Speed in kilometers per hour (km/h) = 32.0 mi/h x 1.60934 km/mi = 51.50 km/h. Speed in meters per second (m/s) = 51.50 km/h ÷ 3.6 = 14.31 m/s.
To convert the speed of the bicyclist from miles per hour to kilometers per hour, we need to multiply the given speed by a conversion factor of 1.60934 (since 1 mile is equal to 1.60934 kilometers). Therefore:
(a) Speed in kilometers per hour (km/h) = 32.0 mi/h x 1.60934 km/mi = 51.50 km/h
To convert the speed from kilometers per hour to meters per second, we need to divide the given speed by another conversion factor of 3.6 (since there are 3.6 seconds in an hour). Therefore:
(b) Speed in meters per second (m/s) = 51.50 km/h ÷ 3.6 = 14.31 m/s
Therefore, the bicyclist in the Tour de France has a speed of 51.50 km/h in kilometers per hour and 14.31 m/s in meters per second while traveling on a flat section of the road at a speed of 32.0 miles per hour.
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15. When you cannot stop safely at a yellow traffic light before entering an intersection, ______________. A. stop in the intersection as soon as the light turns red B. accelerate so you'd cross the intersection before the light turns red C. enter the intersection carefully and continue across
Answer: When you cannot stop safely at a yellow traffic light before entering an intersection, enter the intersection carefully and continue across.
Explanation: To find the correct answer, we need to know more about the traffic signal rules.
What is the traffic signal rules?Red light- Indicator for the motorists to stop.Green-Signal for safety and word GO.Yellow- This signal let you know that the red signal is about to be displayed.when it's turned on, you can start slowing down to come to a stop in anticipation of red light.when we cannot stop safely at a yellow traffic light before entering an intersection, enter the intersection carefully and continue across.Thus, we can conclude that, the option C is correct.
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Water falls without splashing at a rate of 0.400 L/s from a height of 2.20 m into a 0.720-kg bucket on a scale. If the bucket is originally empty, what does the scale read 3.60 s after water starts to accumulate in it
The reading of the scale after 3.6 seconds is 23.79 N.
Velocity of the water
v = √2gh
v = √(2 x 9.8 x 2.2)
v = 6.57 m/s
Rate of change of momentum of the water after impactmv/t = F = 0.4 x 6.57 = 2.628 N
Weight of the bucketWb = 0.72 x 9.8
Wb = 7.056 N
Weight of the accumulated waterWa = (RT)g
Wa = (0.4 x 3.6) x 9.8
Wa = 14.11 N
Reading of the scaleR = Wa + Wb + F
R = 14.11 N + 7.056 N + 2.628 N
R = 23.79 N
Thus, the reading of the scale after 3.6 seconds is 23.79 N.
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An air conditioner runs 15 minutes each hour on a hot summer day. It is on a 240 volt circuit and uses 21 amps. Rate is $.10/kWh
How much does it cost to run for one day? Round to the nearest cent. $Answer
Answer:
Approximately [tex]\$ 3.02[/tex].
Explanation:
Note that the electric rate in this question is in the unit dollar-per-[tex]{\rm kWh}[/tex], where [tex]1\; {\rm kWh}[/tex] is the energy to run an appliance of power [tex]1\; {\rm kW}[/tex] for an hour.
Number of minutes for which the air conditioner is running in that day: [tex]15 \times 24 = 360\; \text{minute}[/tex]. Apply unit conversion and ensure that this time is measured in hours (same as the unit of the electric rate.)
[tex]\begin{aligned} \text{time} &= 360\; \text{minute} \times \frac{1\; \text{hour}}{60\; \text{minute}} = 6\; \text{hour} \end{aligned}[/tex].
The power of this air conditioner is:
[tex]\begin{aligned} \text{power} &= \text{voltage} \times \text{current} \\ &= 240\; {\rm V} \times 21\; {\rm A} \\ &= 5040\; {\rm W} \\ &= 5.04\; {\rm kW} \end{aligned}[/tex].
Thus, the energy that this air conditioner would consume would be:
[tex]\begin{aligned}\text{energy} &= \text{power} \times \text{time} \\ &= 5.04\; {\rm kW} \times 6\; \text{hour} \\ &= 30.24\; {\rm kWh} \end{aligned}[/tex].
