calculate the acceleration of a 2000kg single -engine airplane just before takeoff when the thrust of
the airplane ia 500N Using the G.U.E.S.S. method
To calculate the acceleration of the airplane, we can use the G.U.E.S.S. method, which stands for Given, Unknown, Equation, Substitute, and Solve.
Given:
- Mass of the airplane (m) = 2000 kg
- Thrust of the airplane (T) = 500 N
Unknown:
- Acceleration of the airplane (a)
Equation:
The equation that relates force, mass, and acceleration is Newton's second law of motion: F = ma
Substitute:
In this case, the force (F) is equal to the thrust of the airplane, which is given as 500 N, and the mass (m) is given as 2000 kg. We can substitute these values into the equation: T = ma
Solve:
Rearranging the equation to solve for acceleration, we get: a = T/m
Now, let's substitute the known values to find the acceleration:
a = 500 N / 2000 kg
Calculating this expression, we find:
a = 0.25 m/s^2
Therefore, the acceleration of the 2000 kg single-engine airplane just before takeoff, given a thrust of 500N, is 0.25 m/s^2.