Final Exam Review Sheet



Final Exam Review Sheet

Fundamental quantities

Derived quantities,their symbols and SI units.

Standard form/scientific notation

Prefix interconversions

Average speed/velocity

Average acceleration

Kinematics equations

Falling objects

Graphical analysis of linear motion

Vector and scalar quantities

Subtraction and addition of vectors

Multiplication of a vector by a scale

Adding vectors of compounds

Projectile motion

Force (normal force, tension, friction); static kinetic

Newton’s laws of motion

Free body diagrams

Circular motion

Centripetal force, centripetal acceleration

Newton’s law of universal gravitation

Work and energy

Work-energy principle

Potential energy, elastic potential energy

Kinetic energy

Law of Conservation of energy

Conservative and non-conservative forces

Mechanical energy and its conservation

Power

Linear momentum

Impulse

Elastic and inelastic collisions

Center of mass

Rotational motion

Angular quantities

Angular acceleration

Rolling motion

Torque

Rotational dynamics

Rotational kinetic energy

Angular momentum

Formulas

Average speed= distance traveled

Time elapsed

Average velocity= displacement

Time elapsed

Average acceleration= velocity/time

For constant acceleration,

v= v0 + at

x= x0 + v0t + 1/2at2

v2 = v0 + 2a(x-x0)

v = (v +v0)/2

Quadratic formula

x= (-b +/-(b2-4ac)1/2)/2a

v x= vCos θ

v y = v Sinθ

v = (vx2 +vy2)1/2

Tanθ = v y/v x

F=ma

FG= mg

Ffr = μsFn or μkFn

a R = v2/r

FR=mv2/r

F = Gm1m2/r2

T=1/f

F=1/T

W= Fd Cosθ

KE= 1/2mv2

PE=mgy

Elastic PE= 1/2kx2

Wnet =ΔKE = ½ mvf2-1/2mvi2

KE +PE = constant

Power = Work or energy/time

p=mv

∑ F= Δp/t

mava +mbvb = mava’ + mbvb’

Impulse = Ft = Δmv

1/2mava2+1/2mbvb2 = 1/2mava2 + 1/2mbvb2

xcm= maxa + mbxb + ……/(ma+ mb+ …..)

θ= l/r

v= rω

a= ω2r

ω= 2πf

T=r F

T= rF Sinθ

∑ T= Iα

I = ∑mr2

W= FΔl

W= Fr Δθ

W = TΔθ

L= Iω

For constant acceleration,

ω=ω0+αt

θ=ω0t+1/2αt2

ω2 =ω02+2αθ

ω = (ω +ω0)/2

Necessary Skills

Describe the kinematics of rotational motion

Identify the angular quantities

Interconvert between angle and radians

Calculate for average angular velocity and

acceleration, and tangential acceleration

Define the term “momentum”

Use the formula momentum=mass(velocity)

Derive the SI unit for momentum

Use illustrations to represent momentum variables of an isolated system

Cite evidences of the law of conservation of momentum

Define impulse

Show that impulse is a change in momentum

Define terms elastic and inelastic collisions, and cite evidences of these

Calculate for unknown momentum variables in an isolated system

Define the terms “work and energy”

Describe the transfer between momentum and energy

- Relate application of force to work.

Use the formulae W= Fd or W= FdCosө

Identify the two types of mechanical energy

Calculate for kinetic energy

Explain the work-energy conservation principle

Calculate for gravitational potential energy and elastic potential energy

Use the formula a=v2/r

Use the formulae T= 1/f and f=1/T

Use the formula ΣF= ma and ΣF = mv2/r

Use the formula a=v2/r

Use the formulaeT= 1/f and f=1/T

Use the formula ΣF= ma and ΣF = mv2/r

Use the formula a=v2/r

Use the formulaeT= 1/f and f=1/T

Use the formula ΣF= ma and ΣF = mv2/r

Distinguish G from g

Use the formula mg=G(mm/r2)

Describe the actions of artificial Earth and geosynchronous satellite

Explain the terms circular motion, gravitation and centripetal (radial) acceleration

Use the formula a= change in velocity/time

Use the formula a=v2/r

Define and calculate for period and frequency

Use the formulae T=1/f and v= 2πr/T

Distinguish between the gravitational force on earth and moon

Explain circular motion in terms of the direction of centripetal force

Describe centripetal acceleration and factors that affect it

Use trigonometry and free body diagrams to determine variables of circular motion

Define coefficient of a friction

Write the symbol for coefficient of friction

Use the symbol for coefficient of friction in formula to determine friction quantitatively

Calculate the variables of a centrifugal motion

Distinguish between a vector and scalar quantity, and give examples of each

Draw vector diagrams for velocities and use the parallelogram method to find the resultant of the two vectors

Resolve a vector into horizontal and vertical components

Resolve a vector into vertical and horizontal components

Define the terms component and resolution

Explain why a projectile describe changes in the horizontal and vertical components of its velocity

Draw illustrations of upwardly launched projectiles

Define range

Determine relative velocity

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