Final answer:
To find the final velocity of an object initially at rest and subjected to a constant force, calculate the net force, determine the acceleration, and apply the kinematic equation v_f = v_i + at.
Step-by-step explanation:
The given problem involves calculating the final velocity of an object subjected to a constant force over a period of time. This concept falls under the field of kinematics in physics, specifically within the topic of Newton's second law of motion. To find the final velocity, we can use the formula derived from Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass (F = ma).
To solve for the object's final velocity, first calculate the acceleration using the net force and the object's mass. Then apply the kinematic equation v_f = v_i + at to find the final velocity (v_f), where v_i is the initial velocity, a is the acceleration, and t is the time the force is applied.
Calculate the magnitude of the net force using the Pythagorean theorem since the force has both x and y components: F_net = sqrt(F_x^2 + F_y^2).
Calculate the acceleration (a) by dividing the net force by the mass of the object: a = F_net / m.
Finally, calculate the final velocity using the initial velocity (which is zero in the case of the object being initially at rest), the acceleration, and the time interval: v_f = v_i + at.
By following these steps, one can determine the final velocity of the object after the force has been applied for the given time interval.