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Hint

1

use this equation to determine the velocity given the displacement or speed and the distance.

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2

use this equation to determine acceleration

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3

use this equation to determine the change in displacement holding the acceleration constant

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4

use this equation to determine the final velocity given initial velocity, time, and holding acceleration constant

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5

use this equation to determine the final velocity given initial velocity, change in displacement, and holding acceleration constant

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6

use this equation to determine the average velocity

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7

use this equation to determine the velocity in a free fall scenario where acceleration due to gravity is equal to 9.8 m/s²

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8

use this equation to determine the centripetal acceleration of an object moving in a circle at a constant speed

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9

use this equation to determine the centripetal force of an object moving in a circle at a constant speed

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10

use this equation to determine the gravitational force btw. two objects

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11

use this equation to determine the the force on an object due to kinetic friction

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12

use this equation to determine the static friction acting between two objects which are stationary due to each other

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13

use this equation to determine the Newton's Second Law.

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14

use this equation to solve for gravitational potential energy in situations relatively close to Earth's surface

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15

use this equation to solve for kinetic energy.

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16

use this equation to determine the torque or moment of force

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17

use this equation to determine work where θ is the angle btw. the force and the displacement vector

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18

use this equation to determine the momentum of an object in motion

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19

use this equation to determine the capacitance of a capacitor

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20

use this equation to determine the potential energy stored in a capacitor

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21

This equation describes the potential energy of a point charge in an electric field due to an electric force times displacement of the charge (arbitrary, similar to gravitational pot energy)

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22

use this equation to determine the attractive or repulsive force two charges exert on one another

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23

use this equation to determine the potential energy due to two point charges

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24

use this equation to determine the magnetic force on a moving charge in an external magnetic field.

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25

use this equation to determine the drop in electric potential across a resistor

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26

use this equation to determine the total electric current passing through a conductor per unit of time

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27

use this equation to determine the magnitude of the magnetic field produced by a circular loop of current-carrying wire at the center of the loop

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28

use this equation to determine the magnitude of the magnetic field produced by a straight current-carrying wire at a chosen point in space.

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29

use this equation to determine the magnetic force on a current-carrying wire in a uniform external magnetic field.

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30

use this equation to determine the magnetic force

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31

use this equation to determine the weight of an object

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32

use this equation to determine Newton's Third Law

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33

use this equation to determine the rate at which energy is transferred from one system to another

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34

use this equation to determine the conservation of mechanical energy when no dissipative forces are present

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35

use this equation to determine the total mechanical energy

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36

the expression of the relationship btw. work and energy theorem

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37

use this equation to determine the change in momentum or Impulse

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38

use this equation for conservation of momentum during elastic and inelastic collision

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39

use this equation for conservation of Kinetic Energy during completely elastic collision

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40

use this equation for conservation of momentum during completely inelastic collision

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41

use this equation to determine the ratio of the force exerted on an object by a simple machine (Fout) to the force actually applied on the simple machine (Fin)

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42

use this equation to determine the efficiency of a machine

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43

use this equation to determine the center of mass

x = the x-axis at that point

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44

use this equation to convert btw Celsius and Kelvin

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45

use this equation to determine the change in lenght of an object subjected to a change in temperature

L = original lenght α = constant that characterizes how the lenght change as temperature change

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46

use this equation to determine the change in volume of a fluid or object subjected to a change in temperature

β = 3α

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47

use this equation to determine the change in total internal energy of a system undergoing a thermodynamic process

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48

use this equation to determine the heat gain or lost by a substance subjected to a change in temperature

c = specific heat

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49

use this equation to determine the heat gain or lost by a substance subjected to a change in phase

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50

use this equation to determine the work done on or by a system that undergoes a change in volume at constant pressure

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51

use this equation to determine the change in entropy of a system at a given temperature

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52

use this equation to determine the electric field produced by a source charge at a chosen point in space

K = electrostatic constant = 8.98 × 10⁹ Nm²/C²

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53

use this equation to calculate the electric potential energy btw two charges separated in space

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54

use this equation to determine the electric potential due to a known source charge at a chosen point in space

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55

use this equation to determine the electric potential at a point in space due to an electric dipole

