Physics 101 Formulas
4/9/2019 1
Kinematics
𝒗"#$ %='𝒙
') %%%%%%%%%%𝒂"#$ %='𝒗
')
𝑣% =%𝑣,%+%𝑎𝑡%%%%%𝑥%=%𝑥,%+%𝑣,𝑡%+1
2𝑎𝑡3%%%%%%%%%%%%%%%%%
%𝑣3%=%𝑣,
3%+%2𝑎𝛥𝑥
𝑔% = %9.8%m/s3%= %32.2%ft/s3
(near Earth’s surface)
Dynamics
𝛴𝑭%=%𝑚𝒂
%%𝑊𝑒𝑖𝑔ℎ𝑡% = %𝑚𝑔%
(near Earth’s surface)
𝑓G,I"J %%=%𝜇G𝐹M
%%%%%
𝑓N%=%𝜇N𝐹M%
𝑎O%=#P
Q%=%𝜔3𝑅
Universal Gravitation
Universal Gravitational Constant
%𝐺% = %6.7×%10–ZZ%N∙ ]P
^_P%%
%
%𝐹`%=%aIbIP
QP
%%%%%%%𝑈`%=%−aIbIP
Q
Work & Energy
𝑊e%= %𝐹𝐷cos
(
𝜃
)
%%%%%%
%%𝐾%% = Z
3𝑚𝑣3%= mP
3I
𝑊Mno %= %𝛥𝐾%=%𝐾p%–%𝐾q
𝐸% = %𝐾% +%𝑈
𝑊sO %=𝛥𝐸% =%𝐸p%–%𝐸q%=%(𝐾p%+%𝑈p)%–%(𝐾q%+%𝑈q)
𝑈`t"#%= %𝑚𝑔𝑦
Impulse & Momentum
Impulse:
𝑰%=%𝑭"#$𝛥𝑡% = %𝛥𝒑
%%𝑭"#$𝛥𝑡% = %𝛥𝒑% = %𝑚𝒗p%–%𝑚𝒗q
%%𝑭"#$ %=%𝛥𝒑/𝛥𝑡
𝛴𝑭$J)𝛥𝑡%=%𝛥𝑷)y)"z %=%𝑷)y)"z,pqs"z%–%𝑷)y)"z,qsq)q"z%
(
momentum conserved if
%𝛴𝑭$J) %= %0)
𝒙OI%= Ib𝒙b%{%IP𝒙P
Ib%{%IP
Elastic Collisions: Mass
𝒎𝒊
moving with
𝒗𝒊
; Stationary mass
𝑴
𝑣I,p = 𝑣I,q I•€
I{€
𝑣€,p = 𝑣I,q 3I
I{€
Rotational Kinematics
𝜔% =%𝜔,%+%𝛼𝑡%
𝜃 =%𝜃,%+%𝜔,𝑡%+Z
3𝛼𝑡3
𝜔3%=%𝜔,
3%+%2𝛼𝛥𝜃
%
𝛥𝑥o%= %𝑅𝛥𝜃%%%%%%%%%%%%%𝑣o%= %𝑅𝜔%
𝑎o%=%𝑅𝛼
%
(
rolling without slipping
:%𝛥𝑥% = %𝑅𝛥𝜃%%%%%%%𝑣% = %𝑅𝜔%%%%%%𝑎%=%𝑅𝛼%)%
%
1%revolution%=%2π%radians
Rotational Statics & Dynamics
𝜏 = %𝐹𝑟%sin%𝜃
%
𝛴𝜏% = %0%and%𝛴𝐹 = 0%
(static equilibrium)%
𝛴𝜏% = %𝐼𝛼%
%
𝑊% = %𝜏𝜃%%
%
𝑳%=%𝐼𝝎
%%%%%%%
%𝛴𝝉$J)𝛥𝑡%=%𝛥𝑳
%%%%
%
%
%
(angular momentum conserved if
%𝛥𝝉$J) %= %0
) %
𝐾ty)%=Z
3𝐼𝜔3%= “P
3”%%
𝐾)y)"z %=%𝐾)t"sG%+%𝐾ty)%= Z
3𝑚𝑣3%+Z
3𝐼𝜔3
Moments of Inertia (I)
𝐼 = %𝛴𝑚𝑟3%% (for a collection of point particles)%%
𝐼% = 1
2𝑀𝑅3%(solid disk or cylinder)%%%%
𝐼% = 2
5𝑀𝑅3 (solid ball)%%%%
𝐼% = 2
3𝑀𝑅3%(hollow sphere)%%
𝐼% = %𝑀𝑅3%(hoop or hollow cylinder)%%%%%%
𝐼% = 1
12%𝑀𝐿3%(uniform rod about center)
𝐼% = 1
3%𝑀𝐿3%(uniform rod about one end)
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