During an episode of turbulence in an airplane you feel 190 N heavier than usual. If your mass is 78 kg, what are the magnitude and direction of the airplane's acceleration?
For the F=ma, I manipulated the equation and have gotten, a=190N/78kg=2.4 is this correct? And how do I solve the other portion of the problem?
190 N/78 kg ----->the 2.4 m/s^2 is correct. It is up if you feel heavier.
you feel heavier, so the acceleration is opposite gravity
oh so the formula would be W=ma, hence, 78kg/190N=W?
Yes, you are correct in using the equation F = ma. To find the magnitude of the airplane's acceleration, divide the force by your mass:
a = F / m = 190 N / 78 kg = 2.44 m/s²
So the magnitude of the airplane's acceleration is approximately 2.44 m/s².
To determine the direction of the airplane's acceleration, you need to analyze the given information. Since you feel 190 N heavier than usual, it means that there is an additional downward force acting on you. This implies that the airplane is accelerating upwards, counteracting the force of gravity.
Therefore, the direction of the airplane's acceleration is opposite to the gravitational force, which is upward.