Answer:
B
Explanation:
this is because the formula for calculating 1 half of the mass multiplied by the velocity squared
Answer:
b
Explanation:
If an object has a density greater than the liquid in which it is placed, I predict that it will:
If an object has a density greater than the liquid in which it is placed it will sink.
Explanation:
Density of the object can be known by its mass and volume.
If two objects have same volume but different masses it means the one having more mass will have higher density. Density is amount of mass per unit volume.
Objects that are tightly packed have higher density.
According to Archimedes' principle when a body is fully immersed that an upward buoyant force is equal to weight of the fluid that object displaces.
Objects with a greater density than a surrounding liquid will sink while objects with a lesser density will float, as explained by Archimedes' Principle.
Explanation:If an object has a density greater than the liquid in which it is placed, it will sink. This can be explained by Archimedes' Principle, which suggests that an object's buoyancy or tendency to float is determined by the relative densities of the object and the fluid it is in. The denser an object is, the more weight it has for its size, which means it is less buoyant and more prone to sinking than floating.
For example, if you drop a stone (denser) in a pond, it will sink because its density is greater than that of water. On the other hand, ice, which is less dense than water due to its molecular structure, will float.
Alternatively, objects with a density less than the liquid they are placed in will float, like oil on water, hot air balloons in the atmosphere, or bits of cork in wine. This is because they displace more fluid weight than their own, creating a buoyant force that exceeds their own weight.
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In the visible spectrum, the color of light depends on the frequency. Which statement BEST describes the wavelengths of a certain frequency?
A) A low frequency wave has a long wavelength.
Explanation:
Electromagnetic waves are periodic oscillations of the electric and the magnetic field in a plane perpendicular to the direction of motion the wave.
Electromagnetic waves travel in a vacuum always at the same speed, the speed of light:
[tex]c=3.0\cdot 10^8 m/s[/tex]
The wavelength and the frequency of an electromagnetic wave are related by the wave equation:
[tex]c=f\lambda[/tex]
where
c is the speed of light
f is the frequency
[tex]\lambda[/tex] is the wavelength
From the equation above, we observe that the frequency and the wavelength are inversely proportional. Therefore, the only correct option could be
A) A low frequency wave has a long wavelength.
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A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude of the oscillation? (Unit=m)
Amplitude of oscillation is 0.33 m
Explanation:
Amplitude is the maximum displacement of points on a wave from the point of equilibrium. In the above question,mass attached to a spring of k=18.9N/m follows an oscillatory motion where ,
Angular frequency = [tex]\sqrt{k/m}[/tex] where k is the spring constant and m is the mass
Angular frequency =[tex]\sqrt{18.9/.250[/tex] = 8.69
Therefore ,amplitude is equal to velocity/angular velocity
A=2.89/8.69
=0.33m
Hence , the amplitude of oscillation is 0.33 m.
Answer:
0.33
Explanation:
Most of the climate changes over the past 650,000yrs are attributed to what happening?
Most of the climate changes over the past 650000 years are attributed to global warming
Explanation:
Global Warming is the rise in the average temperature of the Earth's climate system over a time period. It leads to climate change.
Global warming is mainly caused by man, who by his actions causes an increase in the temperature on Earth.
The main way that he influences this phenomenon is, he is responsible for emission of greenhouse gases like carbon di -oxide , methane and other gases.
This paves way for the sea level rising, Ice in Arctic regions melting, frequent extreme weather conditions.
In some areas there might be abundant rainfall and in other areas there might be drought.
The impact of global warming will be extinction of many species, low crop yield.
Rising sea levels, will have an impact on people living in coastal areas.
So we have to do what we can to slow down the global warming and protect our environment and our Earth.
A compound that releases hydrogen ions in solution would most likely have which chemical property?
It would react with metals to form a salt and water.
It would react with nonmetals to form a salt and water.
It would react with metals to form hydrogen gas.
It would react with nonmetals to form hydrogen gas.
A compound, which releases hydrogen ions in solution would most likely react with metals to produce hydrogen gas.
• Based on Arrhenius's concept, an acid refers to a substance, which donates or releases ions of hydrogen in water. While a base is illustrated as a substance, which donates ions of hydroxide when dissolved in water.
• This acid when reacts with metals generates hydrogen gas, for example, when metal sodium reacts with HCl it produces hydrogen gas and NaCl.
