Calculating Force of Gravity from Speed vs. Time Graph

We can determine the force of gravity exerted on the object using the relationship between force, mass, and acceleration. Since the object is falling freely, its acceleration is due to gravity and is constant at 9.8 m/s^2. We can use the formula:

force = mass x acceleration

The object's mass is given as 10 kg. To find the acceleration at any given time, we can use the slope of the speed vs. time graph. The slope of a graph represents the rate of change of the dependent variable (speed in this case) with respect to the independent variable (time). Therefore, the slope of the graph at any point represents the acceleration at that point.

From the graph, we see that the slope is constant at 21/6 m/s^2. Therefore, the force due to gravity at that point is:

force = mass x acceleration force = 10 kg x (21/6 m/s^2) force = 35 N

Therefore, the force of gravity exerted on the object is most nearly 35 N.