Respuesta :

Answer:

Energy needed = 1100 kJ

Explanation:

Energy needed = Change in kinetic energy

Initial velocity = 15 m/s

Mass, m = 1600 kg

[tex]\texttt{Initial kinetic energy = }\frac{1}{2}mv^2=0.5\times 1600\times 15^2=180000J[/tex]

Final velocity = 40 m/s

[tex]\texttt{Final kinetic energy = }\frac{1}{2}mv^2=0.5\times 1600\times 40^2=1280000J[/tex]

Energy needed = Change in kinetic energy = 1280000-180000 = 1100000J

Energy needed = 1100 kJ

The energy needed will be 1100KJ.

Kinetic Energy:

  • It is the energy that it possesses due to its motion.
  • It is given by formula:

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

Energy needed = Change in kinetic energy

Given:

Initial velocity = 15 m/s

Final velocity = 40 m/s

Mass, m = 1600 kg

Substituting the values in the above formula:

1. Calculating for Initial K.E:

[tex]\text{Initial K.E}=\frac{1}{2}*1600*15^2\\\\ \text{Initial K.E}=180,000J[/tex]

2. Calculating for Final  K.E:

[tex]\text{Final K.E} =\frac{1}{2}*1600*40^2\\\\\text{Final K.E} = 1,280,000J[/tex]

Energy needed is the change in the kinetic energy.

Thus, the Energy needed will be:

[tex]\text{Energy needed}=1280000J-180000J\\\\\text{Energy needed}=1100000J\\\\\text{Energy needed}=1100KJ[/tex]

Find more information about Kinetic energy here:

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