A certain airplane has a cruising speed of 240 m/s and a body mass of 60,000 kg. If the wind resistance produces a backwards force of 240,000 N while the airplane is cruising at constant speed, how much power must the engines produce to keep the airplane moving forward?A.4.8 × 102 WB.1.0 × 103 WC.1.4 × 107 WD.5.8 × 107 W
Question
A certain airplane has a cruising speed of 240 m/s and a body mass of 60,000 kg. If the wind resistance produces a backwards force of 240,000 N while the airplane is cruising at constant speed, how much power must the engines produce to keep the airplane moving forward?A.4.8 × 102 WB.1.0 × 103 WC.1.4 × 107 WD.5.8 × 107 W
Solution
The power required to keep the airplane moving forward can be calculated using the formula for power, which is:
Power = Force x Velocity
Given that the force (due to wind resistance) is 240,000 N and the velocity (cruising speed) is 240 m/s, we can substitute these values into the formula:
Power = 240,000 N x 240 m/s = 57,600,000 W
Therefore, the engines must produce 57,600,000 W of power to keep the airplane moving forward.
So, the correct answer is D. 5.8 × 10^7 W.
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