Answer:
The equation for the total mechanical energy of an object in SHM is:
E = 1/2 kA^2
where E is the total mechanical energy, k is the spring constant, and A is the amplitude.
To solve the problem, we need to find the spring constant of the oscillator:
f = 1/T
where f is the frequency and T is the period.
T = 1/f = 1/0.60 = 1.67 s
The angular frequency of the oscillator is:
ω = 2πf = 2π/T = 3.76 rad/s
The spring constant of the oscillator is:
k = mω^2 = 0.35 x (3.76)^2 = 4.97 N/m
i) The maximum kinetic energy of the object is equal to the maximum potential energy, which is:
Emax = 1/2 kA^2 = 1/2 x 4.97 x (0.14)^2 = 0.012 J
ii) The maximum potential energy of the object is the same as the maximum kinetic energy, which is:
Emax = 1/2 kA^2 = 1/2 x 4.97 x (0.14)^2 = 0.012 J
iii) At the mid-way point between the centre and the extremity of the motion, the displacement of the oscillator is half the amplitude, which is 70 mm or 0.07 m. At this point, the kinetic energy is zero, and the potential energy is:
E = 1/2 kx^2 = 1/2 x 4.97 x (0.07)^2 = 0.012 J
Therefore, the total mechanical energy at this point is also 0.012 J.
Pre-lubrication of the spindle will help prevent:
a. Spalling
b. Pitting
C. Seal failure
d. Fretting
Answer:
a. Spalling
A wave with a frequency of 12 Hz has a wavelength of 3 meters. At what speed will this wave travel?
Explanation:
speed = wavelength * frequency
= 3 m * 12 /s = 36 m/s
Vector A has x and y components of - 3m and 10m respectively. Vector B has x and y components of 8.5m and - 3.5m respectively. If 2A-B-4C=0. Calculate the component of vector C.
Therefore, the component of vector C is -4.125m in the x direction and 6.125m in the y direction.
What does a physics vector look like?Physical objects called vectors need both magnitude and direction. Scalars include things like height, mass, area, and volume. Vectors can take the forms of motion, velocity, and acceleration.
In order to find vector C, we can commence by rearranging the equation 2A - B - 4C = 0:
2A - B - 4C = 0
2A - B = 4C
C = (2A - B)/4
We can now determine the elements of vectors A and B:
Vector A: Ax = -3m, Ay = 10m
Vector B: Bx = 8.5m, By = -3.5m
When we enter these numbers into the vector C equation, we obtain:
Cx = (2Ax - Bx)/4 = (2(-3m) - 8.5m)/4 = -4.125m
Cy = (2Ay - By)/4 = (2(10m) - (-3.5m))/4 = 6.125m
To know more about vector visit:-
https://brainly.com/question/29708786
#SPJ9
Ocean waves are hitting a beach at a rate of 35 Hz. What is the period of these waves? A. 3.5 A b. 0.0286 s c. 2.86 A d. 0.0103 s
The period of the ocean waves hitting the beach at a rate of 35 Hz is 0.0286 seconds.
What is the relationship between frequency and period in wave motion?Frequency and period are inversely related in wave motion. The frequency of a wave is the number of complete cycles (or wave crests) that pass a point in a given time period, while the period is the time it takes for one complete cycle to occur. The period can be calculated by dividing the inverse of the frequency.
How do ocean waves form and what factors affect their characteristics?Ocean waves form due to the transfer of energy from wind to water. Factors that affect the characteristics of ocean waves include wind speed and duration, the distance over which the wind blows (known as fetch), and the depth and shape of the seafloor.
The size and shape of ocean waves can also be affected by tides, currents, and the presence of nearby land masses.
To know more about wave motion,visit:
https://brainly.com/question/12512349
#SPJ1
A 9.00 kg object is dropped from rest near the surface of an unknown planet and begins to accelerate at 6.00 m/s2. What is the weight of the object on the unknown planet? (*Remember* F=ma)
Answer:
Explanation:
since weight and force both are forces we can simply use the equation
F=ma
here ,
m=mass=9.00kg
a=acceleration=6.00m/s^2
So,
F=W=54N
At which point does puberty occur for the majority of people?