At a rate of [tex]0.1[/tex] dollar-per-[tex]{\rm kWh}[/tex], the cost of that much energy would be approximately [tex]3.02[/tex] dollars (rounded to the nearest cent.)
These clouds are shaped like a column. they can start low and can stretch high in the sky. which forms of precipitation may occur from this type of clouds?
The form of precipitation which may occur from this type of clouds is cumulus clouds.
What is precipitation cloud?Precipitation cloud is the cloud from which rain falls or looks likely to fall.
Below are some types of precipitation:
Hail precipitationSnow precipitationSnow grains precipitationIce crystal precipitationRain precipitationDrizzlePrecipitation refers to any or all of the forms of water particles, whether liquid or solid, that fall from the atmosphere such as; rain, hail, snow or sleet).
It is a major class of hydrometeor, but it is distinguished from cloud, fog, dew, rime, frost, etc., in that it must fall. It is distinguished from cloud and virga in that it must reach the ground.
Cloud refers to visible mass of water droplets suspended in the air.
In conclusion, the form of precipitation which may occur from this type of clouds is cumulus clouds
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State Newton's second law of motion and establish the relation F = m x a
F = ma is the formula of Newton's Second Law of Motion. Newton's Second Law of Motion is described as Force is equal to the rate of change of momentum. For a constant mass, force equals mass duration acceleration.
What is the significance of Newton's second law of motion explain?
Newton's Second Law of Motion F=ma is very significant because it indicates the relationship between forces and motion. It permits you to calculate the acceleration (and therefore velocity and position) of an object with known forces. This is extremely helpful for scientists, engineers, inventors, etc.
Force is directly proportional to Shift in momentum ÷ Time taken.Therefore : F is directly proportional to m×a. This relation F is directly proportional to m×a can be turned into an equation by placing in a constant k.
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A satellite with a mass of 110 kg and a kinetic energy of 3.0 ´ 109 J must be moving at a speed of
Answer: A satellite with a mass of 110 kg and a kinetic energy of 3.08×10^9 J must be moving at a speed of 7483 m/s.
Explanation: To find the answer we need to know about the kinetic energy of a body.
How to solve the problem the equation of kinetic energy?We have the expression for kinetic energy of a body as,[tex]KE=\frac{1}{2}mv^2[/tex]
Given that,[tex]m=110kg\\KE=3.08*10^9J\\[/tex]
We have to find the speed of the satellite,[tex]v=\sqrt{\frac{2KE}{m} } =\sqrt{\frac{2*3.08*10^9}{110} } =7.483*10^3 m/s[/tex]
Thus, we can conclude that, the velocity of the satellite will be 7438m/s.
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In order to move at a speed of 7483 m/s, a satellite with a mass of 110 kg and a kinetic energy of 3.08× 10^-9 J must be travelling.
Understanding a body's kinetic energy is necessary in order to determine the solution.
How can the kinetic energy equation be solved?The phrase "kinetic energy of a body" might be used as,[tex]KE=\frac{1}{2}mV^2[/tex]
Given that,[tex]m=110kg\\KE=3.08*10^9J[/tex]
We must determine the satellite's speed.[tex]V=\sqrt{\frac{2KE}{m} }=7.48km/s[/tex]
Thus, we can infer that the satellite will move at a speed of 7438 m/s.
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The speed of water flowing through a hose increases from 2.05 m/s to 31.4 m/s as it goes through the nozzle. What is the pressure in the hose, assuming the absolute pressure in the nozzle is atmospheric pressure
The pressure in the hose as the speed of water changes from 2.05 m/s to 31.4 m/s as it goes through the nozzle is 5.92 × 10⁵ N/m².
