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An empty truck traveling at 10 km/h has kinetic energy. How much kinetic energy does it have when loaded so that its mass and its speed are both doubled?

Answer :

muhammadjonedkhattak

Answer:

8 time increase in K.E.

Explanation:

Consider Mass of truck = m kg and speed = v m/s then

K.E. = 1/2 ×mv²

If mass and speed both are doubled i.e let m₀ = 2m and v₀ = 2v then

(K.E.)₀ =  1/2 ×2m(2v)²

(K.E.)₀ = 8 (1/2 × mv²) = 8 × K.E.

Lanuel

The kinetic energy of the truck when loaded so that its mass and its speed are both doubled is 8 times the K.E.

Given the following data:

  • Velocity = 10 km/h

To determine the kinetic energy of the truck when loaded so that its mass and its speed are both doubled:

When its mass and speed are both doubled, we have:

  • Mass = 2M
  • Velocity = 2V

Mathematically, kinetic energy is calculated by using the formula;

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

Where:

  • K.E is the kinetic energy.
  • M is the mass of an object.
  • V is the velocity of an object.

Substituting the given parameters into the formula, we have;

[tex]K.E = \frac{1}{2} \times 2M \times (2V)^2\\\\K.E = \frac{1}{2} \times 2M \times 4V^2\\\\K.E = \frac{1}{2} \times 8MV^2\\\\K.E = 8 \times \frac{1}{2} MV^2[/tex]

Therefore, the kinetic energy of the truck when loaded so that its mass and its speed are both doubled is 8 times the K.E.

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