a. Jessica's has a greater linear speed.
b. The centripetal acceleration of Julie and her horse is 0.148 m/s².
a) Explain which girl is moving with the greater linear speed.Jessica's has a greater linear speed.
To answer the question, we need to know what Linear speed is.
What is linear speed?This is the tangential speed at which an object in circular motion moves. It is given by v = rω where
r = distance of object from center of circle and ω = angular speed.Now, given that Jessica is riding on a merry-go-round on an outer horse that sits at a distance of 8.0 m from the center of the ride and Jessica's sister, Julie, is on an inner horse located 6.0 m from the ride's center. Also, the merry-go-round is moving at constant angular speed.
Since Linear speed v = rω and ω = constant,
So, v ∝ r.
So, the girl with the greater distance from the center of the merry-go-round would have the greater linear speed.
Since
Jessica is at r' = 8.0 m and Julie is at r" = 6.0 m.Since
v ∝ r, and r' = 8.0 m > r" = 6.0 m,So, Jessica's has a greater linear speed.
b) What is the centripetal acceleration of Julie and her horse?The centripetal acceleration of Julie and her horse is 0.148 m/s².
Centripetal acceleration a = rω² where
r = distance of Julie from center of merry-go-round = 6.0 m and ω = angular speed of merry go round.Since the merry-go-round turns once every 40.0 s, we have that ω = 2π/40.0 s
= π/20.0 s
= 0.157 rad/s
Since a = rω²
Substituting the values of the variables into the equation, we have
a = rω²
a = 6.0 m × (0.157 rad/s)²
a = 6.0 m × 0.0247 rad²/s²
a = 0.148 m/s²
So, the centripetal acceleration of Julie and her horse is 0.148 m/s².
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A disk with radius of 0. 5 m is free to rotate around its center without friction. A string wrapped around the disk is pulled, as shown above, exerting a 2 n force tangent to the edge of the disk for 1 s. If the disk starts from rest, what is its angular speed after 1 s?.
For a disk with radius of 0. 5 m is free to rotate around its center without friction, its angular speed after 1 s is mathematically given as
w=1/(0.5M π^2)
What is its angular speed after 1 s?Generally, the equation for the Moment of inertia is mathematically given as
I=0.5mx^2
Where
radius = 0. 5 m
Mass=M
Force on edge=F=2N
Time =t
Hence, Torque
T=0.5*2=1.0Nm
Where
T=Ia
w=W0+at
Hence
W=1/I
In conclusion, angular speed after 1 s
I=0.5M π^2
w=1/(0.5M π^2)
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Which describe the image formed by the convex
mirror? Check all that apply.
-real
-virtual
-inverted
-upright
-smaller
-larger
Answer:
- Virtual
- Upright
- Smaller
Explanation:
I just did it on Edg22 and I got it correct :D
Answer:
see the picture
Explanation:
In straight line path, magnitude of velocity is equal to
Acceleration
Explanation:
The particle is moving in a straight line. That means there’s no change in the path of the particle in the entire trip. It is moving with constant acceleration, meaning the particle doesn’t change its acceleration at all. The acceleration direction is in the same direction of instantaneous velocity
Which element is more likely to give up electrons than to gain them during a reaction? A.fluorine b.boxygen c.carbon d.lithium
Answer:
Lithium
Explanation:
Elements that are metals are tend to lose electrons and become positively charged ions called Cations. Elements that are non metals tend to gain electron and become negatively charged ions called Anions.
Three examples of good hypotheticals
Answer:
here are some of my favorites
Explanation:
if the world was ending, what would you do?
if you had super powers. what would they be?
if we could go to the moon, would you?
Answer:
If Life was a human, how would you treat him/her?If death was a god would you praise him?And If wishes were dead, would you bring them back alive?Explanation:
{horrifically chuckles]
*Leaves the room*
A ray of light passing through centre of curvature of a concave mirror is incident on its reflecting surface. What is the angle of incidence and reflection of this ray of light?
What is the net force that acts on a 5 kg object accelerating at 2m/s
Answer:
10 N
Explanation:
I assume there is no friction and we are only worrying about the horizontal direction. If so we use the formula F=MA to get F= 2 * 5 = 10 N
Which space mission visited the moon several times?.
A go-cart is rolling down a hill at 15m/s. If it has 85J of kinetic energy. what is the mass of the go-cart?
0.76kg
0.87kg
5.67kg
0.18kg
Unpolarized light of intensity Io is incident on a stack of 7 polarizing filters, each with its axis rotated 17°cw with respect to the previous filter. Find the ratio between light intensity emerges from the last filter and unpolarized light of intensity Io. It/Io= _________
The ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensity, I₀ is It/I₀ = 0.2925
To answer the question, we need to know what polarization of light is.
What is polarization of light?This is when the electric field vector of light is oscillating in one plane.
Now for light of intensity I' which is initially unpolarized, its intensity after polarization is I = 1/2I'.Also, for light initially polarized, its intensity after polarization is I"' = I"cos²Ф where Ф is the angle between the initial direction and the direction of polarization.Intensity of light through each polarized filterGiven that we have 7 polarizing filters, each rotated 17° cw with respect to the previous filter.
So, since the light is initially unpolarized,
The intensity through the first polarizing filter is I₁ = 1/2I₀ where I₀ is the initial intensity.The intensity through the second polarizing filter is I₂ = I₁cos²17°= 1/2I₀cos²17°The intensity through the third polarizing filter is I₃ = I₂cos²17° = 1/2I₀cos⁴17°The intensity through the fourth polarizing filter is I₄ = I₃cos²17° = 1/2I₀cos⁶17°The intensity through the fifth polarizing filter is I₅ = I₄cos²17° = 1/2I₀cos⁸17°The intensity through the sixth polarizing filter is I₆ = I₅cos²17° = 1/2I₀cos¹⁰17°The intensity through the seventh polarizing filter is I₇ = I₆cos²17° = 1/2I₀cos¹²17°.The ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensitySince I₇ is the last intensity I₇ = It = 1/2I₀cos¹²17°.
So, It/I₀ = 1/2cos¹²17°
= 1/2(0.9563)¹²
= 1/2 × 0.5850
= 0.2925
So, the ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensity, I₀ is It/I₀ = 0.2925
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Which formula can be used to solve problems related to the first law of thermodynamics? q = w u q = u – deltaw q = u w q = u – w
"Q = ΔU + W" is the equation is used to solve the questions related to "First law of thermodynamics".
What is the first law of thermodyanamics?"First law of thermodynamics" states that "energy" neither created nor destroyed, but it can transfer from "one form of energy" to "another form of energy".
This "First law of thermodynamics" is also called as "law of conversation of energy". The formula for "First law of thermodynamics" of a system is that "change in internal energy of a system" is same as the difference of "heat energy" flows across the " boundaries of a system" and the "work done" on the system.
ΔU = Q - W
Q = ΔU + W
Where, "ΔU" is "change in internal energy", "Q" is "heat transferred and "W" is "work done.
Hence "Q = ΔU + W" is the equation is used to solve the questions related to "First law of thermodynamics".
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When the reflection of an object is seen in a flat mirror, the image is.
Answer:
the image is actually appearing behind the mirror, and not in the mirror.
Astronomers have discovered pulsars spinning 500 x per second or more. How do astronomers think pulsars got to be spinning so outrageously fast
Astronomers think pulsars got to be spinning so outrageously fast because of the stars near them, which leave substances on the pulsar.
What is pulsars spinning?Generally, Pulsars are simply defined as fast revolving neutron stars created in supernova explosions, which happen when a huge star dies and bursts.
In conclusion, This burst gives of a large amount of energy.
