1. Kinematics and Dynamics EQUATIONS

Question 1

(1) (Equation) What is the equation of kinetic friction?

Answer 1

f_k= μ_k * N

f_k= kinetic friction
μ_k= coefficient of kinetic friction
N= normal force

Normal force= m*g or n= mass x gravity

Question 2

(1) (Equation) What is the equation for the force of gravity (or weight)?

Answer 2

F_g= mg

F_g= weight of the object
m= mass of object
g= acceleration due to gravity, 9.8 m/s² which is usually rounded to 10 m/s²

Key concept: The center of mass of a uniform object is at the geometric center of the object (like a ball). However, keep in mind that most objects are not uniform (i.e. human, tennis racket, TV)

Question 3

(1) (Equation) What is the equation of average acceleration?

Answer 3

Question 4

(Equation) what is newton’s first law of inertia?

Answer 4

states that an object will remain at rest or move with a constant velocity if there is no net force on the object.

F_net=ma=0

F_net= the net force
m= the mass
a= acceleration

Question 5

(1) (Equation) what is Newtons’ second law of acceleration?

Answer 5

States that any acceleration is the result of the sum of the forces acting on the object and its mass. In other words, an object of mass m will accelerate when the vector sum of the forces results in some non-zero resultant force vector

F_net=ma

F_net= the net force
m= the mass
a= acceleration

Question 6

(1) (Equation) What is Newton’s third law of acceleration?

Answer 6

Newton’s third law states that any two objects interacting with one another experience equal and opposite forces as a result of their interaction. In other words, to every action, there is always an opposed but equal reaction

F_AB= -F_BA

Question 7

(1) (Equation) What is the equation used to find position from velocity?

To find maximum height when something is thrown (no time):

Answer 7

v= final velocity (may be 0)
v_o= is the initial velocity
a= acceleration due to gravity, 9.8 m/s^2 which is usually rounded to 10 m/s^2
y= distance

Question 8

(1) (Equation) in inclined plane equations, what is the force that is parallel to the ramp?

What is the force that is perpendicular to the ramp?

Answer 8

F_g∥=mg sin⁡θ (force parallel to the ramp)
F_g⊥=mg cos⁡θ (force perpendicular to the ramp)

F_g∥= the component of gravity parallel to the plane (oriented down
F_g⊥= component of gravity perpendicular to the plane
m= mass
g= acceleration due to gravity (9.8 m/s^2)
θ= angle of the incline

Question 9

(1) (Equation) What is the equation of circular motion, or centripetal force?

Answer 9

F_c= magnitude of centripetal force
m= mass
v= speed
r= radius of the circular path

Question 10

(1) (Equation) What is the gravitational force equation?

Or the gravitational force between two objects

Answer 10

It’s important to note that if one of the masses is triple, then the gravitational force will triple. If the distance changes, the force will change as an exponent of that distance change.