Given:
The flow of water through the hose initially, v₁ = 2.05 m/s
The flow of water through the hose initially, v₂ = 31.4 m/s
Calculation:
From Bernoulli's equation we have:
P₁ + 1/2 ρv₁² + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂
where P₁ is atmospheric pressure
P₂ is the pressure in the hose
ρ is the density of the fluid
h₁ is the initial height
h₂ is the final height
v₁ is the initial velocity of the fluid
v₂ is the final velocity of the fluid and
g is the acceleration due to gravity
Re-arranging the above equation we get:
P₂ = P₁ + 1/2 ρ(v₁²-v₂²) + ρg (h₁-h₂)
Applying values in the above equation we get:
P₂ = P₁ + 1/2 ρ(v₁²-v₂²) + ρg (0)
= (1.01 × 10⁵ Pa)+ 1/2 (10³ g/m³) [(31.4m/s)²-(2.05 m/s)²]
= (1.01 × 10⁵ Pa)+ 1/2 (10³ g/m³) [981.7575]
= (1.01 × 10⁵ Pa)+ (4.91 × 10⁵ Pa)
= 5.92 × 10⁵ Pa
= 5.92 × 10⁵ N/m²
Therefore, the pressure in the hose is 5.92 × 10⁵ N/m².
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he most accurate place to conduct a weight check is: Select one: At the surface, at the beginning of the dive. At the deepest point reached during the dive. At safety-stop depth, at the end of the dive. None of the above.
The most accurate place to conduct a weight check is at safety-stop death, at the end of the dive.
Why is a weight check important in diving?
A weight check before diving helps an individual decide on the right amount of weight needed for each scuba dive.
To do a weight check one must float upright on the surface, head placed above water. The individual then needs to release some air from their Buoyancy compensator as they take a deep breath from their regulator.
Now if the individual sinks rapidly below the surface, they are overweight and if their head stays above the water surface, then they are underweight. Thus, when an individual sinks up to the mask level, then the weight is just right.
Therefore, the most accurate place to conduct a weight check is at safety-stop depth, at the end of the dive.
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Cytosine is methylated resulting in 5-methylcytosine. What is the most likely outcome?.
Answer: Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
Explanation: To find the answer, we need to know more about the methylation of cytosine.
What is methylation of cytosine?Methylation means the addition of a methyl group on a substrate of an atom.It's a form of alkylation, here a methyl group replaces a hydrogen atom.Methylation of cytosine occurs at CpG palindrome in DNA.When cytosine is methylated to produce 5- methyl cytosine, which results in a decrease in gene expression.Thus, we can conclude that, Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.
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Three charges, qA is +6.0 μC, qB is –5.0 μC, and qc is +6.0 μC, are located at the corners of a square with each side length at 5.0 cm as shown in the diagram. Calculate the electric field at point D.
The net electric field at point D is determined as 3.95 x 10⁷ N/C.
Electric field at D due to charge A
E = kq/r²
where;
r is the distance between A and Dq is charge AE(AD) = (9 x 10⁹ x 6 x 10⁻⁶)/(0.05²)
E(AD) = 2.16 x 10⁷ i N/C
Electric field at D due to charge B
E = kq/r²
where;
r is the distance between A and Bq is charge Br² = 5² + 5²
r² = 50
r = √50
r = 7.07 cm
E(BD) = (9 x 10⁹ x 5 x 10⁻⁶)/(0.0707²)
E(BD) = 9 x 10⁶ N/C
in x - direction = 9 x 10⁶ N/C x cos(45) = 6.36 x 10⁶ i N/C
in y - direction = 9 x 10⁶ N/C x sin(45) = 6.36 x 10⁶j N/C
Electric field at D due to charge CE = kq/r²
where;
r is the distance between C and Dq is charge CE(CD) = (9 x 10⁹ x 6 x 10⁻⁶)/(0.05²)
E(CD) = 2.16 x 10⁷ j N/C
Net electric field in x directionEi = 2.16 x 10⁷ i N/C + 6.36 x 10⁶ i N/C
Ei = 2.796 x 10⁷ i N/C
Net electric field in y directionEj = 2.16 x 10⁷ j N/C + 6.36 x 10⁶j N/C
Ej = 2.796 x 10⁷ j N/C
Resultant electric field at DE = √Ei² + Ej²
E = √[(2.796 x 10⁷)² + (2.796 x 10⁷)²]
E = 3.95 x 10⁷ N/C
Thus, the net electric field at point D is determined as 3.95 x 10⁷ N/C.
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How does head to tail rule helps us to find the resultant of forces ?? Explain with the help of a diagram.
Head to tail rule helps us to find the resultant of forces because in this rule we join many vectors with each other forming resultant vector.
What is head to tail rule?
The joining of tail of the first vector with the head of the second vector represents the resultant vector whereas the direction of the resultant vector is from the tail of the first vector towards the head of the second.
