To determine the relationship between kinetic energy and mass at a constant velocity, we can use the formula for kinetic energy (KE):
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its velocity. In this case, the velocity is constant at 1 m/s, so the formula simplifies to:
\[ KE = \frac{1}{2}m(1)^2 = \frac{1}{2}m \]
This shows that kinetic energy is directly proportional to mass. Therefore, if we plot mass on the x-axis and kinetic energy on the y-axis, we get a straight line that slants upwards, indicating that as mass increases, the kinetic energy also increases.
Given the data in the table:
- For Object A: \( 2, \text{kg} \rightarrow 1, \text{J} \)
- For Object B: \( 4, \text{kg} \rightarrow 2, \text{J} \)
- For Object C: \( 6, \text{kg} \rightarrow 3, \text{J} \)
- For Object D: \( 8, \text{kg} \rightarrow 4, \text{J} \)
The kinetic energies also follow a linear pattern where:
- Mass 2 kg corresponds to 1 J
- Mass 4 kg corresponds to 2 J
- Mass 6 kg corresponds to 3 J
- Mass 8 kg corresponds to 4 J
Thus, when graphed, it will produce a straight line slanting upwards.
The answer is: It looks like a straight line slanting upwards.
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