• On the other hand, when bases react with acids, they produce water with salt.
Thus, the statement, that is, it would react with metals to form hydrogen gas is correct.
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Answer:
C It would react with metals to form hydrogen gas.
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
The average acceleration of the baseball while it's compressing the glove can be calculated using the equation of motion. This results in an acceleration of -101.66 m/s^2, indicating the ball is slowing down.
Explanation:The question about finding the average acceleration of a baseball while it's compressing the catcher's glove pertains to a physics concept. We are told that the baseball is moving at a speed of 2.2 m/s when it strikes the glove, and it comes to a stop by compressing the glove by 24mm.
We can use the equation of motion: Final velocity^2 = Initial velocity^2 + 2*(Acceleration*Distance). Here, the final velocity of the baseball is zero (as it comes to a stop), the initial velocity is 2.2 m/s, and the distance is 24mm (or 0.024m, as we need to express the distance in the same unit).
Therefore, the average acceleration of the baseball is - (Initial velocity^2) / (2*Distance) = - (2.2^2) / (2*0.024) = -101.66 m/s^2. The negative sign indicates the acceleration is in the opposite direction of the ball's motion, which is expected as it's slowing down and eventually coming to a stop.
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Which two atmospheric gases do not react with many substances?
A.
Oxygen (O2)
B.
Argon (Ar)
C.
Nitrogen (N2)
D.
Carbon dioxide (CO2)
PLZ help :(
Answer:c and d
Explanation:
i just looked it up and read
Answer:
Argon(Ar) and Nitrogen(N2)
Explanation:
How does the image help convey the message of this poster?
The image of a large clock next to a lazy worker stresses the importance of being on time, particularly for work in the factories.
The image of a large clock next to an unproductive worker emphasizes the importance of utilizing every minute of production time.
The image of a large clock next to a tired worker supports the idea of maintaining fair working hours, even during the war.
The image of a large clock next to a slow worker suggests that faster production is the central key to winning the war.
The image on the poster emphasizes the importance of utilizing every minute of production time
What is an image?An image is a graphic representation which often conveys a message. It has been a common practice to pass on important messages by the use of imagery.
From the image on the poster, the message conveyed is that; the image of a large clock next to an unproductive worker emphasizes the importance of utilizing every minute of production time.
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Answer: B
Explanation:
A 0.17 kg hockey puck slows down trom 54 m/s to 35 m/s when it slides on horizontal ice surface. Find the change in momentum of the puck?
Answer:
D_momentum = 3.23[kg*m/s]
Explanation:
The change of moment can be easily determined by applying the principle of momentum and amount of movement
initial data are:
[tex]m_{1}=0.17[kg]\\ m_{2}=0.17[kg]\\v_{1}=54[m/s]\\v_{2}=35[m/s]\\D_{momentum}= m_{1}*v_{1}-m_{2}*v_{2}\\D_{momentum}=0.17(54-35)\\D_{momentum}= 3.23[kg*m/s][/tex]
Given values,
Mass,
[tex]m_1 = 0.17 \ kg[/tex][tex]m_2 = 0.17 \ kg[/tex]Velocity,
[tex]v_1 = 54 \ m/s[/tex][tex]v_2 = 35 \ m/s[/tex]We know,
→ [tex]D_{momentum } = m_1\times v_1-m_2\times v_2[/tex]
By putting the values,
[tex]= 0.17\times 54-0.17\times 35[/tex]
[tex]= 0.17(54-35)[/tex]
[tex]= 0.17\times 19[/tex]
[tex]= 3.23 \ kg.m/s[/tex]
Thus the above approach is right.
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How many electrons are in a hydrogen atom?
Answer:
1
Explanation:
If you take a look on a periodic table of elements, you will notice that hydrogen has the atomic number of 1. This number directly corresponds to the number of electrons an atom has.
Let me know if you have any other questions!
A neutral hydrogen atom has exactly one electron orbiting its nucleus. This electron is situated in the 1s orbital, part of the atom's valence shell, highlighting hydrogen's unique position in the periodic table and its ability to bond with other elements.
Explanation:A hydrogen atom consists fundamentally of a nucleus and one electron orbiting this nucleus. When we discuss a neutral hydrogen atom, we refer to an atom where the number of protons (positively charged particles within the nucleus) is equal to the number of electrons (negatively charged particles orbiting the nucleus). Since hydrogen is the first element in the periodic table, it has exactly one proton in its nucleus. Consequently, to maintain electrical neutrality, a hydrogen atom also has exactly one valence electron. This electron occupies the 1s orbital, the closest orbital to the nucleus, which is part of the hydrogen atom's n = 1 valence shell.
