Answer:
Mass = 1450kg
Explanation:
P = M * V (where p is momentum, m is mass and v is velocity)
29000 = 20 * M
M = 29000 / 20
M= 1450 kg
1. If a car travels 40m in 30 seconds how fast is it
going?
Answer: 80 mph
Explanation:
what's 4 x 5
i need help with this question please
Answer:
4 × 5 = 5 + 5 + 5 + 5 = 20
Explanation:
Pick one factor and add it.
the net work done in accelerating a propeller form rest to angular velocity of 200 rad/s is 3000 j. what is the moment of inertia of the propeller?
The propeller will have a moment of inertia of "0.3058 k.gm2."
given :-124 rad/s is the rotation's angle.
W = 2351.3 J, work finished.
Kinetic energy equals net work done is a common application of the work-energy principle. (W) = (K.E) (K.E)
Knowing that K.E = l l 2, we can deduce that W = l l 2.
By reversing the values, we get 2351.3 = l. (124)
²\sthus, I = 2351.3 2/ = 0.3058 k.gm2, which represents the moment of inertia
The propeller will have a moment of inertia of "0.3058 k.gm2."
How is the force of a propeller determined?F = r * Vp * A * [Ve – V0] Bernoulli's equation can be used to link the velocity and pressure in front and behind the propeller disc. Total pressure (pt0) ahead of the disc is equal to the sum of the static pressure (p0) and the dynamic pressure.
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A 1,286-kg car is skidding to a stop along a horizontal surface. The car decelerates from 26.9 m/s to rest in 9.36 seconds. How far did the car skid before coming to rest?
Answer:
Explanation:
Given:
M = 1 260 kg
V₀ = 26.9 m/s
V = 0 m/s
Δt = 9.36 s
___________
L - ?
1)
Vehicle acceleration:
a = (V - V₀) / Δt ) = (0 - 26.9) / 9.36 ≈ - 2.87 m/s²
2)
Braking distance of the car:
L = (V² - V₀²) / (2·a)
L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m
which of the following spectroscopy methods does not involve the interaction of organic molecules with electromagnetic radiation?
The following spectroscopy method does not involve the interaction of organic molecules with electromagnetic radiation:
Mass Spectrometry (MS): Mass spectrometry is a technique that analyzes the mass-to-charge ratio of ions. It does not directly involve the interaction of organic molecules with electromagnetic radiation. Instead, it involves the ionization of molecules and the measurement of their mass-to-charge ratios using magnetic and electric fields.
On the other hand, the following spectroscopy methods do involve the interaction of organic molecules with electromagnetic radiation: Ultraviolet-Visible Spectroscopy (UV-Vis): UV-Vis spectroscopy measures the absorption or transmission of ultraviolet and visible light by organic molecules.
Infrared Spectroscopy (IR): IR spectroscopy measures the absorption or emission of infrared light by organic molecules. It provides information about the molecular vibrations and functional groups present in the molecules.
Nuclear Magnetic Resonance Spectroscopy (NMR): NMR spectroscopy measures the absorption of radiofrequency radiation by atomic nuclei in organic molecules. It provides information about the molecular structure, connectivity, and environment of the nuclei.
It's important to note that different spectroscopy methods have their own applications and provide complementary information about organic molecules.
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Cart A has mass M and is released from rest at a height 2H on a ramp making an angle 2 with the horizontal, as shown above. Cart B has mass 2M and is released from rest at a height H on a ramp making an angle with the horizontal. The carts roll toward each other, have a head- on collision on the horizontal portion of the ramp, and stick together. The masses of the carts’ wheels are negligible, as are any frictional or drag forces.
a.) Derive an expression to determine the velocity of Cart A in terms of the variables given in the prompt.
b.) Derive an expression to determine the velocity of Cart B in terms of the variables given in the prompt.
c.) Determine the final velocity of the carts after the collision.
d.) Is the collision elastic or inelastic? Justify your answer.
*Answers should not include numbers, only variables.
a) The expression to determine the velocity of cart A is \(v_{A} = 2\cdot \sqrt{g\cdot H}\).
b) The expression to determine the velocity of cart B is
\(v_{B} =\sqrt{2\cdot g\cdot H }\).
c) The final velocity of the carts after the collision is \(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\).
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together.
