To find the acceleration of the object, we can use Newton's second law of motion:

F = ma

where F is the net force acting on the object, m is the mass of the object, and a is the acceleration.

Given:
m = 5 kg
F1 = 10 N
F2 = 5 N

The net force acting on the object is the sum of F1 and F2:
F = F1 + F2
F = 10 N + 5 N
F = 15 N

Now we can plug in the values to find the acceleration:
15 N = 5 kg * a

Solving for a:
a = 15 N / 5 kg
a = 3 m/s^2

Therefore, the acceleration of the object is 3 m/s^2.