The Only Vector — phryzby

play phryzby with physics

Q. Which one of these is a vector? expects C

What the draft establishes

Fills in once a draft is checked.

The web of concepts

given read from the words equation asked

The equations it used

None yet.

The playground

The solution

Solved with Vectors

Working

temperature: a scalar, a size alone
pressure: a scalar, a size alone
impulse: a vector, it has a direction
time: a scalar, a size alone
power: a scalar, a size alone
total path length: a scalar, a size alone
energy: a scalar, a size alone
gravitational potential: a scalar, a size alone
coefficient of friction: a scalar, a size alone
charge: a scalar, a size alone

Conclusion

Impulse is a force acting over a time, and it points the way the force pushes. Pressure pushes on every surface alike, whichever way it faces, so it has no direction of its own.

The Ruby

1require_relative "../physics"23question :the_only_vector do4  kind :scq5  describes "Which one of these is a vector?"67  option "temperature"8  option "pressure"9  option "impulse"10  option "time"11  option "power"12  option "total path length"13  option "energy"14  option "gravitational potential"15  option "coefficient of friction"16  option "charge"17end

1require_relative "../questions/the_only_vector"2require_relative "../science/motion_in_a_plane/vectors"34solve :the_only_vector, using: Vectors do5  answer options.select { |o| o.content.to_quantity.vector? }67  conclusion "Impulse is a force acting over a time, and it points the way the force pushes. " \8             "Pressure pushes on every surface alike, whichever way it faces, so it has no " \9             "direction of its own."10end

1require_relative "../solutions/the_only_vector"23play_with :the_only_vector do4  title "The Only Vector"5end

The laws

quantity	written	units	within	from
volume	$volume$	—	—	Vectors
mass	$mass$	—	—	Vectors
speed	$speed$	—	—	Vectors
density	$density$	—	—	Vectors
number of moles	$n$	—	—	Vectors
angular frequency	${angular}_{frequency}$	—	—	Vectors
work	$work$	—	—	Vectors
current	$current$	—	—	Vectors
temperature	$temperature$	—	—	Vectors
pressure	$pressure$	—	—	Vectors
time	$time$	—	—	Vectors
power	$power$	—	—	Vectors
total path length	$s$	—	—	Vectors
energy	$energy$	—	—	Vectors
gravitational potential	${gravitational}_{potential}$	—	—	Vectors
coefficient of friction	$μ$	—	—	Vectors
charge	$charge$	—	—	Vectors
acceleration	$acceleration$	—	—	Vectors
velocity	$velocity$	—	—	Vectors
displacement	$displacement$	—	—	Vectors
angular velocity	${angular}_{velocity}$	—	—	Vectors
force	$force$	—	—	Vectors
angular momentum	${angular}_{momentum}$	—	—	Vectors
linear momentum	$p_{lin}$	—	—	Vectors
electric field	${electric}_{field}$	—	—	Vectors
average velocity	${average}_{velocity}$	—	—	Vectors
magnetic moment	${magnetic}_{moment}$	—	—	Vectors
relative velocity	$v_{AB}$	—	—	Vectors
impulse	$impulse$	—	—	Vectors
first vector	$A$	—	0 … ∞	Vectors
second vector	$B$	—	0 … ∞	Vectors
angle between	$φ$	—	0 … 3.142	Vectors
resultant	$R$	—	0 … ∞	Vectors
resultant direction	$β$	—	0 … 3.142	Vectors
direction	$α$	—	-3.142 … 3.142	Vectors
x component	$A_{x}$	—	—	Vectors
y component	$A_{y}$	—	—	Vectors

A = \sqrt{{A_{x}}^{2} + {A_{y}}^{2}}

magnitude from components

R^{2} = A^{2} + B^{2} + 2 \cdot A \cdot B \cdot \cos φ

law of cosines

R \cdot \sin β = B \cdot \sin φ

law of sines

R \cdot \cos β = A + B \cdot \cos φ

along the first

A_{x} = A \cdot \cos α

resolved along x

A_{y} = A \cdot \sin α

resolved along y