A kg ball of lead rests next to a 10 kg rock. which statement below is true:a:the lead ball and rock have the same amount of inertia,b:if the lead ball and the rock fell from the same height in a vacuum, the rock would hit the ground first because it is less massive,c: on the moon both would have the same mass as on earth,but not the same weights as on earth,d:because the lead ball has a larger mass than the rock,it will definitely have a larger volume than the rock
There is one correct answer. Tell us what you think it is, based upon what you have learned so far.
Remember the difference between mass and weight. That should help you choose the right answer.
To determine which statement is true, let's analyze each option:
a: "The lead ball and rock have the same amount of inertia."
To evaluate this statement, we need to understand what inertia is. Inertia refers to an object's resistance to a change in its state of motion. In this case, since both the lead ball and rock are at rest, they have the same amount of inertia, making statement a true.
b: "If the lead ball and the rock fell from the same height in a vacuum, the rock would hit the ground first because it is less massive."
To determine if the rock would hit the ground first, we need to consider the concept of free fall. In a vacuum, all objects, regardless of their mass, fall at the same rate due to the absence of air resistance. Therefore, statement b is false as both objects would hit the ground simultaneously.
c: "On the moon, both would have the same mass as on Earth, but not the same weights as on Earth."
The weight of an object is dependent on the gravitational pull acting on it. On the moon, the gravitational pull is weaker than on Earth, so both the lead ball and rock would have the same mass (as mass remains constant regardless of location), but their weights would be different. Hence, statement c is true.
d: "Because the lead ball has a larger mass than the rock, it will definitely have a larger volume than the rock."
Mass and volume are distinct properties of objects. The mass relates to the amount of matter contained in an object, while volume refers to the space it occupies. There is no direct correlation between mass and volume, so statement d is false. It is not necessarily true that the lead ball will have a larger volume than the rock simply based on its larger mass.
In conclusion, the only true statement is c: "On the moon, both would have the same mass as on Earth, but not the same weights as on Earth."