What is the relationship between acceleration due to gravity, and mass of objects near the surface of Earth?

Question

i.e., what does a graph of the relationship look like if the x-axis is the mass??

Answer 1

F = ma
In the case of gravity the speed of gravity is 32 ft/second per second or 9.8 meters per second per second.
F = force, which would be your x-axis for your graph (http://en.wikipedia.org/wiki/Force)
m = the mass (http://en.wikipedia.org/wiki/Mass)
a = the acceleration due to gravity. (http://en.wikipedia.org/wiki/Acceleration_

Your y-axis would be the height of an object.

The graph would look like half of a capital letter "U". It would start at zero, zero when the mass is at rest and then increase along the graph. Since acceleration is a geometric progression it would create a curve and increase at a higher factor than the height would increase.

The graph would reach a limit due to the resistance of the atmosphere; at around 120 mph for a falling human (http://en.wikipedia.org/wiki/Terminal_velocity). So it would depend on the size and shape of your mass to determine where the upper limit of the graph would be. The graph would be steeper with a heavier mass and shallower with a lighter one.

For an example graph look at this page: http://en.wikipedia.org/wiki/Image:Acceleration.svg
The origin of the graph would be where the green and blue lines meet and the side of the blue graph on the right would be your graph; up until the point of terminal velocity is reached.

Answer 2

acc due to gravity is g and mass is m relation is weight=mg
if x-axis is mass then the graph would be a horizontal line cutting
y-axis at 9.8

Answer 3

a constant 9.81 meters/sec^2 or 32.2 lbm/s^2 if I remember right. SO if x is mass, and y is acceleration, find 9.8/32.2 and draw a straight (oops) horizontal line across your graph

\/ and he said near the surface of the earth. Acceleration at the surface of the earth is a constant.

Answer 4

the mass may well be 10.19kg. and particular, the mass may well be a similar everywhere in the universe. mass is in actuality merely how a lot rely there is in a merchandise vs weight that's how heavy an merchandise is. so weight varies interior the universe because of the fact gravity performs into how heavy an merchandise may well be. : )

Answer 5

sorry, but the steepness of the curve is not dependent on the weight of the objects since "g" is the same regardless of weight