Hi there!
Recall the equation for angular momentum:
[tex]L = I\omega[/tex]
L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)
We know that the Moment of Inertia of a solid cylinder is equivalent to:
[tex]I = \frac{1}{2}MR^2[/tex]
M = mass (kg)
R = radius (m)
Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.
[tex]r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m[/tex]
[tex]I = \frac{1}{2}M(0.1^2) = 0.005 M[/tex]
We can rearrange the equation of angular momentum to solve for mass.
[tex]L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}[/tex]
Question 3
The FRC robot is rushing to pick up a game ball to shoot. The robot
is at rest and then it travels 30m in 1.96s. What is the robot's
acceleration in this time?
Answer:
15.61 m/s^2
Explanation:
From 3 rd equation of motion
s=ut+1/2at^2
given s = 30
u= 0 ( as body was at rest)
t= 1.96s
30=0*1.96+1/2a(1.96)^2
30=0+1/2a(1.96)^2
a=2*30÷(1.96)^2
a= 15.61 m/s^2 (approx)
A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.
In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.
What is a convex lens?A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.
In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.
In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.
Read more on convex lens here: https://brainly.com/question/10153605
What type of gas absorbs and re-emits infrared radiation?.
Answer:
Carbon Dioxide absorbs and re-emits the infrared radiation.
Circuit A has a voltage of 10 V, and circuit B has a voltage of 15 V Which statement about the circuits is correct? (1 point)
If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the
current in circuit B.
If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater
than the current in circuit B.
If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance
in circuit B
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than
the resistance in circuit B.
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.
Ohms LawOhms law states that the volatge in a circuit is directly proportional to the current flowing in the circuit.
V = IR
Where;
V is voltageI is currentR is resistanceThe given voltage in the circuits
Circuit A = 10 VCircuit B = 15 VAt equal resistance, the current flowing in circuit B will be greater than circuit A since circuit B has more voltage.
However, If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.
Learn more about ohms law here: https://brainly.com/question/231741
C
- CONNECTIONS
---
much love! <33
An object is in simple harmonic motion of the following quantities related to the object, which set of three can have maximum
magnitudes at the same instant of time?
i. displacement
ii. velocity
iii. acceleration
iv. kinetic energy
v. potential energy
Answer:
displacement, acceleration, potential energy
Explanation:
pretty sure this is correct but dont hold me to it.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
What is simple harmonic motion?Simple harmonic motion is periodic motion caused by a restoring force that is proportionate to the deviation from equilibrium.
Simple harmonic motion is periodic motion but many other conditions are dependent.
The object is in simple harmonic motion of the following quantities related to the object.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
Hence the set of three quantities is the options i, iii,v.
To learn more about the simple harmonic motion refer to the link;
https://brainly.com/question/17315536
Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.
A trait shared by dolphins and bats will be the need to move quickly through dark environments.
What is the evolution of echolocation?Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation
According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats
The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.
A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.
Hence option A is correct.
To learn more about the evolution of echolocation refer to the link;
https://brainly.com/question/20789287
Answer:
D
Explanation:
A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l
The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.
How to compute the equation?From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.
For case 2, f = mg = kx₂.
Therefore, we'll equate the equations. This will be:
Kx₁ = Kx₂
(K/2)x₁ = (2k)x₂
K(x₁/2) = k(2x₂)
X₁/2 = 2x₂
X1 = 2 × 2x₂
X₁ = 4X₂.
In conclusion, X₁ = 4X₂.
Learn more about equations on:
https://brainly.com/question/2972832
X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
For case 1;
f=mg=kx₁
For case 2;
f=mg=kx₂
After equating the equation we get;
[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]
Hence X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
To learn more about the spring force refer to the link;
https://brainly.com/question/4291098
#SPJ4
A 0. 5 kg mass on a 1-m-long string swings in a circle on a horizontal, frictionless table at a steady speed of 2 m/s. How much work does the tension in the string do on the mass during one revolution?
The tension does no (zero) work
F· S = W
Since the tension is perpendicular to the direction of motion, and there is no change in S the work done is zero.