Study of an inelastic collisionIn this question we shall apply principle of energy conservation and principle of linear momentum conservation to model an inelastic collision between two carts.
a) The combination of cart and ramp can be considered a conservative system as there are no non-conservative forces (i.e. friction), the final velocity of cart A (\(v_{A}\)) is related to the change in gravitational potential energy:
\(\frac{1}{2}\cdot M\cdot v_{A}^{2} = M\cdot g \cdot 2\cdot H\) (1)
Now we clear \(v_{A}\) and simplify the resulting expression:
\(v_{A} = 2\cdot \sqrt{g\cdot H}\)
The expression to determine the velocity of cart A is \(v_{A} = 2\cdot \sqrt{g\cdot H}\). \(\blacksquare\)
b) We apply the same approach used in part b) to find the final velocity:
\(\frac{1}{2}\cdot (2\cdot M) \cdot v_{B}^{2} = (2\cdot M)\cdot g \cdot H\) (2)
Now we clear \(v_{B}\) and simplify the resulting expression:
\(v_{B} =\sqrt{2\cdot g\cdot H }\)
The expression to determine the velocity of cart B is
\(v_{B} =\sqrt{2\cdot g\cdot H }\). \(\blacksquare\)
c) The final velocity (\(v\)system is determined by principle of linear momentum conservation:
\(3\cdot M\cdot v = M\cdot 2\cdot \sqrt{g\cdot H}-2\cdot M\cdot \sqrt{2\cdot g\cdot H}\)
\(3\cdot v = 2\cdot (1-\sqrt{2})\cdot \sqrt{g\cdot H}\)
\(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\)
The final velocity of the carts after the collision is \(v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}\). \(\blacksquare\)
d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together. \(\blacksquare\)
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I honestly don't know how to answer the last part of this question, it makes no sense to me:
A SR-71 reconnaissance aircraft, the world's fastest aircraft, is flying east at 3000 km/h. If the plane encounters a cross-wind of 300 km/h that is directed to the north,what is the magnitude and direction of its resultant velocity? If the border is a straight north/southline, will it take more, less or the same time to reach the eastern border of the country with the cross wind vs. without the crosswind? Explain
The resultant velocity of the aircraft is 3015 Km/hr while the direction is 5.7 degrees North of east
What is the resultant velocity?The resultant vector is that vector that has the same effect is magnitude and direction as the two vectors acting together. Recall that velocity is a vector quantity. This implies that the magnitude and the direction of the velocity is very important.
The resultant velocity would now be obtained by considering the directions of the two velocities hence we have to work geometrically and not algebraically. We have to know that the plane is flying east at 3000 km/h. If the plane encounters a cross-wind of 300 km/h that is directed to the north
Thus the resultant velocity is;
R = √(3000)^2 + (300)^2
R = √9 * 10^6 + 9 * 10^4
R = 3015 Km/hr
The direction of this resultant velocity is;
Tan-1 (300/3000)
= 5.7 degrees North of east
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What natural disaster presents the greatest threat to Western Central Europe?
volcanoes
flooding
Tsunamis
earthquakes
Answer:
flooding
Explanation:
What color will a green and red-striped shirt appear to be when only green light shines on it?
Answer:
Yellow
Explanation:
So while red, green and blue light shine upon the shirt, only red and green light will reflect from it. Red and green light striking your eye always gives the appearance of yellow; for this reason, the shirt will appear yellow.
An object has a mass of 5.20g. The mass of the object in kg is
Answer:
0.0520kg
Explanation:
divide by 1000
Use the diagram below for questions 2-4
2
1
С
-1
Question 2
Which wave has the greatest amplitude?
A Wave A
B. Wave B
C. Wave C
lustify your answer:
Answer:
A. It extends farthest from the horizontal axis
Explanation:
The amplitude of a wave is the measure of its peak excursion from the reference value. Here, the reference value is the horizontal axis of the graph. The wave that extends the farthest in the positive and/or negative directions is wave A. Wave A has the greatest amplitude.
__
Additional comment
There are various ways to define the amplitude of the wave if it is not symmetrical about the reference line. In this case, we don't need to concern ourselves with that. The value of the amplitude here is the maximum distance from the reference line, expressed as a positive number. Wave A has an amplitude of about 2.
Which statement BEST describes how magnetic forces can be harnessed to increase the speeds at which trains travel?
Select one:
Magnetic forces increase the attraction between the tracks and the wheels so that the trains do not fly off the tracks at high speeds.
Magnetic forces create a positively charged field; the negatively charged train wheels are repulsed, and this force drives the train forward.