This shell can hold up to two electrons, showing hydrogen's potential to bond or interact with other atoms either by losing its electron to become a cation (H+) or by gaining an electron to form a hydride ion (H−), or it can share its electron to form a single covalent bond. Therefore, hydrogen is not only a group 1 element but also shares characteristics with group 17 elements due to its unique electron configuration.
1.The electromagnetic spectrum contains many types of __________. A) waves B) Objects C) Particles
2.The colors we see are all part of ___________ ______________.
A) X rays B) UV waves C) visible light
3. We can see because of ___________ ______________.
A) UV waves B) infrared light C) visible light
4. When visible light passes through a prism or a drop of water, the light _________ and we see a rainbow of color.
A) Bends B) Reflects C) Bounces
Answer:
1-A
2-C
3-C
4-A
Explanation:
1. waves
2. visible light
3. visible light
4. bends
1. The electromagnetic spectrum contains many types of waves.
A) waves B) Objects C) Particles
An electromagnetic spectrum has frequency, from lowest to highest frequency, therefore including all radio waves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
2. The colors we see are all part of visible light.
A) X rays B) UV waves C) visible light
The light we are able to see is called the visible light spectrum, which ranges from violet light, having a wavelength of approx. 400 nanometers, to red light, having a wavelength of around 650-700 nanometers.
3. We can see because of visible light.
A) UV waves B) infrared light C) visible light
We are able to see because of the sunlight striking an object and reflecting back which moves through space and reaches our eyes.
4. When visible light passes through a prism or a drop of water, the light bends and we see a rainbow of color.
A) Bends B) Reflects C) Bounces
The rainbow effect occurs because when light strikes a water droplet, it is refracted at the boundary of air and water, and enters the droplet, where the light is dispersed into the seven colors, the light is then reflected inside the droplet and finally refracted out again into the air.
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Earth is round, but it looks flat to someone near the ground. Use this idea to explain why the image a concave mirror forms of an object less than one focal length away is a virtual image.
Image formed by concave mirror when an object is place less than one focal length away is a virtual image.
Explanation:
When an object is placed less than one focal length from concave mirror, the light rays from the same point on object reflect on the mirror and diverge. Hence causing the image formed to be magnified and virtual. The image must be found by extending the reflected beams in reverse direction of the mirror.The intersection point is the virtual image area. Similar concept can be used to explain why earth looks flat to someone near the ground.
Calculate the force of gravity on a 4 kg mass at Earth's surface. The mass of the Earth is 6 x 1024 kg and its radius is
6.4 x 106 m. Do not use scientific notation. Round to a whole number (no decimal).
Answer:
39.2 N
Explanation:
1kg at the earth's surface has a force of 9.8 N acting on it.
(4 kg) (9.8N) = 39.2 N
if there is 60cm3 of oil in ameasuing cylinder.what will be its mass
Answer: 0.057 kg
Explanation:
We can find the mass of the oil if we know its density and the volume it occupies. Since the density [tex]\rho[/tex] is a relation between the mass [tex]m[/tex] and the volume [tex]V[/tex] of a substance:
[tex]\rho=\frac{m}{V}[/tex] (1)
Now, the density of oil is generally between [tex]700 \frac{kg}{m^{3}}[/tex] and [tex]950 \frac{kg}{m^{3}}[/tex]. However, in this case we will take [tex]950 \frac{kg}{m^{3}}[/tex] as its density.
In adition, we are given as data the volume thw oil occupies:
[tex]V=60 cm^{3} \frac{1 m^{3}}{(100 cm)^{3}}=6(10)^{-5} m^{3}[/tex]
Writing these values in (1):
[tex]950 \frac{kg}{m^{3}}=\frac{m}{6(10)^{-5} m^{3}}[/tex] (2)
Isolating [tex]m[/tex]:
[tex]m=0.057 kg[/tex] This is the mass of the oil
9. (02.04 LC)
Which of the following most likely happens when the temperature of a chemical reaction is increased? (5 points)
Molecules speed up
Molecules stop reacting
Reaction rate decreases
Chemical reaction stops
Answer:
Molecules speed up
Explanation:
This is caused because of the temperature increasing. The temperature increase is telling us that the thermal energy of the reaction is increasing. When the energy is increased molecules increase their speed, because they have more energy in them
Answer:
Molecules speed up
Explanation:
A wave is traveling at 241 m/s. It has a wavelength of 30.0 m. What is its frequency?
