# mcat math kinetics and dynamics

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1. force
• pushing or pulling on objects
• the forces can exist between those not touching
2. gravity
attractive force that is felt by all forms of matter
3. all objects exert gravitational forces on each other
4. two types of force
• gravity
• friction
5. friction force
• type of force that opposes the movement of objects
• it may cause an object to go slow or stationary
6. 2 types of friction
• static
• kinetic
7. static friction
• between a stationary object and the surface upon which it rests
• the coefficient is dependent on 2 materials
8. normal force
component of the force between two objects in contact that is perp to the plane of contact between the object and surface upon which it rests
9. kinetic friction
• exists between a sliding object and the surface over which the object slides
• anytime two objects slide across each other, kinetic friction will be present
10. 2 differences between static and kinetic friction equations
• KF has an equal sign meaning it will have a constant value given any combo of KF and NF
• two equations have a diff coefficient, Us is bigger than Uk, so SF will be greater and will stick before they move
11. mass
measure of the body's inertia (amount of matter in an object)
12. Newton's 3 Laws
• a body at rest or in motion at a constant velocity will continue until a force acts upon it (law of inertia)
• no acceleration will occur when the sum of the forces results in the cancellation of those forces
13. linear motion
objects velocity and accel are along the line of motion
14. air resistance opposes the motion of the object, so an object falling will experience drag force as the velocity increases
the drag force will=the mag to the weight of the object and will fall with constant velocity (terminal velocity)
15. uniform circular motion
instant velocity vector is always tangent to the circular path, meaning, the object tends to break out of its pathway and move in a linear direction but is kept from doing this due to centripetal force. once CF is no longer acting on the object, the object will exit the pathway and assume a tangible path from the circle
16. force and acceleration are vectors and accel is always the same direction as the net force
17. dynamics
study of forces and torque
18. translational equilibrium (first condition of equilibrium)
exists when only the vector sum of all of the forces acting on an object is zero
19. if no accel, there is no net force, but just because the force is 0 does not mean the velocity is
20. rotational motion
• forces are applied against an object i such a way as to cause the object to rotate around a fixed pivot point (fulcrum)
• is generated by torque not force itself
21. moment of force
appliced force at some distance from the fulcrum that generates torque
22. rotational equilibrium (second condition of equilibrium)
vector of sum of all torques acting on an object is 0
23. the mcat takes rotational equil to mean the object is not rotating at all
24. KE objects that have mass move with some speed
• faster they move, the more KE they have
• it is relation to speed not velocity, so
25. PE
energy associated with a given objects position in space or other qualities of the system
26. gravitational potential energy
depends on the objects in space with respect to some level known as ground
27. the first law of thermodynamics
energy is neither created not destroyed
28. total mechanical energy accounts for potential and kinetic only
• unless friction force is present, the energy can be given off in heat and dissapate from a system
• if no nonconservative forces are present, thats when KE and PE are constant
29. conservative forces
those that are path independent and that do not dissipate energy
30. work energy theorem
• expression of the relationship between work an E
• and can be applied to changes in other forms of E
31. simple machines