It looks like you're given
[tex]x(t) = -11\,\mathrm m + \left(1\dfrac{\rm m}{\rm s}\right) t - \left(5\dfrac{\rm m}{\mathrm s^3}\right) t^3[/tex]
[tex]y(t) = 19\,\mathrm m + \left(3\dfrac{\rm m}{\rm s}\right) t - \left(9\dfrac{\rm m}{\mathrm s^2}\right) t^2[/tex]
The particle's position vector at time [tex]t[/tex] is given by
[tex]\vec r(t) = x(t)\,\vec\imath + y(t)\,\vec\jmath[/tex]
Differentiate [tex]\vec r[/tex] twice to recover the velocity and acceleration vectors.
[tex]\vec a(t) = \dfrac{d\vec v(t)}{dt} = \dfrac{d^2\vec r}{dt^2} = x''(t)\,\vec\imath + y''(t)\,\vec\jmath \\\\ \implies \vec v(t) = \left(1\dfrac{\rm m}{\rm s} - \left(15\dfrac{\rm m}{\mathrm s^3}\right) t^2\right)\,\vec\imath + \left(3\dfrac{\rm m}{\rm s} - \left(18\dfrac{\rm m}{\mathrm s^2}\right) t\right) \,\vec\jmath \\\\ \implies \vec a(t) = -\left(30\dfrac{\rm m}{\mathrm s^3}\right)t \, \vec\imath - \left(18\dfrac{\rm m}{\mathrm s^2}\right) \,\vec\jmath[/tex]
At [tex]t=1.4\,\rm s[/tex], the particle has acceleration
[tex]\vec a(1.4\,\mathrm s) = \left(-42\,\vec\imath - 18\,\vec\jmath) \dfrac{\rm m}{\mathrm s^2}[/tex]
with magnitude
[tex]\|\vec a(1.4\,\mathrm s)\| = \sqrt{\left(-42\dfrac{\rm m}{\mathrm s^2}\right)^2 + \left(-18\dfrac{\rm m}{\mathrm s^2}\right)^2} \approx 45.695\dfrac{\rm m}{\mathrm s^2}[/tex]
and making an angle [tex]\theta[/tex] relative to the positive [tex]x[/tex]-axis such that
[tex]\tan(\theta) = \dfrac{-18}{-42} = \dfrac37[/tex]
Since both components of the acceleration vector have negative sign, the acceleration points into the third quadrant, so that we add a multiple of 180° after taking the inverse tangent of both sides, namely
[tex]\theta = \tan^{-1}\left(\dfrac37\right) - 180^\circ \approx -156.801^\circ[/tex]
Now, (a) the magnitude of the net force acting on the particle is, by Newton's second law,
[tex]F = (0.41\,\mathrm{kg})\|\vec a(1.4\,\mathrm s)\| \approx \boxed{18.735\,\mathrm N}[/tex]
and (b) makes the same angle as the acceleration vector, [tex]\theta \approx \boxed{-156.801^\circ}[/tex].
At this moment, its velocity vector is
[tex]\vec v(1.4\,\mathrm s) = \left(-28.4\vec\imath - 22.2\,\vec\jmath\right) \dfrac{\rm m}{\rm s}[/tex]
which (c) makes an angle [tex]\theta[/tex] such that
[tex]\tan(\theta) = \dfrac{-22.2}{-28.4} = \dfrac{111}{142}[/tex]
This vector also points in the third quadrant, so
[tex]\theta = \tan^{-1}\left(\dfrac{111}{142}\right) -180^\circ \approx \boxed{-142.986^\circ}[/tex]
Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Yes, mutations in the SARS-Cov2 may make the virus more deadly to humans because they are selected to make the virus superior in an adaptive way in order to form the next generations of viruses.
What is the evolutionary meaning of genetic mutations in viruses and organisms?The evolutionary meaning of genetic mutations in viruses and organisms is based on the fact that mutation per se is not adaptive (or beneficial), deleterious or neutral, but it depends on the enviroment in which they are and how it affects the differential reproduction of the virus.
Therefore, with this data, we can see that the evolutionary meaning of genetic mutations in viruses and organisms is the fact that after emergence may be selected to enhance the adaptive features of a virus and thus also make it more deadly to humans in the case of viruses.
Complete (correct) question:
When SARS-CoV-2 replicates, mistakes can be made in some copies of its genome, giving rise to mutations. Mutations happen randomly and are a source of genetic variations, or differences, among viruses.
Could these mutations make the virus more deadly to humans? Support your answer in one or two sentences.
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a acrostic poem using the word "transformation" that summarizes what you've learned about kinetic and potential energy.