A. 8.03 Hz
B. 30.0 Hz
C. 271 Hz
D. 7,230 Hz
Answer:
A) 8.03Hz
Explanation:
f = V/λ
Where wavelength( λ )= 30m
Speed (V) =241m/S
f= 241/30=8.03Hz
Which best describes the relationship between internal energy and thermal energy? Thermal energy is a measure of the internal energy of a substance. Internal energy is a measure of the thermal energy of a substance. Internal energy is the portion of thermal energy that can be transferred. Thermal energy is the portion of internal energy that can be transferred.
Answer:
Thermal energy is the part of internal energy that is capable of being transferred to other objects.
Explanation:
Thermal energy is capable of being transferred until the objects become the same temperature, called equilibrium.
The best description of the relationship between internal energy and thermal energy is thermal energy is the portion of internal energy that can be transferred. The correct option is d.
What is thermal energy?The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted between various systems and how work is performed in the process.
Heat is the component of thermal energy that may be transferred, and heat is the energy that moves within. In thermodynamics, the internal energy is a property or state function that characterizes a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.
Therefore, the correct option is d, Thermal energy is the portion of internal energy that can be transferred.
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Which two atmospheric gases do not react with many substances?
A.
Oxygen (O2)
B.
Argon (Ar)
C.
Nitrogen (N2)
D.
Carbon dioxide (CO2)
Answer:
the answer is B ( Argon (Ar) )
Answer:C and B
Explanation:
i hope this helps
010 10.0 points
Calculate the depth in the ocean at which the
pressure is three times atmospheric pressure.
Atmospheric pressure is 1.013 x 10° Pa. The
acceleration of gravity is 9.81 m/s2 and the
density of sea water is 1025 kg/m”.
Answer in units of m.
Answer:
Therefore the depth in the ocean at which the presser is three times atmospheric presser is 20.15 m.
Explanation:
The pressure at some depth
[tex]P=P_\circ +\rho gh[/tex]
[tex]P_\circ=[/tex] atmospheric presser = [tex]1.013\times 10^5[/tex] Pa
[tex]\rho=[/tex] density of the sea [tex]= 1025 kg / m^3[/tex]
g = gravity = 9.81 m/s²
h = depth of the ocean
P= atmospheric presser at depth = [tex]3P_\circ[/tex]
Therefore
[tex]3P_\circ=P_\circ +\rho gh[/tex]
[tex]\Leftrightarrow \rho gh=2P_\circ[/tex]
[tex]\Leftrightarrow h=\frac{2P_\circ}{\rho g}[/tex]
[tex]\Leftrightarrow h=\frac{2 \times 1.013 \times 10^5}{1025 \times 9.81}[/tex]
[tex]\Leftrightarrow h= 20.15[/tex]
Therefore the depth in the ocean at which the presser is three times atmospheric presser is 20.15 m.
How much work is done if a 50.ON force is applied on an object in the direction of
motion while the object slides 3.00 m across the floor?
Answer:150Nm
Explanation:
Force=50.0N distance=3.00m
Work=force x distance
Work=50 x 3
Work=150Nm
The chart below shows the average surface temperature or temperature range for each of the eight planets.
Planet Temperature
Mercury 100–700 K
Venus 735 K
Earth 287 K
Mars 227 K
Jupiter 112–165 K
Saturn 84–134 K
Uranus 53–76 K
Neptune 55–72 K
What conclusion can be drawn from this information?
A.
Earth and the other inner planets have higher average surface temperatures than the outer planets.
B.
Earth and the other inner planets have lower average surface temperatures than the outer planets.
C.
Earth has the lowest average surface temperature, and Venus has the highest average surface temperature.
D.
Earth has the highest average surface temperature, and Uranus has the lowest average surface temperature.
Answer:
A) Earth and the other inner planets have higher average surface temperatures than the outer planets.
Explanation:
the earth and the other inner planets have higher average surface temperatures than the outer planets.
