Poe Warm-up Quiz #1

Explanation
The IMA (Ideal Mechanical Advantage) of a ramp is calculated by dividing the distance the truck is lifted by the distance it travels. In this case, the truck is lifted 0.5 meters and travels a distance of 2.2 meters. Dividing 0.5 by 2.2 gives us an IMA of 0.227, which is equivalent to 4.4 when rounded to one decimal place. Therefore, the correct answer is 4.4.

Explanation
The IMA (Ideal Mechanical Advantage) of the wheelbarrow is 2.5. IMA is the ratio of the output force to the input force. In this case, the output force is 750-N of mulch and the input force is 300-N of force applied by Noah. By dividing the output force by the input force, we get 2.5, which represents the mechanical advantage of the wheelbarrow.

Explanation
The block and tackle system provides an advantage of 16, which means that the force needed to lift the piano is 1/16th of its weight. Therefore, the force needed is 450 pounds divided by 16, which equals 28.125 pounds.

Explanation
The lever system consists of two arms: the resistance arm and the effort arm. The resistance arm is given as 1.25 meters. The IMA (Ideal Mechanical Advantage) of the lever is given as 4. The IMA is calculated by dividing the length of the resistance arm by the length of the effort arm. In this case, we need to find the length of the effort arm. Since the IMA is 4, and the resistance arm is 1.25 meters, the effort arm must be 4 times longer than the resistance arm. Therefore, the length of the effort arm is 5 meters.

Explanation
A second-class lever is pictured to the right. In a second-class lever, the load is located between the fulcrum and the effort. This lever increases the force applied to the load, making it easier to lift heavy objects. In the picture, it appears that the fulcrum is on the left side, the load is in the middle, and the effort is on the right side, indicating a second-class lever.

Explanation
The picture to the right shows a 3rd class lever. In a 3rd class lever, the effort is applied between the fulcrum and the load. This means that the load is closer to the fulcrum than the effort. In the picture, the fulcrum is on the left side, the load is on the right side, and the effort is being applied in the middle. This arrangement is characteristic of a 3rd class lever.

Explanation
The ratio between the number of teeth on the large gear and the small gear is 6:1 (72/12). This means that for every 6 turns of the large gear, the small gear will make 1 turn. Since the large gear makes 4 complete turns, the small gear will make 4/6 or 2/3 of a turn. To convert this to a whole number of turns, we multiply 2/3 by 3/3, which gives us 6/3 or 2 turns. Therefore, the small gear will make 2 turns or 24 turns.

Explanation
The work done on an object can be calculated by multiplying the force applied to the object by the distance it is moved. In this case, a 3000 N force is exerted to move the car 50.0 m. Therefore, the work done on the car is equal to (3000 N) * (50.0 m) = 150,000 joules.

Explanation
Geothermal energy is not an energy source found in the Rock Hill area. Geothermal energy refers to the heat stored within the Earth, which can be used to generate electricity or for heating and cooling purposes. However, the presence of geothermal energy depends on the geological characteristics of an area, such as the presence of hot springs or geothermal reservoirs, which may not be found in the Rock Hill area. Therefore, geothermal energy is not available as an energy source in this specific location.

Explanation
The amount of force required to lift an object depends on its weight, which is the force exerted on the object due to gravity. The weight of an object is typically measured in Newtons (N). Therefore, the correct answer is 40 N, indicating that 40 Newtons of force is needed to lift the object.

Explanation
The correct answer is 30 N. This is because the question asks for the amount of force required to lift the object, and 30 N is the only option that represents a force. The other options, 40 N, 120 N, and 60 N, are all incorrect as they do not match the given correct answer.

Explanation
To move the object 10 cm, you will need to pull the rope for a distance greater than 10 cm. The most logical option is 30 cm, as it provides enough length to account for the movement of the object. Pulling the rope for 20 cm or 10 cm would not be sufficient, while pulling it for 40 cm would be excessive. Therefore, 30 cm is the correct answer.

Explanation
To move the object 25 cm, you would need to pull the rope for a distance equal to the displacement of the object. Since the object is being moved 25 cm, the rope needs to be pulled for the same distance, which is 25 cm. Therefore, the correct answer is 25 cm.