Answer:
a. the density will not change
b. D' = 0.125 D
So, the density will change by a factor of 0.125
Explanation:
a.
Density is the material property and the value of density is constant for all solid materials. So, when the dimensions of the a solid are increased, while the material is same, then the material must be added to the object for increasing its dimensions. So, with the increase in the volume, the mass of the object also increases. And as a result the density of the object remains constant.
Since, here the material remains the same.
Therefore, the density will not change
b.
Density = mass/Volume
D = m/V ------------ equation (1)
Now,
V = LWH ----------- equation (2)
Now, if each dimension increases by a factor of 2, the volume becomes:
V' = (2L)(2W)(2H)
V' = 8 LWH
using equation (2)
V' = 8 V
So, for constant mass, density becomes:
D' = m/V'
D' = m/8V
using equation (1)
D' = D/8
D' = 0.125 D
So, the density will change by a factor of 0.125
(a) The density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.
(b) With constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.
What is density of object?The degree measure of the compactness of an object is known as the density of an object. Mathematically, it is expressed as the ratio of the mass of the object to its volume.
(a)
Let us consider an object of dimension 'a'. As per the above definition, the density of an object is,
[tex]\rho = \dfrac{m}{V}[/tex]
Here,
m is the mass of the object.
V is the volume of the object. And its value is, [tex]V = a^{3}[/tex].
So the density becomes,
[tex]\rho = \dfrac{m}{a^{3}}[/tex] ..............................................................(1)
Now, if the dimensions of the object is increased by a factor of 2. Then, new density becomes,
[tex]\rho' =\dfrac{m}{(2a) \times (2a) \times (2a)}\\\\\\ \rho' =\dfrac{m}{8a^{3}}\\\\[/tex]
Substitute the value of equation (1) in the above expression as,
[tex]\rho' =\dfrac{1}{8} \times \dfrac{m}{a^{3}}\\\\\rho' =\dfrac{1}{8} \times \rho[/tex]
Thus, we can conclude that the density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.
(b)
The density of the material is equal to the ratio of the mass of the object (m) and the volume of the object (V). So, if the mass remains unchanged and the dimensions increased by the factor of 2, then the result will remain same as the above part.
Thus, we can conclude that with constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.
Learn more about the density here:
https://brainly.com/question/952755
What is the horizontal component of a ball thrown at a 27 degree angle at 16 m/s?
Answer:
14.25 m/s
Explanation:
In this problem, we need to find the horizontal component of a ball thrown at a 27 degree angle at 16 m/s.
It can be given by :
[tex]v_x=v\cos\theta\\\\=16\times \cos(27)\\\\=14.25\ m/s[/tex]
So, the horizontal component of the ball is 14.25 m/s.
A block of wood is floating in a pool of water. How does the volume of water displaced by the block compare to the volume of the block?
Answer:
The volume of water displaced the same as the volume of the block.
Explanation:
With respect to the principle of floatation, when an object floats in a fluid; its weight is the same as the volume of the fluid displaced.
The volume of the block relates to is dimension and size which can be compared with the volume of the fluid displaced. When the block is floats in water, it would displace a reasonable volume of water. Thus, it would be expected that the volume of water displaced by the block is equal to the volume of the block.
Select the correct term to complete each sentence. If you the wavelength, the electromagnetic radiation energy will double. The energy of the electromagnetic radiation will if you halve the wavenumber. When the frequency of the light is doubled, its energy will
Answer:
A) If you halve the wavelength, the electromagnetic radiation energy will double.
B) The energy of the electromagnetic radiation will halve if you halve the wavenumber.
C) When the frequency of the light is doubled, its energy will double.
Explanation:
The function for the light frequency is given as
The energy supplied to each electron is doubled by halving the wavelength, nearly doubling its kinetic energy by two after it is free from the metal. It is important to remember that for a given period of time, the number of electrons ejected will remain constant.
Cheers
A double slit is illuminated simultaneously with orange light of wavelength 600 nm and light of an unknown wavelength. The m=4 bright fringe of the unknown wavelength overlaps with the m=3 fringe of the orange light. What is the unknown w
Answer:
Explanation:
distance of 4 th bright fringe of unknown light = distance of 3 rd bright fringe of orange light . Let λ be wavelength of unknown light .
4 λ D / d = 3 x 600 x D / d
4 λ = 3 x 600
λ = 450 nm .
a wooden block has a mass of 562 g and a volume of 72 cm3. what is the density
Answer:
7[tex]\frac{29}{36}[/tex]g/cm³
Explanation:
The formula for density is [tex]\frac{mass}{volume}[/tex]. Let's apply the formula to the question:
[tex]\frac{562}{72}[/tex] = 7[tex]\frac{29}{36}[/tex]g/cm³
An atomic nucleus is composed of
Answer:
84 protons and 128 neutron
How fast does water flow from a hole at the bottom of a very wide, 7.1 mm deep storage tank filled with water
Answer:
The water will move fasterExplanation:
This happens as part of the consequences of the continuity of an incompressible fluid, of which water is an example.
so as the water emerges from the wider section the flow velocity increases and vice versa.