So we can conclude that Head to tail rule helps us to find the resultant of forces because in this rule we join many vectors with each other forming resultant vector.
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What is constant in the horizontal direction for a projectile?
Answer:
initial velocity is the constant in horizontal projectile
Calculate the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 mhz
The wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is 1.978 meter
According to the question
The frequency of a photon of electromagnetic radiation = 151.7 Mhz
By using the Formula of wavelength and frequency
λ = C/f
Where,
λ (Lambda) = Wavelength in meters
C = Speed of Light (c = 3x10⁸ m/s)
f = Frequency
Now, the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is
1 Mhz = 1000000 Hz
151.7 Mhz = 151.7 * 10⁶ Hz
λ = C/f
Substituting the value of C and f
λ = [tex]\frac{3*10^{8} }{151.7 * 10^{6} }[/tex]
λ = 1.978 meter
Hence, the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is 1.978 meter
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When starting a foot race, a 64 kilogram sprinter exerts an average force of 693 newtons backward on the ground for 0.59 seconds. how far does he travel in meters during this time?
The distance traveled by the sprinter in meters is determined as 1.88 m.
Acceleration of the sprinterThe acceleration of the sprinter is the rate of change of velocity of the sprinter with time.
The acceleration of the sprinter is calculated as follows;
Apply Newton's second law of motion as follows;
F = ma
a = F/m
where;
F is the applied force by the sprinterm is mass of the sprintera is acceleration of the sprintera = 693 N / 64 kg
a = 10.83 m/s²
Distance traveled by the sprinterThe distance traveled by the sprinter is calculated as follows;
s = ut + ¹/₂at²
where;
u is initial velocity = 0s = ¹/₂at²
where;
t is time of motiona is accelerations = (0.5)(10.83)(0.59²)
s = 1.88 m
Thus, the distance traveled by the sprinter in meters is determined as 1.88 m.
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The density of mobile electrons in copper metal is 8.4 1028 m-3. Suppose that i = 9.0 1018 electrons/s are drifting through a copper wire. (This is a typical value for a simple circuit.) The diameter of the wire is 3.6 mm. In this case, about how many minutes would it take for a single electron in the electron sea to drift from one end to the other end of a wire 35 cm long? minutes
It would take 531 minutes for a single electron in the electron sea to drift from one end to the other end of a wire 35 cm long.
What is electric current?
A rate of electric charge flowing past a place or region is called an electric current. A net passage of electric charge through a region creates an electric current.
Here,
ρ is the density of electrons = 8.4×10²⁸ kg/m³
i is the electric current =9.08×10¹⁸ electrons/sec
d is the diameter of the wire =3.6 mm = 0.0036 m
r is radius, r = d/2, r = 1.8 mm = 0.0018 m
l is the length of wire = 34 cm = 0.34 m
v is The volume of the wire
We know that Volume:
V = π r^2* l
V = (3.14* 0.0018^2) 0.34
V = 3.45* 10^-6 m³
Now,
no of electrons= ρ × V
n = 8.4×10²⁸ * 3.45* 10^-6
n = 2.898 * 10^ 23
The time required for the drifting electron is equal to the ratio of the number of electrons to the electric current flows.
T = n/i
T = 2.898 * 10^ 23 / 9.08×10¹⁸
T = 0.3191 * 10^5 s
T = 531 minutes
Hence,
It would take 531 minutes for a single electron in the electron sea to drift from one end to the other end of a wire 35 cm long.
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In addition to ozone, what four other greenhouse gases or groups of greenhouse gases are included in nearly all the climate models?
In addition to ozone, the four other greenhouse gases or groups of greenhouse gases are included in nearly all the climate models are Carbon dioxide, water vapor, and methane, nitrous oxide.
Carbon dioxide, absorbs energy at a variety of wavelengths, a range that overlaps with that of infrared energy. As CO2 soaks up this infrared energy, it vibrates and re-emits the infrared energy back in all directions. About half of that energy goes out into space, and about half of it returns to Earth as heat, contributing to the ‘greenhouse effect.’
As methane is emitted into the air, it reacts in several ways. It reacts and after oxidization methane forms water vapor and carbon dioxide. So, not only does methane contribute to global warming directly but also, indirectly through the release of carbon dioxide.