Internal energy is affected by two properties of the particles which make up a substance. Identify the two properties. A. Motion and position B. Acceleration and mass C. Specific heat capacity and volume D. State of matter and potential energy
The two properties of particles which make up a substance that affect its internal energy are:
A. Motion and position
The internal energy of a substance depends on the kinetic energy (motion) and potential energy (position) of its constituent particles. The kinetic energy of the particles determines the temperature of the substance, while the potential energy depends on the intermolecular forces between the particles.
Therefore, option A is the correct answer.
An elevator of mass 550 kg and a counter weight of 700 kg lifts 23 tired 80-kg students to the 7th floor of a dormitory 30 meters off the ground in 12 seconds. What is the power required?
(in both W and hp)
elevator of mass 550 kg and a counter weight of 700 kg lifts 23 tired 80-kg students to the 7th floor of a dormitory 30 meters off the ground in 12 seconds. then the power required to lift the 23 students to the 7th floor is 41,948.85 W or 56.22 hp.
To solve this problem, we need to use the formula for power, which is:
Power = Work/Time
We can find the work done by the elevator by using the formula:
Work = Force x Distance
The force required to lift the elevator and the counterweight is:
Force = (mass of elevator + mass of counterweight + mass of students) x g
where g is the acceleration due to gravity, which is approximately 9.81 m/s².
So the force required is:
Force = (550 + 700 + 23 x 80) x 9.81
= 16,779.54 N
The distance traveled by the elevator is 30 meters, so the work done by the elevator is:
Work = Force x Distance
= 16,779.54 x 30
= 503,386.2 J
Now, we can calculate the power required:
Power = Work/Time
= 503,386.2/12
= 41,948.85 W
To convert watts to horsepower, we can use the conversion factor 1 hp = 746 W. Therefore, the power required is:
Power = 41,948.85/746
= 56.22 hp
Learn more about power here:
https://brainly.com/question/29575208
#SPJ1
The pressure on each of the tires of a 1500-kg car is 2.2 x 10^5 Pa. If each of the tires shares an equal
load, determine the contact area of each of the tires with the road. Show your work.
Answer:
Use the formula to determine the contact area of each tire with the road.
Area divided by force yields pressure, as the equation suggests.
The weight of the car, which is 1500 kg, exerts a force on an area where pressure is at 2.2 x 10^5 Pa.
Supported by all four tires, we must first determine the total force.
Weight of car is 1500 kg multiplied by 9.8m/s^2 equals =14700 N, also known as total force.
Equally sharing the load, four tires are responsible for supporting the vehicle.
Each tire carries a force that equals the total force divided by 4, which is equivalent to 3675 N as calculated from a total force of 14700 N.
Each tire's contact area with the road can now be calculated.
3675 N divided by 2.2 x 10^5 Pa equals the area. This area can also be described as force divided by pressure.
Approximately 16.7 cm^2 or 1.67 x 10^-2 m^2 is the designated area.
The contact area between the road and each tire measures exactly 16.7 cm^2.
Activity log - Low Impact Floor Drill
Record your time and activity below and in your unit fitness log. If a particular category does not apply, leave it blank.
Date:
Warm-up:
Cool-down:
Type of Activity: (Cardiovascular, Muscular, or Flexibility)
Description of Activity and Time:
Intensity Level: (Moderate or Vigorous)
Total Time:
Based on the information, a guide on how to fill out your fitness log is given.
How to write the fitness logDate: Write the current date.
Warm-up: Indicate what type of warm-up exercise you did before the actual activity. For example, you may have stretched or walked briskly for five minutes before starting the actual exercise.
Cool-down: Indicate what type of cool-down exercise you did after the actual activity. For example, you may have stretched or walked slowly for five minutes after completing the actual exercise.
Type of Activity: Choose whether the exercise you did is cardiovascular, muscular, or flexibility training.
Description of Activity and Time: Provide a brief description of the exercise you did and how long you did it. For instance, if you did a low-impact floor drill for 30 minutes, write "Low-impact floor drill for 30 minutes."
Intensity Level: Choose whether the exercise was moderate or vigorous.
Total Time: Write the total time you spent doing the exercise, including warm-up and cool-down. For example, if you spent five minutes warming up, 30 minutes doing the actual exercise, and five minutes cooling down, write "40 minutes" as the total time.
Remember to update your fitness log regularly to monitor your progress and achieve your fitness goals.
Learn more about fitness on
https://brainly.com/question/13490156
#SPJ1
Organize the information on atomic mass to complete the outline.
Atomic mass is the mass of an atom of a chemical substance shown in atomic mass units (amu). It is the sum of the masses of protons, neutrons, and electrons in an atom.
What are protons, neutrons, mass number and atomic mass?Protons are subatomic particles with a positive charge. The total number of protons in an atom ascertains its atomic number. The nucleus of an atom contains both protons and neutrons and the latter does not have any charge. Mass number is the sum total of the number of protons and number of neutrons in an atom. Mass number is expressed as a whole number and is specific to each isotope.
Atomic mass is usually measured relative to the mass of a carbon-12 atom, which is assigned a mass of exactly 12 atomic mass units. This means that the atomic mass of other elements is given in relation to the mass of carbon-12.
Learn more about atomic mass here:
https://brainly.com/question/17067547
#SPJ1
remembering and forgetting: crash course psychology #14
Crash Course Psychology #14 focuses on the concepts of remembering and forgetting. The episode discusses various aspects of memory, such as encoding, storage, and retrieval. Encoding refers to the process of transforming information into a format that can be stored in the brain, while storage is the preservation of that information over time. Retrieval is the act of accessing and recalling stored information when needed.
Forgetting is a natural part of memory processes and can occur due to factors like decay, interference, and retrieval failure. Decay is the gradual fading of memories over time, while interference involves new information disrupting the recall of older memories. Retrieval failure happens when we are unable to access certain memories, even if they still exist in our brains.
In summary, Crash Course Psychology #14 explores the complex processes of remembering and forgetting, highlighting key concepts such as encoding, storage, retrieval, decay, interference, and retrieval failure.
For more questions on: memory
https://brainly.com/question/29608559
#SPJ11
Find the force of gravity between a newborn baby (mass = 3.5 kg
) and planet Mars (mass = 6.4×1023kg
) when Mars is at its closest to Earth (distance = 5.6×1010m
).
For solving this problem,we have to apply Newton’s law of gravitation which defines the magnitude of the force between two objects.
Gravitational Force -
[tex]\:\:\:\:\:\:\:\sf \underline{\boxed{\sf{F=G\times \dfrac{ \: m_1 \: m_2}{r^2}}}}[/tex]
Where:-
F = Force of gravity.G = Gravitational constant.(Which is 6.7 × 10⁻¹¹ Nm² kg⁻²)m₁ = Mass of one object.m₂ = Mass of the other object.r = Distance between the two objectsAs per question, we are given -
Mass of newborn baby, m₁ = 3.5kgMass of Mars, m₂ = 6.4×10²³ kgDistance, r = 5.6 ×10¹⁰mNow that required values are given, so we can substitute the values into the formula and solve for Force of gravity:-
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }= 6.7\times 10^{-11} \times \dfrac{3.5\times 6.4\times 10^{23}}{(5.6\times 10^{10})^2}\\[/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }=6.7\times 10^{-11} \times \dfrac{1400.46}{23172.08}\\[/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }=6.7\times 10^{-11} \times 0.06\\[/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf \underline{Force_{(gravity) } = 4.02\times 10^{-12}\:N}\\[/tex]
Therefore, the force of gravitation between newborn baby and Mars is 4.02 × 10⁻¹² N.Spectroscopy has much in common with what other cosmological concepts?
