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
Answer
3.8
(392 Votes)
Mitchell
Professional · Tutor for 6 years
Answer
By plugging in the car's known kinetic energy and speed into the equation above:### \( \text{Mass} = \frac{2 \times 222,640 \text{ J}}{(22 \text{ m/s})^2} \)This should allow us to solve for the car's mass accurately.
Explanation
## Step1: 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: ### \( \text{Kinetic energy} = \frac{1}{2} \times (\text{mass}) \times (\text{speed})^2 \)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.## Step2: After rearranging the equation by algebra, it will look as follows: ###