an object is falling freely under the influence of gravity, it accelerates downwards, always pointing towards the center of the Earth. This is the direction of the acceleration due to gravity, commonly referred to as "downwards" or "vertical."
F = G Me m/R^2 = approximately m g
because G Me/R^2 is pretty much constant around earth surface
1/R^2
Toward the center of mass of the object that is pulling it, for example toward earth center.