Two 100-kg astronauts are floating in space. The first astronaut is moving at 4 m/s while the second is at rest. The astronauts collide. Both
are now moving at 2 m/s. What is the total momentum of the system.

400 kg m/s
800 kg m/s
200 kg m/s
600 kg m/s

400

Explanation:

can you help me with my question The surface of the Gilded Age was of great prosperity, while the interior was corrupt; the "gilding" or good exterior of the Gilded Age came from which of the following? A. Rebuilding the nation from the left over money from the War B. The technological advancements of the industrial revolution C. The mass movement of people from the country into the cities D. New monuments and buildings built in honor of the war heroes

1) Yes

2)

Explanation:

1)

To solve this part, we have to calculate the pressure at the depth of the batyscaphe, and compare it with the maximum pressure that it can withstand.

The pressure exerted by a column of fluid of height h is:

where

is the atmospheric pressure

is the fluid density

is the acceleration due to gravity

h is the height of the column of fluid

Here we have:

is the sea water density

h = 5440 m is the depth at which the bathyscaphe is located

Therefore, the pressure on it is

Since the maximum pressure it can withstand is 60 MPa, then yes, the bathyscaphe can withstand it.

2)

Here we want to find the force exerted on the bathyscaphe.

The relationship between force and pressure on a surface is:

where

p is hte pressure

F is the force

A is the area of the surface

Here we have:

is the pressure exerted

The bathyscaphe has a spherical surface of radius

r = 3 m

So its surface is:

Therefore, we can find the force exerted on it by re-arranging the previous equation: