An object has a kinetic energy of 25 J and a mass of 34 kg how fast is the object moving?

To find the speed of the object, we can use the formula for kinetic energy:<br /><br />\[ KE = \frac{1}{2} m v^2 \]<br /><br />where \( KE \) is the kinetic energy, \( m \) is the mass, and \( v \) is the velocity.<br /><br />Given:<br />- \( KE = 25 \) J<br />- \( m = 34 \) kg<br /><br />We need to solve for \( v \):<br /><br />\[ 25 = \frac{1}{2} \times 34 \times v^2 \]<br /><br />First, multiply both sides by 2 to get rid of the fraction:<br /><br />\[ 50 = 34 \times v^2 \]<br /><br />Next, divide both sides by 34:<br /><br />\[ v^2 = \frac{50}{34} \]<br /><br />\[ v^2 \approx 1.4706 \]<br /><br />Finally, take the square root of both sides to solve for \( v \):<br /><br />\[ v \approx \sqrt{1.4706} \]<br /><br />\[ v \approx 1.2135 \, \text{m/s} \]<br /><br />So, the object is moving at approximately 1.21 m/s.