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a total of 4 objects are moving in a system. if each object has a mass of 10 kg and each are moving with a velocity of 4 m/s, what is the total kinetic energy of the system?
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Step1: Define kinetic energy formula
The kinetic energy of one object is $KE = \frac{1}{2}mv^2$
Step2: Calculate KE for one object
Substitute $m=10\ \text{kg}$, $v=4\ \text{m/s}$:
$KE = \frac{1}{2} \times 10 \times 4^2 = \frac{1}{2} \times 10 \times 16 = 80\ \text{J}$
Step3: Find total system KE
Multiply single object KE by 4:
$\text{Total KE} = 4 \times 80 = 320\ \text{J}$
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320 J