The reason for this response is due to the distance between the sun and the respective planet, the source of energy generation is the sun and the only way in which the temperature increase of each planet is guaranteed is by radiation, the further away a planet is from its star, its temperature will decrease. Although it is also important to highlight the atmospheric composition of the planet if this planet in its stratosphere has high density clouds that do not allow the entry of solar radiation, the temperature of the planet's surface will not increase, independent of the distance from the sun, but these are more complex cases where specialists in that area enter to perform a study in detail.
A. The conclusion is that Earth and the other inner planets have higher average surface temperatures than the outer planets.
Explanation:The conclusion that can be drawn from the information provided is that Earth and the other inner planets have higher average surface temperatures than the outer planets.
This can be seen by comparing the temperature ranges of the inner planets (Mercury, Venus, Earth, and Mars) with the temperature ranges of the outer planets (Jupiter, Saturn, Uranus, and Neptune). The inner planets have higher average temperatures compared to the outer planets.
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4) Consider a separate rocket, also in deep space with a mass of 30.0 kg. If the rocket is
observed to be travelling at v = 5.00m/s at t = 3.00 s and then travelling at v= -2.00m/s at t = 14.0 s
with constant acceleration, calculate:
a) the acceleration, à.
b) the force F, acting on the rocket from the thrusters.
Explanation:
a) Acceleration is the change in velocity over change in time.
a = Δv / Δt
a = (-2.00 m/s − 5.00 m/s) / (14.0 s − 3.00 s)
a = -7/11 m/s²
a ≈ -0.636 m/s²
b) Force is mass times acceleration.
F = ma
F = (30.0 kg) (-0.636 m/s²)
F = -19.1 N
define a diode in semiconductor
Answer:
A semiconductor diode is a diode produced and made of its semiconductor material, which is more likely and most of the time silicon. It's similar and kind of like a door for electricity to move through, but the thing is it only opens one way.
Explanation:
A diode is a device for controlling electrical currents so that they flow the desired way. (Pretty much the way the engineer wants them to.)
In a single replacement reaction, what will a metal always replace?
A metalloid
B nonmetal
C metal
Answer: Option C. metal
Explanation:
In a single replacement or displacement reaction, metals that are higher in activity series will displace those lower in activity
009 10.0 points
Find the density of seawater at a depth where
the pressure is 126 atm if the density at the
surface is 1100 kg/m”. Seawater has a bulk
modulus of 2.3 x 10' N/m². Bulk modulus is
defined to be
will be
ensions
Po AP
B = POST
DP
The density is [tex]1106 kg/m^3[/tex]
Explanation:
The bulk modulus of a liquid is defined as
[tex]B=\rho_0 \frac{\Delta p}{\Delta \rho}[/tex]
where
[tex]\rho_0[/tex] is the density at the reference level
[tex]\Delta p[/tex] is the change in pressure
[tex]\Delta \rho[/tex] is the change in density
The equation can be re-arranged as
[tex]\Delta \rho = \frac{\rho_0 \Delta p}{B}[/tex]
In this problem, we have:
[tex]\rho_0 = 1100 kg/m^3[/tex] (density at the surface)
[tex]B=2.3\cdot 10^9 N/m^2[/tex] (bulk modulus of seawater)
[tex]\Delta p = 126 - 1 = 125 atm = (125\cdot 1.01\cdot 10^5) Pa[/tex] (pressure difference between the point where p = 126 atm and the pressure at sea level, which is 1 atm)
Therefore,
[tex]\Delta \rho = \frac{(1100)(125\cdot 1.01\cdot 10^5)}{2.3\cdot 10^9}=6.0 kg/m^3[/tex]
So, the density at the depth where the pressure is 126 atm is
[tex]\rho = \rho_0 +\Delta \rho = 1100+6=1106 kg/m^3[/tex]
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mass = m
mass = 2m
T = 15
T = 15
1. How does the centripetal acceleration of A compare to that of B?
A. AB
B.A<
B C . A=B
Explanation or Work:
Answer:
AB 15×15=225
A<B false because A=B
the answer is c because A=B
According to Newton's Brd Law, an object's momentum depends on it's velocity and mass, 4 dog-sled teams
competed to see who could gain the greatest momentum. All 4 sled and driver teams were the same mass, but
each driver had to select a passenger to carry as part of the challenge. Each passenger was a different mass
Which sled team had the greatest momentum at the finish line?
