Determine the Universal Gravitational Constant (G).

G = 6.6675 x N/

Explanation:

From Newton's law of universal gravitation,

F =  .................. 1

Where F is the force of attraction, G is the universal gravitation constant, M is the mass of a massive object e.g earth, m is the mass of the smaller object e.g moon, r is the radius of the massive object.

Newton's second law states;

F = mg  ...................  2

F is the force, m is the mass of the object and g is the gravitational force on the object.

Equating equations 1 and 2 gives;

mg =

So that;

g =

⇒ G =

where: g = 9.81 m/, r = 6371 km, M = 5.972 x kg.

G =

  =

  = 6.6675 x N/

The Universal Gravitational Constant (G) is 6.6675 x N/.

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

the closer the planet is to the sun, the larger the gravity