Hootenanny said:Have you any ideas?
Don't worry bout it, there's nothing wrong with the advice you gave!Shooting star said:When I gave hints to the solution, I didn't notice that this post belonged to Introductory Physics. I should have allowed more time for the OP to come up with his own ideas. Sorry. Won't happen next time.
The tea stays in the cup due to the principle of inertia, which states that an object at rest will remain at rest and an object in motion will remain in motion unless acted upon by an external force. In this case, the external force is the acceleration of the airplane, but the tea still retains its inertia and stays in the cup.
When the airplane accelerates or decelerates, the tea will experience a force in the direction opposite to the acceleration. This force, known as the pseudo force, is responsible for keeping the tea in the cup and preventing it from spilling. The amount of force will depend on the mass of the tea and the magnitude of the acceleration.
Yes, the tea cup will experience changes in weight during the flight due to the changes in acceleration. When the airplane accelerates, the tea cup will feel heavier, and when the airplane decelerates, the tea cup will feel lighter. This is because the force of gravity is acting on the cup and tea, and the pseudo force is adding or subtracting from that force.
The angle of the airplane's trajectory does not affect the tea cup as long as the acceleration remains in the same direction. The tea cup will only experience changes in weight and the pseudo force when the acceleration changes in magnitude or direction.
Yes, there is a limit to how much the airplane can accelerate before the tea spills. This limit is determined by the coefficient of friction between the tea cup and the surface it is resting on, as well as the shape and size of the tea cup. If the acceleration becomes too great, the pseudo force may overcome the frictional force, causing the tea cup to slide and the tea to spill.