Physics

Problem

In a graph where kinetic energy

K

(J) is plotted on the

y

-axis and the square of speed

v^{2}

^{2}

^{-2}

) on the

x

-axis for a body: (i) What type of line is expected? (ii) How will the slope of this line change if the mass of the body is doubled?

Intuitive explanation

Kinetic energy has a linear relationship with $v^2$ because $K = \frac{1}{2}mv^2$ —when you rearrange this as $K = \frac{1}{2}m \cdot v^2$ , you see it's a straight line through the origin with slope $\frac{1}{2}m$ . Doubling the mass doubles the slope, making the line steeper while keeping the same linear shape.

Intuitive explanation

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