Question

A car travelling at a speed of 60 m/s has 5040000 J of kinetic energy. Determine the mass of the car

Answer 1

Answer on Question 63498, Physics, Mechanics

Question:

A car travelling at a speed of $60\ m/s$ has $5040000\ J$ of kinetic energy. Determine the mass of the car.

Solution:

By the definition of the kinetic energy we have:

$$KE = \frac{1}{2} m v^2,$$

here, $v$ is the speed of the car, $m$ is the mass of the car.

From this formula we can find the mass of the car:

$$m = \frac{2KE}{v^2} = \frac{2 \cdot 5040000\ J}{\left(60\ \frac{m}{s}\right)^2} = 2800\ kg.$$

Answer:

$$m = 2800\ kg.$$

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