A 10 kg ball has a height of 2 m, while a 5 kg ball has a height of 5 m. Which ball has more potential energy? They both have the same potential energy The 5 kg ball Impossible to predict The 10kg ball

## Step 1<br />The potential energy of an object is determined by its mass, height, and the acceleration due to gravity. The formula for potential energy is:<br />### \( PE = mgh \)<br />where \( m \) is the mass of the object, \( g \) is the acceleration due to gravity, and \( h \) is the height of the object.<br /><br />## Step 2<br />In this problem, we have two balls with different masses and heights. The 10 kg ball is at a height of 2 m, and the 5 kg ball is at a height of 5 m.<br /><br />## Step 3<br />We can calculate the potential energy of each ball using the formula from Step 1.<br /><br />## Step 4<br />The potential energy of the 10 kg ball is calculated as:<br />### \( PE_{10kg} = 10kg * 9.8m/s^2 * 2m = 196 Joules \)<br /><br />## Step 5<br />The potential energy of the 5 kg ball is calculated as:<br />### \( PE_{5kg} = 5kg * 9.8m/s^2 * 5m = 245 Joules \)<br /><br />## Step 6<br />Comparing the potential energies of the two balls, we can see that the 5 kg ball has more potential energy than the 10 kg ball.