As Ryan drained his pool this fall he collected the following data. Time is the independent variable.TimeHeight of water(hours) (cm)0.7 7211.5 6492.0 6313.5 4964.1 4695.0 3616.7 2627.2 2447.9 1638.7 100(b) What is the slope of the line?_____cm/hours *(c) What is the height intercept?(d) At what time would you expect the pool to be empty?(e) What would you expect the height of the water to be after 5.5 hours?
Answers
ANSWER:
(b) -77.6 cm/hours
(c) 775 cms
(d) 10 hours
(e) 348 cms
STEP-BY-STEP EXPLANATION:
(b)
We calculate the slope of the line using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We use the two extreme points, like this:
\(m=\frac{100-721}{8.7-0.7}=\frac{-621}{8}=-77.6\text{ cm/hours}\)(c)
We calculate the y-intercept, which would be the height intercept with the slope and the highest point known and closest to time 0, like this:
\(\begin{gathered} 721=-77.6\cdot0.7+b \\ \\ b=721+54.32 \\ \\ b\approx775 \end{gathered}\)(d)
The expected time that the pool is empty is when the height is equal to 0, therefore:
\(\begin{gathered} 0=-77.6\cdot \:x+775 \\ \\ x=\frac{-775}{-77.6} \\ \\ x\approx10\text{ hours} \end{gathered}\)(e)
Now, to determine the height at 5.5 hours, we perform the following equation obtained:
\(\begin{gathered} h=-77.6\cdot(5.5)+775 \\ \\ h=-426.8+775 \\ \\ h\approx348\text{ cms} \end{gathered}\)Related Questions
Which is the load
Answers
Answer:
A is the load in the diagram
Answer:
i think the answer is A
something that orbiys other things in space
Answers
Answer: well we all orbit the sun all the planets do so the
SuN
Explanation: two words common sense
A stone is dropped off a cliff. After this stone has traveled a distance d . A second stone is dropped. the distance between the two stones will be?
A. Decrease at first then stay constant
B. Increase at first then stay constant
C. Increase
D. Decrease
E. Stay constant
Answers
Answer:
the same stones distance will be condtant .
so option no E
One particle has mass m and a second particle has mass 2m. The second particle is moving with speed v and the first with speed 2v. How do their kinetic energies compare?
Answers
Answer:
Explanation:
The formula for kinetic energy to be used here is 1/2mv².
If the first particle is "particle a" and the second particle is "particle n"; there kinetic energies (K.E) will be
K.Eₐ = 1/2.m2v² = mv²
K.Eₙ = 1/2.2mv² = mv²
From the above, it can be said that there kinetic energies are the same.
NOTE that the m and v used in the question means mass and velocity respectively.
A pendulum of length 50 cm is pulled 30 cm away from the vertical axis and released from rest. What will be its speed at the bottom of its swing
Answers
Answer:
m g h = 1/2 m v^2 potential energy will be converted to kinetic energy
h = h0 (1 - cos theta) where theta is the displacement
theta = 30 / 50 = .6 theta = 36.9 deg
v^2 = 2 g h from above
h = 50 (1 - cos 36.9) = 50 * .2 = 10 cm
v = (2 * 980 * 10)^12 = 140 cm/sec
If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?
Answers
Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.
What is thermal energy?Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.
Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.
Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.
A swimming pool and a beaker of water can both be the same temperature.
Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.
Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.
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2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere
Answers
Answer:
Motor cortex
Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).
Explanation:
If the intial kinetic energy of the molecules in an ideal gas initially at 20degree C doubles , what ius the final temperature of the gas ?
Answers
The final temperature of the gas is 782 Kelvin, or 509 degrees Celsius.
What is the final temperature of the gas?According to the ideal gas law, the pressure, volume, and temperature of an ideal gas are related by the equation:
PV = nRT
where;
P is the pressure, V is the volume, n is the number of moles of gas,R is the ideal gas constant, and T is the temperature.If the initial kinetic energy of the molecules in an ideal gas at 20 degrees Celsius doubles, this means that the average kinetic energy of the gas molecules has doubled.
