Question

the graph shows the momentum of an object as a function of its speed. determine the slope of the line and indicate the units on the slope.
slope:
units:

Explanation:

Step1: Select two points

Let's take two points from the line, say (5, 25) and (10, 50).

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $y$ - axis is momentum and $x$ - axis is speed. So $m=\frac{50 - 25}{10 - 5}=\frac{25}{5}=5$.

Step3: Determine units

The units of the numerator (momentum) is $\text{kg}\cdot\text{m/s}$ and the units of the denominator (speed) is $\text{m/s}$. So the units of the slope are $\frac{\text{kg}\cdot\text{m/s}}{\text{m/s}}=\text{kg}$.

Answer:

Slope: 5
Units: kg