Factors determining the magnitude of gravitational force
For the purpose of the analysis of the vertical jump it is reasonable
to consider gravity as the only non-contact force that needs to be identified.
Sir Isaac Newton explained gravitational interaction in what is now known
as Newton's Law of Gravitation which can be defined as follows:
All particles attract one another with a force proportional to the
product of their masses and inversely proportional to the square of the
distance between them.
F = Gravitational force
m1 = mass of
object one
m2 = mass of
object two
d = distance between objects
G = gravitational constant
The two factors that are identified by the law as being important in
determining gravitational force, are the masses of the objects, and the
distance between them. More specifically, the larger the masses and/or
the closer the masses, then the larger the gravitational force.
To all intents and purposes the only object with a sufficiently large
mass to produce observable changes in the motion of a sports person and/or
piece of sports equipment, is the earth. The force which results from
interactions with the earth is called GRAVITY. Hence, if a ball
is thrown into the air it is seen to be attracted back towards the planet's
surface and the same is true of a high jumper, pole vaulter, gymnast,
etc.
The gravitational force acting on a particular object is called its
WEIGHT and this is clearly dependent on, but distinct from, the
MASS of an object. These terms are often used interchangeably but
in fact have quite different meanings. Weight refers specifically to the
gravitational force acting on the object, whilst mass refers to the amount
of matter that actually makes up the object. If someone could do a vertical
jump on the earth, and then on the moon, the mass of that person would
be the same in both instances. However, the weight of the jumper would
be considerably smaller on the moon because the jumper is interacting
with a much smaller mass (i.e. the moon), and therefore the gravitational
force (weight) acting on the jumper would be smaller. It can be seen that
for an athlete whose event involves a significant vertical motion (e.g.
high jump) that it is especially advantageous to reduce any excess body
mass such as fat and to minimise the mass of kit such as clothes and shoes.
Although the relative sizes of the masses interacting and the distance
between the object are variables in determining the magnitude of gravitational
force acting on an object, both of these variables are considered to be
constant, within the context of the vast majority of everyday event, as
any variation in mass or distance would be far to small to make a measurable
difference. Therefore a critical factor in explaining the vertical jump
movement is to note that the force of gravity acts at constant value in
a downward direction during all phases of the jump.
TASK: Look through the recommended text books for the unit (see
unit handbook) and note how gravity is represented on diagrams showing
gravity acting on sport performers.
TASK: Look at the video and note that the explanation
above indicates that gravity is effecting the jumper throughout the movement
- not just during the flight phase. Draw stick figures representing the
jumper in three different positions (use the video to help guide you).
Using the information gained in the reading undertaken in the previous
task, sketch a representation of the force of gravity acting on the jumper
in three different positions during the verticl jump activity..
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