Only two forces act on an object (mass = 4.20 kg), as in the drawing. (F = 70.0 N.) Find the magnitude and direction (relative to the x axis) of the acceleration of the object.

To find the magnitude and direction of the acceleration of the object, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, there are two forces acting on the object: one with a magnitude of 70.0 N, and the other force is not specified. Let's assume that the second force is in the positive x-direction and has a magnitude of F2, and the acceleration of the object is ax.

According to Newton's second law, the net force is the sum of the individual forces acting on the object:

Net force = F1 + F2

Where F1 is the given force with a magnitude of 70.0 N.
Now, we can write the equation as:

70.0 N + F2 = m * ax

We are given the mass of the object as 4.20 kg, so substituting the values:

70.0 N + F2 = 4.20 kg * ax

Since we want to find the magnitude and direction (relative to the x-axis) of the acceleration, we'll only focus on its magnitude. Therefore, we'll ignore the direction for now.

Now, we need to solve for the acceleration (ax). However, we need the value of F2 to proceed.

If the problem provides additional information about F2 or the angles between the forces and the x-axis, we can calculate F2 using trigonometry. However, if the force F2 is not specified or there are no further details given, we cannot determine the magnitude and direction of the acceleration without this missing information.

Hence, to fully solve the problem, we need the value or details about the second force acting on the object.