Nitrous oxide enhances the greenhouse effect by capturing reradiated infrared radiation from the Earth’s surface and subsequently warming the troposphere . It is chemically inert in the troposphere and stays in the troposphere for about 120 years before moving into the stratosphere where it ultimately leads to destruction of stratospheric ozone.
Water vapor does absorb longwave radiation and radiates it back to the surface, thus contributing to warming.
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Basic elements for every contract include
1) an offer,
2) acceptance,
3) ___________,
4) with legal capacity, for a legal purpose
The basic elements for every contract include
1) an offer,
2) acceptance,
3) Awareness
4) with legal capacity, for a legal purpose
What is a contract?A contract is an agreement between two or more parties, to perform a specific job or duty. A contract is usually temporary or of fixed duration and usually governed by a written agreement.
The basic elements every contract should contain are as follows:
An offer, which encompasses the duties and responsibilities of each partyAcceptance; the offeree must decide whether to accept or reject the proposal/offer. Awareness; for a contract to be binding, the involved parties must first be aware that they are entering into an agreementLegal capacity; all contracts are subject to the laws of the jurisdiction in which they operateLearn more about contract at: https://brainly.com/question/2669219
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A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. (a) After 4.00 s, what is the speed of the mailbag? v = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.53 m/s?
Answer: A small mailbag is released from a helicopter that is descending steadily at 1.53 m/s. Then,
a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.
b)78.4m downwards.
c) v=37.67m/s downward. and d=78.4m downward.
Explanation: To find the answer, we need to know more about the equations of uniformly accelerated motion.
What are the equations of uniformly accelerated motion?The equations of uniformly accelerated motion under gravity are,[tex]v=u+at\\S=ut+\frac{1}{2}at^2\\ v^2-u^2=2aS\\S=\frac{v+u}{2}t[/tex]
How to solve the problem?a) speed of the mailbag after 4s,[tex]v=u+gt=-1.53-(9.8*4)=-40.73 m/s^2[/tex]
b) How far it is below the helicopter,[tex]d_1=ut+\frac{1}{2}gt^2=(-1.53*4)+\frac{-9.8*16}{2} =-84.52 m\\d_2=vt=-40.73*4=-162.92 m\\d=-162,92+84.52=-78.4m[/tex]
c) If the helicopter is rising steadily, then v and d will be,[tex]v=u+gt=1.53-(9.8*4)=-37.67 m/s[/tex]
[tex]d_1=ut+\frac{1}{2}gt^2=(1.53*4)+\frac{-9.8*16}{2} =-72.28 m\\ d_2=vt=-37.67*4=-150.68 m\\d=-150.68+72.28=-78.4 m[/tex]
Thus, we can conclude that, the answers to the question are, a) after 4s, the speed of the mailbox will be, 40.73m/s downwards.
b)78.4m downwards.
c) v=37.67m/s downward. and d=78.4m downward.
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Use Hooke's Law to determine the variable force in the spring problem. A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 7 inches
Work done in compressing spring = 40.833
It simply needs a three-inch compression by applying a compressive force to a 15-inch long spring. we know that F(x)=kx. To act in displacement X and the poles' values cannot be substituted. Consequently, there will be 4. The spring constant K is therefore equal to 5, so. Three fit within this slot. We consequently derive the compressing spring constant K from this. , which is 5, 3. Now change this formula to include the value of the compressing spring constant. Four f will therefore equal 5.3 x and vice versa. Integration of four factors equals W.
In order to ensure the limit and further all of this, we currently have the range 0–7. Thus, this compressing spring task is completed. W is equal to 40.833
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The coils in a motor have a resistance of 0.14 Ω and are driven by an EMF of 62 V.
The back EMF induced in the motor is 37 V. Calculate the difference in power
required by the motor at start up and at operating speed
The difference in the power required by the motor at start up and at operating speed is 9778.57
What is power?This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:
Power (P) = voltage (V) × current (I)
P = IV
Power = square voltage (V²) / resistance ®
P = V² / R
How to determine the power by the EMFVoltage (V) = 37 VResistance (R) = 0.14 Ω Power by EMF (P₁) =?P = V² / R
P₁ = 62² / 0.14
P₁ = 27457.14 watts
How to determine the power by the back EMFVoltage (V) = 62 VResistance (R) = 0.14 Ω Power by back EMF (P₂) =?P = V² / R
P₂ = 37² / 0.14
P₂ = 9778.57 watts
How to determine the power differencePower by EMF (P₁) = 27457.14 wattsPower by back EMF (P₂) = 9778.57 wattsDifference in power =?Difference = P₁ - P₂
Difference in power = 27457.14 - 9778.57
Difference in power = 17678.57 watts
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Chicago, il is currently in the e climate zone.
a) true
b) false
Answer:
false
Explanation:
What happens when the
atoms in a magnetic material
are lined up?
