mechanics Flashcards
scalar quantities
- quantities that have magnitude (size), but not direction
- e.g. mass, energy, pressure, temp, power, speed, distance, time
vector quantities
- quantities that have both magnitude (size) and direction
- e.g. displacement, acceleration, velocity, force, momentum
an accelerating object can be moving at a constant speed if…
it is changing direction constantly
displacement
the shortest distance from one point to another in a particular direction
acceleration=
(final velocity - initial velocity) /time
- units : ms-2
- direction is the same as the direction of the change in velocity
distance-time graphs
- can only be +ve, line cannot go down
- the gradient at a point = the speed at that point
displacement-time graphs
- zero value (on x-axis): at starting point
- +ve value (above x-axis): at +ve side of starting point
- -ve value (below x-axis): at -ve side of starting point
- flat line: stationary
- ascending line: moving in +ve direction
- descending line: moving in -ve direction
- exponential increasing line: increasing velocity
- exponential decreasing line: decreasing velocity
- the gradient at a point = the velocity at that point
velocity-time graphs
- zero value (on x-axis): stationary
- flat line: constant velocity
- ascending line: accelerating in +ve direction
- descending line: accelerating in -ve direction
- exponential increasing line: increasing acceleration
- exponential decreasing line: decreasing acceleration
- the gradient at a point = the acceleration at that point
- area under graph = change in displacement
speed-time graphs
- can only be +ve
- area under graph = distance travelled
equations of motion
- s=0.5(u+v)t
- 𝑠=ut + 0.5at^2
- v^2=𝑢^2+2𝑎𝑠
- average v = 0.5(u+v)
forces
- the application of a push or a pull to an object by another object
- vector quantity,
- units: newtons (N)
- types: weight, normal contact, drag, friction, magnetic, electrostatic, upthrust, thrust, lift and tension
force formulae
F=ma F=momentum/time P=F/a moment=F x perpendicular distance Ew = F x displacement
weight formula
W=mg
W=weight in N
m=mass in kg
g=gravitational field strength in Nkg-1 (9.8 on Earth)
normal contact force
-force as a result of 2 solid objects being in contact with each other
tension
- when a spring/string/wire is pulled by equal and opposite external forces at each end as shown, it is said to be subjected to a tension force, 𝑇
- this tension force usually causes the length of the spring/string wire to increase slightly.
- the increase in length = the extension
- the greater the tension force, the greater the extension
- T=weight=mg