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An electric car is being driven through a town at 22m/s . The kinetic energy of the car is 222640 J. Calculate th e mass of the car. Enter a number

Question

An electric car is being driven through a
town at 22m/s . The kinetic energy of
the car is 222640 J. Calculate th e mass
of the car.
Enter a number

An electric car is being driven through a town at 22m/s . The kinetic energy of the car is 222640 J. Calculate th e mass of the car. Enter a number

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MitchellProfessional · Tutor for 6 years

Answer

By plugging in the car's known kinetic energy and speed into the equation above:<br /><br />### \( \text{Mass} = \frac{2 \times 222,640 \text{ J}}{(22 \text{ m/s})^2} \)<br /><br />This should allow us to solve for the car's mass accurately.

Explain

## Step1: <br />This is a physics problem focusing on one of the principles of classical mechanics - kinetic energy. The kinetic energy (Ek) of an object can be calculated using the formula: <br /><br />### \( \text{Kinetic energy} = \frac{1}{2} \times (\text{mass}) \times (\text{speed})^2 \)<br /><br />Where "mass" represents the mass of the object (which we’re trying to find in this case) and "speed" represents its velocity -- 22 m/s in this case. We know the car's kinetic energy (222,640 Joules), so we can plug that into the formula and solve for mass.<br /><br />## Step2: <br />After rearranging the equation by algebra, it will look as follows: <br /><br />### \( \text{Mass} = \frac{2 \times \text{kinetic energy}}{\text{speed}^2} \)
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