Answer:
Kinetic energy, [tex]E=1.15\times 10^6\ J[/tex]
Explanation:
It is given that,
Weight of automobile, W = 7500 N
Speed, v = 55 m/s
Since, W = mg
[tex]m=\dfrac{W}{g}=\dfrac{7500\ N}{9.8\ m/s^2}[/tex]
m = 765.3 kg
Kinetic energy due to the motion of the automobile is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
[tex]E=\dfrac{1}{2}\times 765.3\ kg\times (55\ m/s)^2[/tex]
E = 1157516.25 J
or
[tex]E=1.15\times 10^6\ J[/tex]
So, the kinetic energy of the automobile is [tex]1.15\times 10^6\ J[/tex]. Hence, this is the required solution.
