Question

Figure shows an object’s acceleration-versus-force graph. What is the object’s mass?

Short answer

mass of object is 25 kg

Step-by-step solution

Step 1.Given Information

here given the graph of object’s which is acceleration-versus-force graph and then from that find out the object’s mass. for that use the Newton`s second law.

Step 2 

Newton second law state that force is directly proportional to acceleration.

$$\begin{gathered} F=ma \\ m=\frac{F}{a}.....\left(1\right) \end{gathered}$$

Step 3 

here use the concept of slop to consider the value of force and acceleration

from slope the force is 50 N and acceleration is 2 m/s²

substitute force and acceleration value in equation (1)

$$\begin{gathered} m=\frac{F}{a} \\ m=\frac{50kgm/s^2}{2m/s^2} \\ m=25kg \end{gathered}$$

Therefor, mass of the object is 25 kg