PHYSICS MIDDLE SCHOOL

James Cameron piloted a submersible craft to the bottom of the Challenger Deep, the deepest point on the ocean's floor, 11,000 m below the surface. What was the total inward force on the 1.1-m-diameter pilot sphere in which Cameron sat?

Answers

Answer 1
Answer:

Answer:

4.1\cdot 10^8 N

Explanation:

First of all, we need to find the pressure exerted on the sphere, which is given by:

p=p_0 + \rho g h

where

p_0 =1.01\cdot 10^5 Pa is the atmospheric pressure

\rho = 1000 kg/m^3 is the water density

g=9.8 m/s^2 is the gravitational acceleration

h=11,000 m is the depth

Substituting,

p=1.01\cdot 10^5 Pa + (1000 kg/m^3)(9.8 m/s^2)(11,000 m)=1.08\cdot 10^8 Pa

The radius of the sphere is r = d/2= 1.1 m/2= 0.55 m

So the total area of the sphere is

A=4 \pi r^2 = 4 \pi (0.55 m)^2=3.8 m^2

And so, the inward force exerted on it is

F=pA=(1.08\cdot 10^8 Pa)(3.8 m^2)=4.1\cdot 10^8 N
Answer 2
Answer:

The total inward force is about 4.1 × 10⁸ N

\texttt{ }

Further explanation

Let's recall Hydrostatic Pressure formula as follows:

\boxed{ P = \rho g h}

where:

P = hydrosatic pressure ( Pa )

ρ = density of  fluid ( kg/m³ )

g = gravitational acceleration ( m/s² )

h = height of a column of liquid ( m )

Let us now tackle the problem!

\texttt{ }

Given:

depth of the ocean's floor = h = 11 000 m

diameter pilot sphere = d = 1.1 m

atmospheric pressure = Po = 10⁵ Pa

Asked:

total inward force = F = ?

Solution:

F = P A

F = ( P_o + \rho g h ) A

F = ( P_o + \rho g h ) ( \pi d^2 ) → Area of Sphere = π d²

F = ( 10^5 + 1000 * 9.8 * 11000 ) ( \pi * 1.1^2 )

F \approx 4.1 * 10^8 \texttt{ Newton}

\texttt{ }

Conclusion:

The total inward force is about 4.1 × 10⁸ N

\texttt{ }

Learn more

\texttt{ }

Answer details

Grade: High School

Subject: Physics

Chapter: Pressure

Related Questions

Suppose you increase your walking speed from 6 m/s to 11 m/s in a period of 2 s. What is your acceleration?
Physical properties of minerals graphic organizer
A gasoline engine operates at a temperature of 270°C and exhausts at 210°C. Calculate the maximum efficiency of this engine. (Note that the Celsius scale is used.)89.0 %88.0 %12.0 %11.0 %
If a man has a made of 83 kilograms on earth, what will the force of gravity on his body on the moon
The small piston in a hydraulic system has a cross-sectional area of 0.5 m2, and the large piston has an area of 3m3. What is the force exerted by the large piston if a force of 500 N is exerted on the small piston?

The slope on a distance-time graph shows a ball moving from 20 m to 40 m in 1 s and from 40 m to 80 m in the next second

Answers

Slope in the first second: 20 m/s

Slope in the next second: 40 m/s

Average slope: 30 m/s

Explanation:

On a distance-time graph, the slope of the curve represents the speed of the object.

In fact, we have:

  • The distance covered is the change in the y-variable, so \Delta y
  • The time elapsed is the change in the x-variable, so \Delta x

Speed is the ratio between distance and time, therefore

speed = (distance)/(time)=(\Delta y)/(\Delta x)

which corresponds to the slope of the line.

In this problem, we have a ball moving from 20 m to 40 m in 1 s, so

distance = 40-20 = 20 m = \Delta y

time = 1 s = \Delta x

So the slope in the first second is

(\Delta y)/(\Delta x)=(20)/(1)=20 m/s

In the next second, the ball moves from 40 m to 80 m, so

distance = 80-40 = 40 m = \Delta y

time = 1 s = \Delta x

So the slope in the next second is

(\Delta y)/(\Delta x)=(40)/(1)=40 m/s

While if we consider the overall graph in the 2 seconds, we have

distance = 80-20 = 60 m = \Delta y

time = 2 s = \Delta x

So the average slope is

(\Delta y)/(\Delta x)=(60)/(2)=30 m/s

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

if i cut a body in half, after the application of heat to a body what will be the resultant temperature of the two halves

Answers

The temperature of both the halves of the body remain same and thus the body  remain in thermal equilibrium.

Both the parts of the body even after being in contact with each other will not transfer heat and thus maintain equal temperature and the resultant of the two will be zero.

The resultant temperature of the two halves will be same as the temperature of the body before cutting them into two.

Explanation:

As the body of heated between cutting it into two halves, so the temperature of the body will be same even after cutting them into two halves. This can be confirmed from zeroth law of thermodynamics.

As the heat is stored in the form of temperature of the body when heated. The after cutting it into two halves, the temperature will be remained same as temperature does not depend on the mass of the object once the heating process is completed.

The temperature would have varied if the two halves were heated again but in this case after heat process is completed, the body is divided. This leads to no change in temperature of the two halves.

C is wrong ( currently failing ) Please Help

Answers

The answer has the be the fourth option "the object is not accelerating." By looking at the graph you would see the the velocity is constant meaning it staying the same and its not increasing or decreasing which takes out the first, second, and third option. So, since how the velocity is not increasing the object is not accelerating or the fourth option.

Hope this helps!

sense the time shown is increasing but the velocity is neither increasing or decreasing then the answer would have to be D.

Can lunar eclipses only be found in the fall?

Answers

A solar eclipse or lunar eclipse can occur at any moment of any day of the year.

Which way does the friction arrow in an FBD for a moving object point?in the direction of motion

opposite to the net force

left

opposite to motion

Answers

The friction arrow in an FBD for a moving object point is in opposite way to motion. Because friction always works in the opposite direction of the motion of the object.

Answer: Option D

Explanation:

When two object come into contact, the contact force come into play. Now, one component of the contact force i.e. the normal forces act perpendicularly at the direction of motion. Whereas, the frictional forces always acts parallel at the direction of the force acting on the object but in the opposite way.  

For example, if we slide a book on the table to the right hand side, the exact equal and opposite frictional force will induce in the opposite direction, tempting to reduce the motion.

What instrument use lenses or mirrors to collect and focus light from distant objects?

Answers

Optical telescopes do that.
I believe that would be a telescope. not 100% on that but it makes sense to me. 
Other Questions
What is the normal acceleration of a car?
A newspaper turns yellow in sunlight. Is this a physical or chemical change?
Who knows the egg drop challenge
Who is Gregor Mendel? What type of organism did he study? What did he learn that helped us understand genetics?