O
redshift and blueshift
gravity and weight
dark matter and dark energy
speed and velocity
Spectroscopy has much in common with the cosmological concept of redshift and blueshift.
What is Spectroscopy?Spectroscopy is the study of the interaction between matter and electromagnetic radiation, and it is commonly used to study the properties of stars and galaxies.
Redshift and blueshift, on the other hand, are phenomena that occur when light is emitted from an object that is moving away or towards an observer, respectively. These concepts are commonly used in cosmology to study the expansion of the universe and the motion of galaxies.
Spectroscopy can be used to measure the redshift or blueshift of light emitted from distant objects, providing valuable information about their distance, velocity, and composition.
learn about Spectroscopy here https://brainly.com/question/28457917
#SPJ1
What force is required to stop a 1800-kg car in a distance of 0.20 m if it is initially moving at 2.2 m/s? What if the car is moving at 4.5 m/s
The formula for the force required to stop the automobile is F = m x a, where m = 1200 kg and F = 1200 x (-12.5) N = - 15000 N.
What force does an automobile need to stop?As a car brakes, the rotating wheels create friction inside the wheel assemblies, bringing the vehicle to a stop. The kinetic energy of the automobile is lost as heat in the braking components due to this friction force, which slows the spinning of the wheels.
The automobile can come to a stop with any force higher than zero. The only difference is that it will take longer and cover a bigger distance before stopping.
Unless a force acts on a body, it stays at rest or moves in a straight path at a constant speed.
learn more about kinetic energy
https://brainly.com/question/25959744
#SPJ1
EARTH AND SPACE SCIENCE! PLEASE HELP! Question: You do several trials of measuring the time it takes to swing a bobber around your head for 10 times. You first use a string that is 15 cm in length. You repeat these trials with a 20 cm string. All of the following are True EXCEPT:
a.) The average revolutions per second increases as you increase the length of the string
b.)The relationship between revolutions per second AND average time should be an inverse relationship: (as one increases the other decreases)
B) The relationship between revolutions per second AND average time should be an inverse relationship: (as one increases the other decreases) is incorrect.
This is incorrect because, as the length of the string increases, the average time for 10 revolutions should increase as well. This is because the bobber has to travel farther as the string gets longer, and so it takes longer to finish 10 revolutions. Therefore, the relationship between revolutions per second and average time is not inverse; instead, it is a direct relationship. As the length of the string increases, the average revolutions per second should increase, and the average time should decrease. This means that the relationship between the two is actually a direct relationship as one increases, the other increases as well.
learn more about revolutions Refer:brainly.com/question/25591420
#SPJ1
Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride. If a boat and its riders have a mass of 1000 kg and the boat drifts in at 1.3 m/s how much work does Sam do to stop it?
Sam put in -845 J of work to halt it. Sam had to exert effort in the direction counter to the way the boat was moving, as indicated by the negative sign, which denotes that he did negative work.
How do you figure out how much labor Sam put in?One can compute the initial kinetic energy as follows:
KEi is equal to (1/2)mv2, where m is the combined mass of the boat and its riders (1000 kg), and v is the boat's initial speed (1.3 m/s).
KEi = (1/2)(1000 kg)(1.3 m/s), which equals 845 J.
The boat is brought to a stop, and as a result, its terminal velocity and kinetic energy are both zero:
KEf = 0 J
Sam put forth the following effort to stop the boat: W = 0 J - 845 J
To learn more about work done visit:
brainly.com/question/13662169
#SPJ1
Paul reported a measurement in units of hertz. What property of a wave was he measuring?*
A.Wavelength
B.Frequency
C.Period
D.Amplitude .
Answer:
B. Frequency
Explanation:
Frequency is measured in the unit Hertz (Hz).
Directions: Participate in a workout of your choice. Evaluate your activity by answering the questions below.
For this workout I did squats. Squats may aid in weight loss because they burn calories. Moreover, they reduce the possibility of knee and ankle injuries.
