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.What kinetic energy would be calculated if the cart had carried 8 kg and had been released from a height of 16m in Ramp 1?

Correct answer: B. 640 joules

  • A. 400 joules
  • B. 640 joules
  • C. 960 joules
  • D. 1,280 joules

Explanation

The correct answer is Option B: 640 joules. Kinetic energy is calculated using the formula 1/2 * mass * velocity^2. In this question, the cart carried 8 kg and was released from a height of 16m in Ramp 1. By considering these values, the correct kinetic energy calculation is 1/2 * 8 * (sqrt(2 * 9.81 * 16)) = 640 joules. The other options either use incorrect values or calculations, leading to inaccurate results.

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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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