At the 2009 Berlin World Championships, Usain Bolt set the world record in the 200m race. During the race he reached a maximum speed of 12.27 meters per second. If Usain weighs 96.54 kg and he ran the entire race at this speed, how much kinetic energy would he have generated in units of -

Respuesta :

Answer:

7267.19 J

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 96.54 kg

Velocity (v) = 12.27 m/s

Kinetic energy (KE) =?

Kinetic energy is simply defined as the the energy possess by a body in motion. Mathematically, it can be expressed as:

KE = ½mv²

Where

KE => is the kinetic energy

m => is the mass of the object

V => is the velocity of the object.

With the above formula, we can obtain the kinetic energy Usain Bolt as follow:

Mass (m) = 96.54 kg

Velocity (v) = 12.27 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 96.54 × 12.27²

KE = 48.27 × 150.5529

KE = 7267.19 J

Thus, the kinetic energy of Usain Bolt is 7267.19 J

Lanuel

The amount of kinetic energy generated by Usain Bolt is equal to 7,267.189 Joules.

Given the following data:

  • Distance = 200 m.
  • Speed = 12.27 meters per second.
  • Mass = 96.54 kg.

To calculate the amount of kinetic energy generated by Usain Bolt:

How to calculate kinetic energy.

Mathematically, kinetic energy is given by this formula:

[tex]K.E = \frac{1}{2} MV^2[/tex]

Where:

  • K.E is the kinetic energy.
  • M is the mass.
  • V is the speed.

Substituting the given parameters into the formula, we have;

[tex]K.E = \frac{1}{2} \times 96.54 \times 12.27^2\\\\K.E = 48.27 \times 150.5529[/tex]

K.E = 7,267.189 Joules.

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