5. An object has a kinetic energy of 14 J and a mass of 17 kg how fast is the object moving?

To find the speed of the object, we use the formula for kinetic energy:<br /><br />\[<br />KE = \frac{1}{2} m v^2<br />\]<br /><br />Where:<br />- \( KE \) is the kinetic energy (14 J),<br />- \( m \) is the mass (17 kg),<br />- \( v \) is the velocity (what we are solving for).<br /><br />Rearranging the formula to solve for \( v \):<br /><br />\[<br />v = \sqrt{\frac{2 \cdot KE}{m}}<br />\]<br /><br />Substitute the given values:<br /><br />\[<br />v = \sqrt{\frac{2 \cdot 14}{17}}<br />\]<br /><br />\[<br />v = \sqrt{\frac{28}{17}}<br />\]<br /><br />\[<br />v = \sqrt{1.647}<br />\]<br /><br />\[<br />v \approx 1.28 \, \text{m/s}<br />\]<br /><br />The object is moving at approximately **1.28 m/s**.