A. It is magnetic.
B. It is not magnetic.
C. The arrangement of the atoms does not
affect the magnetism of the material.
option (a)i.e, It is magnetic when the atoms in a magnetic material are lined up.
Magnetic fields can be represented visually using magnetic field lines. In each case, they specify the direction of the magnetic force acting on a north monopole. The lines' density reveals how large the field is. For example, the magnetic field is more intense and dense near a magnet's poles.
The spin and orbital momentum of an atom's electrons produce magnetism. The term "magnetic anisotropy" refers to how an atom's magnetic characteristics change depending on how the orbits of its electrons are oriented in relation to the composition of a substance. Additionally, it gives magnetization directionality and stability
Each atom creates a tiny magnetic field because the orbiting electrons are tiny moving charges. The direction or orientation of these magnetic fields is referred to as the atom's magnetic moment. In a nutshell, an object's atoms behave like a number of small magnets.
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There are many muscles in our body. our body uses muscles to move parts of our body. a part that needs to move a lot will have a higher number of muscles. which of the following parts is most likely to have the most muscles? a. ear lobe b. stomach c. teeth d. brain
Option b) Stomach is most likely to have the most muscles.
There are five main muscles in stomach pyramidalis, rectus abdominus, external obliques, internal obliques, and transversus abdominis.
Muscles circulate frame parts by contracting after which relaxing. muscular tissues can pull bones, however, they cannot push them to return to their unique role. so they paintings in pairs of flexors and extensors. The flexor contracts to bend a limb at a joint.
The muscle groups that circulate our frame elements are called skeletal muscles, and they're a form of striated muscle. We will actively manipulate those with our brains. another sort of striated muscle is those that maintain our hearts pumping, which we are not able to actively control.
Muscles pull at the joints, allowing us to move. a couple of muscular tissues are used for any sort of motion of a bone. Although we are sitting flawlessly nevertheless, muscle tissues at some point in the frame are constantly shifting.
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Two boys with masses of 40 kg and 60 kg stand on a horizontal frictionless surface holding the ends of a light 10-m long rod. The boys pull themselves together along the rod. When they meet the 40-kg boy will have moved what distance?.
when they meet the 40-kg boy will have moved a distance of 6 m.
What is friction force:Friction is the force that resists motion when the surface of one object comes in contact with the surface of another.
The principle of center mass.It is the average position of all the parts of the system, weighted according to their masses.
here,
masses of the boys
M=40 kg,
m=60 kg
x1 = 10 m
The displacement of the 40 kg boy is calculated from the principle of center mass.
XM = ( mx1 + Mx2) / ( m + M )
X(40) = (60 x 10 + 40 x 0) / (40 kg + 60 kg)
X(40) = (600)/(100)
X(40) = 6 m
X(60) = (60 x 0 + 40 x 10 m) / (40 kg + 60 kg)
X(60) = (400)/(100)
X(60) = 4 m
Thus,
when they meet the 40-kg boy will have moved a distance of 6 m.
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A gymnast initially has a moment of inertia of 6 kgm^2 and rotation rate of 12rad/s. His rotation rate slows to 8rad/s because he extends his arms and legs. What is his new moment of inertia
The new moment of inertia of the gymnast is 9kgm^2.
To find the answer, we need to know about the conservation of angular momentum.
What's conservation of angular momentum?It says the angular momentum of a rotating body remains conserved until an external torque is applied on it. Angular momentum= moment of inertia × angular velocity = I×wWhat's the final moment of inertia of the gymnast, if his initial moment of inertia, initial angular velocity and final angular velocity are 6 kgm^2, 12rad/s and 8rad/s respectively?Let I₁= 6 kgm^2, w₁= 12rad/s, w₂= 8rad/s and I₂= final angular velocityFrom conservation of angular momentum,I₁×w₁= I₂×w₂
I₂= I₁×w₁/w₂
= (6×12)/8
= 9kgm^2
Thus, we can conclude that the new moment of inertia of the gymnast is 9kgm^2.
