M5 Advanced Mechanics Flashcards

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1
Q

height from above ground

A

is usually the total height - the displacement for that time period

eg total vertical displacement is 100m downwards (half flight)

in 5 seconds, vertical displacement is 30m down

therefore height above ground is 70m

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2
Q

practical investigation (proj)

A

aim: to determine the relationship between launch angle and range (half flight) (marble off a ramp off a table)

independent variable: launch angle
dependent variable: range of marble

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3
Q

angular velocity formula

A
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4
Q

banked tracks formula

A

tanθ = v²/rg

this is because mgtanθ = mv²/r

a car moving at this velocity could safely travel around a banked curve even if the road is covered with ice

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5
Q

gravitational field strength formula (acceleration due to gravity)

A

g=GM/r²

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6
Q

orbital velocity formula

A
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7
Q

escape velocity formula

A
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8
Q

what is escape velocity

A

The minimum velocity with which an object can escape the gravitational pull of the planet

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9
Q

kinetic energy, GPE energy, total energy formula

A
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10
Q

UNIFORM HORIZONTAL MOTION (normal and weight force)

DRIVING THROUGH A CIRCULAR DIP

DRIVING OVER A CIRCULAR HUMP

A
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11
Q

During uniform circular motion, work…

A

is not done

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12
Q

positive work is done on the object when

A

the radius of the motion increases

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13
Q

negative work is done on an object when…

A

the radius of the motion decreases

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14
Q

torque is

A

the effect of a rotational force

is the force that causes something to rotate

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15
Q

there is no torque when

A

object is moving in uniform circular motion as the centripetal force is parallel to the radius

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16
Q

Radian <==> Degree Conversion

A
17
Q

angular velocity and linear velocity relationship

A

v = wr

18
Q

leaning scenarios

A
19
Q

banking scenarios

A

θ is the same when the cyclist is perpendicular to the incline plane

20
Q

why is banking effective?

A

Banking the road
allows a component of the normal
reaction to contribute to the
centripetal force.

This increases the magnitude of
the net force and, therefore, the magnitude of the centripetal force keeping them in the curve.

21
Q

accuracy

A

how close a measurement is to the true value

22
Q

precision

A

how close the measurements are to each other

23
Q

reliability

A

will one get the same values if the measurements are repeated

24
Q

validity

A

are the values describing what was supposed to be measured

25
Q

2 types of earth orbits (qualitative)

A
26
Q

deep dive into low earth orbits

A

what is it?
satellite remains just outside the earth’s atmosphere throughout the whole orbit

key features?
key uses?
orbital decay?

27
Q

deep dive into geostationary orbits

A

what is it?
satellite maintains a position directly above a specific point on the Earth (point must be on the equator)

key features?
key uses?

28
Q

difference between geostationary orbits and geosynchronous orbits?

A

geosynchronous has (T = 24 hrs) however doesn’t have to be over equator

all geostationary orbits are geosynchronous BUT not all geosynchronous orbits are geostationary

29
Q
A

A

30
Q

escape velocity is

A
31
Q

deriving relationship between linear and angular velocity

A
32
Q

diagram of banked tracks

A
33
Q

derivation of
v² = grtanθ
(banked tracks)

A
34
Q

deriving kepler’s third law

A
35
Q

Kepler’s 3 Laws

A

1: Kepler’s First Law: each planet’s orbit about the Sun is an ellipse (IRRELEVANT)
2: the imaginary line joining a planet and the Sun sweeps equal areas of space during equal time intervals as the planet orbits
3: (image)

36
Q

Kepler’s 2nd Law
CB (central body)
OB (orbiting body)

A

the OB travels faster when it is closer to the CB than when it is further away

  • the closer the OB is to the CB, the stronger the CB’s gravitational pull on it, and the faster the OB moves
37
Q

N1L (inertia)

A

Every object continues in its state of rest or uniform motion in a straight line, unless acted on by an unbalanced forced

37
Q

N2L (net force)

A

F = ma (net force)

38
Q

N3L

A

Every action force has an equal and opposite reaction force
1. the forces acting on different objects
2. same type of force
N3L force pair: force of A on B
force of B on A
3. Equal in magnitude, opposite in direction
☆ forces are equal in magnitude, but the EFFECT could be drastically different