Question

Figure shows an acceleration-versus-force graph for a 500 g object. What acceleration values go in the blanks on the vertical scale?

Short answer

acceleration are

(a) 4 m/s²

(b) 2 m/s²

Step-by-step solution

Step 1.Given information

in question given the graph which shows an acceleration-versus-force graph for a 500 g object and then define the value of the acceleration in vertical scale using the Newton second law.

Step 2 

Newton second Law state that rate of change of momentum is directly proportional to force.

$$\begin{gathered} F\alpha \frac{d\overrightarrow{p}}{dt} \\ F=m\frac{dv}{dt} \\ F=ma \\ a=\frac{F}{m}........\left(1\right) \end{gathered}$$

Step 3

(a)

Consider the first condition where mass is 500 g means 0.5kg and force is 2 N

Substitute the above value in equation (1)

$$\begin{gathered} a_1=\frac{F_1}{m} \\ {a}_1=\frac{2N}{0.5kg} \\ {a}_1=4m/s^2 \end{gathered}$$

step 4

(b)

Consider the first condition where mass is 500 g means 0.5kg and force is 1 N

Substitute the above value in equation (1)

$$\begin{gathered} a_2=\frac{F_2}{m} \\ {a}_2=\frac{1N}{0.5kg} \\ {a}_2=2m/s^2 \end{gathered}$$