Question

Is the following statement true or false: "He thinks five kilometers is too long to walk."

A) True
B) False

Answer 1

'False'.The statement regarding personal opinion on walking five kilometers cannot be deemed true or false. However, the mathematical statements regarding displacement, incorrect directions, and force on a ramp have been addressed with explanations and are either marked as false or are clarified. In mathematics, converting to consistent units is essential for comparison.

Step-by-step explanation:

The statement "He thinks five kilometers is too long to walk." cannot be deemed true or false without additional context, as it reflects a personal opinion, not a factual claim. However, for the given mathematical statements:

1. True or False: A person walks 2 blocks east and 5 blocks north. Another person walks 5 blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person. The correct answer is b. False. Since displacement is the shortest distance between the starting point and the endpoint, and both persons have the same starting and ending points, their displacements would be the same.
2. True or False: A person is following a set of directions. He has to walk 2 km east and then 1 km north. He takes a wrong turn and walks in the opposite direction for the second leg of the trip. The magnitude of his total displacement would be different. This statement is incomplete, but the magnitude of his total displacement would indeed be different if he walks in the opposite direction for the second leg of the trip.
3. True or False: A boy pushed a box with a weight of 300 N up a ramp. He said that because the ramp was 1.0 m high and 3.0 m long, he must have been pushing with a force of exactly 100 N. The correct answer is b. False. The force the boy must exert depends on various factors including the mechanical advantage of the ramp and friction, not merely the weight of the box and dimensions of the ramp.

When comparing distances in a problem, it's important to have all measurements in the same unit for accurate comparison. For example, to compare 5000 meters with 10 kilometers, we convert 5000 meters to kilometers: 5000 meters = 5 kilometers. Therefore, 10 kilometers is greater than 5 kilometers.