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pain
Kinetic energy
1/2mv²
Kinetic energy of a particle
p^2 /2m
Horizontal velocity
Vx=V0 cos(theta)
At peak trajectory, a balls vertical component of velocity is
0
𝐅net
𝑚(𝑑v/𝑑𝑡)
dWnet
Fnet•dr
𝑑𝑊net(extended)
𝑚(𝑑𝐯/𝑑𝑡)·𝑑r
Horizontal surface
Normal force=mg
Frictional force
mew static kinetic*Fn
Fnet
ma
d
(½)*a of x*t^2
Horizontal velocity (Component)
v of x=a of x*t
Instantaneous Power
P=f of x*v of x
Horizontal pulling force
Fnet=F-Frictional force
Horizontal work force
Horizontal pulling force*distance
Frictional force work
Wf=-Ff*d
Wnet
Fnet * d
Horizontal component of force
F of x=F*cos(theta)
Horizontal acceleration
a=F of x/m
Work energy theorem
the net work done on an object is strictly equal to its change in kinetic energy
Newtons second law applies to
the motion of the center-of-mass of the object
Rotational Kinetic Energy
K=1/2(Sum of m*v²)*w²
Tangential speed
v of i=2pi*r of i
Ktr
1/2(sum of m of i * v of i²)
rot kinetic energy
K=1/2(I)*w²
Moment of inertia
(sum of m of i* r of i²)
Angular velocity
w=the limit as change in time approaches 0 of change in d over change in t