Question

1. На озері в тиху погоду з човна кинули м'яч. Людина на березі побачила, що хвиля дійшла до нього через 40 с, відстань між сусідніми гребенями хвиль 50 см і за 10 см'яч 4 рази здійснив коливання на хвилях. На якій відстані від берега знаходився човен?

Answer 1

Ответ:

l= 8 м

Объяснение:

Т=40 с

λ=0,5 м

t=10 с

n=4

l ?

V= n*λ/ t=4*0,5/10=0,2 м/с  

l= V*Т=0,2*40=8 м

Answer 2

Problem Analysis

We are given the following information: - A ball was thrown from a boat on a calm lake. - A person on the shore observed that the wave reached them after 40 seconds. - The distance between adjacent wave crests is 50 cm. - The ball made 4 oscillations on the waves in 10 seconds.

We need to determine the distance of the boat from the shore.

Solution

To solve this problem, we can use the relationship between the speed, wavelength, and frequency of a wave.

The speed of a wave can be calculated using the formula:

Speed = Wavelength x Frequency

In this case, the frequency can be calculated as the number of oscillations made by the ball divided by the time taken to make those oscillations.

Let's calculate the frequency first:

Frequency = Number of oscillations / Time taken

Given that the ball made 4 oscillations in 10 seconds, the frequency can be calculated as:

Frequency = 4 / 10 = 0.4 Hz

Now, we can calculate the speed of the wave:

Speed = Wavelength x Frequency

We are given that the distance between adjacent wave crests is 50 cm, which is equivalent to 0.5 meters. Let's substitute the values:

Speed = 0.5 x 0.4 = 0.2 m/s

Since the wave took 40 seconds to reach the shore, we can calculate the distance using the formula:

Distance = Speed x Time

Substituting the values:

Distance = 0.2 x 40 = 8 meters

Therefore, the boat was located 8 meters from the shore.

Conclusion

The boat was located approximately 8 meters from the shore.