Question

Different mass crates are placed on top of springs of uncompressed length L0 and stiffness k. (Figure 11 The crates are released and the springs compress to a length L before bringing the crates back up to their original positions. part A Rank the time required for the crates to return to their initial positions from largest to smallest. Rank from largest to smallest. To rank items as equivalent, overlap them.

Answer 1

The time required for the crates to return to their initial positions depends on the masses of the crates and the stiffness of the springs. A larger mass or a smaller stiffness will result in a longer time. Ranking the time required from largest to smallest depends on the combinations of mass and stiffness.

Step-by-step explanation:

The time required for the crates to return to their initial positions depends on the properties of the springs and the masses of the crates. The larger the mass of the crate, the longer it will take for it to return to its initial position. Similarly, the smaller the stiffness of the spring, the longer it will take for the crate to return. Therefore, to rank the time required from largest to smallest, we can consider the following:

1. A crate with a larger mass and a spring with a smaller stiffness
2. A crate with a larger mass and a spring with a larger stiffness
3. A crate with a smaller mass and a spring with a smaller stiffness
4. A crate with a smaller mass and a spring with a larger stiffness

Answer 2

The time required for crates to return to their initial positions depends on the mass and stiffness of the spring. Heavier crates on less stiff springs take the longest to return, while lighter crates on stiffer springs take the least amount of time.

Step-by-step explanation:

The time required for the crates to return to their initial positions depends on the mass and the stiffness of the spring. A stiffer spring will take less time to return to its initial position compared to a less stiff spring.

Similarly, a lighter crate will take less time to return to its initial position compared to a heavier crate.

So, the ranking of the time required for the crates to return to their initial positions from largest to smallest would be:

1. Heavier crate on a less stiff spring
2. Heavier crate on a stiffer spring
3. Lighter crate on a less stiff spring
4. Lighter crate on a stiffer spring