An automobile is sitting on a hill which is 20 m higher than ground level. Find the mass of the automobile if It contains 362,600 J of potential energy. a 1850 kg b 6489J C 362,630J d 18130J

## Step 1<br />The problem involves the calculation of the mass of an automobile given its potential energy and the height of the hill it is on. The formula for potential energy is:<br />### **Potential Energy = mass * gravity * height**<br />where:<br />- Potential Energy is the energy an object possesses due to its position relative to other objects,<br />- mass is the amount of matter in an object,<br />- gravity is the acceleration due to gravity, and<br />- height is the distance of the object from the ground.<br /><br />## Step 2<br />In this problem, the potential energy is given as 362,600 J, the height is 20 m, and the acceleration due to gravity is approximately 9.8 m/s².<br /><br />## Step 3<br />We can rearrange the formula to solve for mass:<br />### **mass = Potential Energy / (gravity * height)**<br /><br />## Step 4<br />Substitute the given values into the formula:<br />### **mass = 362,600 J / (9.8 m/s² * 20 m)**<br /><br />## Step 5<br />Calculate the mass:<br />### **mass = 1850 kg**