The acceleration due to gravity decreases with height above the Earth's surface according to the inverse square law. Therefore, at a height of approximately 3186 km above the Earth's surface, the acceleration due to gravity would be half of what it is on the surface. This is known as the point of geosynchronous orbit.
The Earth's gravitational field and gravitational potential energy are really two quite different things. The relationalship is the following: Gravitational potential energy = mass x gravity x height Where gravity is the acceleration due to gravity - near Earth's surface, that's 9.8 meters/second2 - or the equivalent, weight per unit mass (which near Earth's surface is 9.8 newton/kilogram).
That is called gravitational potential energy.
9.81 is the acceleration due to the force of gravity experienced by bodies on or about the surface of the earth (nominally at sea level) the units are meters per second / per second, that is to say a stone dropped from a height will gain 9.81 m/s velocity for every second it falls (is in freefall) however , if you move from the earths surface , this figure will diminish, an example being : if you double your distance from the earths centre you will experience 1/4 of the acceleration (or force) you experienced at the surface
The acceleration is still 9.8 m/s2 but the force applied by gravity is counteracted by the ground.
Gravity is a force and does not have energy in itself, so it does not have a specific number of joules associated with it. However, potential energy due to gravity can be calculated using the equation PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.
At a height of 6400 km above the Earth's surface, the acceleration due to gravity can be calculated using the formula ( g' = g_0 \left( \frac{R}{R + h} \right)^2 ), where ( g_0 ) is the acceleration of gravity at the Earth's surface (approximately 9.81 m/s²), ( R ) is the Earth's radius (about 6400 km), and ( h ) is the height above the surface. Substituting the values, the effective gravity at this height is approximately 2.45 m/s². This demonstrates that gravity decreases with altitude, being significantly weaker at that height compared to the surface.
The difference in gravitational acceleration depends on the distance from the centre of the earth , not the surface. The equation for the new rate of accelration calculated from the surface rate is: > a = k / ( ( d / r )2 ) > where: a = acceleration due to gravity at new position k = surface rate of acceleration ( use 9.82 (m/s)/s ) d = distance from earths centre to new position ( r + height of jump) ( 6376000 metres) r = surface radius ( use 6371000 metres ) > Even if you jump from 5,000 metres the rate of acceleration would be : > 9.8046 (m/s)/s , which is 99.84 % of the rate at the surface
Ep (joules) = mass * acceleration due to gravity * height So: height = Ep / (mass * acceleration due to gravity)
The Earth's gravitational field and gravitational potential energy are really two quite different things. The relationalship is the following: Gravitational potential energy = mass x gravity x height Where gravity is the acceleration due to gravity - near Earth's surface, that's 9.8 meters/second2 - or the equivalent, weight per unit mass (which near Earth's surface is 9.8 newton/kilogram).
No, acceleration due to gravity is a constant at 9.81ms-2. It cannot be influenced by other factors such as height.
Height above earths surface is called elevation
That is called gravitational potential energy.
9.81 is the acceleration due to the force of gravity experienced by bodies on or about the surface of the earth (nominally at sea level) the units are meters per second / per second, that is to say a stone dropped from a height will gain 9.81 m/s velocity for every second it falls (is in freefall) however , if you move from the earths surface , this figure will diminish, an example being : if you double your distance from the earths centre you will experience 1/4 of the acceleration (or force) you experienced at the surface
The acceleration is still 9.8 m/s2 but the force applied by gravity is counteracted by the ground.
The potential energy of a stone on Earth's surface depends on its mass, height above the ground, and acceleration due to gravity. The potential energy is given by the formula PE = mgh, where m is the mass of the stone, g is the acceleration due to gravity, and h is the height above the ground. On Earth's surface, the height above the ground is considered to be zero, so the potential energy of the stone would also be zero.
Assuming the acceleration due to gravity is 9.81 m/s^2, the speed of the rock can be calculated using the equation v = sqrt(2 * g * h), where v is the final velocity, g is the acceleration due to gravity, and h is the height fallen. Plugging in the values, v = sqrt(2 * 9.81 * 66) ≈ 34.4 m/s.
Potential Energy=mass*acceleration due to gravity*height. PE=mgh The acceleration due to gravity= 9.8m/s