Final answer:
The mass of the Westland Lynx helicopter, when it has a kinetic energy of 2.0 X 10⁷ J at a speed of 111.1 m/s, is calculated to be approximately 3240 kg.
Step-by-step explanation:
The student is asking about calculating the mass of the fastest helicopter, a Westland Lynx, based on its kinetic energy and top speed.
To find the helicopter’s mass, we can rearrange the equation for kinetic energy (KE = ½ mv²), solving for m (mass), and then insert the given values for kinetic energy (2.0 X 10⁷ J) and speed (111.1 m/s).
Using the rearranged equation m = 2KE / v²:
m = 2(2.0 X 10⁷ J) / (111.1 m/s)²
m = 4.0 X 10⁷ J / 12345.21 m²/s²
m ≈ 3240 kg
Therefore, the mass of the helicopter is approximately 3240 kg