Find the force acting on a 12,500 kg F4 Phantom jet in the following situations (you will need to find the acceleration first) :
1. It is catapulted from rest to 250 km/hr in 2.2 seconds.
Acceleration: (250/2.2) / 2.2 = 51.6
F = 12,500 * 51.6 = 645 645N
Is my answer correct? I appreciate if someone can help me with this.
No, units problem, km/h must be converted.
250 km/h * 1000 m/km * (1/ 3600) h/s =250/3.6 meters/second
Your calculation for the acceleration is correct: (250 km/hr) / (2.2 s) = 113.64 m/s²
However, the formula you used to calculate the force is incorrect. The correct formula to calculate force is:
Force = mass * acceleration
So the correct calculation would be:
Force = 12,500 kg * 113.64 m/s² = 1,420,500 N
Therefore, the force acting on the 12,500 kg F4 Phantom jet when it is catapulted from rest to 250 km/hr in 2.2 seconds is approximately 1,420,500 Newtons.
Please note that for simplicity, I have not considered any external factors such as air resistance or friction in this calculation.
Yes, your answer is correct! You have correctly calculated the acceleration of the F4 Phantom jet using the formula acceleration = (change in velocity) / (change in time). In this case, the change in velocity is 250 km/hr and the change in time is 2.2 seconds.
Next, you have multiplied the mass of the jet (12,500 kg) by the calculated acceleration (51.6 m/s^2) to find the force acting on the jet. This is done using the formula force = mass * acceleration.
Therefore, the force acting on the F4 Phantom jet is 645,645 Newtons.