13) If the roller coaster car in question 12 were moving with twice the speed, then what would be its new kinetic energy?
Question
- If the roller coaster car in question 12 were moving with twice the speed, then what would be its new kinetic energy?
Solution
To answer this question, we first need to understand the formula for kinetic energy, which is KE = 1/2 mv^2, where m is the mass and v is the velocity (or speed).
The question states that the speed of the roller coaster car is doubled. Let's say the initial speed is v. The new speed is 2v.
We substitute these values into the kinetic energy formula:
Initial kinetic energy = 1/2 m(v^2) New kinetic energy = 1/2 m(2v)^2
Solving the new kinetic energy equation gives us:
New kinetic energy = 1/2 m(4v^2) = 2(1/2 mv^2)
So, the new kinetic energy is twice the initial kinetic energy.
Therefore, if the speed of the roller coaster car is doubled, its kinetic energy will quadruple.
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