Speed of Sound in Air
340 m/s
Only force acting on a projectile
Gravity
v = (2pir)/T
linear velocity
This force provides the centripetal acceleration
Gravity
How many radians is 78°?
1.36 radians
(mv^2)/2
Kinetic energy
Mass of Earth
6 x1024 kg
We ignore this in all our calculations
Drag/Friction/Air Resistance
omega omega
angular velocity
Kepler's Third Law
(r^3)/(T^2) = (GM)/(4pi^2)
finding the value of acceleration due to gravity
g = (GM)/(r^2)
The two types of energy of an orbiting mass
Kinetic and Potential
Specific Heat Capacity of water
4.18 x103 J/kg/K
At max height, all velocity is in the ? direction
horizontal
tau =
tau = Fr(sin theta)
For any central massive body, this value is constant
(GM)/(4pi^2)
What is orbital velocity independent of?
the mass of the orbiting object
v = sqrt(GM/r)
GPE becomes more _________ as an object moves towards the central mass
negative
Speed of Light
3 x 108 m/s
These two components are considered independent
Horizontal and Vertical
F = (mv^2)/r
Centripetal Force
v^2 = grtantheta
limiting speed of motion on a banked track, where no sideways friction is accounted for
When projectile motion is symmetrical, we can find range using:
s_x = (v^2 sin 2 theta)/g
Which 2 equations give us this one?
K = (GMm)/(2r)
v^2 = (GM)/r
K = (mv^2)/2
Density of Water
1.00 x 103 kg/m3
Most projectiles follow this shape
Parabola
that the motion is Uniform Circular motion and that the linear velocity is constant.
v_0 = sqrt((rF_0)/m)
maximum speed a vehicle can travel around a flat curve
GPE
U = (-GMm)/r
Total energy of an orbiting object
- (GMm)/(2r)