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A simple segment of code that calculates the both scalar and vector weight (gravitational force) exerted upon a ball. | A simple segment of code that calculates the both scalar and vector weight (gravitational force) exerted upon a ball. | ||
[[File:Weightcode.JPG|400px|thumb|right]] | |||
[[File:Weightcode.JPG| | |||
<code> | <code> | ||
ball=sphere(pos=vec(0,0,0), radius=0.02, color=color.yellow, make_trail=true) | '''# Initializing sphere object''' | ||
ball=sphere(pos=vec(0,0,0), radius=0.02, color=color.yellow, make_trail=true) | |||
''' | '''# Defining constants''' | ||
g = vec(0,-9.8,0) #gravitational acceleration | g = vec(0,-9.8,0) ''#gravitational acceleration'' | ||
ball.m=0.1 #mass of the ball in kg | ball.m=0.1 ''#mass of the ball in kg'' | ||
W = ball.m*g #weight of the ball on Earth | W = ball.m*g ''#weight of the ball on Earth'' | ||
print("Scalar weight of the ball:", mag(W), "kg m/s^2 or N") | '''# Printing values | ||
print("Force of gravity exerted on the ball:", W, "kg m/s^2 or N") | print("Scalar weight of the ball:", mag(W), "kg m/s^2 or N") | ||
print("Force of gravity exerted on the ball:", W, "kg m/s^2 or N") | |||
</code> | </code> | ||
Revision as of 21:23, 30 November 2015
Claimed by mxu86 (Michael Xu)
A page about weight as a property of matter.
The Main Idea
In physics, weight describes the Gravitational Force upon a mass, usually relative to Earth or a planet. Depending on the source, weight may be defined as a scalar - the magnitude of the gravitational force on an object - or a vector equal to gravitational force. An object's weight is commonly confused with mass, but instead it is a force that depends on another body of matter, while mass is an intrinsic property of matter.
A Mathematical Model
A mass m's weight near the surface of the Earth is represented by [math]\displaystyle{ {\vec{W} = \vec{F}_{g} = {mg}} }[/math] where g is the gravitation acceleration of Earth, -9.8 meters per second squared.
[math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
A simple segment of code that calculates the both scalar and vector weight (gravitational force) exerted upon a ball.
# Initializing sphere object
ball=sphere(pos=vec(0,0,0), radius=0.02, color=color.yellow, make_trail=true)
# Defining constants
g = vec(0,-9.8,0) #gravitational acceleration
ball.m=0.1 #mass of the ball in kg
W = ball.m*g #weight of the ball on Earth
# Printing values
print("Scalar weight of the ball:", mag(W), "kg m/s^2 or N")
print("Force of gravity exerted on the ball:", W, "kg m/s^2 or N")
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