How you get a bucket of KFC past airport security?
Answer:
I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.
Explanation:
Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.
Calculate the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule. Answer in units of K.
The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.
Conservation of energyThe temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is determined by applying principle of conservation of energy as shown below;
E = K + U
E = K - GmM/R
0 = K - GmM/R
K = mgR
When the minimum escape energy is 15 times average kinetic energy;
15K = mgR
[tex]15 \times \frac{3}{2} kT = mgR[/tex]
where;
m is mass of oxygen per atom = (0.032 kg)/(6.02 x 10²³) = 5.316 x 10⁻²⁶ kg/atomg is acceleration due gravity = 9.8 m/s²R is radius of Earth = 6.371 x 10⁶ m.k is Boltzmanns’ constant = 1.38066 x 10⁻²³ J/K.[tex]T = \frac{2mgR}{15 \times 3k} \\\\T = \frac{(2)(5.316 \times 10^{-26})(9.8)(6.371 \times 10^6)}{45(1.38066 \times 10^{-23})} \\\\T = 10,684.4 \ K[/tex]
Thus, the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.
Learn more about minimum escape energy here: https://brainly.com/question/16008094
A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.
The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.
Angular speed of the automobile
The angular speed of the automobile in radian per second is calculated as follows;
ω = 2πN
ω = 2π x (3590 /60 s)
ω = 375.94 rad/s
Maximum velocityThe maximum velocity of the piston is calculated using the following formula;
v(max) = Aω
v(max) = 0.0683 x 375.94
v(max) = 25.68 m/s
Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.
Learn more about angular speed here: https://brainly.com/question/6860269
Find fff, the magnitude of the force applied to each side of the nutcracker required to crack the nut
Force is a vector, as such we know that the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.
What is force?The term force is used to describe that which causes a change in the position of an object. Now the question is incomplete but I will try to help you the much I can.
Recall that force is a vector quantity. Hence the magnitude of the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.
Learn more about force: https://brainly.com/question/26115859
a woman weighs 580 N . what is her mass?
Answer:
The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.
Explanation:
59.18 kg
Hope this helps! :)
What is the difference between a moon and a planet.
Answer:
A planet revolves around the Sun and a moon orbits a planet. Technically, the moon also orbits the Sun as it spins around its planet, but because it has its own sub-orbit of a planet scientists define it as a moon. All planets in our solar system, except for Mercury and Venus, have moons. Earth has one moon, Mars has two, Neptune has thirteen, Uranus has twenty-seven, Jupiter has sixty-six, and Saturn has sixty-two. Pluto, now classified as a dwarf planet, has five moons.
What are the nicknames for the planets in our solar system?
Answer:
History of the 9 Planets in our solar system The ancient Greeks came across seven lights in the sky that moved against the background pattern of stars: the sun, the moon, Mercury, Venus , Mars, Jupiter, and Saturn. then they decided to name them Planetes, or Wanderers.
Explanation:
A planet is a celestial body. The nickname for the earth is "blue planet".
What is a planet?A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.
The nicknames for the planets in our solar system are:
Swift Planet for Mercury, Morning Star and Evening Star for Venus, Blue Planet for Earth, Red Planet for Mars, Giant Planet for Jupiter, Ringed Planet for Saturn, Ice Giant for Uranus,Big Blue Planet for Neptune.Learn more about Planet:
https://brainly.com/question/14581221
#SPJ4
Who discovered the basic laws of planetary orbits?.
Answer:
kepler
Explanation:
While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars
state two factors that affect the type of Shadows formed
Answer:
The two factors that affect the type of Shadows formed are stated below ::
The distance between the source of land and the object. The angel where the ray of light falls on the object.Answer:
The distance of the source of light from the object.
The angle at which the light rays fall on the object.
The size of the opaque object.
The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.
If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.
Explanation:
picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️
It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.
Hope you like this
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.
the north pole magnet is brought near a refrigerator door , and the magnet sticks. if the magnet is removed and the south pole is brought near the door instead, will it also stick explain
Answer:
no
Explanation:
because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.
