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To find the mass of an object with a given velocity and kinetic energy, we can use the formula for kinetic energy:

K.E.=12mv2K.E. = frac{1}{2} m v^2

Where: K.E.K.E. is the kinetic energy, mm is the mass of the object, and vv is the velocity of the object.

Given that the velocity is 2 m/s and the kinetic energy is 12 joules, we can substitute these values into the equation:

12 joules=12⋅m⋅(2 m/s)212 , ext{joules} = frac{1}{2} cdot m cdot (2 , ext{m/s})^2

Simplifying the equation:

12=12⋅m⋅412 = frac{1}{2} cdot m cdot 4

12=2m12 = 2m

Now, we can solve for the mass (mm) by isolating it:

m=122=6 kgm = frac{12}{2} = 6 , ext{kg}

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