According to the kinetic theory of gases, the average kinetic energy of a gas is proportional to its temperature. Therefore, if the initial kinetic energy doubles, the temperature must also double.
We can express this mathematically using the equation for the average kinetic energy of a gas molecule:
KE = (3/2) kT
where;
KE is the average kinetic energy, k is Boltzmann's constant, and T is the temperature.If the initial kinetic energy doubles, we can write:
2KE = (3/2) kT'
where;
T' is the final temperature.Solving for T', we get:
T' = (4/3) (2KE/k)
Substituting the initial temperature of 20 degrees Celsius (293 K) for T and simplifying, we get:
T' = (4/3) (2)(3/2)(293 K) = 782 K
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g a mass of 1.3 kg is pushed horizontally against a massless spring with a spring constant of 58 n/m until the spring compresses 19.5 cm if the mass is then released what is the kinetic energy of the mass when it is no longer in contact with the spring ignore friction
Answers
Answer: \(1.102\ J\)
Explanation:
Given
Mass \(m=1.3\ kg\)
Spring constant \(k=58\ N/m\)
Compression in the spring \(x=19.5\ cm\ or\ 0.195\ m\)
When the mass leaves the spring, the elastic potential energy of spring is being converted into kinetic energy of mass i.e.
\(\Rightarrow \dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}\cdot 58\cdot (0.195)^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}mv^2=1.102\ J\)
The kinetic energy of the mass is 1.102 J.
A large pot is placed on a stove and 1.2 kg of water at 14°C is added to the pot. The temperature of the water is raised evenly to 100°C just before it starts to boil. (a) What amount of heat is absorbed by the water in reaching 100°C? (b) The water then boils until all of it has evaporated, turning to water vapor at 100°C. How much heat does the water absorb in this process?
Answers
Answer:
a) the amount of heat absorbed by the water is 431995.2 J
b) the amount of heat absorbed during evaporation is 2712000 J
Explanation:
Given that;
mass of water Mw = 1.2 kg
Specific heat capacity of water Cw = 4186 J/kg.C
Change in temperature ΔT = final T - Initial T = 100 - 14 = 86°C
Now
A)
Heat required to raise the temperature of water is expressed as:
Q = Mw × Cw × ΔT
Q = 1.2 × 4186 × 86
Q = 431995.2 J
Therefore the amount of heat absorbed by the water is 431995.2 J
B)
Then heat absorbed during evaporation will be:
Q1 = Heat absorbed during phase change from water to steam = Mw × Lv
Lv = latent heat of vaporization of water = 2.26 × 10⁶ J/kg
so
Q1 = 1.2 × 2.26 × 10⁶ = 2712000 J
Therefore the amount of heat absorbed during evaporation is 2712000 J
During an experiment of momentum, trolley, X, of mass (2.34 ± 0.01) kg is moving away from another trolley, Y, of mass (2.561 ± 0.001) kg with a speed of (3.2 ± 0.01) ms-1. The second trolley is moving away with a distance of (2.5 ± 0.01) ms-1.
What is the absolute uncertainty of the ratio of momentum of the two trolleys X/Y?
Answers
Answer:
P = 1 (14,045 ± 0.03 ) k gm/s
Explanation:
In this exercise we are asked about the uncertainty of the momentum of the two carriages
Δ (Pₓ / Py) =?
Let's start by finding the momentum of each vehicle
car X
Pₓ = m vₓ
Pₓ = 2.34 2.5
Pₓ = 5.85 kg m
car Y
Py = 2,561 3.2
Py = 8,195 kgm
How do we calculate the absolute uncertainty at the two moments?
