Physics 2a Formula Sheet
ADVERTISEMENT
1
2Formula Sheet
Cascarano
Physics 2A
Math Stuff
Constants
2
�� ⃗ ∙ �� ⃗⃗ = |�� ⃗ ||�� ⃗⃗ | cos ��
Scalar Product
Acceleration of gravity
g = 9.80 m/s
-11
2
2
�� ⃗ × �� ⃗⃗ = |�� ⃗ ||�� ⃗⃗ | sin ��
Vector Product
Universal gravitation
G = 6.67x10
Nm
/kg
24
��
= 5.97��10
����
Quadratic formula
2
Mass of Earth
−�� ± √��
− 4����
��
�� =
6
2
��
= 6.38��10
��
(ax
+bx+c=0)
Radius of Earth
2��
��
Kinematics
Trig Identities
Newton’s Laws / Friction / Circular motion
��
= ��
+ ��
��
nd
∆�� ⃗
Law of cosines:
2
Law
∑ �� ⃗ = ���� ⃗ =
��
����
��
∆��
1
����
��
2
2
2
2
��
= ��
+ ��
− 2���� cos ��
Gravitation
�� = ��
+ ��
�� +
��
��
1
2
��
����
��
�� =
2
2
��
2
2
( �� − ��
)
��
= ��
+ 2��
��
≤ ��
��
Law of sines:
Static friction
��
����
��
��
��
��
��
+ ��
��
��
��
Kinetic friction
��
= ��
��
����
��
��
��
�� − ��
= (
) ��
=
=
��
sin ��
sin ��
sin ��
2
2
Centripetal acceleration
��
b
��
=
a
����
Velocity Addition
��
�� ⃗
= �� ⃗
+ �� ⃗
c
����
����
����
Work & Power
Energy
1
�� = ������������
Work by constant force
Kinetic energy
2
�� =
����
2
1
������
Work done by a spring
2
Gravitational potential
��
=
����
��
����
��
= ������ = −
2
��
energy
��
1
��
= −∆��
2
Conservative forces
Spring potential energy
��
=
����
��
����
2
��
= ∆��
�� = ����
Non-conservative forces
Hooke’s Law (spring force)
����
��������
��
= ∆��
Power
Work-Energy Theorem
����������
�� =
��������
Impulse and Momentum
Center of Mass
∑ ��
��
�� ⃗ = ���� ⃗
Linear
Center of mass
��
��
��
��
=
����
momentum
∑ ��
(point objects)
��
��
�� ⃗ = �� ⃗
Impulse
∆��
������
�� ⃗ = ∆�� ⃗
�� ⃗
= ��
�� ⃗
Impulse -
����������
����������
����
momentum
Total momentum
∑ �� ⃗
= ��
�� ⃗
������
����������
����
Rotational Kinematics
Linear / Angular
Rotational Inertia and Energy
2
�� = ∑ ��
�� = ��
+ ����
�� = ����
��
Rotational inertia
��
��
��
��
( �� ���� �������������� )
(point objects)
1
��
= ����
2
�� = ��
+ ��
�� +
����
��
��
��
2
2
2
2
+ 2�� ( �� − ��
)
��
= ����
��
= ��
+ ����
��
= ��
Parallel axis theorem
��
��
����
��
��
��
+ ��
2
1
��
Rotational kinetic energy
2
�� =
����
��
�� − ��
= (
) ��
2
��
=
= ����
2
��
2
����
��
Torque and Angular Momentum
Rotational Motion
nd
�� ⃗ = �� ⃗ × �� ⃗ = ����������∅ = ��
���� ⃗⃗
Torque
Newton’s 2
law
��
∑ �� ⃗ = ���� ⃗ =
⊥
����
�� ⃗⃗ = �� ⃗ × �� ⃗ = ������
�� = ��∆�� = ∆��
Angular
Work
= ���� ⃗ ⃗ ⃗
������
⊥
momentum
�� = ����
Power
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education