# AP Physics Chapter 4: Motion and Force: Dynamics

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```					AP Physics Chapter 4: Motion and Force: Dynamics

Overview
Dynamics is the study of the _____________ of motion. Motion can be explained by using one or more
of Newton’s Laws of Motion. The first law, sometimes referred to as the Law of Inertia, explains
_________ a change in motion will occur. The second law, simply called the Second Law of Motion,
explains how acceleration relates to the sum of the ___________ acting on the object and the
_________of the object the forces act upon. The third law, known as the Law of Action/Reaction, helps
to define which particular __________ cause the motion, but can be the source of confusion if not
correctly applied. In this chapter, the concepts of mass and weight are introduced and vector addition
becomes the main tool in problem solving. The student will also be introduced to the “FBD” (force/free
body diagram) which will be required for each problem and learn to solve problems in kinematics using
dynamics.

Problems To Be Mastered (Try them / Review Them / DO THEM AGAIN
For each problem a FBD must be shown along with derivations of the equations using Newton’s
Second Law.
Force/Weight: 2,4,5,6
Newton’s 2nd Law (General): 8,9,11
Newton’s 2nd Law I (vertical): 13,14.15,16,19,20
Newton’s 2nd Law II (horiz/inclines):27 ,28,48,49,51,53
Newton’s 2nd Law III (friction): 39,41,42,44,46,47,
Newton’s 2nd Law IV (two-body): 23,26,30,31,33,35,36
2) 116 kg                    4) 1.26 x 103 N
5) 6.5 x 102 N,      1.1 x 102 N,           2.4 x 102 N.   0N

6)     196 N, 196 N, 294 N, 98.0 N
8) 153 N                    9) > 1.5 Kg                    11     2.1 x 102 N

13) -3.5 m/s2 down 14) 5.0 x 104 N                   15)    > 2.2 m/s2 down
16) -2.5 m/s2 down 19) 2.2 m/s2             18 m/s     t= 93 s

20) 3.2 x 103 N down
27) 19.0 N, 57.5 below -x axis, .702 m/s2 57.5 below -x axis
14.0 N, 51 above + x axis     .519 m/s2 51 above + x axis

28)    62.2 N, 204 N, 100 N         48)    Bonnie’s               49)   k   .40
51)    t=1.8 s, No change 53)       1.2 m up and 1.6 s.

39)    s = .82       k =.74       41) s = .41                  42)     2.3
44)    4.1 m         46) 47 m 2.8 x 102 m                         47) -7.4 m/s2

23) 40N, 10 N, 0 N   26) diagrams          30) 29 N , 58 N, 34N, 68 N
31) 8.01 x 104 m            33) 1.25 x 104 m              35) see me         36) 3.93 M

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