How did the squat exercise make you feel?When performing squats, your legs should feel fatigued. Lower back ache is a sign that you're likely doing the workout wrong. This shows that your lower back muscles are working harder than your glutes and quadriceps since they are taking the load. Pay attention to how you squat.
Squats are possible everywhere?It doesn't matter where it is—a living room, office, stairwell, park, or closet—as long as there are a few feet available. The only thing you need is your body weight.
Is it acceptable to squat without a spotter?In some instances, it is acceptable to squat without a spotter. The environment and resources you have at your disposal, though, are everything. The safest choice is to use a power rack or squat stand with adjustable safety pins, arms, or straps.
To know more about the exercise visit:
https://brainly.com/question/19787142
#SPJ1
When an individual stops working out, muscles slowly
A.
B.
C.
D
strengthen
turn into fat
lose strength
stretch out
Please select the best answer from the choices provided
A
When an individual stops working out, muscles slowly lose strength (option C).
What is work out?Working out means to strengthen or improve a part of one’s body by exercise.
Exercise is any activity intended to improve physical, or sometimes mental, strength and fitness.
Many at times, exercises carried out by individuals leads to build up of muscles. However, when they stop working out, this muscle loses strength.
Learn more about working out at: https://brainly.com/question/12768835
#SPJ1
What is the best flowers
Answer:
What are the best flowers? (My opinion)
Water liliesWhite rosesHydrangeaExplanation:
You're welcome.
Answer:
Tulips,
Lilies,
Lotuses on my opinion...
If the fundamental frequency of this harmonic is 7 Hz, at which frequency is this created? (Just type the number, not the units)
Based on the given fundamental frequency of 7 Hz, it is likely that the harmonic is a multiple of the fundamental frequency.
Harmonics are integer multiples of the fundamental frequency and can be calculated using the formula: f(n) = n * f(1), where f(n) is the frequency of the nth harmonic, and f(1) is the frequency of the fundamental harmonic.
Therefore, the frequency at which this harmonic is created will depend on the harmonic number. For example, the second harmonic would have a frequency of 14 Hz (2 * 7 Hz), the third harmonic would have a frequency of 21 Hz (3 * 7 Hz), and so on. Without knowing the harmonic number, it is not possible to determine the frequency at which this harmonic is created.
To know more about harmonic number, visit:
https://brainly.com/question/12320829
#SPJ1
Ap Dorji switched on the TV to watch the live coverage of the National Day Celebration. 10 kJ of light energy output 30 kJ of sound energy output 720 kJ of electrical energy input Calculate the efficiency of the TV
The TV's efficiency rating is 5.56%.
Does the concept of conservation of energy stipulate that the total amount of energy in a closed system stays constant?An isolated system has a constant total energy. Energy cannot be generated or destroyed; it can only be transformed from one form to another or transferred between systems. When all energy sources are considered, the overall energy of an isolated system is constant.
Efficiency is equal to (useful energy output/total energy intake) multiplied by 100%.
Useful energy output = light energy output + sound energy output
= 10 kJ + 30 kJ
= 40 kJ
Total energy input = electrical energy input
= 720 kJ
Substituting these values into the efficiency formula, we get:
Efficiency = (40 kJ / 720 kJ) x 100%
= 0.0556 x 100%
= 5.56%
To know more about efficiency rating visit:-
https://brainly.com/question/11553375
#SPJ9
a satellite moves in a circular orbit around the earth with speed V- 6000mls. Determine the satellite altitude above the earth surface and the period of the satellite's orbit the earth mass and radius are M= 5.97 x 10²⁴kg and R= 6.378 x 206m.
The satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.
What is speed?An object's speed can be defined as how quickly it is going. It measures how quickly an object travels over time. Typically, speed is measured in terms of time/distance.
How do you determine it?The speed of the satellite must first be converted from miles per second to meters per second:
V= 6000 miles per second = 9656 m/s
The orbital radius of the satellite can then be calculated using the centripetal force equation as follows:
Fc = Fg
Gm M / r² = mv² / r
r = G M / v²
where M is the earth's mass.
