Question

What speed would a fly with a mass of 0.638 g need in order to have 74354.5 j of kinetic energy

Answer 1

v = 15,267 m/s

Step-by-step explanation:

Kinetic Energy

Is the type of energy of an object due to its state of motion. It's proportional to the square of the speed.

The formula to calculate the kinetic energy is:

`\displaystyle K=(1)/(2)mv^2`

Where:

m = mass

v = speed

The kinetic energy is often expressed in Joules (J)

We are given the mass of a fly m=0.638 g and we need to calculate its speed in order to have a kinetic energy of 74354.5 J.

Converting:

m=0.638 g /1000 = 0.000638 kg

To find the speed, we solve the formula for v:

`\displaystyle v=\sqrt{(2K)/(m)}`

`\displaystyle v=\sqrt{(2K)/(m)}`

Substituting:

`\displaystyle v=\sqrt{(2*74354.5)/(0.000638)}`

v = 15,267 m/s

(The fly should move faster than a rocket)