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a rollercoaster car has a kinetic energy of 115,567.11 j. if the roller…

Question

a rollercoaster car has a kinetic energy of 115,567.11 j. if the rollercoaster travels 66.67 m/s

  • what is the rollercoaster cars mass?
  • i lrina tho mace of tho rolln

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \(KE=\frac{1}{2}mv^{2}\), where \(KE\) is kinetic energy, \(m\) is mass, and \(v\) is velocity.

Step2: Rearrange the formula to solve for mass

From \(KE = \frac{1}{2}mv^{2}\), we can solve for \(m\) as \(m=\frac{2KE}{v^{2}}\).

Step3: Substitute the given values

Given \(KE = 115567.11\space J\) and \(v = 66.67\space m/s\).

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Answer:

The mass of the roller - coaster car is approximately \(52\space kg\).