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A weightlifter holds a barbell motionless at her chest as she prepares to lift it over her head. The work done by the weightlifter to hold the barbell in this position is
Answer:
it's a bit of a trick question
Explanation:
W = distance X force
when the distance is zero, the work is zero. So when she holds the weight without moving them she is doing no work. But, to be fair, that's just the wording, what "work" means. she is actually producing a force, that is equal to the weight of the barbells, to hold them against the graviational force.
9. As a cold front passes a New York weather station,
which changes will usually be observed in barometric
pressure and air temperature?
A) Pressure rises and temperature falls.
B) Both pressure and temperature rise.
C) Both pressure and temperature fall.
D) Pressure falls and temperature rises.
When the cold front or wind passes weather station, the pressure increases whereas the temperature increases.
What happen when cold front passes a New York weather station?Pressure rises and temperature falls as a cold front passes a New York weather station because wind apply pressure on the objects when they blow. If the wind is cold then the temperature decreases.
So we can conclude that when the cold front or wind passes weather station, the pressure increases whereas the temperature increases.
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What would be the final velocity, in m/s, if a disk of the same mass and radius as the hoop rolled down the hill?.
The final velocity will be [tex]\rm V= \sqrt{\frac{4gh}{3} }\ m/sec[/tex]. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
What is velocity?The change of distance with respect to time is defined as speed.
From the law of conservation of energy:
[tex]\rm KE_i + PE_i = KE_f+PE_f \\\\ 0+mgh = \frac{1}{2} mV^2 +\frac{1}{2} I\omega^2[/tex]
The moment of inertia of the disc;
[tex]\rm I= mr^2[/tex]
It can also be found as;
[tex]\rm I = \frac{V}{r} \\\\[/tex]
Put the obtained values;
[tex]mgh = \frac{1}{2} mv^2+\frac{1}{2} mv^2=mv^2\\\\ mgh = mv^2 \\\\ v=\sqrt{gh}[/tex]
if a disk of the same mass and radius as the hoop rolled down the hill;
[tex]mgh= \frac{1}{2} M+\frac{mr^2}{2r^2} V^2 \\\\ gh = \frac{3}{4} V^2 \\\\ V= \sqrt{\frac{4gh}{3} }\ m/sec[/tex]
Hence the final velocity will be [tex]\rm V= \sqrt{\frac{4gh}{3} }\ m/sec[/tex].
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Which sound wave has higher pitch
Can you also compare the loudness of both
Answer:
Below one has higher pitchLoudness is roughly the sameExplanation:
Pitch depends on frequencyThe below one has a higher frequency, hence it has a higher pitchThe loudness depends on the amplitudeThe amplitude here in the two is roughly the same as the height of the waves are similar8TH GRADE SCIENCE PLEASE HELPPP
Answer:
The two helicopters have the same kinetic energy, but a different GPE, or gravitational potential energy.
Explanation:
What is the appropriate distance for social space?.
Answer:
Social distance ranges from 4 to 8 feet (1.2 m - 2.4 m) away from the person and is reserved for strangers, newly formed groups, and new acquaintances. Neuropsychology describes personal space in terms of the kinds of 'near-ness' to the body. 1.
Examine the distance-time graph.
Which line represents travel at the fastest speed? Justify your answer.
Answer:
A
Explanation:
because it is accelerating and as the vehicle accelerates the speed increas
a sound is first produced by making something BLANK the sound then travels through a BLANK to reach the ears, which are the parts of the body that allow for sounds to be heard
Answer:
vibrate, medium.
Explanation:
Edge, 2022.
Which are thought to have formed farthest from the sun?.
a toy airplane takes off and flies for a distance of 34 meters at an angle of 26 degrees above the horizontal. what is its altitude when it has flown this distance?
Answer:
Explanation:
14.9m
The altitude when the airplane flies a distance of 34 m is equal to 14.9 m.
