# The aircraft’s speed has doubled. How many times has its kinetic energy changed?

June 27, 2021 | education

| V2 = 2 * V1.

Ek2 / Ek1 -?

The kinetic energy of a body is determined by the formula: Ek = m * V ^ 2/2, where m is the mass of the body, V is the speed of movement of the body.

Let’s find the initial kinetic energy of the body: Ek1 = m * V1 ^ 2/2.

Let’s find the kinetic energy of the same body after increasing its speed by 2 times: Ek2 = m * V2 ^ 2/2 = m * (2 * V1) ^ 2/2 = 4 * m * V1 ^ 2/2 = 4 * Ek1.

Ek2 / Ek1 = 4.

Answer: the kinetic energy of the body, with an increase in speed by 2 times, increases by 4 times: Ek2 / Ek1 = 4.

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