Question

A car has a kinetic energy of 4.32 x 10J when traveling at a speed of 23 m/s. What is its mass?

Answer 1

Answer

0.163 kg

Explanation:

$\sf Kinetic \ Energy = \dfrac{1}{2} \ x \ mass \ x \ velocity^2$

Here we are provided with:

1) Kinetic Energy = 4.32 x 10 Joules ≈ 43.2 Joules

2) Speed/Velocity = 23 m/s

Now, solve for mass:

$\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ velocity^2 = Kinetic \ Energy$

$\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ (23)^2 =43.2$

$\rightarrow \sf mass= \dfrac{43.2 (2)}{23^2}$

$\rightarrow \sf mass= 0.163 \ kg$