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
devlian [24]
3 years ago
9

A cubical block of iron 10 cm on each side is floating on mercury in a vessel. (i) What is the height of the block above the mer

cury level (ii) Water is poured into the vessel until it just covers the iron block. What is the height of the water column?Given that density of iron is 7.2 gm/cc and density of mercury = 13.6 gm/cc
Physics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

i 5.3 cm ii. 72 cm

Explanation:

i

We know upthrust on iron = weight of mercury displaced

To balance, the weight of iron = weight of mercury displaced . So

ρ₁V₁g = ρ₂V₂g

ρ₁V₁ = ρ₂V₂ where ρ₁ = density of iron = 7.2 g/cm³ and V₁ = volume of iron = 10³ cm³ and ρ₂ = density of mercury = 13.6 g/cm³ and V₂ = volume of mercury displaced = ?

V₂ = ρ₁V₁/ρ₂ = 7.2 g/cm³ × 10³ cm³/13.6 g/cm³ = 529.4 cm³

So, the height of iron above the mercury is h = V₂/area of base iron block

= 529.4 cm³/10² cm² = 5.294 cm ≅ 5.3 cm

ρ₁V₁g = ρ₂V₂g

ii

ρ₁V₁ = ρ₃V₃ where ρ₁ = density of iron = 7.2 g/cm³ and V₁ = volume of iron = 10³ cm³ and ρ₃ = density of water = 1 g/cm³ and V₃ = volume of water displaced = ?

V₃ = ρ₁V₁/ρ₃ = 7.2 g/cm³ × 10³ cm³/1 g/cm³ =  7200 cm³

So, the height of column of water is h = V₃/area of base iron block

= 7200 cm³/10² cm² = 72 cm

You might be interested in
A cloud of interstellar gas is rotating. Because the gravitational force pulls the gas particles together, the cloud shrinks, an
Fynjy0 [20]

Answer:

Greater than

Explanation:

Here, angular momentum is conserved.

l_1\omega_1 =l_2\omega_2

When the cloud shrinks under the right conditions, a star may be formed.

Thus, Diameter of clouds are much higher than a star.

Moment of inertia of cloud is greater than the star's inertial.

so, angular velocity of the star would be greater than angular velocity of the rotating gas.

3 0
3 years ago
Read 2 more answers
Uranium-235 decays to thorium-231 with a half-life of 700 million years. When a rock was formed, it contained 6400 million urani
Dahasolnce [82]

Answer:

proof in explanation

Explanation:

First, we will calculate the number of half-lives:

n = \frac{t}{t_{1/2}}

where,

n = no. of half-lives = ?

t = total time passed = 2100 million years

t_{1/2} = half-life = 700 million years

Therefore,

n = \frac{2100\ million\ years}{700\ million\ years}\\\\n = 3

Now, we will calculate the number of uranium nuclei left (n_u):

n_u = \frac{1}{2^{n} }(total\ nuclei)\\\\n_u = \frac{1}{2^{3} }(6400\ million)\\\\n_u = \frac{1}{8}(6400\ million)\\\\n_u =  800\ million

and the rest of the uranium nuclei will become thorium nuclei (u_{th})

n_{th} = total\ nuclei - n_u\\n_{th} = 6400\ million-800\ million\\n_{th} = 5600\ million

dividing both:

\frac{n_{th}}{n_u}=\frac{5600\ million}{800\ million} \\\\n_{th} = 7n_u

<u>Hence, it is proven that after 2100 million years there are seven times more thorium nuclei than uranium nuclei in the rock.</u>

6 0
3 years ago
Which measure of an earthquake depends on how close you are to the focus?
Vsevolod [243]
<span>The intensity of an earthquake is dependent on one's proximity to the focus of the quake, also called the "epicenter" and is based on observations of the shaking of the ground on humans, structures, and the natural landscape.</span>
8 0
3 years ago
Which units are used to express kinetic energy?
labwork [276]

Answer:

The SI units for energy is Joules.

4 0
3 years ago
Read 2 more answers
Define gravitational field
MariettaO [177]
"the field of force surrounding a body of finite mass in which anotherbody would experience an attractive force that is proportional to theproduct of the masses and inversely proportional to the square of thedistance between <span>them."


</span>
4 0
3 years ago
Other questions:
  • Find the angle (above the horizontal) at which a projectile achieves its maximum range, if y=y0.
    11·1 answer
  • PLEASE HELP ME Color corresponds to the ______________ of light waves. wave speed cycles wavelength
    13·1 answer
  • When a man travel from hilly to terai what will happen to weight and why?
    9·1 answer
  • What is the amplitude of this wave? 13 cm<br> 21cm<br> 26 cm<br>42 cm​
    12·2 answers
  • a student drops an object from the top of a building which is 19.6 m high. How long does it take the object to fall to the groun
    13·2 answers
  • A team of scientists is working to determine if a meteor created a landform.
    13·1 answer
  • A metal rod with a length of 25.0 cm lies in the xy-plane and makes an angle of 37.5 ∘ with the positive x-axis and an angle of
    5·1 answer
  • What is the difference between sounds that have the same pitch and loudness?
    7·2 answers
  • Identify some sports or activities you can do to improve your overall health and explain how physical activity can improve your
    12·1 answer
  • 'Suppose your hand moves upward by 0.50m while you are throwing the ball. The ball leaves your hand with an upward velocity of 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!