ΔPₓ = m Δv + v Δm
ΔPₓ = 2.34 0.01 + 2.561 0.01
ΔPₓ = 0.05 kg m
Δ\(P_{y}\) = m Δv + v Δm
ΔP_{y} = 2,561 0.01+ 3.2 0.001
ΔP_{y} = 0.03 kg m
now we have the uncertainty of each moment
P = Pₓ / \(P_{y}\)
ΔP = ΔPₓ/P_{y} + Pₓ ΔP_{y} / P_{y}²
ΔP = 8,195 0.05 + 5.85 0.03 / 8,195²
ΔP = 0.006 + 0.0026
ΔP = 0.009 kg m
The result is
P = 14,045 ± 0.039 = (14,045 ± 0.03 ) k gm/s
I HAVE A PHYSICS TEST, ITS 25 QUESTIONS AND I HAVE ABOUT AN HOUR TO SOLVE IT PLEASE IF YOU'RE GOOD AT PHYSICS CONTACT ME ASAP
Answers
Answer:
yes sir
Explanation:
The surface tension of water was determuned in a laboratory by using the drop weight method. 100 drops were released from a burette the inner diameter of whose opening is 1.8mm. The mass of the droplets was 3.78g dertermine the surface tension of the water and comparing it with the tabulatef value
Answers
Answer:
The surface tension of the water is 6.278×10⁻² N/m
error = 13.65%
Explanation:
The surface tension of water is given by
\($ \gamma = \frac{F}{L} $\)
Where F is the force acting on water and L is the length over which is force is acted.
We are given the mass of 100 droplets of water
M = 3.78 g
n = 100
The mass of 1 droplet is given by
\(m = \frac{M}{n} \\\\m = \frac{3.78}{100}\\\\m = 0.0378 \: g \\\\m = 3.780\times10^{-5} \: kg\)
The force acting on a single droplet of water is given by
\(F = m \cdot g\)
Where m is the mass of water droplet and g is the acceleration due to gravity
\(F = 3.780\times10^{-5} \cdot 9.81\)
\(F = 3.708\times10^{-4} \: N\)
The circumferential length of the droplet is given by
\(L = \pi \cdot d\)
Where d is the diameter
\(L = \pi \cdot 1.88\times10^{-3}\\\\L = 5.906 \times10^{-3} \: m\)
Now we can find out the required surface tension of the water
\(\gamma = \frac{3.708\times10^{-4} }{5.906 \times10^{-3}} \\\\\gamma = 0.06278\: N/m\\\\\gamma = 6.278 \times10^{-2} \: N/m\\\\\)
Therefore, the surface tension of the water is 6.278×10⁻² N/m
The tabulated value of the surface tension of water at 20 °C is given by
\($ \gamma_t = 0.0727 \: N/m $\)
The percentage error between tabulated and calculated surface tension is given by
\($ error = \frac{\gamma_t - \gamma }{\gamma_t} $\)
\($ error = \frac{ 0.0727 - 0.06278}{0.0727} \times 100\% $\)
\($ error = 13.65 \%\)
Do you think the rider in the above figure is really in danger? What If people below were removed?
Answers
The rider will be in danger when the people below are removed, because they initially helped to maintain equilibrium.
A system subjected to different forces is said to be in equilibrium when all the forces applied to the system are equal.
For a system subject to two opposite forces, the following exists;
If the upward force and the downward forces are equal, the system will remain in equilibrium positionIf the upward or downward force is greater than the other, the system will move in the direction of the greater force.Thus, we can conclude that the rider will be in danger when the people below are removed, because they initially helped to maintain equilibrium. Once these people are removed, the rider tends to move at a greater speed and possibly fall from the initial position.
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When scientists look at very distant galaxies through powerful telescopes, they see the galaxies as they were millions or billions of year ago. Why is this?
Answers
Answer:
speed of light
Explanation:
the sun's light is 8 mins behind imaging that a billion fold
What are the negative effects of retirement?
Answers
Answer:
boredom..............
