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A go cart with a mass of 60 kg is moving at a rate of 10 m/s. How much Kinetic Energy does the go cart have?

Respuesta :

Answer:

3000 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 in kg

v is the velocity in m/s

From the question

m = 60 kg

v = 10 m/s

We have

[tex]k = \frac{1}{2} \times 60 \times {10}^{2} \\ = 30 \times 100 \\ = 3000[/tex]

We have the final answer as

3000 J

Hope this helps you

Answer:

[tex]\boxed {\boxed {\sf 3000 \ J}}[/tex]

Explanation:

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

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

The mass of the go-cart is 60 kilograms and the velocity is 10 meters per second.

  • m= 60 kg
  • v= 10 m/s

Substitute the values into the formula.

[tex]KE= \frac{1}{2} (60 \ kg)(10 \ m/s)^2[/tex]

Solve the exponent.

  • (10 m/s)² = 10 m/s * 10 m/s = 100 m²/s²

[tex]KE = \frac{ 1}{2} (60 \ kg)(100 \ m^2/s^2)[/tex]

Multiply the numbers together.

[tex]KE= 30 \ kg * 100 \ m^2/s^2[/tex]

[tex]KE= 3000 \ 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 3000 kg*m²/s² equals 3000 Joules.

[tex]KE= 3000 \ J[/tex]

The go-cart has 3000 Joules of kinetic energy.