phys ct Flashcards

1
Q

systematic vs random errors

A

systematic: all readings being above or below the true readings by a fixed amount
random: readings being scattered about a mean value

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2
Q

accuracy vs precision

A

accuracy: degree of closeness of mean value of measurements to true value
precision: degree of agreement between repeated measurements of the same quantity

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3
Q

4 kinematics equations

A

v = u + at
s = 1/2 (u+v)t
s = ut + 1/2at^2
v^2 = u^2 + 2as

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4
Q

newtons 1st law of motion

A

a body a rest will remain at rest or in uniform motion continues in its state in a straight line unless a resultant external force acts on it (inertia)

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5
Q

newtons 2nd law of motion

A

the rate of change of momentum of a body is proportional to the resultant force acting on it and occurs in the direction of the force

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6
Q

newtons 3rd law of motion

A

if body a exerts a force on body b, body b exerts an equal and opposite force on body a

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7
Q

mass vs weight

A

mass: property which results in a change in motion
weight: force experienced by a mass in a gravitational field

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8
Q

action reaction

A

forces equal in magnitude opposite in direction, same type of forces on 2 diff bodies acting at the same time

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9
Q

impulse

A

product of force acting on object and time (delta T) for which force acts

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10
Q

principle of conservation of momentum

A

when bodies in a system interact, total momentum of the system remains constant

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11
Q

impulse formula

A

delta p = f delta t

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12
Q

elastic collision ke conserved formula

A

u1-u2 = v2-v1

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13
Q

momentum conserved formula

A

m1u1+m2u2=m1v1+m2v2

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14
Q

force parallel to slope equation

A

mg sin theta/mg cos theta

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15
Q

Hooke’s law

A

extension of body directly proportional to the applied load if limit of proportionality is not exceeded

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16
Q

archimedes principle

A

upthrust on body in fluid equal to weight of fluid displaced by body

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17
Q

principle of flotation

A

for object floating in equilibrium, upthrust equal in magnitude and opposite in direction of weight of object

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18
Q

center of gravity

A

point at where weight of object appears to act

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19
Q

conditions for equilibrium

A

no net force zero moments

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20
Q

epe formula

A

1/2kx^2
1/2 fx

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21
Q

pressure in fluid formula

A

hp(density)g

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22
Q

upthrust formula

A

weight of fluid displaced = p(density)gv

23
Q

power formula

A

force x velocity
energy / time

24
Q

work done formula

A

f costheta x s

25
Q

work done by gas formula

A

p change in volume

26
Q

angular velocity

A

rate of change of angular displacement with respect to time

27
Q

period formula

A

time taken to make 1 complete revolution

28
Q

angular velocity formula

A

w=v/r
w=2pi/T
w=2pif

29
Q

centripetal acceleration formula

A

a=vw
a=rw^2
a=v^2/r

30
Q

centripetal force formula

A

f=mvw
f=mrw^2
f=mv^2/r

31
Q

tension (in circle) formula

A

t=mv^2/r

32
Q

formula:
tension cos theta
tension sin theta
tan theta

A

tcostheta = mg
tsintheta = mv^2/r
tan theta = v^2/rg

33
Q

centripetal acceleration

A

acceleration towards center of circular motion

34
Q

velocity at top of circle formula

A

N + W = F
N + mg = mv^2/r
when N = 0,
vmin=rootgr

35
Q

velocity at bottom of circle formula

A

1/2mvbot^2 = 1/2mvtop^2 + mg(2r)
1/2mvbot^2 = 1/2mgr+mg(2r)
vbot=root5gr

36
Q

tension/normal force formula
at top and at bottom

A

ttop/ntop + mg = mv^2/r
stop/ntop = mv^2/r - mg

tbot/nbot - mg = mv^2/r
tbot/nbot = mv^2/r + mg

37
Q

tension of rod chasing formula

A

t+mgcos theta = mv^2/r
t = mv^2/r -mg cos theta

38
Q

gravitational force formula

A

F = GMm/r^2

39
Q

newtons law of gravitation

A

2 point masses attract each other with a force that is directly proportional to the product of their masses and inversely proportionate to the square of distance between them

40
Q

gravitational field

A

region in which mass placed in that region experiences a gravitational force

41
Q

gravitational field strength

A

gravitational force experienced per unit mass at that point

42
Q

gravitational potential energy

A

mass at a point in gravitational field, WD by external force in bringing mass from infinity to that point

43
Q

gravitational field formula

A

g=F/m
g=GM/r^2

44
Q

gravitational potential energy formula

A

U=-GMm/r
-ve !!

45
Q

gravitational potential

A

WD per unit mass by external force in bringing small mass from infinity to the point

46
Q

gravitational potential formula

A

theta w line = -GM/r = U/m
-ve as Gf is attractive in nature, bring mass from infinity to a point on field, force opposite in direction of displacement

47
Q

escape velocity

A

minimum speed to escape from gravitational influence

48
Q

escape velocity formula

A

GMm/Rearth + 1/2 mv^2 >/= o
v = root (2GM/Rearth)
v = root (2 g rearth)

49
Q

kinetic energy (gravitational field)

A

1/2 GMm/r

50
Q

potential energy (gravitational field)

A

-GMm/r

51
Q

total energy (gravitational field)

A

-1/2 GMm/r

52
Q

for body to orbit around earth formula

A

GMm/r^2 = mv^2/r
v orbital = root GM/r
GMm/r^2 = mrw^2 = mr(2pi/T)^2
T^2 = 4pi^2/GM r^3

53
Q

force at equator and polar region

A

equator: mg = mg-ma
g=g-a (a-centripetal acceleration)
polar region: mg=mg
g=g

54
Q

Kepler’s third law

A

gf provides centripetal force necessary for circular motion of plant around sun
square of period of revolution of planets directly proportional to cubes of mean distances from the sun