Kinetic Energy Basic

What is the kinetic energy of an 60-kg athlete, running at 10 m/s?

Answer in kilojoules.


The answer is 3.

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3 solutions

Tom Engelsman
Nov 4, 2020

The kinetic energy is computed per:

K E = 1 2 m v 2 = 1 2 ( 60 ) ( 1 0 2 ) = 3 , 000 = 3 k J . KE = \frac{1}{2}mv^{2} = \frac{1}{2}(60)(10^{2}) = 3,000 = \boxed{3 kJ}.

Callie Ferguson
Nov 6, 2020

K E = 1 2 m v 2 \large{\mathbf{* KE=\frac{1}{2}mv^2 *}}

m = 60 kg v = 10 m/s \boxed{m=60 \text{ kg} \space \space v= 10 \text{ m/s}}

Plug m and v into K E = 1 2 m v 2 \large{\bf{\text{Plug } m \text{ and }v \text{ into }KE=\frac{1}{2}mv^2}}

K E = 1 2 ( 60 ) ( 10 × 10 ) = ( 30 ) ( 100 ) = 3000 joules KE=\frac{1}{2}(60)(10 \times 10)=(30)(100)=3000 \text{ joules}

1 kJ = 1000 J 1 \text{ kJ} = 1000 \text{ J}

3000 J = 3 kJ \rightarrow 3000 \text{ J} = \boxed{3 \text{ kJ}}

N O T E : \large{\bf{* NOTE:}} It’s important that m and v are in the correct SI units (kg and m/s, respectively) \bf{\text{ It's important that } m \text{ and } v \text{ are in the correct SI units (kg and m/s, respectively)}}

Krishna Karthik
Nov 4, 2020

Bruh there are literally sheets full of these types of problems, with thousands of different number values.

T = m v 2 2 \displaystyle T = \frac{mv^2}{2}

So energy is 3000 J = 3 k J 3000J = 3kJ

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