Answer:
health effects
Explanation:
decrease in mobility and mental health also a decrease in illness conditions
Provided that velocity is constant,
doubling the frequency of a wave
should...
A. double the wavelength
as well
B. have no affect on the
wavelength
C. reduce the wavelength
by half
Answers
Answer:so that's C
Explanation:
Wave speed equals frequency*wavelength. So doubling the frequency must halve the wavelength in order for wave speed to remain the same
4. A driver takes 3.5 s to react to a complex situation. How far does the vehicle travel before the driver initiates a physical response to the situation (i.e., putting his or her foot on the brake)
Answers
This question is incomplete, the complete question is;
A driver takes 3.5 s to react to a complex situation while driving at a speed of 60 mi/h.
How far does the vehicle travel before the driver initiates a physical response to the situation (i.e., putting his or her foot on the brake)
Answer:
the distance travelled by the vehicle, before the driver initiates a physical response is 308 ft
Explanation:
Given that;
Reaction time t = 3.5 sec
Speed S = 60 mi/h
we convert mile to foot and hour to seconds
so
Speed S = 60 mi/h = (60×5280)/(60×60) = 316800/3600 = 88 ft/sec
Now, The distance travelled by vehicle before the driver initiates physical response is equal to Lag distance. i.e
Lag distance = V × t
we substitute
Lag distance = 88 ft/sec 3.5 sec
Lag distance = 308 ft
Therefore, the distance travelled by the vehicle, before the driver initiates a physical response is 308 ft
Hey I need help with my homework not understanding the problem can someone please help
Answers
Answer:
a. 4 g/mL
Explanation:
First, we need to find the volume of the object. The volume is equal to the volume of the water displaced. So, it can be calculated as the difference in the volumes
75 mL - 50 mL = 25 mL
Then, the volume of the object is 25 mL and the mass is 100 g. Now, we can calculate the density as follows
density = mass/volume
density = 100 g/25 mL
density = 4 g/mL
Therefore, the answer is
a. 4 g/mL
The velocity of a particle moving along the x-axis is given for
t > 0 by vx = (32.0t - 2.00t3) m/s,
where t is in s. What is the acceleration of the particle when (after
t = 0)
it achieves its maximum displacement in the positive x-direction?
Answers
The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is -6.00\(m/s^2\).
The acceleration of a particle is defined as the rate of change of its velocity with respect to time. In this case, the velocity of the particle is given by vx = 32.0t - 2.00t^3 m/s. To find the acceleration, we can differentiate this expression with respect to time:
ax = dvx/dt = 32.0 - 6.00\(t^2 m/s^2\).
The particle achieves its maximum displacement in the positive x-direction when its velocity is zero, which occurs when vx = 0. Solving for t in the equation vx = 32.0t - 2.00\(t^3\) = 0, we find that t = ±√(16/3) s. The particle achieves its maximum displacement in the positive x-direction, so we want the positive value of t, which is t = √(16/3) s. Plugging this value of t into the expression for ax, we find that the acceleration of the particle is ax = 32.0 - 6.00(16/3) = -6.00 \(m/s^2\).
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? is the measure of the force of gravity pulling on an object?
Answers
Answer:
Weight measures the force of gravity pulling on an object
Explanation:
Bot sure if tht answered ur question
Which statement accurately describes a magnetic object? :
HURRY I WILL GIVE BRAINLIEST
A: They have many spinning electrons oriented in the same direction that create magnetic fields.
B: They have more electrons than non-magnetic materials that create magnetic fields.
C: Non-paired electrons spin in opposite directions that create a magnetic field.
D: Paired electrons spin in opposite directions to create a magnetic field.
Answers
The correct statement which best describes a magnetic object from among the options above is:
They have many spinning electrons oriented in the same direction that create magnetic fields.
The correct answer choice is option a.
How magnetic object carry their electrons in the same direction in a a magnetic field.When magnetic material spins its electrons in the same axis in the magnetic field, the force of current which passes through the same direction results in the attraction which exists between the magnetic object and magnetic substance.
