Yes, if an object has a force applied to it, the object must accelerate in the direction of the force. This observation is explained by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be expressed as:
F = ma
Where:
F is the net force acting on the object,
m is the mass of the object,
a is the acceleration of the object.
From this equation, we can see that if a force (F) is applied to an object with mass (m), it will result in an acceleration (a) in the same direction as the force, provided no other opposing forces are present.
According to Newton's second law, the magnitude of the acceleration is directly proportional to the magnitude of the applied force. Therefore, the greater the force applied to an object, the greater the acceleration in the direction of the force.