Question

Two clocks, one 3 seconds slow and the other 5 seconds slow, provide equally precise ×. Is this statement:

a) True
b) False

Answer 1

The statement regarding the two clocks is false; they do not provide equally precise time. Physics questions are answered as false, true, true, and false respectively, considering the principles of acceleration, wave interference, superposition, and displacement. The uncertainty of the coach's new stopwatch does not preclude its effectiveness in timing sprints.The statement is false.

Step-by-step explanation:

Regarding the two clocks, the statement that two clocks, one 3 seconds slow and the other 5 seconds slow, provide equally precise measurements would be false. If two clocks do not display the correct time, they are not accurate. Precision refers to the consistency of other measurements, but as they are consistently slow by different amounts, they do not precisely match each other or the correct time.

In regard to the physics questions:

1. The position vs time graph of an object that is speeding up is false. A speeding-up object would have a position vs time graph that is curved, with the slope increasing over time, indicating increasing velocity.
2. The amplitude of one wave is affected by the amplitude of another wave only when they are precisely aligned is true. This phenomenon is known as constructive interference, but for waves to affect each other's amplitude, they must coincide, or be in phase, at the same point in space.
3. Superposition of waves occurs regardless of whether their frequencies are the same or different. So, it is true that waves can superimpose if their frequencies are different.
4. If a person walks 2 blocks east and 5 blocks north, and another walks 5 blocks north and then two blocks east, the displacement of both would be the same because displacement is a vector quantity dependent only on the start and end points, not on the path taken. Thus, the statement is false.

Regarding the sprinter's times with the new stopwatch:

Considering the uncertainty of ±0.05 s, we cannot conclusively say the sprinter's time improved from 12.04 seconds to 11.96 seconds due to overlapping possible ranges due to uncertainty. Both times fall within the range of each other when considering the uncertainty, meaning we cannot definitively conclude there was an improvement.

For the question about the new stopwatch:

The new stopwatch with an uncertainty of ±0.05 s would still be helpful in timing the sprint team, since the times being measured (12.49 s to 15.01 s) vary by much larger intervals than the stopwatch's uncertainty, and even the difference between 12.04 s and 12.07 s for first and second place is measurable, assuming proper usage of the stopwatch.

Lastly, the statement that a pebble dropped in water is an example of a pulse wave is true. A pulse wave is a single disturbance moving through a medium, which accurately describes the ripples created when a pebble is dropped into water.