1. Suppose you recorded the following data during a study of the
relationship of force and acceleration. Prepare a graph showing
these data.
a. Describe the relationship between force and
acceleration as shown by the graph.
Acceleration is directly proportional to force
b. What is the slope of the graph?
y 40  10 30 kg×m/s

= 1.57 kg

slope 
2
19 m/s
x 25  6
2
c. What physical quantity does the slope represent?
The slope represents the mass.
d. Write an equation for the line.
This is the general equation of a line: y = kx + b
This is the PHYSICS equation of the line (just
substitute the variables on y- axis and x-axis
F = ma + 0
e. What is the value of the force for an acceleration of
15 m/s2?
F = ma + 0
= (1.57 kg) (15 m/s2)
= 24 N
f. What is the acceleration when the force is 50.0 N?
F =ma + 0
F 50 kg  m/s2
a 
 31.8 m/s 2
1.57 kg
m