Final answer:
The rocket will stay on the ground because the gravitational force acting on it is greater than the upward thrust provided by its engines. According to Newton's second law, the rocket will not accelerate upwards as the net force is downward.
Step-by-step explanation:
If a rocket engine is acting on a rocket with an upward force of 250 N while Gravity is acting on it with a downward force of 260 N, the rocket will remain on the ground. This is because the force of gravity exceeds the thrust provided by the rocket's engines, resulting in a net force acting downward.
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this scenario, since the downward force (gravity) is greater than the upward force (thrust), the net force is in the downward direction, meaning the rocket will not accelerate upwards.
It's important to understand that a rocket can only rise if the thrust from its engines is greater than the combined forces of gravity and any other opposing forces, such as air resistance. Therefore, for lift-off to occur, the rocket's engine must provide enough thrust to overcome the gravitational pull.