The acrostic poem using the word "transformation" that summarizes what you've learned about kinetic and potential energy is given below
Tremendous force creates motion
Releasing energy in every notion
Acceleration leads to kinetic state
New forms of energy await
Formed through a change in position
Action and reaction in succession
Invisible forces at work
Never-ending cycle that lurks
Energy in constant flux
Making the world go round with tucks.
What is the acrostic poem about?The first letter T stands for "Tremendous force" that creates motion, this is related to kinetic energy. Kinetic energy is the energy of motion, it is the energy that an object possesses due to its motion. The more motion an object has, the more kinetic energy it possesses.
Also, The second letter R stands for "Releasing energy" in every notion, this refers to the transformation of potential energy into kinetic energy. Potential energy is the energy an object possesses due to its position or state, this energy is stored and can be released as kinetic energy.
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A force of 55 N is applied to a 7.3 kg bowling ball for 0.81 seconds.
If the bowling ball was initially at rest, what is the momentum of the bowling ball after the force was applied?
How fast is the bowling ball moving?
1. The momentum of the bowling ball after the force was applied is 397.5 Ns.
2. The bowling ball is moving at a speed of 48.7 m/s.
A crane and box are both initially at rest. At time t=0s, the crane begins to drive forward at a constant speed of 0. 5ms, while also lifting the box with an upward acceleration of 1ms2. The box does not swing while being lifted by the crane.
(c) Assume that, at t=0 s, the horizontal position of the box is x=0 and it has a vertical position of y=0. Derive an equation that describes the vertical position y of the box as a function of the horizontal position x of the box.
(d) Does your equation from part (c) agree with your sketch in part (b)? Justify your response
The equation that describes the vertical position y of the box as a function of the horizontal position x of the box is y = 1/2 x^2 + 0.5xt.
A crane and box are both initially at rest. At time t=0s, the crane begins to drive forward at a constant speed of 0. 5ms, while also lifting the box with an upward acceleration of 1ms2.
This equation agrees with the sketch in part (b) because it shows that the vertical position of the box increases as the horizontal position increases, as shown in the sketch. This equation also shows that the vertical position of the box increases with time at a rate of 1 m/s^2, which is the value used for the upward acceleration of the box.
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Question 8 (2 points)
A negatively charged rubber balloon is sticking to Vivek's shirt. It is attracted to the
shirt's positive charges. He then pulls the balloon farther away from his shirt. How
does the electric force between the balloon and Vivek's shirt change when the
balloon is moved?
The electric force increases.
The electric force decreases.
The electric force does not change.
Answer:The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.
Explanation:
A radio wave has a frequency of 5.5 × 104 hertz and travels at a speed of 3.0 × 108 meters/second. what is its wavelength? a. 5.5 × 104 meters b. 5.0 × 103 meters c. 5.5 × 103 meters d. 3.0 × 108 meters
The wavelength of the radio wave is 5.5 × 10³ m. If the frequency of the wave is 5.5 × 10⁴ hertz and the speed of the wave is 3.0 × 10⁸ m/sec.
The speed(v) of a wave is the product of wavelength(λ) and the frequency(η). We can understand this relation by the definition of the speed, which is the distance travelled by the object in unit time. The unit of distance is meter, also the unit of the wavelength is meter. On the other hand the unit of frequency is sec⁻¹. So,
Speed of a wave(v) = wavelength(λ) × Frequency(η)
Wavelength(λ) = speed of the wave(v)/Frequency(η)
Wavelength(λ) = (3.0 × 10⁸)/(5.5 × 10⁴)
Wavelength(λ) = 5.5 × 10³ m
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A steam powered generator. The diagram below shows the steps involved in using the energy in steam to generate electricity
Electricity can be generated from a steam turbine and used to power a bulb as shown.
How can power be generated from steam?We know that the generation of electricity is largely linked to the principle of the transformation of energy or the conservation of energy which just portrays the idea that energy can neither be created nor destroyed but is converted from one form to another.
We can see that the fuel can be used to heat up the water in the image that is attached and the water is converted to steam and then the steam can be used to turn a steam turbine and electricity is produced that can be able to power a bulb.
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What is the formula for electric force?
The electric force is a fundamental force of nature that is described by the formula which is F = qE.
The formula for electric force is F = qE, where F is the magnitude of the force, q is the charge of the two particles, and E is the electric field vector.
The electric force is responsible for a variety of phenomena, including the attraction of particles with opposite charges and the repulsion of particles with the same charge.
This force is an important part of the electromagnetic force, which also includes the magnetic force.
Electric force is the attractive or repulsive force that exists between two electric charges.
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Thank you for your help!
Answer:
Haemoglobin
Explanation:
I hope this helps you
A figure skater begins spinning counterclock-
wise at an angular speed of 3.2 7 rad/s. Dur-
ing a 4.6 S interval, she slowly pulls her arms
inward and finally spins at 7.7 T rad/s.