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Tuning forks with a frequency of 500 to 1000 hz are most commonly used to measure:________
Tuning forks with a frequency of 500 to 1000 hz are most commonly used to measure: hearing loss
A person is said to have hearing loss if they are not able to hear as well as someone with normal hearing, meaning hearing thresholds of 20 dB or better in both ears. It can be mild, moderate, moderately severe, severe or profound, and can affect one or both ears.
High-pitched tuning fork with frequency of 500 to 1000 hertz (Hz) should be used to estimate hearing loss in range of normal speech (300 to 3000 Hz).
The 512-Hz Rinne tuning fork test could be very effective at detecting conductive hearing losses when performed by an experienced tester and when masking was used . Tuning forks are used to carry Rinne and Weber tests. These tests provide a quick easy method of determining whether a hearing loss is situated in the middle ear or inner ear
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A carnival ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What is the acceleration of a passenger at his lowest point during the ride?.
The acceleration of the person is 4.108 m/s^2.
What is acceleration?
The acceleration is the rate of change in the velocity in a unit of time.
Angular velocity: The change in angular displacement in a unit of time is called angular velocity.
Tangential velocity: The tangential velocity can be defined as the velocity of an object which is perpendicular to the radius in the rotational motion.
The relation between angular velocity ω, tangential velocity v, and radius r from the axis when the radius is perpendicular to the tangential velocity is,
v=ω*r
Given r=15 m, and ω=5 turns/minutes, substitute these values in the above formula.
Note: 1 turn/minute = 2π/60 rad/s.
v=(5 turns/minutes)*15 m
v=(5*2π/60 rad/s)* 15 m
v=7.85 m/s
Since the motion is circular, and the person is at the lowest point of the wheel, so the acceleration due to gravity will have no effect as it is perpendicular to tangential velocity here. The acceleration a for rotational motion is given by,
a=v^2/r
Substitute v=7.85 m/s, and r=15 m in this equation and solve it.
a=(2.094)^2/(15)
a=4.108 m/s^2
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what was kobes passion for sports
(a) Circular metal wires in electrical circuits may have different cross-sectional areas (different diameters) and different lengths. For a given applied voltage, how would the joule heat vary with these parameters
For the different wires the values given are
For Wire A, Area=[tex]A_{A}[/tex], Resistivity=[tex]ρ_{A}[/tex], Length= [tex]L_{A}[/tex], Heat=[tex]H_{A}[/tex], Voltage= V, Time= t, Wire B, Area=[tex]A_{B}[/tex], Resistivity=[tex]ρ_{B}[/tex], Length= [tex]L_{B}[/tex], Heat=[tex]H_{B}[/tex]
So, [tex]H_{A}[/tex]/ [tex]H_{A}[/tex]=[tex]\frac{V^{2} *t}{\frac{ρ(1)*L_{A} }{A_{A} } }[/tex]/[tex]\frac{V^{2} *t}{\frac{ρ(2)*L_{B} }{A_{B} } }[/tex]
Therefore [tex]H_{A}[/tex]/ [tex]H_{A}[/tex]= [tex]\frac{A_{A}*ρ_{B} *L_{B}}{A_{B}ρ_{A} L_{A} }[/tex]
HeatThe type of energy that moves between two materials with varying temperatures is referred to by scientists as heat. Because the average translational kinetic energy per molecule in the two materials varies, an energy transfer takes place. Up until thermal equilibrium is attained, heat is transferred from the substance with the higher temperature to the material with the lower temperature. The joule, with 1 joule equalling 1 newton meter, is the SI unit of heat. Imagine the following situation to better comprehend what happens when this energy transfer takes place: Tiny rubber balls are bouncing all over two distinct containers that are full with them. The difference between the average ball speed in one container and the second container is substantial.
(a) Circular metal wires in electrical circuits may have different cross-sectional areas (different diameters) and different lengths. For a given applied voltage, how would the joule heat vary with these parameters
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A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 78 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground
Answer:
Error
Explanation:
Speed= Distance / Time
Speed = 0.1