Final answer:
The force that accelerates the cup is the force of friction between the cup and the tray table. The force that accelerates the cup along with the accelerating airplane is friction between the cup and the tray table, as described by Newton's first law of motion.
Step-by-step explanation:
The force that accelerates the cup is the force of friction between the cup and the tray table. When the airplane accelerates forward, the cup tends to stay at rest due to its inertia. However, the friction between the cup and the tray table opposes the cup's tendency to stay at rest and causes it to accelerate forward along with the airplane.
This can be explained using Newton's first law of motion, which states that an object at rest will stay at rest, and an object in motion will stay in motion with the same speed and in the same direction, unless acted upon by unbalanced forces.
In this case, the force of friction acts as an unbalanced force and causes the cup to accelerate along with the airplane.
The force that accelerates the cup along with the accelerating airplane is friction between the cup and the tray table, as described by Newton's first law of motion.
The force that accelerates the cup of coffee on the tray table in an airplane as it accelerates forward is the force of friction between the cup and the tray table. According to Newton's first law of motion, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. Thus, when the airplane accelerates, the cup would stay in place due to inertia if it were not for the frictional force acting on it. This frictional force is what accelerates the cup along with the airplane without slipping.