A 6.8-kilogram block is sliding down a horizontal, frictionless surface at a constant speed of 6.0 meters per second. The kinetic energy of the block is approximately

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Answer:

Ek = 122.4 [J]

Explanation:

This is a problem related to energy conservation, for this particular case kinetic energy is calculated with the following expression

[tex]E_{k}=\frac{1}{2}*m*v^{2}[/tex]

where:

m = mass = 6.8[kg]

v = velocity = 6 [m/s]

Now replacing:

[tex]E_{k} = \frac{1}{2}*6.8*(6)^{2}\\ E_{k} = 122.4[J][/tex]

Note: The unit for energy is the Joule

The kinetic energy of the block is approximately 122 Joules

Given that the kinetic energy of the object in motion is sliding with a mass of 6.8 kilograms and a constant speed 6.0 meter per second.

The kinetic energy of an object can be determined by using the formula:

[tex]\mathbf{K.E = \dfrac{1}{2} \times m \times v^2}[/tex]

[tex]\mathbf{K.E = \dfrac{1}{2} \times 6.8 kg \times (6.0 \ m/s)^2}[/tex]

[tex]\mathbf{K.E = 3.4 kg \times (36 \ m/s)^2}[/tex]

K.E = 122.4 kg m²/s²

K.E = 122 Joules

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