Question

What is the kinetic energy of a car with a mass of 1781 kg if it's traveling at 19.33 m/s? Submit your answer in exponential form.

Answer 1

332734.34 Joules

Step-by-step explanation

Kinetic energy is a form of energy that an object or a particle has by reason of its motion and mass, it is represented by the expression

`\begin{gathered} E_k=(1)/(2)mv^2 \\ where\text{ m is the mass} \\ v\text{ is the velocity} \\ the\text{ unit for kinetik energy is Joules} \\ 1\text{ Joule} \\ 1\text{ Joule=kg}(m^2)/(s^2) \end{gathered}`

then

Step 1

a) Let

`\begin{gathered} mass=\text{ 1781 Kg} \\ v=19.33(m)/(s) \end{gathered}`

b) now,replace in the formula:

`\begin{gathered} E_(k)=(1)/(2)mv^(2) \\ E_k=(1)/(2)(1781kg)(19.33(m)/(s))^2 \\ E_k=332734.34\text{ Joules} \end{gathered}`

therefore, the answer is 332734.34 Joules

I hope this helps you