Basic Physics Flashcards
What is meant by the term quantity?
A quantity is a value, multiplied by a defined unit.
What are the 6 base quantities and their corresponding units?
mass - kilogram (kg) length - metres (m) time - seconds (s) temperature - kelvin (K) current - ampere (A) amount - mole (mol)
Express the unit of force, newtons (N) in base SI units.
F=ma
[force] = [mass] × [acceleration]
N = kg × ms^-2
N = kgms^-2
Express the unit of energy, joules (J) in base SI units.
Ek = 1/2mv^2 [energy] = [mass] × [velocity]^2 J = kg × (ms^-1)^2 J = kg × m^2s^-2 J = kgm^2s^-2
Express the unit of power, watts (W) in base SI units.
P=W/t [power] = [energy] ÷ [ time] W = J ÷ s W = kgm^2s^-2 ÷ s W = kgm^2s^-3
What makes an equation homogenous?
A homogenous equation has the same units on both sides.
Show that the equation x = ut + 1/2at^2 is homogenous.
LHS: x = [displacement] = m RHS: ut = [velocity] × [time] ut = ms^-1 × s ut = m 1/2at^2 = [acceleration] × [time]^2 1/2at^2 = ms^-2 × s^2 1/2at^2 = m so LHS = m and RHS = m + m = m
What is a scalar quantity? and provide an example.
A scalar quantity has only magnitude - speed.
What is a vector quantity? provide an example.
A vector quantity has a magnitude with a direction - force.
What are the 2 mathematic formulas we use for resolving a vector?
The 2 mathematic formulas we use are pythagoras and trigonometry.
What is the equation for mean speed?
mean speed = distance/time
What is the equation for mean velocity ?
mean velocity = displacement/time
What is the difference between calculating the mean speed and the mean velocity? for example if a pilot travels 50km north and 30km east in 2 hours.
Mean speed is the distance travelled (50+30) / time ( 2 hours) so speed would be 40kmh^-1.
Mean velocity is the displacement / time so you would need to resolve a vector and work out displacement before calculating. You would also need to specify a direction at which the pilot travelled.
How we do convert a single force quantity into 2 quantities, vertical and horizontal?
We use trigonometry, sin(x) × hyp for vertical and cos(x) × hyp for horizontal.
What is the equation for density?
density = mass ÷ volume P = m / V