An object moving with a speed of 35m/s and has a kinetic energy of 1500J 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 \( KE \) is the kinetic energy, \( m \) is the mass, and \( v \) is the velocity.<br /><br />Given:<br />\[ KE = 1500 \, \text{J} \]<br />\[ v = 35 \, \text{m/s} \]<br /><br />We need to solve for \( m \). Rearrange the formula to solve for \( m \):<br /><br />\[ m = \frac{2 \cdot KE}{v^2} \]<br /><br />Substitute the given values into the equation:<br /><br />\[ m = \frac{2 \cdot 1500 \, \text{J}}{(35 \, \text{m/s})^2} \]<br /><br />\[ m = \frac{3000 \, \text{J}}{1225 \, \text{m}^2/\text{s}^2} \]<br /><br />\[ m = \frac{3000}{1225} \]<br /><br />\[ m \approx 2.45 \, \text{kg} \]<br /><br />So, the mass of the object is approximately \( 2.45 \, \text{kg} \).