1. Understand the Concepts
* Newton's Second Law: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this is represented as: F = ma, where:
* F = Force (Newtons)
* m = Mass (kilograms)
* a = Acceleration (meters per second squared)
2. Apply the Formula
We know the following:
* Force (F) = 250 N
* Mass (m) = 70 kg
We need to find the acceleration (a). Rearranging Newton's Second Law to solve for acceleration, we get:
a = F / m
3. Calculate the Acceleration
Substitute the values into the equation:
a = 250 N / 70 kg
a ≈ 3.57 m/s²
Answer: The swimmer will accelerate away from the wall at a rate of approximately 3.57 meters per second squared.