Magnetic forces can raise the trains off the track, reducing
frictional forces acting against the train. Less work is needed to propel the train.
Magnetic forces can be used to create the electricity the train
needs for a power source.
The third statement (Magnetic forces can raise the trains off the track, reducing frictional forces acting against the train. Less work is needed to propel the train) describes how magnetic forces can be harnessed to increase the speeds at which trains travel.
What is magnet force?The scientifically-recognized concept dubbed "magnetic force" dictates that there either exists attractive or repulsive forces created between opposing magnet poles and electrically-charged moving particles--thanks to electromagnetic activity taking place behind-the-scenes. Most notably, all magnets produce an invisible magnetic field with intensified strength around their polar regions.
If two standalone magnets confront one another with opposing polarities visible on either end, then an intrinsic attraction manifests itself due to their respective concentrated fields at those points; though if you flip both magnets around so that their identical polarity ends face each other instead, then repulsion happens thanks to stronger opposing fields.
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Provide a conceptual definitions for each of the following variables used to describe waves: wavelength, period, velocity, amplitude, frequency, intensity, and phase.
The conceptual definitions for terms describing waves are:
1. Wavelength: The distance between two consecutive points in a wave that are in the same phase, usually measured from crest to crest or trough to trough.
2. Period: The time it takes for one complete cycle of a wave to pass a given point, usually measured in seconds.
3. Velocity: The speed at which a wave propagates through a medium, typically measured in meters per second (m/s).
4. Amplitude: The maximum displacement of a point in a wave from its equilibrium position, often representing the energy or intensity of the wave.
5. Frequency: The number of complete wave cycles that occur in one second, typically measured in hertz (Hz).
6. Intensity: The amount of energy carried by a wave per unit time and area, often related to the amplitude and frequency of the wave.
7. Phase: The position of a point in a wave relative to the wave's cycle, usually measured in degrees or radians and used to describe the timing relationship between different parts of a wave or between multiple waves.
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A 2 000-kg car is slowed down uniformly from 20. 0 m/s to 5. 00 m/s in 4. 00 s. (a) What average force acted on the car during that time, and (b) how far did the car travel during that time
The average force acting on the car is -12500 N, and the car traveled 40.0 m during the 4.00 s it took to come to a stop.
(a) To determine the average force acted on the car, we can use the formula:
average force = (mass x change in velocity) / time
where mass is the mass of the car, change in velocity is the difference between the initial velocity and the final velocity, and time is the time taken for the car to come to a stop.
Substituting the given values, we get:
average force = \(\frac{2000 \times (5.00 - 20.0)}{4.00}\)
average force = -12500 N (negative sign indicates the force acts in the opposite direction of motion)
Therefore, the average force acting on the car is 12500 N in the opposite direction of motion.
(b) To determine how far the car traveled during that time, we can use the formula:
distance = initial velocity x time + (1/2) x acceleration x time^2
where initial velocity is the initial velocity of the car, time is the time taken for the car to come to a stop, and acceleration is the acceleration of the car during that time (which is equal to the average force divided by the mass of the car).
Substituting the given values, we get:
distance = \(20.0\ \mathrm{m/s} \times 4.00\ \mathrm{s} + \frac{1}{2} \times \frac{-12500\ \mathrm{N}}{2000\ \mathrm{kg}} \times (4.00\ \mathrm{s})^2\)
distance = 80.0 m - 40.0 m
distance = 40.0 m
Therefore, the car traveled 40.0 m during the 4.00 s it took to come to a stop.
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* Question Completion Status: Moving to another question will save this response. Question 29 Which one of the following statements is not true? (choose all apply) O UV radiation is a type of ionizing
One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.
UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.
UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.
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El dormitorio de Pablo es rectangular, y sus lados miden 3 y 4 metros. Ha decidido dividirlo en dos partes triangulares con una cortina que une dos vértices opuestos. ¿Cuántos metros deberá medir la cortina?
Answer:
c = 5 m
Explanation:
this exercise you want to divide the rectangular room into two triangular rooms
the area of triangles is
A = ½ base height
A = ½ 4 3
A = 6 m²
the length of the curtain can be found using the Pythagorean theorem
c² = b² + a²
c = √ (4² + 3²)
c = 5 m
this is the length of the curtain
a gardener crosses a plant with red flowers with one with white flowers. each plant is pure for its trait for flower color.
if the gene for flower colors shows incomplete dominance, what kind of coloring will the flowers on the offspring plants most likely have
A Gardner crosses the plant with red and white flowers. Each is pure of its traits. If the gene of the flower shows incomplete dominance the dominant flow gene will show the color.
