M3 Newton's Laws and Momentum Flashcards
how are acceleration and force related
acceleration is directly proportional to force
the bigger the force, the greater the acceleration
how do we represent force
use an arrow
the direction of the arrow shows the direction of the net force
the size of the arrow shows the magnitude of the force
define newton
the force that will give a 1kg mass an acceleration of 1 ms^-2
units = kgms^-2
what’s the equation for weight
mass X gravitational field strength
for objects of different masses what do they have the same?
acceleration
what is the difference between mass and weight
mass is the same everywhere
weight depends on the gravitational field strength
would a moon buggy be easier to push on the moon? would it be easier to lift?
pushing it would be the same because the mass and acceleration are the same and F = ma so the force would be the same regardless of where you were
lifting would be easier of the moon because g is smaller on the moon and W = mg so the weight would be smaller hence being easier to lift
draw a velocity-time graph for someone in free fall
increases, reaches terminal velocity, parachute released, decreases, terminal velocity again
What does the magnitude of drag depend on
Speed of object
Cross sectional area of object
Roughness or texture of object
Density of fluid the object is travelling through
What is the special theory of relativity
As you approach the speed of light, mass is no longer constant
So F=ma doesn’t apply
Define work
Force applied X distance moved in the direction of the force
Define joule
The energy transferred when a force of 1N is applied over a distance of 1m
What is the equation for work done when there’s an angle and when there isn’t an angle
When there’s an angle W = Fcos(x)s
No angle W = Fs
Is work done a scalar or vector
What are its units
Scalar
J or Nm
Derive the equation for kinetic energy
Ek = Fs
F = ma and s = 0.5(u+v)t and a = (v-u)/t
So Ek = m((v-u)/t) X 0.5(u+v)t = 0.5m(v-u)(v+u) =0.5m(v^2 - u^2) But at the initial velocity there is no kinetic energy so it doesn't need to be there so Ek=0.5mv^2
What is the conservation of energy
Energy cannot be created or destroyed
It can be transferred from one form to another, however the total energy will remain constant (in a closed system)
Derive the equation for gravitational potential energy
Ep = Fs
S is the height
F = mg
Ep = mgh
what is the elastic potential energy of something
work done by the deforming force
derive an equation for elastic potential energy
PE = average force X extension
Hooke’s law: F = kx
Average force = 0.5kx
PE = 0.5kx X x
= 0.5kx^2
in a free fall with no air resistance what happens to the kinetic energy and the potential energy at the start and end
START
Ek = 0
E = Ep + Ek
= mgh + 0
END Ep = 0 Ek = 0.5mv^2 apply v^2 = u^2 + 2as u = 0 v^2 = 2as Ek = 0.5m(2as) =0.5m(2ah) a=g Ek = 0.5m(2gh) = mgh
so Ep at start = Ek at end
what is the equation for
Ep?
Ek?
Ep = mgh Ek = 0.5mv^2
A pendulum has a mass of 5kg and is held at a height of 0.15m
how fast will it move at its lowest point
GPE loss = mgh = 5 X 9.81 X 0.15 = 7.36J At the bottom the energy is transferred to kinetic energy so Ek = 7.36 = 0.5mv^2 0.5 X 5X v^2 = 7.36 v = 1.7ms^-1
OR
mgh = 0.5mv^2 gh = 0.5v^2 v = square root of 2gh = square root of 2 X 9.81 X 0.15 = 1.7 ms^-1
if there is friction what does Ep equal
Ep = Ek + Wf
Wf is friction which is the force X displacement
define power
the rate at which work is done
what are the base units of power
Js^-1