Kyle has a mass of 54 kg and is jogging at a velocity of [tex]$3 m / s$[/tex]. What is Kyle's kinetic energy? (Formula: [tex]$K E=\frac{1}{2} m v^2$[/tex])
Answer (1)
Substitute the given values of mass and velocity into the kinetic energy formula.
Calculate the square of the velocity: 3 2 = 9 .
Multiply the mass by the square of the velocity and by 2 1 : 2 1 × 54 × 9 = 243 .
Kyle's kinetic energy is 243 J .
Explanation
Understanding the Problem We are given Kyle's mass, which is 54 kg, and his velocity, which is 3 m/s. We are also given the formula for kinetic energy: K E = 2 1 m v 2 . Our goal is to calculate Kyle's kinetic energy.
Substituting the Values Now, we substitute the given values into the formula: K E = 2 1 × 54 × ( 3 ) 2 .
Calculating Kinetic Energy Let's calculate the kinetic energy: K E = 2 1 × 54 × 9 = 27 × 9 = 243 . Therefore, Kyle's kinetic energy is 243 Joules.
Final Answer So, Kyle's kinetic energy is 243 J.
Examples
Kinetic energy is a fundamental concept in physics that helps us understand the energy of moving objects. For example, when designing a car, engineers need to consider the kinetic energy involved in collisions to ensure the safety of the passengers. Similarly, in sports, understanding kinetic energy helps athletes optimize their performance, such as a baseball player hitting a ball or a runner sprinting.
