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