Hence the flow velocity in indirectly proportional to the area
The continuity equation is given below for our analysis
[tex]A1V1=A2V2\\[/tex]-------------------1
where
A1= the area of the wider section of the tank
V1= the flow velocity from the wider section
A2= the area of the hole at the bottom
V2= velocity of flow at the bottom.
5 things that absorb light
Answer:
Materials that absorb sunlight well include dark surfaces, water and metal. The sun's light energy arrives as a mixture of visible light, ultraviolet and infrared; some materials absorb all these wavelengths well, while others are better suited to a certain restricted types of light.
A frog leaps with a displacement equal to vector u and then leaps with a displacement equal to vector v, as
shown below.
Answer:
The answer is B on khan academy
Explanation:
A frog leaps with a displacement equal to vector u and then leaps with a displacement equal to vector v, as shown below.
Which diagram(s) shows a valid way to find the frog's total displacement?
THE ANSWER IS IN THE ATTACHMENT!
If an 800.0 Kg sports car slows to 8.0 m/s in the forward direction to check out an accident scene and a 1200.0 kg pick-up truck behind them continues traveling at 15.0 m/s forward, with what velocity will the two move if they lock bumpers after a rear-end collision
Answer:
12.2m/sExplanation:
Step one:
given data
mass m1=800kg
velocity v1=8m/s
mass m2= 1200kg
velocity v2=15m/s
Note: the two bodies move with the same velocity after collision, hence the common velocity is v=?
Step two:
the expression for the total momentum is
m1v1+m2v2=v(m1+m2)
substituting we have
800*8+1200*15=v(800+1200)
6400+18000=v(2000)
24400=2000v
divide both sides by 2000 to find v
v=24400/2000
v=12.2m/s
Their common velocity is 12.2m/s
What is the period of revolution about the Sun for an asteroid with a semimajor axis of 3 AU in the middle of the asteroid belt?
Answer:
The period of revolution is 5.2 years.
Explanation:
The period of revolution about the Sun for an asteroid can be found using Kepler's third law:
[tex] p^{2} = a^{3} [/tex] (1)
Where:
p: is the period =?
a: is the semimajor axis (average distance from Sun) = 3 AU
By entering "a" value into equation (1) we have:
[tex] p = \sqrt{a^{3}} = \sqrt{(3)^{3}} = 5.2 y [/tex]
Therefore, the period of revolution about the Sun for an asteroid in the middle of the asteroid belt is 5.2 years.
I hope it helps you!
A penny and a quarter are embedded in the concrete bottom of a swimming pool filled with water. Which of these coins experiences the greater downward force due to water pressure acting on it? Explain.
Answer: The quarter, because it has a larger surface area.
Explanation:
remember the equation:
Pressure = Force/Area
Now, if we isolate Force, we get:
Force = Pressure*Area.
The pressure will be the same for both coins, but the area is not.
Then the one with a larger surface area will suffer a greater downward force. (We can consider the area as the area of the top or bottom of the coin)
The area of a circle of diameter d, is:
A = pi*(d/2)^2
where pi = 3.14
The penny has a diameter of 19.05 mm, then its area is:
A = 3.14*(19.05mm/2)^2 = 284.87mm^2
The quarter has a diameter of 24.26mm, then the area is:
A = 3.14*(24.26mm/2)^2 = 462 mm^2
Then the quarter has a larger area, this means that the quarter will experience the greater downward force due to water pressure.
When a skateboarder comes to a stop at the top of either side of a ramp, what happens to the potential and kinetic energy?
Answer:
potential is at maximum
kinetic energy is zero
what is the acceleration of a 5kg object pushed by 50 n
Answer:
i think it is 10m/s^2
force divide by mass
HELPPP MEEE PLEADEEEE How could a cow have more momentum than a tiger ? Explain
Answer:
If a cow has a greater mass than the tiger, it has greater momentum, but only if they are moving at the same speed, or the tiger is going slower (i think)
Explanation:
the quantity of motion of a moving body, measured as a product of its mass and velocity.
the wavelength produce by a shallow water body is 200mm. If the refractive index is 0.5. calculate the wavelength in deep water
Answer:
400mm
Explanation:
Refractive index is the ratio of the wavelength in the shallow water to that in deep water.
Refractive index = λs/λd
Given
Refractive index = 0.5
λs = 200mm
Required
0.5 = 200/λd
λd = 200/0.5
λd = 400mm
Hence the wavelength in deep water is 400mm
A motobike's tire rotates with a constant angular speed of 62.8 rad/s. The radius of a tire is 30cm. Assuming that no slipping occurs, the linear speed at a
point 20 cm from the tire's center is:
Chọn một:
a.
10 m/s
b.
20 m/s
C.
18.8 m/s
d.
12.6 m/s
Answer:
12.6 m/s
Explanation:
We know that the linear speed v = rω where r = radius and ω = angular acceleration. Given that ω = 62.8 rad/s and r = 20 cm from center = 0.2 cm
So, v = rω
= 0.2 m × 62.8 rad/s
= 12.56 m/s
≅12.6 m/s
The total initial energy of a closed system is 1020 J. During an experiment, 500 J of this energy is converted into kinetic energy. What is the total final energy of this closed system?
