The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].
Given the following data:
Mass of sphere = 7 kg.
Radius of sphere = 0.4 meter.
How to calculate moment of inertia.Mathematically, the moment of inertia of a solid sphere is given by this formula:
[tex]I=\frac{2}{5} mr^2[/tex]
Where:
I is the moment of inertia.m is the mass.r is the radius.Substituting the given parameters into the formula, we have;
[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]
I = 0.448 [tex]kgm^2[/tex].
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What is stated in the 1st Law of Motion?
Answer:
Newton's first law: the law of inertia
Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Explanation:
Anything aka if a body is at constant speed in a straight line it would probably remain or keep moving in a straight line unless something slows it down like Fricton.
A regulation 145 g baseball can be hit at speeds of 100 mph. If a line drive is hit essentially horizontally at this speed and is caught by a 65 kg player who has leapt directly upward into the air, what
horizontal speed does he acquire by catching the ball?
This question involves the concept of the law of conservation of momentum.
The horizontal speed acquired by catching the ball will be "0.223 mph".
Law of Conservation of MomentumAccording to the law of conservation of momentum applied in horizontal direction:
Total Initial Momentum = Total Final Momentum
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
where,
m₁ = mass of baseball = 145 g = 0.145 kgm₂ = mass of player = 65 kgu₁ = initial horizontal speed of baseball = 100 mphu₂ = initial horizontal speed of player = 0 mphv₁ = final horizontal speed of baseball = 0 mphv₂ = final horizontal speed of player = ?Therefore,
[tex](0.145\ kg)(100\ mph)+(65\ kg)(0\ mph)=(0.145\ kg)(0\ mph)+(65\ kg)(v_2)\\\\v_2=\frac{14.5\ kg.mph}{65\ kg}\\\\[/tex]
v₂ = 0.223 mph
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This is less an answer more like the answers that should be it.
A) 9.9 cm/s
B) 5.6 cm/s
C) 11.8 cm/s
D) 4.2 cm/s
Should the kinetic coefficient of friction and the static coefficient change with a different mass
Explanation:
No. Surface contact area also no. The main issue is the types of materials in contact. Surface roughness somewhat matters. Certain surfaces such as ice are special in that pressure melts the ice.
How long does it take for jupiter to rotate on its axis.
Answer:
10 hours.
Every 10 hours, Jupiter will rotate at least once. It takes 12 years for Jupiter to make a revolution. This is because Jupiter is a gas, non-solid planet and also has a very large mass.
Answer: 10 Hours
Explanation:
Jupiter is the fastest spinning planet in the solar system
When do humans store fat molecules in their bodies? (1 pt. ) *
1. Humans store fat molecules every time they eat anything that contains Calories.
2. Humans store fat molecules when they eat food with a lot of fat.
3. Humans store fat molecules when they eat junk food.
4. Humans store fat molecules when they eat more Calories than they need.
In a pendulum, a continuous change occurs between kinetic and
potential
electromagnetic
thermal
mechanical
[tex] \sf \qquad \qquad \huge \underbrace{єхplαnαtiσn}[/tex]
The correct choice is ❝ A ❞
❖ whєn wє tαlk αвσut α pєndulum, ít gσєѕ thrσugh ❝ tσ αnd frσ ❞ mσtíσn, αlѕσ knσwn αѕ hαrmσníc mσtíσn. αѕ вєíng ín thє cαѕє σf α pєndulum, thєrє'ѕ α cσntínuσuѕ chαngє ín kínєtíc αnd pσtєntíαl єnєrgч.
❖ whєn thє вσв íѕ αt mєαn pσѕítíσn, ít hαѕ ítѕ mαхímum vєlσcítч, αnd thє nєt fσrcє αnd αccєlєrαtíσn αctíng σn ít íѕ zєrσ, thєrєfσrє ít hαѕ mαхímum kínєtíc єnєrgч αt thαt pαrtículαr ínѕtαnt.
❖ whєrє αѕ, íf thє вσв íѕ αt σnє σf thє єхtrєmє pσѕítíσnѕ, ítѕ vєlσcítч вєcσmєѕ zєrσ, αnd thє αccєlєrαtíσn αnd fσrcє αctíng σn ít íѕ mαхímum, ѕímcє ít hαѕ nσ vєlσcítч, thєrєfσrє ít hαѕ nσ kínєtíc єnєrgч αt thαt ínѕtαnt, thє σnlч єnєrgч ít hαѕ αt thαt tímє íѕ pσtєntíαl єnєrgч.