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56

use this equation to determine the electric field due to an electric dipole along the perpendicular bisector of the dipole

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57

use this equation to determine the net torque experience by an electric dipole about the center of the dipole axis due to an external electric field

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58

use this equation to determine the force experience by a charge in an electric field

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59

use this equation to determine the magnetic field produced by a straight current-carrying wire at a chosen point

i = current in wire µ₀ = permeability of free space = 1.26 ×10⁻⁷ Tm / A

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60

use this equation to determine the magnetic field produced by a circular loop of current-carrying wire at the center of the loop

i = current in wire µ₀ = permeability of free space = 1.26 ×10⁻⁷ Tm / A

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61

use this equation to determine the magnetic force on a moving charge in an external magnetic field

θ = smallest angle btw qv and B

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62

use this equation to determine the magnetic force on current-carrying wire in a uniform external magnetic field

L = length of wire

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63

use this equation to determine the total electric current passing through a conductor per unit of time

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64

use this equation to determine the resistance of a given resistor

p (resistivity) = number that characterizes the intrinsic resistance to current flow of a material

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65

use this equation to determine the resultant resistance of multiple resistors in series

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66

use this equation to determine the power dissipated by a given resistor

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67

use this equation to determine the resultant resistance of multiple resistors in parallel

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68

use this equation to determine the capacitance of a parallel plate capacitor

ε₀ (permittivity of free space) = 8.85 × 10⁻¹² F/m

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69

use this equation to determine the increase in capacitance due to a dielectric material

C' = new capacitance K (dielectric constant) = measure the insulating capability of a dielectric material.

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70

use this equation to determine the electric field at a point in space btw the plates of a parallel plate capacitor

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71

use this equation to determine the resultant capacitance of multiple capacitors in series

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72

use this equation to determine the resultant capacitance of multiple capacitors in parallel

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73

use this equation to determine the total voltage drop across multiple resistors and multiple capacitors in parallel

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74

use this equation to determine the total voltage drop across multiple resistors and multiple capacitors in series

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75

use this equation to estimate the current in an AC system

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76

use this equation to estimate the average magnitude of alternating current over one period

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77

use this equation to estimate the average magnitude of AC voltage over one period

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78

use this equation to determine the actual voltage supplied by a cell to a circuit

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79

use this equation to determine the restoring force for a spring

Hooke's Law

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80

use this equation to determine the angular frequency for a spring

k - spring constant

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81

use this equation to determine the angular frequency for a pendulum

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82

use this equation to determine the potential energy of a spring

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83

use this equation to determine the restoring force for a pendulum

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84

use this equation to determine the sound level

I₀ - is a reference intensity set a the threshold of hearing: 1 x 10⁻¹² W/m²

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85

use this equation to determine the speed of a wave

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86

use this equation to determine the change in intensity of a sound

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87

use this equation to determine the beats that its created when two sounds waves have nearly equal frequencies in the audible range.

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88

use this equation to determine the perceived frequency of a sound and its actual frequency when the source of a sound and the sound's detector are moving relative to each other.

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89

use this equation to determine the wavelength, and the length of a closed pipe ( n = odd integer)

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90

use this equation to determine the wavelength of a standing wave of a strings, and the length of an open pipe ( n = positive non-zero integer)

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91

use this equation to determine the average rate per unit area at which energy is transferred across a perpendicular surface by the wave

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92

use this equation to determine the ratio of mass to volume

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93

use this equation to determine the ratio of normal force per unit area - pressure

1.013 × 10⁵ Pa = 1atm = 760 torr = 760 mmHg

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94

use this equation to determine the Pascal's Principle

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95

use this equation to determine the total pressure that is exerted on an object that is submerge in a fluid - Absolute Pressure

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96

use this equation to determine the difference btw the absolute pressure inside a container and the atmospheric pressure outside the container - Gauge Pressure

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97

use this equation to determine the buoyant force

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98

use this equation to determine the critical velocity of a fluid at which turbulence can arise

NR = Reynolds number η = viscosity of the fluid

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99

use this equation to measure the linear displacement of a fluid particle in a given amount of time - Continuity Equation

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100

use this equation to determine the relationship btw absolute pressure, dynamic pressure, and gauge pressure of a fluid - Bernoulli's Equation

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