. An object Lucying with a spced of 67m/s anil iras a kinetic energy of 500 J.what is the mass of the object.

To find the mass of the object, we can use the formula for kinetic energy:<br /><br />\[ KE = \frac{1}{2}mv^2 \]<br /><br />where:<br />- \( KE \) is the kinetic energy,<br />- \( m \) is the mass,<br />- \( v \) is the speed.<br /><br />Given:<br />- \( KE = 500 \, J \)<br />- \( v = 67 \, m/s \)<br /><br />We need to solve for \( m \):<br /><br />\[ 500 = \frac{1}{2}m(67)^2 \]<br /><br />First, simplify the equation:<br /><br />\[ 500 = \frac{1}{2}m \cdot 4489 \]<br /><br />Multiply both sides by 2 to isolate \( m \cdot 4489 \):<br /><br />\[ 1000 = m \cdot 4489 \]<br /><br />Finally, divide both sides by 4489 to solve for \( m \):<br /><br />\[ m = \frac{1000}{4489} \]<br /><br />\[ m \approx 0.223 \, kg \]<br /><br />So, the mass of the object is approximately \( 0.223 \, kg \).