What is the distance?The distance of an object can be demonstrated as the total length traveled by an object. The distance can be defined as a scalar parameter as it has magnitude, not direction. The distance by an object is always positive (+ve), it can never be zero.
Given, the airplane traveled the distance, BC = 34m as shown in the attached diagram, below:
The angle of the path with horizontal, θ = 26°
From the right angle triangle ΔCBA, we can calculate the BC:
Sin θ = BC/AC
Sin 26° = x/34
x = sin 26° ×34
x = 0.438 × 34
x = 14.9 m
Therefore, the altitude when an airplane has flown this distance is 14.9 m.
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Energy is the capacity to do work or
produce a change. Energy of position is
called potential energy. Energy of motion
is called kinetic energy.
Which situation best illustrates potential
energy being converted into kinetic
energy?
(1) a baseball landing on the ground
(2) a car coming around a corner
(3) turning off an electric lamp
(4) an apple falling from an apple tree
(5) a jogger running in a race
Answer:
4
Explanation:
Apple initially has Potential energy due to it's height and mass
as it falls this PE is converted to KE
An apple falling from an apple tree illustrates potential energy being converted into kinetic energy. So, the correct option is (D).
What is Potential and Kinetic Energy?Kinetic energy is a type of energy which is possessed by an object due to its motion while Potential energy is the type of energy possessed by an object due to its position or state.
While kinetic energy is relative to the position of other objects in its environment, potential energy is completely independent of its environment.
Kinetic energy can be transferred from one moving object to another while potential energy cannot be transferred. The formula of Kinetic energy is [tex]1/2 mv^2[/tex] while the formula of Potential energy is mgh where m is the mass, v is the velocity, h is the height of an object and g is the acceleration due to gravity. S.I. unit of both is Joules (J). In the given information, the apple which is on the tree is in rest mode i.e. potential energy falls from the tree, changing its motion i.e. kinetic energy.
Thus, an apple falling from an apple tree illustrates potential energy being converted into kinetic energy. So, the correct option is (D).
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PLEASE ANSWER QUICKLY
Answer:
the third one
Explanation:because coal cause more pollition
find the work done by the engine of a car which moves at an acceleration of 3 m / s2 for 8s. the mass of the car is 1400 kg, while the coefficient of fecundation of its wheels with the road is 0.03.
Explanation:
so that u multiple in this formula
Answer:
362.88 kJExplanation:
Given
a = 3 m/s²t = 8 sm = 1400 kgμ(k) = 0.03Finding Displacement
S = ut + 1/2at²S = 0 + 1/2(3)(8)²S = 32(3) = 96 mFinding Net Force
Applied Force (F) = ma = 1400 x 3 = 4200 NFriction Force (f) = μmg = 0.03 x 1400 x 10 = 420 NNet Force = F - f = 4200 - 420 = 3780 NWork Done
W = FS = 3780 N x 96 mW = 362880 JW = 362.88 kJWhich circuit has the largest equivalent resistance?.
What is the difference between synchronous and asynchronous?.
Answer:synchronous communications are scheduled, real-time interactions by phone, video, or in-person. Asynchronous communication happens on your own time and doesn't need scheduling.
Explanation:
All masses cannot be measured in kilogram, why ?
Answer:
We cannot measure all masses in kg, because there are very small quantities like 1gm nd even smaller, and this will not be an accurate measurement in Kg.
A footballer kicks a football of mass 430 g and it flies off at a speed of 8 m/s. What is the KE of the football?
Answer:
13.76 Joules
Explanation:
The SI units for joules are defined to be kilogram*meters per second. Therefore, we must turn the grams to kilograms by dividing the answer by 1,000. This is due to 1,000 grams being in a single kilogram. Kinetic energy is defined to be:
[tex]KE=\frac{1}{2} mv^2[/tex]
Therefore:
[tex]KE=\frac{1}{2} (0.43kg)(8m/s)^2=13.76J[/tex]