Question

A player (player 1) with a mass of 250 lbs, is running with a speed of 3 m/s. Another player ( player 2) is running along him, with a mass of 314 lbs, with a speed of 4.5 m/s. What are the kinetic energies ( player 1 and 2 respectively )?

Answer 1

In order to find the kinetic energy of both the players, we first need to convert their mass from pounds to kilograms since the conventional standard unit for mass in physics is kilogram.

To do this conversion, we can use the fact that 1 pound is approximately equals to 0.453592 kilograms.

So the mass of player 1 is 250 lbs * 0.453592 = 113.398 kilograms

And the mass of player 2 converts to 314 lbs * 0.453592 = 142.4 kilograms

Now that we know the mass in kilograms, we can plug this into our kinetic energy formula.

The formula for the kinetic energy (E_k) is E_k = 1/2 * m * v^2

For player 1:
E_k1 = 1/2 * 113.398 kg * (3 m/s)^2 = 510.291 J (joules)

Similarly, for player 2:
E_k2 = 1/2 * 142.4 kg * (4.5 m/s)^2 = 1442.082 J (joules)

So, the kinetic energy of player 1 is approximately 510.291 J and for player 2 is approximately 1442.082 J.