Question

By having the anchor point directly above the work location.
A) True
B) False

Answer 1

Displacement remains the same regardless of the path taken, vectors can form right angle triangles with their components, and the statement about wire insulation is incorrect. Amplitudes of waves are affected by each other's alignment during interference, not just when precisely aligned.

Step-by-step explanation:

Understanding Displacement and Vector Addition

The concept of displacement is central to problems in kinematics, a branch of physics dealing with the motion of objects. Vector addition is a key tool for solving such problems.

Considering the provided information, the statement 'By having the anchor point directly above the work location. A) True B) False' seems to be missing context. However, based on the rest of the questions and reference to vector addition and displacement:

• A statement that the displacement will be the same regardless of path followed is True. Whether a person walks 2 blocks east and then 5 blocks north, or 5 blocks north and then 2 blocks east, the displacement, which is the straight-line distance from the starting point to the end point in a particular direction, remains unchanged.
• It is True that a vector can form the shape of a right angle triangle with its x and y components. This is based on the principle that vectors can be decomposed into perpendicular components, which can often be visualized as the sides of a right-angled triangle in a two-dimensional plane.
• The position vs time graph of an object that is speeding up is not a straight line, making this statement False. When an object is speeding up, the slope of the position vs time graph increases, resulting in a curved line, typically a parabola.
• The amplitude of one wave is not necessarily affected by the amplitude of another wave unless they are interfering with each other, so the statement that it occurs only when waves are precisely aligned is False, as waves can interfere under various alignments, not just when precisely aligned.
• The statement regarding high-voltage wires being wrapped in an insulating material is False, as typically, these wires are not insulated due to their high placement and the cost and impracticality of insulating such long distances of wire.

Vector addition, like in example of the woman mistakenly arriving at a different location than the dock (A + B versus A + (-B)), illustrates how direction change can result in a different endpoint, even with the same magnitudes involved.