So therefore, we can now confirm that when we consider the orientation of electrons of magnetic material in a direction similar to field, it causes attraction.
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describe how energy is transferred fraom the hot plate to heat up all of the potato
Answers
Answer:
Conduction is the process of heat being transferred between objects through direct contact
Explanation:
For example, in cooking the burners on stoves will conduct heat energy to the bottom of a pan sitting on top of it. From there, the pan conducts heat to its contents.
What is sound waves
Answers
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
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A net force of 34N is applied to accelerate an object at a rate of 2.5m/s2. What is the mass of the object?
Answers
Answer: Mass= 13.6 kg
Explanation:
F = m * a
34 = m (2.5)
m = 34 / 2.5
m = 13.6 kg
The image shows a molecular model of a compound using balls and sticks. Each ball is an atom. If you were to use balls and sticks to model a molecule of an element how must your model differ from what’s shown
Answers
Element molecules consist of a single type of atom and are held together by covalent bonds. The model would have uniform-colored balls connected by sticks representing these bonds.
The image represents a molecular model of a compound. Balls represent atoms, while sticks show chemical bonds between atoms. If you are to use balls and sticks to model a molecule of an element, the model would differ from what is shown because the element is made up of one type of atom. In other words, it is a pure substance that can't bond to other atoms of the same kind. Molecules of elements are usually composed of a single element and are not formed by bonding between two or more different atoms.In contrast to compounds, atoms in an element molecule are joined by a chemical bond called a covalent bond. Furthermore, the same atom is represented by a single-colored ball as there is only one type of atom involved in the element molecule. The sticks represent covalent bonds between the atoms of the same kind in a molecule of the element.For more questions on covalent bonds
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a body has a mass of 2kg.it accelerats from 20m/s to 40m/s in 4 seconds.the resultant force is
Answers
The resultant force is 8N
Given that mass is 2kg , v= 40m/s, u =20m/s and we need to calculate resultant force
F=ma
m is given
so for a
v-u/t=a { first equation of motion }
40-20/4= 4
so a=4
F = ma =2*4 = 8N
The difference between the forces that are acting on an object as part of a system is known as the resultant force.
v = u + at is the first equation of motion. Here, v denotes the end speed, u the starting speed, an acceleration, and t the passage of time. The first equation of motion is provided by the velocity-time relation, which may be used to calculate acceleration.
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Which graph shows acceleration? A graph of position (meters) versus time (seconds) has a straight line running from 0 seconds 0 meters upward. A graph of position (meters) versus time (seconds) has a concave line running from 0 seconds 0 meters upward. A graph of position (meters) versus time (seconds) has a straight line running from 0 seconds positive number of meters downward to some later time 0 meters.
Answers
It's the one that has a concave line running upward.
Answer:
its the middle one
Explanation:
i did it on edge 2021
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
Answers
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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Can someone tell me a very very simple physics experiment topic that links to biology?
Answers
Explanation:
One idea would be to investigate the correlation between your pulse pressure and your pulse rate. To do this, you'll need a blood pressure monitor.
First, measure your resting pressure and rate. Then exercise for 30 seconds. Measure your new blood pressure and pulse rate. Wait for your pressure and rate to return to normal, then repeat the trial for 1 minute, 1.5 minutes, 2 minutes, etc.
List the results in a table. This should include the amount of exercise time, your pulse rate, your systolic pressure (the high number, which is your blood pressure during contraction of your heart muscle), and your diastolic pressure (the low number, which is your blood pressure between heartbeats). Calculate your pulse pressure (systolic minus diastolic) for each trial. Graph the pulse pressure on the x-axis, and your pulse rate (beats per minute) on the y-axis.
What do you hypothesize will be the shape of the graph? Consider Bernoulli's formula, which relates fluid pressure and flow. How close do the results match your hypothesis? What might explain any differences?