Exam 1

You can refer to the following formulae at any time. 

Newton’s First Law (“Law of Inertia”): If F = 0, then v is constant
Newton’s Second Law: F = ma
Newton’s Third Law: “action = reaction”, “forces come in pairs”

Linear (translational) motion:
distance traveled = d = (average speed) x time
total displacement = d = (average velocity) x time
v_f = v₀ + at
d = v₀t + 0.5at²
work done = force x (distance moved in the direction of the force)
power = energy / time
kinetic energy = 0.5 mv²
gravitational potential energy = mgh

Rotational motion:
motion in a circle: arc length d = rθ,  centripetal acceleration a = v²/r

Gravity:
Newton’s law of gravity: F = Gm₁m₂/r²
Take the acceleration due to gravity near the Earth's surface to be g = 10 m/s²

Trigonometry:
sin 45⁰ = cos 45⁰ = 1/√2 = 0.71
sin 30⁰ = cos 60⁰ = 0.5,  cos 30⁰ = sin 60⁰ = (√3)/2 = 0.866
sin 37⁰ = 0.6,  cos 37⁰ = 0.8