The rotational inertia about an axis tangent to the sphere of the given mass and radius is ⁷/₅MR².
Parallel axis theoremAccording to parallel axis theorem, the moment of inertia of a body about any axis is equal to the sum of the product of its mass and the square of the distance between the two parallel axis and the moment of inertia of the body about a parallel axis passing through its centre of mass.
The moment of inertia of the sphere about its parallel axis passing through its centre of mass = ²/₅MR²
The product of its mass and the square of the distance between the two parallel axis = MR²
Rotational inertia about an axis tangent to the sphereMoment of inertia about an axis tangent to the sphere = MR² + ²/₅MR²
= ⁷/₅MR²
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The rotational inertia of a sphere of given mass and radius along a tangent axis is [tex]\rm \frac{7}{5} MR^2[/tex].
What is a moment of inertia?The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.
The given data in the problem is;
M is the sphere's mass.
R is the radius of a sphere
According to the parallel axis theorem,The rotational inertia of a sphere of given mass and radius along a tangent axis is found as;
[tex]\rm I=MR^2+\frac{2}{5} MR^2 \\\\ I=\frac{7}{5} MR^2[/tex]
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what is the ionic compound of Ba(NO3)2
Answer:
Barium nitrate
Which of the following is true about the horizontal component of a
projectile?
A: There is no acceleration
B: The change in displacement is always negative
C:The time is different than the vertical component
D:There is no initial velocity
Answer:
a
Explanation:
What is Al's hypothesis?
options:
If I freeze fresh water and salt water then the salt water will freeze more quickly because salt increases the freezing point temperature.
If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature
If I freeze fresh water and salt water then both will freeze at the same time because salt doesn't affect the freezing time.
If I freeze cool aid and water then the water will freeze more quickly because cool aid increases the freezing point temperature.
Answer:
This is your answer
If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature
Explanation:
I hope it helped you
Question 4 of 5
The picture shows a model of a cell.
W
What is the main function of the part labeled Win the model?
Explanation:
it is not clear. I can't see w.
Two blocks each of mass m are attached to the ends of a massless rod
The net torque on this system is (ml2g-ml1g)k
What is Torque?
This refers to the type of force that causes rotation in objects which has mass and is a twisting force
Based on the complete question, we can see the given parameters:
The torque due to farther mass above the pivot is ml2gk
The torque due to nearer mass about the pivot is ml1gk
Therefore, the net torque is (ml2g-ml1g)k
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The net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot, is (ml₂g-ml_₁g)\hat k.
What is torque?The torque of a body is the rate of change of angular momentum of the body. Torque is the product of moment of inertia and the angular acceleration.[tex]\tau =I\times \alpha[/tex][tex]\tau=mlg[/tex]
Here, (I) is the moment of inertia and (α) is the angular acceleration.
Two blocks each of the mass m are attached to the ends of a massless rod which pivots as shown in fig.
Initially, the rod is held in the horizontal position and then released. When, the mass was kept at farther to pivot, then the value of torque is,
[tex]\tau=ml_2g\hat k[/tex]
When, the mass was kept at nearer to pivot, then the value of torque is,
[tex]\tau=-ml_1g\hat k[/tex]
Thus, the net torque on this system above pivot is,
[tex]\tau=ml_2g\hat k+(-ml_2g\hat k)\\\tau=(ml_2g-ml_1g)\hat k[/tex]
Thus, the net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot is (ml₂g-ml_₁g)\hat k.
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A 0.105- kg hockey puck moving at 24 m/s is caught and held by a 75-kg goalie at rest. With what speed does the goalie slide on the ice after catching the puck? Define the puck and the goalie as a system.
please show work, help
Answer:
0.03 m/s
Explanation:
Applying law of conservation of momentum,
m₁v₁ + m₂v₂ = (m₁ + m₂)v0.105(24) + 75(0) = (0.105 + 75)v75.105v = 2.52v = 2.52/75.105v = 0.03 m/sWhen a 10-V battery is connected to a resistor, the current in the resistor is 2 A. What is the resistor's value
Answer:
5 ohms
Explanation:
V = IR
10 = 2 R
R = 5
two cars have the same mass, but one is traveling 3 times as fast as the other. how much more kinetic energy does the faster car have
Answer:
9 times the KE
Explanation:
KE = 1/2 mv^2 now triple 'v'
KE = 1/2 m 9 v^2
Which red line shows the same action spectrum corrected for the unequal number of photons emitted across the visible spectrum?.
The visible spectrum is composed of red, orange,yellow, green, blue, violet, indigo.
What is visible spectrum?The visible spectrum refers to the portion of the electromagnetic spectrum that can be seen with the eyes. All other portions of the electromagnetic spectrum are invisible.
The question is incomplete as the details are missing. The visible spectrum is composed of red, orange,yellow, green, blue, violet, indigo.
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Where are globular clusters located in the milky way?.
Answer:
Globular star clusters are located in the great spherical halo.
Explanation:
Hope this helps! :)
A 10-A current is maintained in a simple circuit with atotal resistance of 209 ohm. What net charge passes through any point in a circuit during a 1-minute interval?
Answer:
I = Q / t definition of current I
Q = i t = 10 Coul/sec * 60 sec = 600 Coul
A 10-A current is maintained in a simple circuit with a total resistance of 209 ohms, then the net charge passes through any point in a circuit during a 1-minute interval would be 6000 Coulombs.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
Let us first convert the time period of minutes into seconds
1 min = 60 seconds
10 min = 10*60 seconds
=600 seconds
Q = I*t
=10*600
=6000 Amperes
Thus, the net charge that passes through any point in a circuit during a 1-minute interval would be 6000 Amperes.
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HELP
1. Which of the following is most useful in determining the kinetic energy of a 50 g battery- powered car
traveling a distance of 10 m?
A) Beaker
B) Voltmeter
C) Thermometer
D) Stopwatch
The stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
What is kinetic energy?Kinetic energy is the energy of a body possessed due to motion.
This means that for an object to possess kinetic energy, it must be in motion.
The kinetic energy is measured in Joules, which is a product of the mass of the substance and the time taken to travel a distance.
A stopwatch is an instrument used to measure time as one of the components of kinetic energy.
Therefore, the stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.
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How do scientists know that seafloor spreading occurs?Explain how this spreading causes the continents to seperate.
If the two blocks are touching, what will happen to the thermal energy in this system?
Explanation:
What are the integers between -4 and +4?
What phase of the moon would someone
on Earth see when the moon is at
Positions A through F?
First quarter is the phase of the moon would someone on Earth will see when the moon is at Positions A through F.
What is First Quarter?This is the phase which occurs when the moon is 90 degrees away from the sun in the sky and is half-illuminated from our point of view.
When looking it at the moon from point F it's half-illuminated which depicts the First quarter moon phase.
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What is the speed of a wave that has a frequency of 440 Hz and a wavelength of 0.78 m? O A. 564 m/s m B. 0.003 m/s C. 343 m/s D. 0.002 m/s
Explanation:
velocity = frequency × wave length
velocity = 440 × 0.78
velocity = 343 m/sec
can you please mark my answer brainliest ♥️
17. Suppose you attach the object with mass m to a vertical spring originally at rest, and let it bounce up and down. You release the object from rest at the spring’s original rest length. (a) Show that the spring exerts an upward force of 2.00mg on the object at its lowest point. (b) If the spring has a force constant of 10.0N/m and a 0.25-kg-mass object is set in motion as described, find the amplitude of the oscillations. (c) Find the maximum velocity.
Please show all of your work.
Answer:
See below ↓
Explanation:
Step 1 : Diagram
In attachmentStep 2
We choose the system to be the spring, the block, and the Earth and it is isolatedWe put all the data in the figure we have created and create a zero level (initial height) of the block to be yₓ = 0 and the final position, when it stops and moves upwards again, to be yₙ = -ANo external forces are exerted on the system and no energy comes in or out of the systemHence,⇒ ΔE = 0
⇒ Eₙ - Eₓ = 0
⇒ Eₙ = Eₓ
⇒ Kₙ + Uₙ + Pₙ = Kₓ + Uₓ + Pₓ
Final kinetic energy is 0 at the lowest point⇒ Uₙ + Pₙ = Uₓ + Pₓ
Step 3
Initial potential energy is 0 [zero level = initial height]⇒ Uₙ + Pₙ = Uₓ
And we know that spring was originally at normal length, so initial spring energy is also 0⇒ Uₙ + Pₙ = 0
⇒ 1/2kxₙ² + mgyₙ = 0
⇒ 1/2kxₙ² = -mgyₙ
We know xₙ = A and yₙ = -A from the diagram⇒ 1/2kA² = -mg(-A)
⇒ 1/2kA² = mgA
⇒ [1/2kA = mg]
Step 4
Spring force is given by : F = -kxNote : x = A⇒ F = kA
⇒ k = F/A
⇒ Plug 'k' into the equation found at the end of Step 3
⇒ 1/2(F/A)(A) = mg
⇒ 2F = mg
⇒ F = 2mg (a)
Step 5
We know the spring will stop oscillating and be at rest at the new equilibrium position of the system⇒ F - mg = 0
⇒ F = mg
We know that :⇒ F = -kx
In the case x = yₙ⇒ kyₙ = mg
⇒ yₙ = mg/k
⇒ yₙ = 0.25 x 9.8 / -10
⇒ yₙ = -0.245 m
⇒ yₙ = A
⇒ yₙ = 0.245 m (b)
Step 6
v(max) = Aωv(max) = A√k/mv(max) = 0.245 x √(10/0.25)v(max) = 1.55 m/s (c)if i were to (HYPOTHETICALLY) punt a small child off of a building, (HYPOTHETICALLY) how long would it take for the (VERY HYPOTHETICAL) child to reach maximum velocity?
(HYPOTHETICALLY) the child would weigh 88 pounds, have blond hair and blue eyes, and (HYPOTHETICALLY) be named "Jacob."
THIS QUESTION IS HYPOTHETICAL AND I AM TOTALLY NOT PLANNING TO COMMIT AN ATROCITY!
Answer:
Around 190-ish miles per hour when it hit the ground maybe
Explanation:
A bungee cord with a spring constant of 800 StartFraction N over m EndFraction stretches 6 meters at its greatest displacement. How much elastic potential energy does the bungee cord have?
Answer:
14,400
Explanation:
I guessed and I think it's right Soo
You calibrate a set of automobile springs using a 25 kg car battery, attached to a rope that runs over a pulley, as shown in the diagram.
You find that the spring is pulled out by 0.06 meters. Compute the spring constant, k, in N/m.
Just type in the numeric part of your answer, to the nearest 0.1 N/m.
For an automobile spring using a 25 kg car battery, the spring constant is mathematically given as
K=4.08.3N/m
What is the spring constant?Question Parameter(s):
a 25 kg car battery
The springs are pulled out by 0.06 meters
Generally, the equation for the Force is mathematically given as
F=mg
Therefore
F=(25*9.8)
(25*9.8)=K(0.06)
K=4.08.3N/m
In conclusion, the spring constant
K=4.08.3N/m
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do you think your real?
Answer: Yes I am alive.
A crane lifts a 450 kg concrete to the top of a 50 m building in 5 s.
Assuming g= 10 m/s
)
2
a) The potential energy of the concrete.
, calculate;
b) The power developed by the crane
Explanation:
Given : m=600kg h=20 m
Time of operation t=2 min =120 s
Work done in lifting a box W=mgh=600×10×20=120000
Power required P=
t
W
=
120
120000
=1000 watts
Students in science are studying solutions and the dissolving rate of solids. One group was given some instant lemonade mix to dissolve. They used a packet of lemonade crystals and a packet of lemonade powder. The students dissolved the same amount of each solid into 100 ml of water. They varied the water temperature. List ALL the possible conclusions based the data the students collected?
Answer:
a-d
Explanation:
hope this helps
A bus start moving from rest .If its velocity after 5 seconds becames 10 m/s ,find acceleration
Answer:
2 [tex]m/s^{2}[/tex]
Explanation:
acceleration = (final-initial velocity) / time
= (10-0)/5
=2
A current in a wire increases from 2 a to 6 a. how will the magnetic field 0.01 m from the wire change? it increases to four times its original value. it increases to three times its original value. it decreases to one-fourth its original value. it decreases to one-third its original value.
