Respuesta :

Stephen46

Answer:

875 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 70 \times {5}^{2} \\ = 35 \times 25 \\ = 875[/tex]

We have the final answer as

875 J

Hope this helps you

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 875 \ Joules}}[/tex]

Explanation:

Kinetic energy is the energy an object possesses due to motion. It is calculated using the following formula:

[tex]KE= \frac{1}{2}mv^2[/tex]

The mass of the person is 70 kilograms and they are moving at a speed of 5 meters per second.

  • m= 70 kg
  • v= 5 m/s

Substitute these values into the formula.

[tex]KE= \frac{1}{2} (70 \ kg )(5 \ m/s)^2[/tex]

Solve the exponent.

  • (5 m/s)² = 5 m/s * 5 m/s = 25 m²/s²

[tex]KE= \frac{1}{2}(70 \ kg)(25 \ m^2/s^2)[/tex]

Multiply the numbers in parentheses.

[tex]KE= \frac{1}{2} (1750 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]KE= 875 \ kg*m^2/s^2[/tex]

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule. So, our answer of 875 kg*m²/s² is equal to 875 Joules.

[tex]KE= 875 \ J[/tex]

The person has 875 Joules of kinetic energy.