Given:
The combined mass is
![m=550.0\text{ kg}](https://img.qammunity.org/2023/formulas/physics/college/yf1b0mc5r0zyz5dpumxvraru21gwczt62d.png)
The speed is
![v=15.98\text{ m/s}](https://img.qammunity.org/2023/formulas/physics/college/l73quzv87xq2fy4ggc27llytbj9jn5vqig.png)
Required: find the kinetic energy.
Step-by-step explanation:
To find the kinetic energy we will use the formula that is given as
![K.E=(1)/(2)mv^2](https://img.qammunity.org/2023/formulas/physics/college/7erzsxflaj1jjdx5ca1ooyd0wo646oef67.png)
Here,
![m](https://img.qammunity.org/2023/formulas/mathematics/high-school/t24zzfq7ozzvf1kotrtyeguenqnn3otq30.png)
is the mass and
![v](https://img.qammunity.org/2023/formulas/physics/high-school/faqmdntanxdmf65i47bjb2n7pob7e5yslf.png)
is the speed.
Plugging all the values in the above relation, we get
![\begin{gathered} K.E=(1)/(2)mv^2 \\ K.E=(1)/(2)*550.0\text{ kg}*(15.98\text{ m/s})^2 \\ K.E=0.5*550.0\text{ kg}*255.36\text{ }(\text{m/s}^)^2 \\ K.E=70224.11\text{ J} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/yagmljf5mg6lnkkrr4xtewv8zc7y3uphgq.png)
Thus, the kinetic energy is 70224.11 J.