D&R 2 Flashcards

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1
Q

What are the relationships for Work Done?

A

W = Fs

W = Fs cos•

W = § Fx dx

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2
Q

What is the relationship for Work Done in a spring?

A

W = 1/2 kx

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3
Q

What is the relationship for the total Work Done

A

W(tot) = DK

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4
Q

What are the relationships for Power and Work?

A

P = DW/Dt
W = Fs
P = F ds/dt
= Fv
W = {P2-P1} § F dt

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5
Q

What is the relationship for gravitational potential energy?

A

U = mgy

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6
Q

What is the relationship for elastic potential energy?

A

U = 1/2 kx^2

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7
Q

What is the relationship between force and potential energy

A

F = -dU/dt

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8
Q

What is the relationship for spring kinetic energy?

A

K = 1/2 kx^2

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9
Q

What is the relationship for the conservation of energy?

A

K + U + W = 0

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10
Q

What are the principles of conservation of energy?

A

Energy can neither be created nor destroyed
Energy can be converted from one form to another

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11
Q

What is the relationship for gravitational field strength?

A

g = GM/r^2

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12
Q

What is the relationship for the gravitational potential energy between two objects?

A

U = -G m1m2/r

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13
Q

What is the relationship for momentum?

A

p = mv

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14
Q

What is the relationship for impulse?

A

J = Ft
J = Dp

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15
Q

What is the principle of conservation of linear momentum?

A

The total linear momentum of an isolated system is conserved

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16
Q

What is an isolated system?

A

One with no net external forces

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17
Q

What are the relationships for conserved kinetic energy and momentum?

A

K: 1/2m1v0^2 = 1/2m1v1^2 + 1/2m2v2^2
p: m1v0 = m1v1 + m2v2

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18
Q

What makes a collision elastic?

A

The total K is conserved

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19
Q

What makes a collision COMPLETELY inelastic

A

When the objects stick together

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20
Q

What is the relationship for torque

A

Þ = Fr

21
Q

What is the relationship for angular momentum?

A

L = rp

22
Q

What is the relationship for rotational kinetic energy?

A

K = 1/2 Iw^2

23
Q

What is torque?

A

The produce of a force with respect to O and its lever arm, the perpendicular

24
Q

What is the relationship for moment of inertia of a point mass?

A

I = mr^2

25
Q

What is the relationship for moment of inertia of a rod at centre

A

I = 1/12 ML^2

26
Q

What is the relationship for moment of inertia of a rod at end

A

I = 1/3 ML^2

27
Q

What is the relationship for moment of inertia of a plate at centre

A

I = 1/12 M(a^2 + b^2)

28
Q

What is the relationship for moment of inertia of a plate at edge

A

I = 1/3 Ma^2

29
Q

What is the relationship for moment of inertia of a hollow cylinder

A

I = 1/2 M(R1^2 + R2^2)

30
Q

What is the relationship for moment of inertia of a solid cylinder

A

I = 1/2 MR^2

31
Q

What is the relationship for moment of inertia of a thin hollow cylinder

A

I = MR^2

32
Q

What is the relationship for moment of inertia of a solid sphere?

A

I = 2/3 MR^2

33
Q

What is the relationship for moment of inertia of a hollow sphere?

A

I = 2/3MR^2

34
Q

What is the relationship for the total torque?

A

Þ = I ą
(F = ma)

35
Q

What is the relationship for total inertia?

A

I = § r^2 dm

36
Q

What is an event?

A

An event is a physical “happening” that occurs at a particular place and time

37
Q

What is an inertial frame of reference?

A

One for which Newton’s law of inertia is valid

38
Q

What is Einsteins first postulate?

A

The principal of relativity: the laws of physics are the same for all inertial frames of reference

39
Q

What is Einstein’s second postulate?

A

The speed of light in a vacuum is the same in all inertial frames of reference and is independent of the motion of the source

40
Q

What was Einsteins thought experiment?

A

Acceleration is indistinguishable from gravity by experiment

41
Q

What is the Lorentz factor?

A

y = 1/_/1-(v/c)^2

42
Q

What is time dialation?

A

Time appears relatively and time intervals dial are in a non inertial frame of reference

43
Q

What is the relationship for time dialation?

A

ť = t0/_/1-(v/c)^2 = yt0

44
Q

What is length contraction?

A

Length appears relatively and contracts in non inertial frames of reference

(Length perpendicular to the direction of travel does not contract)

45
Q

What is the relationship for length contraction?

A

ľ = l0 _/1-(v/c)^2

46
Q

What are the Lorentz transformations?

A

x’ = y(x-ut)
t’ = y(t- ux/c^2)
vx’ = (vx - u)/(1-uvx/c^2)

47
Q

What is the relationship for relativistic momentum?

A

p = ymv

48
Q

What is the relationship for relativistic kinetic energy?

A

K = (y - 1)mc^2

49
Q

What are the relationships for relativistic energy?

A

E = ymc
p = ymv
v=c
E = pc