things to memorise Flashcards
Estimate the mass of a person
70kg
Estimate the height of a person
150cm
Estimate the walking speed of a person
1 m/s
Estimate the speed of a car on the motorway
30 m/s
Estimate the volume of a can of a drink
300 cm^3
Estimate the density of water
1000 kg/m^3
Estimate the current in a domestic appliance
13A
Estimate the e.m.f. of a car battery
12V
Estimate the hearing range (frequency)
20Hz to 20000 Hz
Estimate the young modulus of a material
something x 10^11
Distance
Total length moved (no direction)
Displacement
Distance in a certain direction
Speed
Distance over time taken
Velocity
Displacement over time taken
SUVAT Equations?
v=u + at v^2= u^2 + 2as s=ut + 1/2at^2 s=vt - 1/2at^2 s = 1/2(v + u) x t
Acceleration of free fall
9.81 m/s^-2
Projectile motion
uniform velocity in one direction and constant acceleration in perpendicular direction
Newton’s first law
An object remains stationary or in uniform motion unless a resultant force acts upon it.
Newton’s second law
The rate of change of momentum is proportional to the resultant force and occurs in the direction of force.
Newton’s third law
Every force has an equal force that occurs in the opposite reaction forming an action - reaction pair
Mass
Measure of the amount of matter in the body
Weight
Force of gravitational attraction on a body
Momentum
mass x velocity
Force
m x a; change in momentum/time taken for change
Principal of conservation of momentum
When bodies in a system interact, total momentum remains constant provided no external force acts on the system.
Perfectly elastic collision
A collision in which the total momentum is conserved. A collision in which the total kinetic energy is conserved.
Two identical spheres collide elastically. Initially, X is moving with speed v and Y is stationary. What happens after the collision?
X stops and Y moves with the speed of V : relative velocity before collision = - (relative velocity after collision)
Perfectly inelastic collision
Total energy is conserved but Ek is converted into other forms of energy. Only momentum is conserved and the particles stick together after collision.
Force
rate of change of momentum
Density
Mass per unit of volume
Pressure
Force per unit area
Upthrust
An upward force exerted by a fluid on a floating or submerged object. Caused by the difference in pressure on the bottom surface and the top surface.
Frictional force
Force caused by the rubbing of two surfaces
- always opposes relative or attempted motion
- always acts along the surface
Viscous force
Force caused by motion of an object in a fluid
- only exists when there is motion
- magnitude increases with speed of the object
Centre of Gravity
Theoretical point through which all the weight of an object is assumed to act.
Couple
A pair of forces the same size that produce rotation
- same magnitude
- same distance from pivot
- opposite direction
Moment
Moment = force x distance from pivot (perp.)
Torque of a couple
Force x distance between forces
Conditions of equilibrium
Resultant force equals zero. Resultant rotational force (torque) is equal to zero.
Principle of moments
For a body to be in equilibrium, the sum of all clockwise moments must equal the sum of all anticlockwise moments about the same pivot.
Pressure in fluids
Volume of water = A x h
Mass of Water = density x volume = p x A x h
Weight of water = density x volume x gravitational force = p x A x h x g
Pressure = force/area = p x A x h x g/ A = p x g x h
Therefore pressure = pgh
Law of conservation of energy
The total energy of an isolated system cannot change - it is conserved over time. Energy cannot be made or lost just converted between different forms.
Work done by a force
W = F x s
Work done by an expanding gas
W = pressure x change in volume
Temperature of gas has to be constant.
Gravitational potential energy
W = m g h
Power
V x I; Work done / time taken
Efficiency
Useful energy output/total energy output x 100
Hooke’s Law
The extension produced by a spring is proportional to the applied force as long as the elastic limit is not exceeded: F = k x x
Parallel springs
ke = k1 + k2
Springs in series
1/ke = 1/k1 + 1/k2