To determine the acceleration of the block, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The net force on the block can be found by summing up the individual forces acting on it. In this case, we have two forces:
Force 1 = 5 N Force 2 = 10 N
The net force (F_net) is the vector sum of these forces:
F_net = Force 1 + Force 2 = 5 N + 10 N = 15 N
Next, we can use Newton's second law to calculate the acceleration (a):
F_net = m * a
where m is the mass of the block. In this case, the mass (m) is given as 2 kg. Plugging in the values:
15 N = 2 kg * a
Solving for a:
a = 15 N / 2 kg a ≈ 7.5 m/s²
Therefore, the acceleration of the block would be approximately 7.5 m/s².