1. Find the Net Force
* Since the forces act at right angles, we can use the Pythagorean theorem to find the resultant force (the net force).
* Net Force (F) = √(3² + 4²) = √(9 + 16) = √25 = 5 Newtons
2. Apply Newton's Second Law
* Newton's Second Law of Motion states: Force (F) = Mass (m) * Acceleration (a)
* We know the net force (F = 5 N) and the mass (m = 2 kg), so we can solve for acceleration (a).
3. Calculate Acceleration
* Rearranging the equation: a = F/m
* a = 5 N / 2 kg = 2.5 m/s²
Therefore, the acceleration of the block is 2.5 m/s².