The engine of a 1-kg toy plane exerts a 15-N forward force. If the air exerts an 8-N resistive force on the plane, what is the magnitude of the acceleration of the plane?
15N - 8N = 7N net force
F = ma
7 = 1a
2 kg
15N-8N=7N
F=ma
A=F/M
A=7N/1kg
A=7m/s^2
To find the magnitude of acceleration of the plane, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
In this case, the net force acting on the plane is the difference between the forward force exerted by the engine and the resistive force exerted by the air. Given that the forward force is 15 N and the resistive force is 8 N, the net force is:
Net force = Forward force - Resistive force
Net force = 15 N - 8 N
Net force = 7 N
The mass of the toy plane is 1 kg. Hence, substituting the values into the formula for acceleration:
Acceleration = Net force / Mass
Acceleration = 7 N / 1 kg
Acceleration = 7 m/s²
Therefore, the magnitude of the acceleration of the plane is 7 m/s².