❖ ѕíncє thє mσvєmєnt íѕ cσntínuσuѕ, cσntínuσuѕ chαngє ín єnєrgч σccurѕ, вut thє ѕum σf вσth thє єnєgíєѕ rєmαínѕ cσnѕtαnt αt єvєrч ínѕtαnt.
[tex]\qquad \qquad\huge \dag\normalsize\sf \boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
A hockey puck of mass 150 g is sliding south along the ice and slows at a rate of 1.2m/s2. What is the net force acting on the puck?
Answer: another force on puck?
Force is a vector quantity characterized by the rate of change of momentum.
Mathematically, it is the product of mass and acceleration.
F = m × a
=> F = (150/1000) × (-1.2)
=> F = -0.18 kg m/s²
=> F = -0.18 N
Amber is a
(a) metal
(b) rubber
(c) resin
(d) sugar
Answer:
c. Resin.
Explanation:
Amber is a resin.
Which claim do scientists use to describe electromagnetic radiation?
(1 point)
Electromagnetic radiation exhibits properties of particles only.
Electromagnetic radiation exhibits properties of both particles and waves.
Electromagnetic radiation doesn't exhibit properties of either particles or waves.
Electromagnetic radiation exhibits properties of waves only.
Answer:c
Explanation: I took the identifying claims quick check and the answers are 1.yes it can be 2. No because it is an opinion 3.claims 4.it is prediction 5.both particles and waves 6.a wave model is most useful
Scientists use to describe electromagnetic radiation as It exhibits properties of both particles and waves. The correct option is B.
What is an electromagnetic wave?An electromagnetic wave is a type of wave that consists of oscillating electric and magnetic fields that travel through space at the speed of light.
Electromagnetic waves are produced by the movement of charged particles and are characterized by their frequency, wavelength, and amplitude.
Electromagnetic waves include a wide range of frequencies, which together form the electromagnetic spectrum. The spectrum includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each of these types of electromagnetic waves has a different frequency and wavelength, which determines its properties and how it interacts with matter.
Here in the question,
Scientists describe electromagnetic radiation as exhibiting properties of both particles and waves.
This is known as the wave-particle duality of electromagnetic radiation, which means that electromagnetic radiation can exhibit both wave-like and particle-like behavior depending on how it is observed or measured.
The wave-like behavior is described by its frequency, wavelength, and amplitude, while the particle-like behavior is described by its energy, momentum, and photons.
Therefore, The electromagnetic wave shows duality i.e both particle and wave properties.
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Why do you only see one side of the moon? Lesson 3. 05 Question 12 options:
A:The moon only has one side
B:The rotational period is greater than to the period of revolution for the moon
C: The rotational period is equal to the period of revolution for the moon
D:The rotational period is less than the period of revolution for the moon
Answer:
The Moon orbits Earth once every 27.3 days and spins on its axis once every 27.3 days. This means that although the Moon is rotating, it always keeps one face toward us. Known as “synchronous rotation,” this is why we only ever see the Moon's nearside from Earth.
I hope this helps you out
Why is it important to regulate temperatures in mammals
Answer:
If the body temperature falls below this temperature then enzymes will work too slowly for body process to occur fast enough the keep the mammal alive.
Explanation:
A brass ring of diameter 10. 00 cm at 14. 3°c is heated and slipped over an aluminum rod of diameter 10. 01 cm at 14. 3°c. Assume the average coefficients of linear expansion are constant
Temperature for combination be cooled to separate the brass ring of diameter 10.00 cm at 14.3°c and an aluminum rod of diameter 10.01 cm at 14.3°c is -204.7° C, which is not attainable.
What is linear expansion?The linear expansion is the expansions of metal when they are heated and their length is changed along one direction.
A brass ring of diameter 10. 00 cm at 14. 3°c is heated and slipped over an aluminum rod of diameter 10. 01 cm at 14. 3°c. Assume the average coefficients of linear expansion are constant
(a) To what temperature must the combination be cooled to separate the two metals?
To find the temperature, use the following formula,
[tex]T=T_o+\dfrac{d_o^A-d_o^B}{\alpha _Ad_o^A-\alpha _Ad_o^B}[/tex]
Put the values,
[tex]T=14.3+\dfrac{10.01-10}{(19\times10^{-6})(10.01)-(24\times10^{-6})(10)}\\T=-204.7^o C[/tex]
Thus, temperature for combination be cooled to separate the brass ring of diameter 10.00 cm at 14.3°c and an aluminum rod of diameter 10.01 cm at 14.3°c is -204.7° C, which is not attainable.