3.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s^2
According to the answer The average angular acceleration 1.3 rad/s^2.
What is angular acceleration?Angular acceleration is the rate of change of angular velocity over time. It is a vector quantity, which means that it has both a magnitude and direction. Angular acceleration is usually measured in units of radians per second squared (rad/s2). The magnitude of angular acceleration indicates how quickly the angular velocity is changing, and its direction indicates the direction of the angular velocity change.
The average angular acceleration of the figure skater during this time interval can be calculated using the equation a = (Δω)/(Δt). Here, Δω is the change in angular speed during the interval and Δt is the length of the interval.
Therefore, the average angular acceleration = (7.7 rad/s - 3.2 rad/s) / 4.6 s = 1.3 rad/s^2.
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summary of a article“what can i do to reduce my risk of developing cancer”
This article provides a comprehensive overview of the steps that can be taken to reduce the risk of developing cancer.
What is developing cancer?Developing cancer is a process in which abnormal cells in the body grow and divide uncontrollably. These abnormal cells can form tumors, invade other tissues, and spread to other parts of the body.
This article discusses ways to reduce the risk of developing cancer. It explains that there are many lifestyle changes that can be made to reduce the risk of cancer, such as eating a healthy diet, exercising regularly, avoiding smoking and excessive alcohol consumption, and limiting sun exposure. Additionally, the article suggests getting regular check-ups and screenings, as well as avoiding environmental toxins and pollutants. It also recommends getting vaccinated against certain viruses, such as HPV, which can increase the risk of certain types of cancer. Finally, the article emphasizes the importance of maintaining a healthy weight and reducing stress.
Overall, this article provides a comprehensive overview of the steps that can be taken to reduce the risk of developing cancer. By following the advice outlined in the article, individuals can take proactive steps to reduce their risk of developing cancer and improve their overall health.
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VT 106.00 V, T=?, R₁ = ?
V₁?, 1₁-?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3= 32.00 V, 13-?, R₂= 13.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the resistance at (R₂) which is the resistance of resistor two?
(Use one of the following choices for the unit: V, A, Ohms)
The resistance at R₂ is 13 Ohms.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit. It is typically measured in units of ohms (Ω). It is the ratio of voltage across a component to the current flowing through it. A component with a high resistance allows less current to flow through it for a given voltage, while a component with a low resistance allows more current to flow for the same voltage. The resistance of a component can be affected by factors such as temperature, material, and dimensions.
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You weigh 710 N. What would you weigh if the Earth were three times as massive as it is and its radius were five times its present value? Answer in units of N
Answer:
85.2 N
Explanation:
You want to know your weight if the Earth were 3 times as massive and had 5 times the present radius. Your weight is 710 N.
WeightYour weight is proportional to the mass of the Earth and the square of the radius between your mass and the center of the Earth. The revised dimensions of the earth would multiply your weight by ...
W = k(M/r²) = 710 N
W' = k((3M)/(5r)²) = k(M/r²)(3/25) = (710 N)(3/25) = 82.5 N
Your weight would be 82.5 N.
The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics EXCEPT:
The purpose of refrigerant going through a restriction is to change all of these refrigerant characteristics except is pressure.
What is pressure?Pressure is the amount of force applied over a given area. It is measured in units such as pounds per square inch (psi). Pressure can be applied to a variety of things including gases, liquids, solids, and vacuums. It can be caused by a variety of sources, such as gravity, electromagnetic fields, and electric currents. Pressure can also be applied to change the physical properties of a substance such as its temperature, density, or viscosity. It can be used to move objects, create energy, and form objects. Pressure is an important concept in many areas of science, ranging from physics to engineering.
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A 1.5 kg block moves at 4 m/s moves along a frictionless horizontal surface. The block slides into a spring
with a spring constant of 240 N/m. How far is the spring compressed after the block comes to rest?
spring compresses 31.6 cm
kinetic energy of the block = potential energy of the spring
0.5mv^2 = 0.5kx^2
0.5*1.5*4^2 = 0.5*240*x^2
x = 0.316 m
so the spring compresses 31.6 cm
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Over the past few years, human use of coal has decreased in the United States. What has caused this effect on coal use?
A.
lower costs of other fossil fuels
B.
not including environmental costs in pricing
C.
relaxed regulations for air pollution
D.
falling prices for coal
5- During the Canada Day fireworks demonstration, an observer measures the time difference between the
flash of light emitted, and the sound heard from the explosion to be 2.50 s. If the air temperature is 16°C.
how far away is the fireworks' explosion from the observer? (Velocity of sound is 345 m/s at 0 °C)
Answer:
Below
Explanation:
Speed of sound at 16 degrees C = 340.866 m/s
(Speed of sound at 0 degrees C is 331.3 m/s ....I do not know where they got the incorrect value of 345 m/s at 0 °C)
2.5 s * 340.866 m/s = 852 m away from fireworks
A girl run at 5m/ for 2 econd, then walk at 4m/ for 3econd, an ride bicycle at 10m/ for 5econd what i average peed of the girl for the entire trip?
