**Kinetic Energy Formula**

#### The Kinetic energy is the energy that an object has due to its motion. *E*_{k}, is the energy of a mass, *m*, in motion, *v*^{2}.

_{k}

^{2}

*E*_{k} = 1/2 mv^{2}

*E*

_{k}= 1/2 mv^{2}*E*_{k} = Kinetic energy

_{k}

*m* = mass

*v* = velocity

####
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**Kinetic Energy Formula Questions.**

**Kinetic Energy Formula Questions.**

#### 1) The mass of a baby elephant is 113 kg, and it walks at a constant velocity of 0.5 m/sec. What is the kinetic energy for the baby elephant?

**Answer:** The mass, *m* = 113 kg, and the velocity, *v* = 0.5 m/sec. Use the kinetic energy equation.

*E*_{k} = 1/2 mv^{2}

*E*

_{k}= 1/2 mv^{2}*E*_{k} = 1/2 (113 kg) (0.5 m/sec)^{2}

_{k}

*E*_{k} = 1/2 (113 kg)(0.25 m^{2}/s^{2})

_{k}

*E*_{k} = 14.125 kg m^{2}/sec^{2} = 14.125 Joules

_{k}

####
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#### [2] If the kinetic energy of a car is 320,000 Joules (3.2 x 10^{5} J), and it’s velocity is 25 m/s, what is the vehicle’s mass?

**Answer:** The kinetic energy for the car in motion is *E*_{k} = 320,000 J = 32,000 kg m^{2}/s^{2}. The velocity of the car, *v* = 25 m/s.

_{k}

*E*_{k} = 1/2 mv^{2}

*E*

_{k}= 1/2 mv^{2}*E*_{k}/0.5v^{2} = m

_{k}/0.5v

^{2}