Answer:
the power developed by the automobile is 7,764.57 W.
Explanation:
Given;
mass of the automobile, m = 2500 kg
initial power developed by the automobile, P₁ = 30 kW = 30,000 W
initial speed of the automobile, v₁ = 90 km/h = 25 m/s
inclination of the hill, θ = 15⁰
second speed of the automobile, v₂ = v₁Sinθ
The power developed by the automobile is calculated as;
P = Fv
[tex]F = \frac{P_1}{V_1} = \frac{P_2}{V_2} \\\\P_2 = \frac{P_1V_2}{V_1} \\\\P_2 = \frac{30,000 \ W \ \times 25Sin(15^0)}{25} \\\\P_2 = 30,000 \ \times sin(15^0)\\\\P_2 = 7,764.57 \ W\\\\[/tex]
Therefore, the power developed by the automobile is 7,764.57 W.
