Questions: A 63.0-kg sprinter starts a race with an acceleration of 4.2 m / s^2. What is the net external force on him?

Transcript text: A $63.0-\mathrm{kg}$ sprinter starts a race with an acceleration of $4.2 \mathrm{~m} / \mathrm{s}^{\wedge} 2$. What is the net external force on him?

Solution

Solution Steps

Step 1: Identify the Given Values

We are given the mass of the sprinter, $ m = 63.0 \, \text{kg} $, and the acceleration, $ a = 4.2 \, \text{m/s}^2 $.

Step 2: Apply Newton's Second Law

Newton's second law states that the net external force acting on an object is equal to the product of its mass and acceleration. Mathematically, this is expressed as:

\[ F_{\text{net}} = m \cdot a \]

Step 3: Calculate the Net External Force

Substitute the given values into the equation:

\[ F_{\text{net}} = 63.0 \, \text{kg} \times 4.2 \, \text{m/s}^2 \]

Calculate the result:

\[ F_{\text{net}} = 264.6 \, \text{N} \]