A 68 kg hiker walks at 5.0 km/h up a 9% slope. The indicated incline is the ratio of the vertical distance and the horizontal di

Answer:

Responses to the 3.17 punchline varied among many individuals, with some suggesting that it was a "full" moon day which prevented the astronauts from landing.

Others claimed that the astronauts took off during daylight hours when the moon was not visible. There were also comments that indicated that 'astro' refers to stars rather than satellites, explaining why they did not land.

A few even noted that 'astro naut' sounds like 'naught,' meaning zero (0), as a possible reason for their failure to land.

Response:

 y_red / y_blue = 1.11

Clarification:

To determine the image for each wavelength, we'll utilize the lens maker's equation

         1 /f = 1 /o + 1 /i

Where f signifies the focal length, o represents the object distance, and i indicates the image distance

For red light

           1 / i = 1 / f - 1 / o

           1 / i_red = 1 / f_red - 1 / o

           1 / i_red = 1 / 19.57 - 1/30

           1 / i_red = 1.776 10-2

           i_red = 56.29 cm

For blue light

            1 / i_blue = 1 / f_blue - 1 / o

            1 / i_blue = 1 / 18.87 - 1/30

            1 / i_blue = 1.966 10-2

            i_blue = 50.863 cm

Next, we will compute the magnification ratio

             m = y ’/ h = - i / o

             y ’= - h i / o

For red light

            y_red ’= - 5 56.29 / 30

            y_red ’= - 9.3816 cm

For blue light

            y_blue ’= 5 50.863 / 30

            y_blue ’= - 8.47716 cm

The ratio of the heights of both images is

            y_red ’/ y_blue’ = 9.3816 / 8.47716

            y_red / y_blue = 1.107

            y_red / y_blue = 1.11