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why is the freezing compartment kept at top in a refrigerator?
Answer:
Because Geography says the higher one goes the colder it gets
Answer:
The nature of convection.
Explanation:
Warm air rises; cold air falls, so the freezer at the top provides cold air for the other compartments at the bottom.
It is diffult to measure the volume of gas.Why?
Answer:
The volume of a gas is dependent on pressure and temperature.
Explanation:
Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.
:-befrank
What would happen to the particles in this box if it lost heat energy?
the particles would slow down and become less dense
the particles would slow down and become denser.
The particles would speed up and become denser
the particles inside of the box would evaporate
Answer:
A
Explanation:
i think its A
Give two examples that provide evidence for the presence of terrestrial magnetism?
Explanation:
When a magnetic body is buried inside the earth in North-South direction, it gets magnetized due to the effect of terrestrial magnetism. A freely suspended magnet faces North-South direction.
A metal spoon was placed in a dish of ice cream and became cool. Which correctly describes the heat transfer process that resulted in the cooling of the spoon?.
Answer:
The heat went from the i cream to the spoon making it cool.
Explanation:
i just know.
Does the electric potential energy increase, decrease, or stay the same? explain.
Answer:
Yes. To maintain constant total energy, when released from rest the charge loses potential energy as it gains kinetic energy in its "fall" toward the negative plate.
Explanation:
Answer:
Yes. Left. To maintain constant total energy, when released from rest the charge loses potential energy as it gains kinetic energy in its "fall" toward the negative plate.
The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?
300 N right
100 N down
0 N up
200 N right
Answer:
200 N Right
Explanation:
The 50 up and 50 down balance or 'cancel' each other
then you only have the 200 N to the right
a measuring cylinder has a mass of 180g when empty. When a liquid is poured into the cylinder, the level rises to the 95m³ mark. Total mass is now 292g. What is the density of the of the liquid in g/cm³
Answer:
d (density) = m / V = (292 - 180) g / 95 cm^3 = 1.18 g / cm^3
(water is 1 gm / cm^3)
2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred from the metal pan to the eggs by radiation in this image? Why or why not?
Answer:
No, the eggs are in direct contact with the metal pan, which is in direct contact with the gas flame, so this is conduction, not radiation
Reasons:
-Thermal energy is being transferred by conduction.
-Radiation transfers thermal energy by electromagnetic waves.
-Radiation does not transfer thermal energy by direct contact.
Radiation heat transfer is a process where heatwaves are emitted that may be absorbed, reflected, or transmitted through a colder "body". Sun heats the earth by electromagnetic waves. The sun does not come in physical contact with the Earth to transfer heat. (In my opinion, the Earth touching the sun would not be on my to-do list.)
Explanation:
Have a great rest of your day
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Determine the slope of end a of the cantilevered beam. E = 200 gpa and i = 65. 0(106) mm4
For E = 200 gpa and i = 65. 0(106) mm4, the slope of end a of the cantilevered beam is mathematically given as
A=0.0048rads
What is the slope of end a of the cantilevered beam?Generally, the equation for the is mathematically given as
[tex]A=\frac{PL^2}{2EI}+\frac{ML}{EI}[/tex]
Therefore
A=\frac{10+10^2+3^2}{2*240*10^9*65*10^6}+\frac{10+10^3*3}{240*10^9*65*10^{-6}}
A=0.00288+0.00192=0.0048rads
A=0.0048rads
In conclusion, the slope is
A=0.0048rads
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The value of slope of end a of the cantilevered beam when E = 200 gpa and i = 65. 0(106) mm4 is 0.0048 rads.
How to find the slope at the end of the cantilevered beam?The formula used to find the slope at the end of the cantilevered beam is,
[tex]A=\dfrac{PL^2}{2EI}+\dfrac{ML}{EI}[/tex]
Here, (M) is the momentum, (EI) is flexural rigidity, (P) is concentrated load and (L) is the length of the beam.
Concentrated load is 10 KN and uniform load is 3 kN/m. E = 200 gpa and i = 65. 0(106) mm4.
[tex]A=\dfrac{10+10^2+3^2}{2\times240\times10^9\times65\times10^6}+\dfrac{10+10^3\times3}{240\times10^9\times65\times10^{-6}}\\A=0.00288+0.00192A=0.0048 \rm\; rads[/tex]
Thus, the value of slope of end a of the cantilevered beam when E = 200 gpa and i = 65. 0(106) mm4 is 0.0048 rads.
