Question

a 550 kg roller coaster car is moving at a speed of 40 m/s. how much kinetic energy does the roller coaster car have? remember : $e_k = \frac{1}{2}mv^2$ $e_k = ? j$

Explanation:

Step1: Identify given values

Mass \( m = 550 \, \text{kg} \), velocity \( v = 40 \, \text{m/s} \), and the formula for kinetic energy \( E_K=\frac{1}{2}mv^2 \).

Step2: Substitute values into formula

Substitute \( m = 550 \) and \( v = 40 \) into \( E_K=\frac{1}{2}mv^2 \):
\[
E_K=\frac{1}{2}\times550\times(40)^2
\]

Step3: Calculate \( (40)^2 \)

\( (40)^2 = 1600 \)

Step4: Multiply step by step

First, calculate \( \frac{1}{2}\times550 = 275 \). Then multiply by 1600:
\[
E_K = 275\times1600
\]
\[
E_K = 440000
\]

Answer:

440000