Chapter 7, Problem 69P

Blocks with different masses are pushed against a spring one at a time, compressing it different amounts. Each is then launched onto an essentially frictionless horizontal surface that then curves upward, still frictionless (like Fig. 7.21 but without the frictional part). The table below shows the masses, spring compressions, and maximum vertical height each block achieves. Determine a quantity that, when you plot h against it, should yield a straight line. Plot the data, determine a best-fit line, and use its slope to determine the spring constant.

Mass m (g)	50.0	85.2	126	50.0	85.2
Compression x (cm)	2.40	3.17	5.40	4.29	1.83
Height h (cm)	10.3	11.2	19.8	35.2	3.81