Final answer:
To determine the motion of the object subjected to a constant force, we calculate acceleration using Newton's second law, then apply kinematic equations for the y-direction with constant speed maintained in the x-direction, resulting in parabolic motion.
Step-by-step explanation:
To determine the motion of an object with a constant net force of <0, -5 N> acting on a 2.0 kg mass that starts from the origin with an initial velocity of <3.6 m/s, 4.8 m/s>, we can employ Newton's second law and kinematic equations. First, we calculate the acceleration in the y-direction as a_y = F_y / m, where F_y is the force in the y-direction and m is the mass of the object. In this case, a_y = -5 N / 2.0 kg = -2.5 m/s2.
Next, we use the kinematic equation for velocity in the y-direction: v_y(t) = v_{y0} + a_y*t, where v_{y0} is the initial velocity in the y-direction, a_y is the acceleration in the y-direction, and t is time. Similarly, we can find the position in the y-direction over time using y(t) = y_0 + v_{y0}*t + 0.5*a_y*t2, with y_0 being the initial position. For the x-direction, since there is no force, the object will move with a constant velocity, so the x position can be found with x(t) = x_0 + v_{x0}*t. By plotting these equations, we can determine the object's motion over a given time.
The path of the object can be determined by plotting y vs. x, which would show its trajectory. Since the force only acts in the y-direction, we expect this trajectory to be a parabola, with the object slowing down, coming to a stop, and reversing direction in the y-axis while moving at a constant speed in the x-axis.