A. 1520 J
B. 520 J
C. 500 J
D. 1020 J
Answer:
D. 1020 J
Explanation:
In a closed system the law of conservation of energy is prevalent.
According to the law of conservation of energy "energy is neither created nor destroyed but transformed from one form to another".
The starting and ending amount of energy must be the same. If the system starts with 1020J, then it must end with 1020J All the energy transformations will add up to 1020J for the final state.What is energy?
Question 1 options:
force × distance
force
chemical change
the ability to do work
Answer:
The ability to do work
Explanation:
Energy can be defined as the ability to do work. We apply energy in basically everything we do in life, energy is needed to walk or move from one position to another, it is required to eat and do other basic things of life. The body system converts the food that is being consumed into energy, this energy can be switched from one form to another.
There are various forms of energy which include solar energy , wind energy, electrical energy, mechanical energy, kinetic energy, potential energy etc. This forms of energy can be converted from one form to anothe but cannot be destroyed.
Answer:
ability to work
Explanation:
5. A 2-Me V neutron traveling in water has a head-on collision with an 160 nucleus. (a) What are the energies of the neutron and nucleus after the collision
Answer:
- Final energy of neutron is 1.557 Mev
- Final energy of nucleus is 0.443 Mev
Explanation:
Given the that;
for ¹⁶O, A = 16
we know that Energy of neutron and nucleus after collision = ( A - 1 / A + 1)² E₀
so we substitute
Fe = ( 16 - 1 / 16 + 1)² × 2
= (0.8823)² × 2
= 1.557 Mev
therefore Final energy of neutron is 1.557 Mev
Final energy of nucleus will be
2 - Final energy of neutron
= 2 - 1.5569
= 0.443 Mev
therefore Final energy of nucleus is 0.443 Mev
what is an Electrical transformer?
Answer:
A transformer is a passive electrical device that transfers electrical energy from one electrical circuit to another, or multiple circuits.
Explanation:
Hope it helps
Answer:
A transformer with eletric abilities.
Explanation:
Which best describes the law of conservation of mass? The coefficients in front of the chemicals in the reactants should be based on the physical state of the products. Products in the form of gases are not considered a part of the total mass change from reactants to products. When reactants contain both a solid and a liquid, the solid counts toward the overall mass and the liquid does not. O The mass of the reactants and products is equal and is not dependent on the physical state of the substances.
Answer:
Explanation:
1. when both sides of the reactants and the products are equal
like h+oh ⇒ h20
hydrogen has 2 atoms on both sides and oxygen has one on both sides
2. no they are put to balance the equation
3. nope they are treated equally as all the other states
4. no if u are talking about a formula unit like NaCl for example it is aqueous not each element taken on its own if u are talking about just elements then i said before all states are treated equally
5. yup
Mechanical energy appears in the form of _____ energy and _____ energy.
Answer:
Potential and kinetic
Explanation:
If you are doing ck12 this is the answer
If each of the three rotor helicopter blades is 3.50 m long and has a mass of 120 kg , calculate the moment of inertia of the three rotor blades about the axis of rotation.
Answer:
1470kgm²
Explanation:
The formula for expressing the moment of inertial is expressed as;
I = 1/3mr²
m is the mass of the body
r is the radius
Since there are three rotor blades, the moment of inertia will be;
I = 3(1/3mr²)
I = mr²
Given
m = 120kg
r = 3.50m
Required
Moment of inertia
Substitute the given values and get I
I = 120(3.50)²
I = 120(12.25)
I = 1470kgm²
Hence the moment of inertial of the three rotor blades about the axis of rotation is 1470kgm²
why it is important to take care of our body?
Answer:
You need to care for the body to stay fit, healthy and clean.
The shortest wavelength of visible light is approximately 400 nm express the wavelength in centimeters
Answer:
4x [tex]10^{-5}[/tex] cm
Explanation:
400nm = 400 x [tex]10^{-9}[/tex] m
1m = 100 cm
400 x [tex]10^{-9}[/tex] m = 400 x [tex]10^{-9}[/tex] x 100 cm
ans : wavelength of light = 4x [tex]10^{-5}[/tex] cm
Answer:
[tex]4 * 10^{5}[/tex]
Explanation:
[tex]1c m = 1*10^-{7}nm[/tex]
Electromagnetic waves is what type of energy
Answer:
Energy waves that have both an electric and magnetic field.
Explanation:
A bug crawled 35 meters in 20 seconds. What was the bugs velocity ?
(EXPLAIN)
An object has a kinetic energy Ek. What happens to the kinetic energy if we:
(a) double m?
(b) triple v?
A 180-kg load is hung on a wire of length of 4.70 m, cross-sectional area 2.000 10-5 m2, and Young's modulus 8.00 1010 N/m2. What is its increase in length?
i saw it online once but i cant find it so i would look this up on maybe quizlet i use it a lot and it helps