A
Sled Team A 48 kg moving at 10m/5
Sted Tem
C
ving-at-18mts
Sled Team C 28 kg moving at 12m/s
D
Sled Team D 22 kg moving at 12 m/s
Answer:
Team A has the greatest momentum
Explanation:
The momentum of an object is a vector quantity given by
[tex]p=mv[/tex]
where
m is the mass of the object
v is its velocity
In this problem, we have to compare the momenta of the different sleds.
We have:
A) Sled Team A 48 kg moving at 10m/s:
m = 48 kg
v = 10 m/s
p = (48)(10) = 480 kg m/s
B) Sled Team B 14 kg moving at 18m/s
m = 14 kg
v = 18 m/s
p = (14)(18) = 252 kg m/s
C) Sled Team C 28 kg moving at 12m/s
m = 28 kg
v = 12 m/s
p = (28)(12) = 336 kg m/s
D) Sled Team D 22 kg moving at 12m/s
m = 22 kg
v = 12 m/s
p = (22)(12) = 264 kg m/s
So, team A has the greatest momentum.
3) While flying horizontally in an airplane, you notice that a string dangling from the overhead
luggage compartment hangs at rest at 15° away from the vertical toward the front of the plane.
Using this observation, you can conclude that the airplane is
A) accelerating forward.
B) moving backward.
C) moving forward.
D) not accelerating because the string is at rest.
E) accelerating backward.
Please help I am stuck!!!!!!
Answer:
A
Explanation:
the string would be dangling backwards because you are moving forward it would be putting backward force on the string
Thus the response above i.e., "Option E" is the appropriate alternative.
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How much energy is required to raise the temperature of 50.0 grams of water 10.0 degree C? (Explain yourself answer in joules!)
Final answer:
To raise the temperature of 50.0 grams of water by 10.0 degrees Celsius, 2092 joules of energy are required, calculated using the specific heat capacity formula where the specific heat capacity of water is 4.184 J/g°C.
Explanation:
To calculate how much energy is required to raise the temperature of 50.0 grams of water by 10.0 degrees Celsius, we use the specific heat capacity formula:
q = mcΔT
where:
q is the heat energy in joules,m is the mass of the water in grams,c is the specific heat capacity of water (4.184 J/g°C), andΔT is the change in temperature in degrees Celsius.Substituting the given values:
q = (50.0 g) x (4.184 J/g°C) x (10.0 °C)
q = 2092 J
Therefore, it requires 2092 joules of energy to raise the temperature of 50.0 grams of water by 10.0 degrees Celsius.
A swimmer is swimming to the left with a speed of 1.0 m/s when she starts to speed up with constant acceleration. The swimmer reaches a final speed of 2.5 m/s over a distance of 5.0 m. How long did the swimmer take to speed up to 2.5 m/s? Around the answer to two significant digits.
Answer:
Correct answer: t = 2.86 seconds
Explanation:
We first use this formula
V² - V₀² = 2 a d
where V is the final velocity (speed), V₀ the initial velocity (speed),
a the acceleration and d the distance.
We will calculate the acceleration from this formula
a = (V² - V₀²) / (2 d) = (2.5² - 1²) / (2 · 5) = (6.25 - 1) / 10 = 5.25 / 10
a = 0.525 m/s²
then we use this formula
V = V₀ + a t => t = (V - V₀) / a = (2.5 - 1) / 0.525 = 1.5 / 0.525 = 2.86 seconds
t = 2.86 seconds
God is with you!!!
Final answer:
Using kinematic equations and given values of initial and final velocities, along with the distance covered, the swimmer took approximately 2.86 seconds to accelerate to 2.5 m/s.
Explanation:
A swimmer is swimming to the left with a speed of 1.0 m/s and then accelerates to a final speed of 2.5 m/s over a distance of 5.0 m.
To find the time taken to accelerate to 2.5 m/s, we can use the kinematic equation which relates initial velocity, final velocity, acceleration, and distance: [tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement.
Substituting the given values, we can solve for a, and then use v = u + at to find the time, t.
First, solving for a:
[tex]2.5^2 = 1.0^2 + 2(a)(5.0)[/tex]
6.25 = 1 + 10a
a = [tex]0.525 m/s^2[/tex]
Then, solving for t:
2.5 = 1.0 + (0.525)t
t = 2.857 seconds.
So, the swimmer took approximately 2.86 seconds to speed up to 2.5 m/s.