They are a mix of red and white then on the basis of dominance and recessiveness. The offspring will be in pink color. Hence the option C only pink is correct.Learn more about the plant with red flowers with one with
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Walk on a treadmill at a level grade at an exercise intensity
that will require a HR of 75% of HRmax. What is the TM speed,
HR?
To achieve an exercise intensity that requires a heart rate (HR) of 75% of HRmax, the treadmill speed should be adjusted accordingly.
To determine the treadmill speed that corresponds to an exercise intensity of 75% of HRmax, we need to calculate the target heart rate (THR) based on the maximum heart rate (HRmax) and then determine the appropriate treadmill speed.
1. Calculate the target heart rate (THR):
HRmax is usually estimated using the formula: HRmax = 220 - age.
For example, if the individual's age is 30 years, HRmax would be 220 - 30 = 190 beats per minute (bpm).
THR is 75% of HRmax: THR = 0.75 * HRmax.
2. Determine the treadmill speed:
The appropriate treadmill speed for achieving the target heart rate depends on the individual's fitness level and preferences. It is typically recommended to start with a moderate intensity level and adjust accordingly. It is advisable to consult with a healthcare or fitness professional to determine the suitable speed based on the individual's capabilities and goals.
By following these steps, one can identify the target heart rate and adjust the treadmill speed accordingly to achieve an exercise intensity of 75% of HRmax.
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Three horizontal force are pulling on a ring, at ret. F1 i 6. 25 N at a 180 angle, and F2 i 8. 90 N at a 2430 direction. What i the y-component of F3?
According to the question of force, the y-component of F3 is -2.719 N.
What is force?
Force is a fundamental concept in physics that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude and direction, and can be described mathematically. Force is a push or pull that can cause an object to accelerate, change its direction, or change its shape. Force is a function of mass and acceleration, as described by Newton's second law of motion.
The y-component of F3 can be calculated using the equation F3y = F1y + F2y. Since F1 is at a 180° angle, its y-component is 0. The y-component of F2 can be calculated using the equation F2y = F2 × sin(θ), where θ is the angle of F2. In this case, θ is 2430°, so the y-component of F2 is 8.90 × sin(2430°) = 8.90 × -0.3105 = -2.719 N. Therefore, the y-component of F3 is -2.719 N.
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if you were a submarine commander and wanted to go deep enough that your ship would not feel the effect of 300 ft (91 meters) wavelength storm waves, how deep would you have to dive?
As a submarine commander, if you want to avoid the effect of 300 ft (91 meters) wavelength storm waves, you would need to dive to a depth of at least 152 meters (500 feet). This is because waves lose energy as they travel through the water, and the longer the wavelength, the deeper they penetrate.
Therefore, a 300 ft wavelength storm wave would lose most of its energy at a depth of around 152 meters (500 feet).
Diving to this depth would require careful consideration of several factors, including the safety of the submarine and its crew, the ability to navigate in deep waters, and the impact on mission objectives. It is also important to note that while diving to this depth may provide some protection against storm waves, it does not completely eliminate the risk of encountering dangerous conditions at sea. As such, it is critical for submarine commanders to remain vigilant and adaptable in responding to changing weather and ocean conditions.
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A professional golfer walks at an at an average rate of 4.20 meters per second on the golf course. The amount of time required for her to walk from the tee to the green 622 meters away is
Answer:
T try d add b CD c
Explanation:
Cdgffd
imagine rigel, a star, rises at 6pm today. what time will it rise tomorrow and a month from now?
Assuming a constant rate of Earth's rotation and neglecting any axial tilt effects, Rigel, a star, would rise approximately 4 minutes earlier each day. Therefore, if Rigel rises at 6 PM today, it would rise at around 5:56 PM tomorrow. In one month, comprising roughly 30 days, Rigel would rise approximately 2 hours earlier, at around 4 PM. These calculations are based on the assumption that the observer's location on Earth remains constant, and no other factors, such as atmospheric conditions or the star's own motion, significantly affect the timing of Rigel's rise.
The Earth rotates approximately once every 24 hours, causing the stars to appear to rise and set each day. This rotation rate is relatively constant over short timescales. Therefore, if a star rises at a specific time on a given day, it will rise approximately 4 minutes earlier the following day, as 24 hours divided by 60 minutes gives an average of 4 minutes per minute of Earth rotation. Multiplying this by the number of days in a month (30) results in approximately 2 hours earlier for the star's rise time.
