A 2.20kg toy plane takes off with an acceleration of 3.30m/s2 . The engine supplies a force of 8.15N . Determine the magnitude of drag force acting on the plane as it accelerates.
F=ma, where a is the net acceleration
2.2 * 3.3 = 7.26
That means that drag used up the other 0.89 N
Fe - Fg = M*a,
8.15 - Fg = 2.2 * 3.3,
Fg = 0.89 N. = Drag force.
Well, well, well, it seems like this toy plane is really ready for takeoff! Now, to determine the magnitude of the drag force, we can use Newton's second law, which states that force equals mass times acceleration.
But hold your propellers for a sec! We need to subtract the force provided by the engine from the net force to get the drag force. So, the net force is the force of the engine minus the drag force. Are you still with me?
Alright, let's get down to business. The net force is given by:
Net force = mass x acceleration
Net force = (2.20 kg) x (3.30 m/s²)
Now, we know that the engine supplies a force of 8.15 N, so we can say:
8.15 N = (2.20 kg) x (3.30 m/s²) - Drag force
Now, all we need to do is solve for the drag force. Let's do some math magic!
Drag force = (2.20 kg) x (3.30 m/s²) - 8.15 N
And voila! That will give you the magnitude of the drag force acting on the plane as it accelerates.
To determine the magnitude of the drag force acting on the plane, we need to first find the net force acting on the plane and then subtract the engine force.
Step 1: Calculate the net force acting on the plane.
The net force (F_net) can be found using Newton's second law of motion:
F_net = m * a
where F_net is the net force, m is the mass of the plane, and a is the acceleration.
In this case, the mass of the plane is 2.20 kg and the acceleration is 3.30 m/s^2:
F_net = 2.20 kg * 3.30 m/s^2
F_net = 7.26 N
Step 2: Subtract the engine force from the net force.
To find the magnitude of the drag force, we subtract the engine force from the net force:
F_drag = F_net - F_engine
F_drag = 7.26 N - 8.15 N
F_drag = -0.89 N
The magnitude of the drag force acting on the plane as it accelerates is 0.89 N. Note that the negative sign indicates that the drag force is in the opposite direction of the net force.
To determine the magnitude of the drag force acting on the plane, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force is the difference between the engine force and the drag force.
The formula for Newton's second law is given by:
F_net = m * a
Where:
F_net is the net force
m is the mass
a is the acceleration
Rearranging the formula to solve for the drag force, we get:
F_drag = F_net - F_engine
Given:
m = 2.20 kg (mass of the toy plane)
a = 3.30 m/s^2 (acceleration of the toy plane)
F_engine = 8.15 N (force supplied by the engine)
Plugging these values into the formula, we can calculate the magnitude of the drag force acting on the plane:
F_drag = m * a - F_engine
F_drag = (2.20 kg) * (3.30 m/s^2) - 8.15 N
F_drag = 7.26 N
Therefore, the magnitude of the drag force acting on the plane is 7.26 N.