13. A soccer ball and a car are dropped from the same height in a vacuum on Earth.Choose the two statements that are correct. A The gravitational force each object experiences is dependent on mass. B. The soccer ball and the car experience the same acceleration due to gravity. C. The car will take less time to reach the ground than the soccer ball. D. The soccer ball will take less time to reach the ground than the car. E The soccer ball and the car experience the same gravitational force.

## Step 1<br />The problem involves understanding the principles of gravity and acceleration. According to Newton's second law of motion, the force of gravity on an object is directly proportional to its mass. This means that the heavier the object, the greater the force of gravity it experiences. However, the acceleration due to gravity is constant for all objects, regardless of their mass. This is known as the principle of equivalence, which states that all objects fall at the same rate in a vacuum.<br /><br />## Step 2<br />In this problem, both the soccer ball and the car are dropped from the same height in a vacuum on Earth. This means that the acceleration due to gravity is the same for both objects, which is approximately 9.8 m/s².<br /><br />## Step 3<br />The time it takes for an object to fall to the ground is determined by the equation \(t = \sqrt{2h/g}\), where \(t\) is the time, \(h\) is the height, and \(g\) is the acceleration due to gravity. Since the height and the acceleration due to gravity are the same for both objects, the time it takes for them to fall to the ground is also the same.<br /><br />## Step 4<br />The gravitational force experienced by each object is dependent on its mass. The heavier the object, the greater the gravitational force it experiences. Therefore, the car, being heavier than the soccer ball, experiences a greater gravitational force.