To find the mass of the object, we can use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:
mass = (2 * KE) / (velocity^2)
Substituting the given values:
mass = (2 * 426 J) / (13 m/s)^2
mass = (2 * 426 J) / (169 m^2/s^2)
mass = 852 J / 169 m^2/s^2
mass = 5.04 kg
Therefore, the mass of the object is 5.04 kg.