Explain diffraction at a single slit (light)
Answer:
At some point on say, the receiving screen, light emanating from the left side of the slit will be out of phase (a difference of 1/2 wavelengths) from light coming from the center of the slit.
Thus for every point that is left of the center of the slit, there will be a point on the right side of the slit that is out of phase,
There will be no light on the screen at that particular point and thus there will be a dark fringe there.
That is the basic explanation for the appearance of dark and bright fringes on the receiving screen.
What causes changes in the orbit of objects in the solar system.
A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?
The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.
Angular velocity of the tireThe angular velocity of the tire is the rate of change of angular displacement of the tire with time.
The magnitude of the angular velocity of the tire is calculated as follows;
ω = 2πN
where;
N is the number of revolutions per secondω = 2π x (5.25 / 3)
ω = 11 rad/s
Tangential velocity of the tireThe tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.
The magnitude of the tangential velocity is caculated as follows;
v = ωr
where;
r is the radius of the car's tirev = 11r m/s
Learn more about tangential velocity here: https://brainly.com/question/25780931
The velocity of a car increases by 40 m/s in 80 seconds. What is the
acceleration of the car?
A. 40 m/s2
B. 0.5 m/s2
C. 120 m/s2
D. 0.25 m/s2
Answer:
B
Explanation:
a=v/t
a=(40m/s)÷(80s)
a=0.5m/s
In what type of system is mechanical energy lost to its surroundings?
A. internal
B. external
C. closed
D. open
Answer:
open
Explanation:
in open system mechanical energy is lost to its surroundings
Does a photon emitted by a higher-wattage red light bulb have more energy than a photon emitted by a lower-wattage red bulb
Answer:
The energy of these two photons would be the same as long as their frequencies are the same (same color, assuming that the two bulbs emit at only one wavelength.)
Explanation:
The energy [tex]E[/tex] of a photon is proportional to its frequency [tex]f[/tex]. The constant of proportionality is Planck's Constant, [tex]h[/tex]. This proportionality is known as the Planck-Einstein Relation.
[tex]E = h\, f[/tex].
The color of a beam of visible light depends on the frequency of the light. Assume that the two bulbs in this question each emits light of only one frequency (rather than a mix of light of different frequencies and colors.) Let [tex]f_{1}[/tex] and [tex]f_{2}[/tex] denote the frequency of the light from each bulb.
If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: [tex]f_{1} = f_{2}[/tex].
Thus, by the Planck-Einstein Relation, the energy of a photon from each bulb would also be the same:
[tex]h\, f_{1} = h\, f_{2}[/tex].
Note that among these two bulbs, the brighter one appears brighter soley because it emits more photons per unit area in unit time. While the energy of each photon stays the same, the bulb releases more energy by emitting more of these photons.
What is another name for coal, natural gas, and oil? (two words)
The answer is fossil fuel
its formed from the remains of ancient plants and animalHope it helps!
The answer is fossil fuel
In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.
-----------------------------------------------------------------------------
Which behavior does this scenario describe?
o Conditioning
o Hibernating
o Imprinting
o Migrating
Answer: "Migrating", You're welcome
Answer it or you are bad in physics
Answer:
1.water evaporates from the sea
2.water rises in warm air
3.water vapor is cooled and form clouds
4.clouds move and water falls on land as rain
5water travels along a rive to the sea
Explanation:
and that is how the water cycle works
Select the correct answer.
Which of the following social events are often centered around sporting events?
A. Tailgate Parties
B. Parades
C. Pep Rallies
D. All of the above
What is the difference between gravity and acceleration?
Aceleration refers to motion but gravity refers to force
Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth
Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
[tex]\rm a = \frac{v-u}{t}[/tex]
u is the initial speed
v is the final speed
t is the time interval
a is the acceleration of the ball
Gravitation is a natural law by which all things with all matter are attracted towards one another.
g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.
The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².
Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.
To learn more about the acceleration refer to the link;
https://brainly.com/question/2437624
#SPJ4