Final answer:
The kinetic energy of a 910-kg automobile traveling at 87 km/h is 265,471.45 J, calculated using the kinetic energy formula KE = 1/2 m v^2 with velocity converted to meters per second.
Step-by-step explanation:
The question is asking to calculate the kinetic energy of an automobile. To find the kinetic energy (KE) of the automobile, we use the formula KE = 1/2 m v^2, where m is the mass of the automobile and v is its velocity. It is important to remember that the velocity must be in meters per second (m/s) when using the SI unit system.
First, convert the speed from km/h to m/s: 87 km/h is equivalent to 87 * 1000 m / 3600 s = 24.17 m/s. Then, use the mass of the automobile which is 910 kg. To find the absolute viscosity in centipoise (cp) of an oil with a kinematic viscosity of 380 centistokes and a specific gravity, we can use the formula:
Now calculate the kinetic energy: KE = 1/2 * 910 kg * (24.17 m/s)^2 = 1/2 * 910 kg * 584.19 (m^2/s^2) = 265,471.45 J (joules).
Therefore, the kinetic energy of the 910-kg automobile traveling at 87 km/h is 265,471.45 J.