Final answer:
Physics true or false questions span a variety of concepts from vectors to wave superposition. The Pythagorean theorem applies to orthogonal vectors, external forces can reveal an empty box, wave amplitudes can interact in more scenarios than precise alignment, waves of different frequencies can superpose, and ramp force calculations include more factors than just dimensions.
Step-by-step explanation:
True or False questions in physics require an understanding of fundamental concepts to answer correctly. Here are several clarifications based on the given statements:
- The statement that we can use the Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors at right angles is true. The theorem applies perfectly in this case of orthogonal vectors.
- To determine which of two similar boxes, one filled with pebbles and one empty, is full without opening or lifting them, you can apply an external force. The one that accelerates faster is lighter, and thus, is the empty box.
- It is false that the amplitude of one wave is affected by the amplitude of another only when they are precisely aligned. Amplitudes of waves can affect each other in various types of interference, not just when aligned.
- The principle of superposition of waves indicates that it is true that waves can superimpose if their frequencies are different; this can result in complex wave patterns.
- Despite a common misunderstanding, it is false that pushing a box up a ramp with certain dimensions means you are exerting a force exactly proportional to those dimensions. The actual force exerted is influenced by factors such as friction and the angle of the ramp.