Book Two Flashcards
Kinematics - Dynamics - Forces, Density and Pressure
*what is distance? + SI unit
the length of the actual path followed by a body
metre
*what is displacement? + SI unit
the shortest distance between two points
metre
*what is speed? + formula, SI unit
the rate of change of distance
average speed = tot. distance moved / tot. time taken
ms^-1
*what is velocity? + formula, SI unit
the rate of change of displacement
average velocity = tot. displacement / tot. time taken
ms^-1
*what is acceleration? + formula, SI unit
the rate of change of velocity
average acceleration = change in velocity / time taken
ms^-2
*equations of motion
v = u + at
s = ut + 1/2at^2
v^2 = u^2 + 2as
*what is acceleration of free fall?
acceleration due to gravity
9.81ms^-2
g
*displacement-time graph (s-t graph)
- gradient is uniform velocity
- straight line is stationary/at rest
- inward curve is for acceleration
- outward curve for deceleration
*velocity-time graph (v-t graph)
- gradient = acceleration
- straight line is uniform acceleration
- uniform deceleration
- inward curve is non-uniform increasing acceleration
- outward curve is non-uniform decreasing acceleration
*what is newtons 1st law?
a body will remain in its uniform state of rest or motion on a straight line unless acted upon by a resultant force
*what is inertia?
the reluctance of a body to change its state of rest or motion
*what is mass?
the property of a body that resists change in its state of motion
*what is momentum? + formula, SI unit
the product of mass and velocity
p = mv
kgms^-1
*what is the principle of conservation of momentum?
it states that total momentum of a system remains constant unless an external force acts on it
*what is newtons 2nd law?
rate of change of momentum is directly proportional to the resultant force acting upon it
*what is a newton?
the force that gives unit mass unit acceleration
*what is impulse? + formula, SI unit
the product of force and time
impulse = force x time
Ns or kgms^-1
*what is newtons 3rd law?
for every action force there is an equal and opposite reaction force
*what is weight? + formula, SI unit
this is force of gravity acting on a body
W = mg
N
*nb:
mass doesn’t vary from place to place but weight does since g isn’t constant
*what is a projectile?
any object thrown in the earths gravitational field
*equations of projectile motion : vertical motion
- max. height
hmax. = u^2sin2x / 2g - time taken to reach hmax.
t = usinx / g - time of flight = 2t
2t = 2usinx / g
alt.
t’ = 2usinx / g
*equations of projectile motion : horizontal motion
- range
R = u^2 / g (sin2x)
for a given velocity or projection, R is maximum when sin2x = 1 - x = 45*
then,
Rmax = u^2 / g
*what are collisions? + types
interaction between bodies
- elastic and inelastic collisions
*what are elastic collisions?
where kinetic energy is conserved
*what are inelastic collisions?
where kinetic energy is not conserved
*before collision = after collision formula
m1u1^2 + m2u2^2 = m1v1^2 + m2v2^2
*equations of collisions
- m1(u1 - v1) = m2(u2 - v2)
- m1(u1 - v1)(u1 + v1)=m2(v2 - u2)(v2 + u2)
- u1 - u2 = - (v1 - v2)
- u1 = v1 + v2
- u1 = v2 - v1
*what is force? + formula, SI unit
a push or pull on one body by another
F =ma
N
*types of forces
weight - gravitational force on a body
upthrust - upward force experienced by a body placed in a fluid that causes it to float
thrust - forward force from an engine
air resistance - frictional force that resists motion of a body in air
tension - force in a stretched material
friction - the resistance of the sliding or rolling of one body over another
contact - force between two bodies
*what is upthrust?
upward force experienced by a body immersed in a fluid which causes a pressure on the body exerted by the fluid
*what is archimedes principle?
a body immersed in a fluid experiences an upthrust equal to the weight of the displaced fluid.
*what is friction? + types
the resistance of the sliding or rolling of one body over another
- static and dynamic friction
- static > dynamic
*what is static friction?
friction that occurs when a body is just about to start moving
*what is dynamic friction?
friction that occurs between surfaces of bodies in motion
*positive effects of friction
- gives feet, shoes, tyres grip on the ground
-used in most braking systems
*negative effects of friction
- causes wear and tear of moving parts of machinery
- generates unwanted heat in machines
*how to reduce friction in machines
- using roller bearings/ball bearings
- applying grease/oil
what is centre of gravity?
a point on a body where the total mass or weight tends to act
what is a moment? + formula, SI unit
the product of force and its perpendicular distance from the pivot
moment = force x perpendicular distance from the pivot
Nm
principle of moments
for a body to be in equilibrium, the sum of clockwise moments about a point must equal to the sum of anticlockwise moments about that same point
what is a torque? +Formula, SI unit
this is the moment of a force about a point, which causes rotational motion
T = Fd or T = F x r x sinx
Nm
conditions for equilibrium
- resultant moment must equal zero
- resultant force must be zero
*what is density? + formula, SI unit
this is mass per unit volume
density = mass / volume
kgm^-3
what is pressure? + formula, SI unit
force acting normally on a surface per unit area
pressure = force / area
Pa
what happens to a stationary liquid in an open container?
pressure:
1. acts equally in all directions
2. increases with depth
3. independent of shape of container
properties of liquids in hydraulic systems
- liquids are virtually incompressible
- if a trapped liquid is put under pressure, the pressure is uniformly transmitted to all parts of the liquid
examples of hydraulic machines
- car brake system
- arms and diggers of earth movers
- hydraulic jacks
how to measure:
atmospheric pressure
gas pressure
+ commonly used units of pressure
- barometer
- manometer
bars, atmospheres and mmHg