In this example a 3 kilogram mass at a height of 5 meters while acted on by earths gravity would have 14715 joules of potential energy pe 3kg 981 ms 2 5m 14715 j. The gravitational potential energy of an object near earths surface is due to its position in the mass earth system.
Mastering Physics Solutions Chapter 8 Potential Energy And
Gravitational potential energy weight x height. Therefore the potential energy is 28224 joules j. This is equivalent to its mass times the force of gravity g a defined constant of 98 ms 2 times the height of the object. Weight mass x gravitational field strength 10 nkg on earth 2. The object has the potential to fall due to gravity. In general the gravitational potential energy gpe arises from the law of gravity and is equal to the work done against gravity to bring a mass to a given point in space. Gravitational potential energy mass height gravitational field strength g.
Pe potential energy j or kgm 2s 2. Calculating the mass when potential energy height and. 981 meters per second squared or more accurately 980665 ms 2 is widely accepted among scientists as a working average value for earths gravitational pull. Potential energy equations calculator science physics formulas. Gravitational potential energy is due to the position of an object above earths surface. Potential energy mass x gravity x height.
The equation for gravitational potential energy is gpe mgh where m is the mass in kilograms g is the acceleration due to gravity which is a constant 98 on earth and h is the height above the ground. An object with mass 50 kg and height 20 m has gpe of. Pe mgh pe 12 x 98 x 24 pe 28224. E grav pe mgh. M mass kg. Gravitational potential energy depends on an objects weight and its height above the ground gpe weight x height.
Potential energy e 0 0. Potential energy e mass m acceleration of gravity g conversions. The gravitational potential energy of an object is the stored energy that the object has by being at that height. This online calculator assists you to calculate the height of an object in space given its gravitational potential energy gpe and mass. M mass 12 g acceleration due to gravity 98 h height 24. The change in gravitational potential energy δpe g is δpe g mgh with h being the increase in height and g the acceleration due to gravity.
Now fill in this table where the same objects are on mercury g 4 nkg mass kg weight n height m gravitational potential. Elasticpotential energy is due to an objects shape. 50 x 98 x 20. Find the potential energy when the mass is 12 with a height of 24 and acceleration due to gravity of 98.