A car has a kinetic energy of 4.32 * 10^5 J when traveling at a speed of 23 m/s. What is its mass?
Sorry for re-post and if anyone decides to help please step by step.
4.32 • 10^5 = 0.5(m)(23)^2
m=1633 kg or 1600 for significant figures
To find the mass of the car, we can use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given that the kinetic energy (KE) of the car is 4.32 * 10^5 J and the velocity (v) is 23 m/s, we can plug these values into the equation and solve for the mass. Let's break down the steps:
Step 1: Rearrange the formula to solve for mass:
KE = (1/2) * mass * velocity^2
2 * KE = mass * velocity^2
mass = (2 * KE) / velocity^2
Step 2: Substitute the given values into the equation:
mass = (2 * 4.32 * 10^5 J) / (23 m/s)^2
Step 3: Calculate the mass:
mass = (2 * 4.32 * 10^5 J) / (23 m/s * 23 m/s)
mass = (2 * 4.32 * 10^5 J) / (529 m^2/s^2)
mass = (8.64 * 10^5 J) / (529 m^2/s^2)
mass = 1.63 * 10^3 kg
Therefore, the mass of the car is approximately 1.63 * 10^3 kg.
Thanks a lot, I figured out the answer.
(1/2) m v^2 = KE
so
m = 2 KE / v^2