Chapter 3, Problem 26P

** Matt is wearing Rollerblades. Beth pushes him along a hallway with a large spring, keeping the spring compressed and consequently the force that the spring exerts on Matt constant at all times They conduct several experiments in which Matt starts from rest and travels 12.0 m while carrying objects of different mass in his backpack, recording the time interval for each trip. Their data are shown in the table at right

Added mass (kg)	Time interval(s)
0	19.0
3.0	19.4
6.0	19.9
9.0	20.3
12.0	20.8
15.0	21.2

(a) Draw a force diagram for Matt and use it to explain why he is moving with a constant acceleration (b) Two physical quantities that are not listed in the table also affect Matt's motion Determine these two quantities using the data above (Hint: This problem requires linearization. See Example 3.8for help.)