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^2K.E.=21mv2
Where: K.E.K.E.K.E. is the kinetic energy, mmm is the mass of the object, and vvv 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})^212joules=21⋅m⋅(2m/s)2
Simplifying the equation:
12=12⋅m⋅412 = frac{1}{2} cdot m cdot 412=21⋅m⋅4
12=2m12 = 2m12=2m
Now, we can solve for the mass (mmm) by isolating it:
m=122=6 kgm = frac{12}{2} = 6 , ext{kg}m=