If it's volume changes when you move it to the new container it would be a solid
Answer:
ρ₀ = 3λ/(2πR⁴)
Explanation:
If we take an elemental part of the cross sectional Area of the infinitely long cylinder.
The small elemental part has a small length dr in the cylinder's radial direction such that the cross sectional Area of the elemental part = 2πr dr
The linear density over the entire radial length of the cylinder will be equal to the sum of (volume charge density × elemental cross sectional Area)
That is,
λ = Σ ρ₀rR × 2πr dr
summing from 0 to R
λ = ∫ᴿ₀ (ρ₀rR × 2πr) dr
λ = ∫ᴿ₀ ρ₀R × 2πr² dr
λ = [ρ₀R × 2πr³/3 ]ᴿ₀
λ = (2π ρ₀R/3) [ r³ ]ᴿ₀
λ = (2π ρ₀R/3) [ R³ ]
λ = 2π ρ₀R⁴/3
ρ₀ = 3λ/(2πR⁴)
<span>Gvn that,
Radius r = 1.65cm
then the Diameter d = 3.3 cm
Volume V = 4/3pi*(D/3)^3
= 4/3*3.14*(3.3)^3/8
= 4/3*3.14*35.937/8
= 4/3*3.14*4.492125
= 4/3*14.1052725
= 56.421.9/3
= 18.80703 dm^3
We know that gravity g=9.806m/s^2
p pt = 2.14 * 104 kg/m^3 = 21.4
p hg = 1.36 * 104 kg/m^3 = 13.6
Real Weight Wr = V*p pt*g
= 18.80703*21.4*9.806
= 3946.625 N
Buoyant force Fb= V*p hg*g
= 18.80703*13.6*9.806
= 2508.136 N
Apparent weight = Wr-Fb
= 3946.625-2508.136
= 1438.489 N
Therefore Apparent weight is 1438.489 N</span>
Answer:
Explanation:
1.Technology is an application of science through use of modern scientific tools.
2.They provide a concrete view of something abstract. They are also applicable to gain an understanding of better process and systems.
3.C.55.25s
4. A. straight line graph.
5. A. Milk. A pure substance consist of a single element or compound.
6.B. it has two hydrogen atom to one oxygen atom
7.B. Sugar water.
8.D.Size of their particles.
9.A.sawing a piece of wood into half.
10.A..iron changes colour when heated.
11.A.solid
12.A. Lowering the temperature, which lead to increase in gas volume according to. Boyle's law.
13.C. boiling point of naphthalene.
14.freezing,which is the mostly orderly point of water because water moves from liquid to solid state.
15.A.sublimation.
16.B.Vaporisation.
17.C.it is described by a nucleus surrounded by a large volume is space.
18. The atom in the excited state has more energy and is less stable than atom in the ground state.
19.The discovery of elements with predicted properties.
20.The sum total of mass of an element.
Answer: 2.86 m
Explanation:
To solve this question, we will use the law of conservation of kinetic and potential energy, which is given by the equation,
ΔPE(i) + ΔKE(i) = ΔPE(f) + ΔKE(f)
In this question, it is safe to say there is no kinetic energy in the initial state, and neither is there potential energy in the end, so we have
mgh + 0 = 0 + KE(f)
To calculate the final kinetic energy, we must consider the energy contributed by the Inertia, so that we then have
mgh = 1/2mv² + 1/2Iw²
To get the inertia of the bodies, we use the formula
I = [m(R1² + R2²) / 2]
I = [2(0.2² + 0.1²) / 2]
I = 0.04 + 0.01
I = 0.05 kgm²
Also, the angular velocity is given by
w = v / R2
w = 4 / (1/5)
w = 20 rad/s
If we then substitute these values in the equation we have,
0.5 * 9.8 * h = (1/2 * 0.5 * 4²) + (1/2 * 0.05 * 20²)
4.9h = 4 + 10
4.9h = 14
h = 14 / 4.9
h = 2.86 m