A2 kg mass is free falling in the negative y direction when a 10 n force is exerted in the minus x direction. what is the acceleration of the mass?

The mass's acceleration is 5 m/s^2 in the minus X direction and 9,8 m/s^2 in the minus Y direction.

Explanation:

By applying the second Newton's law in the X and Y direction we found that in the minus X direction an external force of 10 N is exerted, while in the minus Y direction the gravity acceleration is acting:

X-direction balance force:

Y-direction balance force:

Where ax and ay are the components of the respective acceleration and m is the mass. By solving for each acceleration:

Note that for the second equation above the mass is cancelled and, the Y direction acceleration is minus the gravity acceleration:

For the x component aceleration we must replace the Newton unit: