Answer:
ωf = 3.1*10 rad/sec
Explanation:
Assuming no external torques acting while the sand is being dropped, total angular momentum must keep constant.So we can write the following equality:[tex]L_{o} = L_{f} (1)[/tex]
For a rigid body rotating with respect to an axis, the angular momentum can be written as follows:[tex]L = I* \omega (2)[/tex]
where I = moment of inertiaω = angular velocityReplacing (2) on both sides of (1) we get:[tex]I_{o}* \omega_{o} = I_{f}* \omega_{f} (3)[/tex]
In (3) we know the values of I₀ and ω₀ (since they are givens), but we need to find the value of If first.The final moment of inertia, will be equal to the sum of the initial one, plus the one due to the ring of sand, that also rotates with respect to an axis perpendicular to the disk, as follows:[tex]I_{f} = I_{o} + I_ {ring} (4)[/tex]The moment of inertia of a circular ring is as follows:[tex]I_{ring} = m_{ring} *r^{2} (5)[/tex]
Replacing by the givens in (5) we get:[tex]I_{ring} = m_{ring} *r^{2} = 0.5 kg * (0.4m)^{2} = 0.08 kg*m2 (6)[/tex]
Replacing (6) in (4):[tex]I_{f} = I_{o} + I_ {ring} = 0.14kg*m2 + 0.08 kg*m2 = 0.22 kg*m2 (7)[/tex]Replacing I₀, ω₀ and If in (3), we can solve for ωf, as follows:[tex]\omega_{f} =\frac{I_{o} *\omega_{o} }{I_{f} } = \frac{0.14kg*m2*4.9*10rad/sec}{0.22kg*m2} = 3.1*10 rad/sec (8)[/tex]Find the projection of vector vector A=2i-8j+k in the direction of vector B=3i-4j-12k
T=
Circumference of the earth
Speed/Velocity
.. a =
R
r
Where R = radius of the earth taken as 6.3
above the surface of the earth, g = accelera
acceleration du
velocity of the satellite.
Mv2
y2 v2
= Ma
5) The velocity of light is 3x108m/s. How long does it take a
reach the earth from the sun, which is 1.5x10 m away?
The radius of the moon is (3.65) of the radius of the earth
the acceleration due to gravity of the moon is of that one
earth's surface. Calculate the mass of the moon. (Ans
7.46x1022kg)
Calculate the escape velocity of a satellite from the earth's surface
(G = 6.7x10-11Nm?kg-?, mass of the earth = 6x1024kg and i the
earth's radius = 6.4x10ºm)
A centripetal force of 1N is used to keep a 0.1kg yoyo moving in
horizontal circle of radius 0.7m. What is the yoyo's velocity?
6
Answer:
ummm what the hell
Explanation:
In which areas of the diagram does conduction occur?
W and X
X and Z
Y and Z
Z and W
B: X and Z
for the people in the back
A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotating with the same angular velocity The sphere is rotating around an axis through its center. The cylinder is rotating around its long axis, and the rod is rotating around an axis through its center but perpendicular to the rod. Which one has the greatest rotational kinetic energy? a. the sphere b. the cylinder c. the rod d. the rod and the cylinder have the same rotational kinetic energy e. they all have the same kinetic energy
Answer:
b. the cylinder
Explanation:
From the information given:
We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.
Taking their moments:
For the solid sphere; [tex]\text{The moment of inertia :}[/tex] [tex]I_s[/tex] = [tex]\dfrac{2}{5} \times m \times r^2[/tex]
The moment of inertia of the cylinder, [tex]I_c = 0.5\times m \times r^2[/tex]
The moment of inertia of rod, [tex]I_r =\dfrac{ m * r^2 }{12}[/tex]
The rotational kinetic energy is directly corresponding to the moment of inertia.
Thus, the cylinder has the greatest rotational kinetic energy.
Need help ASAP on number 4 pls
The Arrows on both sides that has equal length is wrong and the rest of the boxes are the correct
How can a mutation result in a new trait
They are called beneficial mutations. They lead to new versions of proteins that help organisms adapt to changes in their environment. Beneficial mutations are essential for evolution to occur. They increase an organism's changes of surviving or reproducing, so they are likely to become more common over time.
Mutation is when there is a particular change in the bases of the DNA, this changes how enzymes and proteins work, and there may be a chance that this change will be helpful.
Run Gizmo: Orbital velocity is the velocity needed to make a circular orbit. Use the Gizmo to find the orbital velocity of the ball on Venus. Make the orbit as circular as you can.
What is the orbital velocity on Venus?
Do the same on Earth. What is the orbital velocity on Earth?
Based on this, which planet do you think has stronger gravity, Venus or Earth? Explain
This is a science gizmo my science teacher it would rlly help to get answers. Thx.
Answer:
Hmm i need more info
Explanation:
which ocean is between North
America and Europe?
A. Pacific Ocean
B. Atlantic Ocean
C. Indian Ocean
D. Southern Ocean
Answer:
B. Atlantic Ocean
Explanation:
A meteorologist plans to release a weather balloon from ground level, to be used for high-altitude atmospheric measurements. The balloon is spherical, with a radius of 2.20 m, and filled with hydrogen. The total mass of the balloon (including the hydrogen within it) and the instruments it carries is 21.0 kg. The density of air at ground level is 1.29 kg/m3. (a) What is the magnitude of the buoyant force (in N) acting on the balloon, just after it is released from ground level
Answer:
563.86 N
Explanation:
We know the buoyant force F = weight of air displaced by the balloon.
F = ρgV where ρ = density of air = 1.29 kg/m³, g = acceleration due to gravity = 9.8 m/s² and V = volume of balloon = 4πr/3 (since it is a sphere) where r = radius of balloon = 2.20 m
So, F = ρgV = ρg4πr³/3
substituting the values of the variables into the equation, we have
F = 1.29 kg/m³ × 9.8 m/s² × 4π × (2.20 m)³/3
= 1691.58 N/3
= 563.86 N
What is the legal BAC for teens in the state of California?
A ball is thrown so that its speed increases by 20 m/s in 10 seconds. What is the ball’s acceleration?
Answer: a= 2 m/s²
Explanation: acceleration = change of speed/ time = 20 m/s / 10 s
What are the differences between atoms, molecules, and compounds?
Answer:
Atoms are the thing that make up molecules and compounds. Molecule. Two or more atoms joined together with covalent bonds. Molecules contain two or more atoms and are held together by covalent bonds, whereas compounds are held together by ionic bonds. Compound. Two or more elements bonded together through ionic attraction.
Need help with questions 2–3 ASAP pls ease help
Answer:
A and D
Explanation:
❤❤ plz follow have a food day
What are the recent developments in gene therapy?
How much heat does it take to raise a
cup of water (2.34 x 10-4 m3) from
15.0 °C to 75.0 °C?
Answer:58600
Explanation:
Trust me it’s correct.
Select the correct answer.
Which theory was first proposed by Albert Einstein?
OA. the theory of special relativity
O B. the theory of universal gravitation
c. the theory of inertia
OD. the theory of radioactivity
Answer:
A. the theory of special relativity.
Explanation:
The theory of special relativity was first proposed theory by Albert Einstein.
Hope it will help :)❤
Two ice skaters approach each other at right angles. Skater A has a mass of 27.4 kg and travels in the x direction at 1.23 m/s. Skater B has a mass of 49.4 kg and is moving in the y direction at 0.759 m/s. They collide and cling together. Find the final speed of the couple. Answer in units of m/s.
Answer:
The final speed will be "0.65 m/s".
Explanation:
The given values are:
[tex]m_a[/tex] = 27.4 kg
[tex]m_b[/tex] = 49.4 kg
[tex]v_a[/tex] = 1.23 m/s
[tex]v_b[/tex] = 0.759 m/s
By using the law of conservation of momentum, we get
⇒ [tex]P=\sqrt{P_1^2+P_2^2}[/tex]
⇒ [tex]= \sqrt{(m_av_a)^2+(m_bv_b)^2}[/tex]
On substituting the values, we get
⇒ [tex]=\sqrt{(27.4\times 1.23)^2+(49.4\times 0.759)^2}[/tex]
⇒ [tex]=\sqrt{1135.82+1405.84}[/tex]
⇒ [tex]=50.41 \ kg-m/s[/tex]
As we know,
⇒ [tex]P=(m_1+m_2)v[/tex]
Then,
⇒ [tex]v=\frac{P}{m_1+m_2}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{50.41}{27.4+49.4}[/tex]
⇒ [tex]=\frac{50.41}{76.8}[/tex]
⇒ [tex]=0.65 \ m/s[/tex]
is this correct and why
Answer:
correct ooooooooooooo
Why are some areas in Europe seeing a partial solar eclipse while others are observing a total solar eclipse?
plz answer ASAP
Answer:
Objects between the source and observer produce possible shadows known as the umbra and the penumbra.
The umbra is a totally shadowed area, no light travels directly from the source to the observer.
The penumbra is a partially shadowed are where some of the source light travels directly to the observer an some of the source light is blocked from the observer (the object blocking the light is not a point object).
The question apparently refers to the differences seen by the observers.
Background information:
We know that power is the rate that work is done; what that
really means is that power tells up how much work is done every
second. To calculate power we just divide the amount of work that
was done by the time it took to do it (Power=work/time). Work is
measured in Joules and time is measured in seconds, we end up with Joules/sec when we calculate power. A Joule/sec is a Watt; we’ll use Watts to measure and compare power.
We also know that the work done on an object is the amount of energy it has gained. For this activity, you’ll be raising your body up as you do pushups which means you’ll be giving your body gravitational potential energy (GPE). To calculate the amount of GPE we multiply mass time gravity times the height raised (GPE=mgh).
What to do (record everything in the table):
1. You need to have a decent estimate of your mass in kilograms: On earth, every
kilogram weighs 2.2 pounds. Either measure your weight on a scale or just
estimate it (in pounds) then divide by 2.2 to get your mass in kilograms.
2. Measure or estimate the length of your upper arm from your elbow to your
shoulder in centimeters...this is how high you raise yourself for every pushup.
3. Decide if you’ll do regular pushups (on your toes) or simpler pushups (knees). If
you are doing regular pushups, multiply your mass by 0.68 because you’ll only be lifting about 68% of your mass each time; if you’re doing simpler pushups, multiply your mass by 0.52 because you’ll only be lifting about 52% of your mass each time.
4. Measure the time it takes for you to do 10 pushups.
Answer:
Power is the rate at which work is done. It is the work/time ratio. Mathematically, it is computed using the following equation. The standard metric unit of power is the Watt.
Explanation:
The chemical energy in your food is
transformed into what type of energy in
your moving muscles?
A. Light
B. Mechanical
C. Sound
D. Electromagnetic
Answer:
Electromanetic
Explanation:ESPERO TE AYUDE
What happened to the pod during those seconds when communication was lost?
Answer:
Explanation:
From our investigation of what forces are like in a collision, we learned that when two
objects collide, a force is exerted on each object. The two forces are in opposite
directions but the same strength. This allowed us to infer that an equal strength force
was exerted on the space station and the pod, but in opposite directions.
As a result, the space station and the pod are moving in opposite directions. We need to
learn more about the effects of collisions on each object’s motion so we can report back
to Dr. Gonzales at the space agency.
You will use physical materials to gather data about
forces in a collision. You will also notice how objects
are affected by collisions. Students will use their
data to infer the force direction for objects in a
collision.
Based on the velocity change of each object,
what did you infer about the direction of forces
during a collision?
• We observed that the velocity of each object changed during a collision, so we can infer
that a force had to be exerted on each object. However, the motion of the objects
changed in different ways.
• The object that was moving forward slowed down, so I can infer that the force must have
pushed backward on this object.
• The other object started moving forward, so the force must have pushed forward on that
object. If one force was backward and one force was forward, then the forces pushed
the objects in opposite directions.
Mrs. Archer spent her Saturday running a bunch of errands. She started out by
traveling 2 km east, then 5 km south, 12 km east, 2 km south then 40 km west, 60
km north. Calculate her displacement on the Y AXIS.
Answer:
Velocity = displacement/time whereas speed is distance/time. use the formula
Explanation:
What are some possible injuries that can occur as a result of anabolic steroid use?
I need help! thank you
Answer:
it is coice A and choice D
a potted plant falls from a window sill and is gaining speed. which one of the following statements is true of the plant?
a) its kinetic energy is constant
b) its kinetic energy is increasing
c) its kinetic energy is decreasing
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Answer:
OK we appreciate your concern.
four examples of compounds which are classed as carbohydrate
Answer:
Carbohydrates are divided into four types: monosaccharides, disaccharides, oligosaccharides, and polysaccharides. Monosaccharides consist of a simple sugar; that is, they have the chemical formula C 6 H 12 O 6. Disaccharides are two simple sugars. Oligosaccharides are three to six monosaccharide units, and polysaccharides are more than six.
What is a conservative force?
Answer:
A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the path taken Equivalently if a particle travels in a closed loop the total work done by a conservative force is zero
Explanation:
Why is manganin wire is thicker than copper wire?
Answer:
Manganin is an alloy of Cu with manganese and nickel. Since the latter two metals have resistivity greater than copper, the pure copper has lower resistivity and the manganin thus has to be thicker to have the same resistance.
I HOPE IT WILL HELP U.....#VERIFIED ANSWER