By entering the specified values, we obtain:
r = (5.97 x 10²⁴ kg) x (6.67 x 10⁻¹¹N m²/kg²)/ (9656 m/s)
r= 4.22 x 10⁷ meters
Hence, the satellite's height above the surface of the planet is:
height = r - R.
height= (4.22 x 10⁷ m) - (6.378 x 10⁶ m)
height is 3.58 x 10⁷ meters.
Now we can apply the equation for a circular orbit's period:
T = 2π r / v
When we enter the values we just discovered, we obtain:
T = 2π (4.22 x 10⁷ m) / (9656 m/s)
T = 5.56 x 10³ seconds
Hence, the satellite's orbit has a period of about 1.54 hours.
So, the satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.
To know more about speed, visit:
brainly.com/question/17661499
#SPJ1
At its highest temperature, a space heater has a resistance of 17.5 Ω when it is plugged into a wall outlet that supplies a peak voltage of 176.8 V sinusoidally at 60 Hz . What is the average power output ⎯⎯⎯⎯ of the space heater?
At its highest temperature, a space heater has a resistance of 17.5 Ω when it is plugged into a wall outlet that supplies a peak voltage of 176.8 V sinusoidally at 60 Hz . the average power output of the space heater is 888 watts.
The average power output of the space heater can be calculated using the root mean square (RMS) values of the voltage and current. The RMS voltage and current are related to the peak voltage and the resistance of the space heater as follows:
V_RMS = V_peak / sqrt(2)
I_RMS = V_RMS / R
where V_RMS is the RMS voltage, I_RMS is the RMS current, V_peak is the peak voltage, and R is the resistance of the space heater.
Substituting the given values, we get:
V_RMS = 176.8 V / sqrt(2) = 124.8 V
I_RMS = 124.8 V / 17.5 Ω = 7.12 A
The average power output of the space heater is given by:
P_avg = V_RMS * I_RMS * cos(θ)
where cos(θ) is the power factor, which we will assume to be 1 for a resistive load like the space heater.
Substituting the values for V_RMS and I_RMS, we get:
P_avg = 124.8 V * 7.12 A * 1 = 888 W.
Learn more about temperature here:
https://brainly.com/question/11464844
#SPJ1
(c)
If an electron described a complete revolution in a
magnetic field, how much energy would it acquire?
An electron moving transverse to a uniform magnetic field, where there is nothing to interfere with its motion (such as air molecules), will continuously describe complete revolutions with no effort. That is, the electron does not gain energy (and the field does not lose energy).
When it comes to moving electric charges, electric currents, and magnetic materials, a magnetic field is a vector field that defines the magnetic influence. A force perpendicular to both the charge's own motion and the magnetic field acts on a moving charge in the field of magnetism.[1]: ch13 [3]: 278 Iron and other ferromagnetic elements are drawn to a permanent magnet's magnetic field, which also draws or repels other magnets. The three other magnetic effects of paramagnetism, diamagnetism, and antiferromagnetism also impose minute forces on materials that are considered to be "nonmagnetic"; however, these forces are typically so minute that they can only be detected by laboratory equipment. Magnetic fields encircle magnetised materials and are produced by electric currents, like those found in electromagnets, and by electric fields with changing time constants.
learn more about magnetic fields here:
https://brainly.com/question/23096032
#SPJ1
Four plotting compasses are placed near a bar magnet. Which plotting compass is shown pointing in the correct direction?
The direction of the north pole of a compass needle represents the direction of magnetic field lines. Magnetic field lines originate from the north pole of magnet and terminate at south pole. Hence, the correct compass will be A.
What is a plotting compass?A plotting compass is also known as a magnetic compass. It aligns itself with the magnetic field of magnet, with north-seeking end of the compass pointing towards the south pole of the magnet and the south-seeking end pointing towards the north pole of the magnet.
So, to determine which plotting compass is pointing in the correct direction, you would need to observe the direction in which the north-seeking end of the compass is pointing and compare it to the direction in which the south pole of the bar magnet is located. If the north-seeking end of the compass is pointing towards the south pole of the magnet, then the compass is pointing in the correct direction.
