Gravitational Field problem?

assume weight = 9.69 Newtons

g = w/m

g = 6.96/1.64

g = 4.2439 m/s²

A 1.64 kg book in space has a weight of 6.96.

What is the value of gravitational field at

that location?

Universal Force of Gravitation = Fg = (G * M1 * M2) ÷ r^2

G = 6.67 * 10^-11

M1 = mass of object #1

M2 = mass of object #2

r = distance between the center of mass of each object.

M1 = 1.64 kg

Fg = 6.96 N

Gravitational field = (G * M2) ÷ r^2

The mass of Object #2 produces the gravitational field that attracts other masses toward Object #2.

The force of attraction is the weight of the object.

The Gravitational field causes Object #1 to accelerate toward Object #2

6.96 = (Gravitational field) * 1.64

Gravitational field =

All you have to do is divide weight by mass to get the answer.

In order to prove the concept behind it I would have to put a series of complicated mathematical equations in front of you. Basically, the gravitational acceleration depends on the density and the size of the planet. This means that objects are attracted with more force towards the planet as the planet's size increases. As newtons is a force (and what you use to measure weight) and kg's are a mass, you can apply the equation: Force=Mass x Acceleration. As you have specified a mass and weight, you have to rearrange the equation to make acceleration the subject. You therefore get Acceleration= Force/mass. Substitute the numbers in and you will get the answer.

Hope this helped.