1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kherson [118]
3 years ago
13

You have an evacuated, iron spherical shell and want to know how thick the shell wall is. However, you cannot cut open the iron

shell to measure the thickness of the wall. The ball just floats once completely submerged in water, and you measure the outer diameter to be 58.7 cm. If the density of iron is 7.87 g/cm3, what is the thickness of the wall?
Physics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

26 cm

Explanation:

V = Volume

R = Outer radius of the shell = 58.7 cm

r = Inner radius of the shell

g = Acceleration due to gravity = 9.81 m/s²

\rho = Density

As the shell is completely submerged

Force on shell

F=v\rho g\\\Rightarrow F=\frac{4}{3}\pi R^3\times 1000g

Weight of the shell

W=\frac{4}{3}\pi (R^3-r^3)\times 7870g

Equating the two equations as the forces are conserved

\frac{4}{3}\pi R^3\times 1000g=\frac{4}{3}\pi (R^3-r^3)\times 7870g\\\Rightarrow R^3\times 1000=(R^3-r^3)\times 7870\\\Rightarrow R^3=(R^3-r^3)\frac{7870}{1000}\\\Rightarrow R^3=(R^3-r^3)7.87\\\Rightarrow 6.87R^3=r^37.87\\\Rightarrow r=\left(\frac{6.87}{7.87}\times0.587^3\right )^{\frac{1}{3}}\\\Rightarrow r=0.561\ m

Inner radius of the shell is 0.561 m

The thickness of the wall is 0.587-0.561 = 0.026 m = 26 cm

You might be interested in
The acceleration of a particle is given by ax(t) = -(2.00 m/s2) + (2.70 m/s3)t. (a) find the initial velocity v0x, such that the
Alexeev081 [22]
I’ll solve them right now just wait a few
3 0
3 years ago
A 5 N force pushes on the right side of a box. At the same time, a 10 N force pushes on the left side of the box. What happens t
notka56 [123]
The resultant force is 5N.So the box moves to right with constant acceleration.
8 0
3 years ago
Read 2 more answers
The sunspot cycle is a pattern of solar activity where the average number of sunspots gradually _______________________________
zzz [600]

Answer:

option D

Explanation:

Sunspots are the spot that appears on the sun, this spot appears darker than the surrounding surface of the sun.

Sun magnetic field goes through a cycle and this cycle is called the Sunspot cycle. Every 11 years the magnetic field of the sun completely flips. This sunspot cycle affects activity on the surface of the sun.

Sunspot cycle is the pattern of solar activity where an average number of sunspot gradually increase and decrease.

Hence, the correct answer is option D

8 0
3 years ago
What changes a ball velocity
Grace [21]

Answer/Explanation: Speed and direction can change with time. When you throw a ball into the air, it leaves your hand at a certain speed. As the ball rises, it slows down. Then, as the ball falls back toward the ground, it speeds up again. When the ball hits the ground, its direction of motion changes and it bounces back up into the air.

5 0
3 years ago
If an airplane traveled 1800 km in 2 hours<br> what is its average speed
Vesnalui [34]

Answer:

900km h

Explanation:

duh

8 0
2 years ago
Other questions:
  • Minerals must be _____.
    8·2 answers
  • What is the minimum thickness of coating which should be placed on a lens in order to minimize reflection of 566 nm light? The i
    10·1 answer
  • If a bird applies a 5 N upward force on a branch to lift the branch of ground to a
    11·1 answer
  • Which of the following statements best states Newton's second law?
    12·1 answer
  • A disk and a hoop roll without slipping down the incline plane, starting from rest at height h=0.55m above the level surface. Us
    14·1 answer
  • Joy uses 20n of force to shovel the snow 10 meters. how much work does she do?
    7·1 answer
  • List four conditions that may result in the emission of electrons from a conductor
    7·2 answers
  • Vector ⃑ has a magnitude of 9.0 m and points 40° east of north. Vector ሬ⃑ has a magnitude of 15.0 m and points 30° north of west
    8·1 answer
  • g In a certain underdamped RLC circuit, the voltage across the capacitor decreases in one cycle from 5.0 V to 3.8 V. The period
    12·1 answer
  • What is the function of a diaphragm in a camera?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!