Study of velocity and kinetic energy, a cart was tested in 9 different trials. The cart carried different masses down 3 different inclinations. Table I shows the mass carried by the cart, the height from which it was released.And that is rolled to get to the end of the ramp. The table also lists the speed and kinetic energy of the cart released the of the ramp.Which of the following relationships between mass and kinetic energy is indicated by the data for Trials 3 and 5
Correct answer: B. Mass is directly proportional to kinetic energy
- A. Mass is inversely proportional to kinetic energy
- B. Mass is directly proportional to kinetic energy
- C. Mass squared is proportional to kinetic energy
- D. Mass is directly proportional to kinetic energy squared
Explanation
The correct answer is that mass is directly proportional to kinetic energy. The relationship between mass and kinetic energy can be derived from the formula for kinetic energy: KE = 0.5 * m * v^2. This indicates that if velocity is constant, kinetic energy is directly proportional to mass. In Trials 3 and 5, if the velocity remains constant or changes proportionally, the data should reflect a direct proportionality between mass and kinetic energy. This is why Option B is correct.Option A is incorrect because an inverse proportionality would mean kinetic energy decreases as mass increases, which is not supported by the data. Option C is incorrect because mass squared would disproportionally increase kinetic energy, which is not shown in the trials. Option D is incorrect because it suggests a much stronger relationship between mass and kinetic energy than is supported by the data.
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About Scientific Reasoning
Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.
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