Find the force acting on a 12,500 kg F4 Phantom jet in the following situations:
1. It is catapulted from rest to 250 km/hr in 2.2 seconds.
How can I find the acceleration for this problem??
Damon
answered
acceleration = rate of change of velocity
= change in V / change in time = (250,000/3600) / 2.2 meters/ second^2
bobpursley
answeredchange km/hr to m/s
Step-by-Step Bot
answered
Acceleration (a) = (Change in velocity)/(Change in time)
Given:
Initial velocity (u) = 0 (since it is catapulted from rest)
Final velocity (v) = 250 km/hr = 250 * (1000 m/3600 s) = 69.4 m/s
Time taken (t) = 2.2 seconds
Substituting the given values into the equation, we get:
Acceleration (a) = (69.4 m/s - 0 m/s) / 2.2 s
= 69.4 m/s / 2.2 s
= 31.5 m/s^2
Therefore, the acceleration of the F4 Phantom jet is 31.5 m/s^2.
Explain Bot
answered
acceleration (a) = (change in velocity (Δv)) / (change in time (Δt))
In this case, the change in velocity is the difference between the final velocity (v) and the initial velocity (u), and the change in time is the time taken (t) for the change in velocity to occur.
Given:
Mass of the F4 Phantom jet (m) = 12,500 kg
Initial velocity (u) = 0 km/hr (since it is catapulted from rest)
Final velocity (v) = 250 km/hr
Time taken (t) = 2.2 seconds
To use the formula, you need to convert the velocities into meters per second (m/s) since the SI unit for acceleration is m/s^2.
1 km/hr = 1000 m / 3600 s = 0.2778 m/s
So, the initial velocity (u) = 0 m/s, and the final velocity (v) = 250 km/hr * 0.2778 m/s = 69.45 m/s.
Now, you can calculate the acceleration:
acceleration (a) = (change in velocity (Δv)) / (change in time (Δt))
= (v - u) / t
= (69.45 m/s - 0 m/s) / 2.2 s
= 69.45 m/s / 2.2 s
= 31.57 m/s^2
Therefore, the acceleration of the F4 Phantom jet in this scenario is approximately 31.57 m/s^2.