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how many joules are there in 200kj
Answer:
200,000 joules <3
Explanation:
just accept it
Answer:
[tex]2.00 * 10^5J[/tex]
Explanation:
Make use of your conversion factors:
[tex]200KJ * \frac{1000J}{1kJ} = 200,000J = 2.00* 10 ^5J[/tex]
Or alternatively make use of your scientific notation. [tex]kilo = 10^3[/tex]
Therefore [tex]200kJ = 200*10^3J=2.0*10^2*10^3J = 2.0*10^5J[/tex]
The electrical loads in _____ circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Answer:
The electrical loads in parallel circuits each have the same voltage drop, with equals the total applied voltage of the circuit.
Explanation:
I did some research and the voltage drop across any branch of a parallel circuit is the same as the applied voltage.
Gwen runs back and forth along a straight track. During the time interval 0≤t≤45 seconds, gwen’s velocity, in feet per second, is modeled by the function v given by v(t)=250sin(t2120)t 6
Gwen's position is a function of his velocity and time
Gwen's position at 45 seconds is 63.9 feet
How to determine Gwen's position at 45 seconds?The function is given as:
v(t) = 250sin(t^2/120)/(t + 6)
When t = 45, we have:
v(45) = 250sin(45^2/120)/(45 + 6)
Evaluate the sum, the exponent and the quotient
v(45) = 250sin(16.875)/(51)
Evaluate the sine ratio
v(45) = 250 * 0.2903/51
Evaluate the product and quotient
v(45) = 1.42
The position is then calculated as:
S(45) = v(45) * 45
This gives
S(45) = 1.42 * 45
Evaluate the product
S(45) = 63.9
Hence, Gwen's position at 45 seconds is 63.9 feet
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The displacement is the shortest between any two given points. The displacement of Gwen at the time period of 45 seconds is 63.9 feet.
What is displacement?The displacement is the shortest between any two given points. It is the product of velocity and time.
Given that the function of the velocity is [tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]. Therefore, substitute the value of t as 45, to know the velocity of Gwen at 45 seconds,
[tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]
[tex]v(45)=\dfrac{250\sin\left(\frac{45^{2}}{120}\right)}{\left(45+6\right)}\\\\v(45) = 1.42[/tex]
Since displacement is the product of velocity and time, therefore, the displacement is equal to,
[tex]s = v \times t\\\\s = 1.42 \times 45\\\\s = 63.9\rm \ feet[/tex]
Hence, the displacement of Gwen at the time period of 45 seconds is 63.9 feet.
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Who developed the principle of whenever 2 objects come into contact with one another, materials are exchanged between them?.
Answer:
Edmond Locard
Explanation:
Hope this helps :)
project: weather forcasting
Instructions
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B that is the correct answer
a 600kg wrecking ball is swinging from a crane as shown. When the wrecking ball reached the bottom of the path, the wrecking ball is moving 10m/s
Answer:
Explanation:
The picture is cut off so the wrecking ball and its path are not shown. It would be better if the whole picture is available.
Based on the written info, at the bottom of the path, the wrecking ball is moving at 10m/s.
The centripetal acceleration = velocity^2 / radius
= 10^2 / 25
= 100 / 25
= 4m/s^2
The centripetal force = mass * centripetal acceleration
= 600*4
= 2400N
As the ball is moving horizontally at the bottom, net vertical force is zero.
So Tension force in cable = Wrecking ball weight + Centripetal force
= 600*g + 2400
= 6000 + 2400; assuming g is 10m/s^2
= 8400N
Which statement describes characteristics of a convex lens? A convex lens diverges light and curves inward. A convex lens diverges light and curves outward. A convex lens converges light and curves inward. A convex lens converges light and curves outward.
Answer:
D, A convex lens converges light and curves outward.
Explanation:
edge
A convex lens converges light and curves outward.
What is a convex lens ?A lens that is thin at the bottom and upper edges and somewhat thick in the middle is referred to as a convex lens. The edges are not bent inside, but rather outward.
Here,
In a convex lens, the light rays travelling parallel to its principal axis are converged by it (i.e., the incident rays are directed towards the principal axis).
Since all of the light rays that are refracted by a convex lens eventually converge at a single point, where the image is created, the convex lens is also known as a converging lens.
A converging lens produced a virtual image when the object is placed in front of the focal point.
Hence,
A convex lens converges light and curves outward.
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