Equations (s1)

Question 1

Average velocity

Answer 1

displacement / time = Δd / Δt = (dƒ - d0) / (tƒ - t0)

Question 2

Acceleration

Answer 2

velocity over time or (final velocity - initial velocity) / (final time - initial time)

Question 3

Final velocity

Answer 3

Initial velocity + (acceleration * time)

Question 4

Displacement

Answer 4

Half of (initial velocity + final velocity) * time

Question 5

Quadratic displacement

Answer 5

Initial velocity * time + 1/2(acceleration * time) squared

Question 6

Final velocity squared

Answer 6

Initial velocity squared + 2 * (acceleration * displacement)

Question 7

Force

Answer 7

Mass * acceleration

Question 8

Friction

Answer 8

Coefficient of friction * normal force

Question 9

Coefficient of static friction

Answer 9

maximum static friction force / normal force

Question 10

Weight

Answer 10

mass * gravity

Question 11

Kinetic energy

Answer 11

1/2(mass * velocity) squared

Question 12

Impulse

Answer 12

Net force * time delta

Question 13

Impulse = change in momentum

Answer 13

Force * time delta = mass * velocity delta

Question 14

Vertical motion equation

Answer 14

x = initial y position + (initial y position * time) - 1/2(gravity * time) squared

Question 15

Normal force or y component of weight (inclined plane)

Answer 15

weight * cos(angle of elevation)

Question 16

weight

Answer 16

mass * gravitational accel constant

Question 17

x component of weight

Answer 17

weight * sin(angle of elevation)

Question 18

Angle at which an angle will start to slide on a slope

Answer 18

inverse tangent(coefficient of static friction)

Question 19

acceleration of an object on a slope

Answer 19

gravitational accel(sin(angle of elevation) - coefficient of kinetic friction * cos(angle of elevation))

Question 20

force of static friction (inclined plane)

Answer 20

coefficient of static friction * normal force

Question 21

Hook’s law

Answer 21

Force of spring = distance stretched * spring constant

Question 22

Period for an oscillating spring

Answer 22

T = 2pi \sqrt(mass / spring constant)

Question 23

Period for a pendulum

Answer 23

T = 2pi \sqrt(length of pendulum / gravity)

Question 24

Arc length

Answer 24

radius * theta (radians)

Question 25

Angular velocity

Answer 25

angle delta / time delta

Question 26

Tangential velocity

Answer 26

angular velocity * radius or delta distance / delta t

Question 26

Centripetal accel

Answer 26

tangential velocity^2 / radius or radius * angular velocity^2

Question 27

Force of gravity

Answer 27

G* (mass1 * mass2 / radius^2)

Question 27

Centripetal force

Answer 27

mass * radius * angular vel^2 or (mass * velocity^2) / radius

Question 28

Gravitational constant

Answer 28

6.673*10^-11

Question 29

Angular acceleration

Answer 29

delta ang vel / delta time

Question 30

Angle traveled

Answer 30

Ang vel * time

Question 31

torque

Answer 31

radius * force * sin(theta)

Question 32

Moment of inertia

Answer 32

sum(mass * radius^2)

Question 33

torque

Answer 33

moment of inertia * angular acceleration

Question 34

Angular momentum

Answer 34

Moment of inertia * angular velocity

Question 35

Linear kinetic energy

Answer 35

1/2 mass (kg) * vel (m/s)

Question 36

Moment of inertia (for a solid sphere)

Answer 36

5/2 * mass (kg) * radius^2

Question 37

Gravitational potential energy

Answer 37

mass (kg) * gravity (m/s^2) * height from zero point (m)

Question 38

Elastic potential energy stored in a spring

Answer 38

1/2 * spring constant * extension of spring