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3.5
An experiment was pero
of conductor on the current strength. A 200 mm length of nichrome
wire with diameter 0,3 mm is wound into a coil an attached to a
circuit. The potential difference is measured across the coil. The
experiment is repeated for a 200 mm length of copper wire of
diameter 0,3 mm. Temperature was kept constant. The following
results were obtained:
Current through each wire (A)
Potential difference across the
nichrome wire(V)
Potential difference across the copper
wire(V)
0,2 0,4 0,6 0,8 1,0
0,8 1,6 2,4 3,2 4,0
0,4 0,8 1,2 1,6 2,0
what is the independent variable here
The current flowing through each wire is the experiment's independent variable because it is the one that the experimenter is actively manipulating and controlling.
How does the resistance in the circuit change depending on the thickness of a piece of nichrome wire?The resistance is influenced by the wire's thickness, so the thicker the wire, the lower the resistance. Because less water can flow through a narrower pipe in a given length, there is more resistance in a narrower pipe.
Why does a nichrome not heat up in an electric circuit whereas a nichrome wire does?Due to the alloy composition of nichrome wire, its resistance is quite high. Because of this, it generates a lot of heat when current flows through it, making it extremely hot to the touch.
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prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy
The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.
What are some examples of renewable and non-renewable energy sources?Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.
What are the top 5 energy-saving features for homes?A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.
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what is the direction of the magnetic moment μ⃗ μ→ for each coil?
The direction of the magnetic moment μ⃗ for a coil is determined by the right-hand rule. For a coil with current flowing clockwise, the magnetic moment points
outward from the center of the coil, and for a coil with current flowing counterclockwise, the magnetic moment points inward towards the center of the coil.
To determine the direction of the magnetic moment μ⃗ for a coil, we need to consider the direction of the current flowing through it. When an electric current passes through a coil, it generates a magnetic field around it, and the magnetic moment represents the strength and orientation of this magnetic field.
The direction of the magnetic moment is determined by a principle known as the right-hand rule. The right-hand rule states that if you align your right hand's fingers with the direction of the current flow in a coil, with your thumb pointing in the direction of the current, your fingers will curl in the direction of the magnetic field generated by the coil. The magnetic moment vector μ⃗ points in the same direction as your curled fingers.
Let's consider two scenarios: a coil with current flowing clockwise and a coil with current flowing counterclockwise.
Coil with Current Flowing Clockwise:
If the current in the coil flows in a clockwise direction when viewed from above, the magnetic moment μ⃗ will be directed outward from the center of the coil. In other words, if you place your right hand's fingers along the coil in the direction of the current flow, your curled fingers will point away from the center of the coil. The magnetic moment μ⃗ will follow the same direction.
Coil with Current Flowing Counterclockwise:
If the current in the coil flows in a counterclockwise direction when viewed from above, the magnetic moment μ⃗ will be directed inward towards the center of the coil. When you place your right hand's fingers along the coil in the direction of the current flow, your curled fingers will point towards the center of the coil. The magnetic moment μ⃗ will align with this direction.
It's important to note that the direction of the magnetic moment depends on the convention used for the current flow. If the direction of the current is reversed, the direction of the magnetic moment will also reverse accordingly.
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The frequency of a wave is 2 Hz and the wavelength is 4 m. What is the wave speed?
Answer:
4/2=2m/s
Explanation:
what kind of wave is pictured above?
Answer:
you gotta give the picture man
a plane accelerates from 4 m/s/s for 28.7 s until it finally lifts on the ground. Assuming the plane started from the rest, what was the planes displacement before takeoff?
There were 1647 before liftoff. 38 m moving planes.
A Straight Line Motion is defined as?An object is considered to be in motion if its location throughout time changes in relation to its surroundings. It is the gradual change in an object's location. The only kind of motion that exists is linear motion.
Which three motion equations are there?The three equations are as follows: S = ut + 12at2, v = u + at, v2 = u + 2as.
The airplane's initial speed is U=0 m/s.
The plane accelerates at a 4 m/s rate.
with a time stamp of 28.7 seconds.
Distance traveled using the formula S=ut+a
⇒ S=0(28.7)+0.5(4) (4)
=1647.38 ~ 1647m
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A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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Please ASAP!!!! For q7 and q8
Answer:
7.37 degree
8.54
Explanation:
yan po ang sagot sana makatulong