To know more about compass, refer
https://brainly.com/question/924374
#SPJ1
Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line,(Figure 1). The masses are mV=0.815mE
, mJ=318mE
, mSat
= 95.1mE
, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km
.
Answer:
To calculate the total force on Earth due to Venus, Jupiter, and Saturn, we need to use the formula for gravitational force: F = G * (m1 * m2) / r^2 where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. First, we need to convert the distances to meters: dV = 108 million km * 1000 m/km = 1.08 x 10^11 m dJ = 150 million km * 1000 m/km = 1.5 x 10^11 m dSat = 778 million km * 1000 m/km = 7.78 x 10^11 m Next, we can calculate the forces due to each planet: FV =
A jar of tea is placed in sunlight until it
reaches an equilibrium temperature of 33.3
◦C .
In an attempt to cool the liquid, which has a
mass of 187 g , 133 g of ice at 0.0
◦C is added.
At the time at which the temperature of the
tea is 31.8
◦C , find the mass of the remaining
ice in the jar. The specific heat of water
is 4186 J/kg ·
◦ C . Assume the specific heat
capacity of the tea to be that of pure liquid
water.
Answer in units of g.
Answer:
130.43g
Explanation:
First, we need to calculate the heat lost by the tea when it cools down from 33.3°C to 31.8°C. We can use the formula Q = mcΔT, where Q is the heat lost, m is the mass of the tea, c is the specific heat capacity of water, and ΔT is the change in temperature.
The mass of the tea is given as 187g and the specific heat capacity of water is 4186 J/kg·°C. The change in temperature is (33.3 - 31.8)°C = 1.5°C.
So, the heat lost by the tea is: Q = (187g) * (4186 J/kg·°C) * (1.5°C) = 1174.05 J
This heat is gained by the ice, causing it to melt and warm up to 0°C. The heat required to melt ice is given by Q = mL, where m is the mass of ice melted and L is the latent heat of fusion of water.
The latent heat of fusion of water is 334 kJ/kg. So, we can calculate the mass of ice melted as: m = Q / L = (1174.05 J) / (334 kJ/kg) = 0.0035 kg = 3.5g
However, not all of the ice will melt. Some of it will remain as ice and some will become water at 0°C.
Let’s say that x grams of ice melts completely and becomes water at 0°C. The remaining (133 - x) grams of ice will stay as ice.
The heat required to melt x grams of ice is: Q1 = x * L
The heat required to warm up x grams of water from 0°C to 31.8°C is: Q2 = x * c * (31.8 - 0)
The total heat gained by the ice and water is: Q = Q1 + Q2
Substituting the values we get: 1174.05 J = x * L + x * c * (31.8 - 0)
Solving for x, we get: x = 1174.05 J / (L + c * (31.8 - 0)) = 2.57g
Therefore, out of the initial 133g of ice, only 2.57g melts completely and becomes water at 0°C.
The remaining mass of ice in the jar is: 133g - 2.57g = 130.43g
So, at the time at which the temperature of the tea is 31.8°C, there are approximately 130.43g of ice remaining in the jar.
Olympic swimmer, Micheal Phelps, swam a 200 meter race in 1 minute and 54 seconds. What would his velocity be in meters/seconds
During the 200-meter race, Michael Phelps moved at a speed of 1.75 metres per second.
What is famous about Michael Phelps?More than any other swimmer in history, he won Olympic medals, world titles, US national titles, and set world records. Phelps has made it a priority to support the growth of swimming at all levels during his career. With a total of 28 medals, he is the most successful and decorated Olympian of all time.
Velocity = Distance / Time
In this case, the distance swum is 200 meters and the time taken is 1 minute and 54 seconds, or 114 seconds.
Velocity = 200 meters / 114 seconds
Velocity = 1.75 meters/second (rounded to two decimal places)
To know more about speed visit:-
https://brainly.com/question/28224010
#SPJ9