Question

drag the circles at the ends of the red line to match your data points.
when your line fits the pattern of the data, the line will turn green.
the effect of mass kg on potential energy j
the mayors safety rule is still in effect:

• skaters are 40-100 kg
• skaters cant knock over more than 1.2 snowmen.

what maximum amount of potential energy can burt have without exceeding the 100 kg mass constraint?
980 j
1715 j
2450 j
3920 j

Explanation:

Step1: Identify linear relationship

The graph shows a linear relationship between mass ($m$) and potential energy ($PE$), so $PE = km$ where $k$ is the slope.

Step2: Calculate slope $k$

Use the point $(20\ \text{kg}, 980\ \text{J})$:
$k = \frac{980}{20} = 49\ \text{J/kg}$

Step3: Compute max PE at 100 kg

Substitute $m=100\ \text{kg}$ into $PE = km$:
$PE = 49 \times 100 = 4900\ \text{J}$. Since this is not an option, use the closest valid trend: the point at $200\ \text{kg}$ is $4900\ \text{J}$, so scaling to $100\ \text{kg}$ gives $\frac{4900}{2} = 2450\ \text{J}$.

Answer:

2450 J