Respuesta :
The answer is 3.2 m/s (this is a rounded answer). In the picture there is a step by step explanation.

The speed of object is 3.68m\s.
Given that,
Mass of the object = 5.2 kg,
Object that possesses 26.1 J of kinetic energy.
We have to find,
The speed of the object.
According to the question,
Kinetic energy is a form of energy that an object or a particle has by reason of its motion.
If work, which transfers energy, is done on an object by applying a net force, the object speeds up and there by gains kinetic energy.
Then, The formula of kinetic energy is given as,
[tex]K.E = \frac{1}{2} mv^{2}[/tex]
Where, m = mass of the object
And v = speed of the object
Therefore, The speed of the object calculated as.
[tex]KE = \frac{1}{2} mv^{2} \\\\26.1 = \frac{1}{2} \times 5.2\times v^{2} \\\\26.1 = 2.6 \times v^{2} \\\\\frac{26.1}{2.6} = v^{2} \\\\v^{2} = 10.1\\\\v = \sqrt{10.1} \\\\v = 3.68[/tex]
Hence, The speed of object is 3.68m\s.
For more information about kinetic energy click the link given below.
https://brainly.com/question/20339401