Answer:
It increases to three times it's original value.
Explanation:
B
Hi there!
Recall the equation for the magnetic field of a wire (assuming infinite):
[tex]B = \frac{\mu _0 i_{encl}}{2\pi r}[/tex]
B = Magnetic field (T)
μ₀ = Permeability of Free Space (Tm/A)
i = enclosed current (A)
r = distance from wire (m)
From the equation, we can see that there is a DIRECT relationship between the current and the magnetic field.
Therefore, if the current is increased by a factor of 3, the FIELD will also be increased by a factor of three.
By what means can the internal energy of a closed system increase?.
Answer:
when work is done on the system or heat comes into the system
What is the length of a pendulum that has a period of 4. 89 seconds?
Hi there!
We can use the following equation for a simple pendulum:
[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]
T = Period (4.89 s)
L = length (? m)
g = acceleration due to gravity (9.8 m/s²)
Rearrange the equation to solve for L.
[tex]T^2 = 4\pi ^2 \frac{L}{g}\\\\L = \frac{gT^2}{4\pi ^2}[/tex]
[tex]L = \frac{(9.8)(4.89^2)}{4\pi^2} = \boxed{5.936 \frac{m}{s}}[/tex]
A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. The length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
What is a pendulum?A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. Pendulums are employed to govern the movement of clocks because the time interval for each full oscillation, known as the period, remains constant.
Given that the time period is 4.89 seconds, therefore, the length of the pendulum can be written as,
[tex]\rm T = 2\pi \sqrt{\dfrac{L}{g}}\\\\4.89 = 2\pi \sqrt{\dfrac{L}{9.81}}\\\\L = 5.936\ m[/tex]
Hence, the length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
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Identify the solutions (homogeneous mixtures) in the list below. check all that apply. lead, an alloy of tin and lead ammonia, a pure compound of nitrogen and hydrogen window cleaner, a mixture of ammonia and coloring dissolved in water gasoline, a mixture of organic liquids with a fixed composition throughout distilled water, pure with no metals or particles
Answer:
Brainliest pls
Explanation:
lead solder, an alloy of tin and lead
window cleaner, a mixture of ammonia and coloring dissolved in water
gasoline, a mixture of organic liquids with a fixed composition throughout
The solutions and homogeneous mixtures in the given list are:
A. Lead solder, an alloy of tin and lead.
D. Window cleaner, a mixture of ammonia and coloring dissolved in water.
E. Gasoline, a mixture of organic liquids with a fixed composition throughout.
What is a solution?A solution can be defined as a special type of homogeneous mixture that comprises a solute and a solvent.
A homogeneous mixture can be defined as any solid, liquid, or gaseous mixture which has an identical (uniform) composition and properties throughout any given sample of the mixture.
In Science (Physics), all solutions are considered to be a homogeneous mixture because their constituents are uniformly (evenly) distributed.
In conclusion, the solutions and homogeneous mixtures in the given list are:
Lead solder, an alloy of tin and lead.Window cleaner, a mixture of ammonia and coloring dissolved in water.Gasoline, a mixture of organic liquids with a fixed composition throughout.To know more about solution follow
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please hurry I will be forever grateful <3
List some advantages and disadvantages of series and parallel circuits.
Advandages:
1. Every unit that is connected in a parallel circuit gets equal amount of voltage.
2. It becomes easy to connect or disconnect a new element without affecting the working of other elements.
3. If any fault happened to the circuit, then also the current is able to pass through the circuit through different paths.
Disadvantages:
1. It requires the use of lot of wires.
2. We cannot increase or multiply the voltage in a parallel circuit.
3. Parallel connection fails at the time when it is required to pass exactly same amount of current through the units.
When you serve the ball, if the ball does not land in the opposite side rectangle this is called a ______. question 2 options: fault miss volley foul
Answer:
its called a fault
Explanation:
Its when u mess up