Answer:
Explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkkkkkkkkkkkkkkkkiiiiiiiiiikooooooooooooop
To find the average speed of the girl for the entire trip, we need to calculate the total distance covered and the total time taken.
Distance covered during running = speed x time = 5 m/s x 2 s = 10 m
Distance covered during walking = speed x time = 4 m/s x 3 s = 12 m
Distance covered during biking = speed x time = 10 m/s x 5 s = 50 m
Total distance covered = 10 m + 12 m + 50 m = 72 m
Total time taken = 2 s + 3 s + 5 s = 10 s
Average speed = Total distance covered / Total time taken
= 72 m / 10 s
= 7.2 m/s
What is the power (in Watts) of the Pokemon Hitmonlee that uses 237 N of force to move a huge boulder 83 m in 5s?
particles q1=-53.0uC, q2=+105uC, and q3=-88.0uC are in a line. particles q1 and q2 are separated by 0.50m and q2 and q3 are separated by 0.95m. what is the net force on particle q3?
Answer:The answer sir would be 180.38
Explanation:
a ______ chart contains solid bars separated by spaces.
A bar chart contains solid bars separated by spaces.
Definition of bar chartBar chart definition is defined as a visualization and presentation technique either in the form of data, instructions or in the form of certain information. The data, instructions and information presented in the form of diagrams aim to make the data results easily understood by the reader.
Diagrams we often encounter in everyday life. Usually, diagrams are used in various fields such as statistics and informatics. With diagrams, the delivery of information or data can be easily understood by readers. Apart from that, diagrams are also used to present a particular procedure or algorithm in programming or informatics.
So, the meaning of a bar chart is a diagram that displays square bars or blocks that are used to display some data. This diagram also describes a change in object values or research data in a certain period.
Bar charts are used to present data in the interest of comparison, to compare more than one activity. In addition, bar charts are used to display changes in research data within a certain period.
Bar charts are also usually used to determine the development of the value of a data within a certain period of time and in a type with several categories or classifications.
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What are the benefits to using solar geothermal and wind power as alternative sources of energy?
The benefits of using solar, geothermal, and wind power as alternative sources of energy are low maintenance, accuracy, and highly renewable respectively.
Reduced electricity expenses, a wide range of applications, and minimal maintenance costs are all benefits of solar energy. The fact that it depends on the weather, that solar energy storage is expensive, and that it takes up a lot of space are some of its drawbacks.
Geothermal energy has the benefit of making it simpler to anticipate power output with pinpoint accuracy. Cons of energy management include high costs and the need for sustainability.
The benefit of wind energy is that it is a very clean and renewable energy source. It is readily available and has a low running cost. The energy's drawback is that it contributes to noise and visual pollution.
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What was the average force the bumper exerted on the car over the 4 s period?
O A. 1,000 N
OB. 4,000 N
O C. 10,000 N
O D. 40,000 N
The dark region denotes the car's displacement over a 4-second time period. It can be determined as follows: (1/2)46 = 12 metres.
What is the average speed of a bumper car?Remember that a bumper car only travels at a speed of 5 mph on average. In an automotive crash test, a solid wall's average force on a 2500-kg car that hits the wall over a 0.22-s time period is measured to be 740,000 N.When a car collides with something at a low speed, the bumper will press backward to use the crumple zone to reduce the impact as the foam and fenders absorb the force. The bumper, fender, and foam crumpling restricts the amount of harm that may be done to the automobile and those inside of it.The average force is therefore equal to the body's mass times the average speed during a specific period of time.To learn more about determined refer to:https://brainly.com/question/30234949#SPJ1What is the relationship of the gravitational force between the earth and the moon
Is it possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg? Explain.
Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
What is momentum?The sum of an object's mass and velocity is termed as its momentum. It consists of both a magnitude and a direction, making it a vector quantity.
Reason for the above :For the given momentum K.E. is inversely proportional to the mass. Hence, the fig with a mass of 0.04 kg has lower kinetic energy. For two bodies having same kinetic energy, the lighter one has greater momentum.
Hence, Yes, it is possible for a fig with a mass of 0.04 kg to have a greater momentum than an elephant seal with a mass of 3,000 kg.
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This is a second part to a worksheet for physics that I’d love help with
Thus, wave speed is the distance covered per second as opposed to wave frequency, which is the number of cycles that occur each second.
How significant is wave frequency?Waves transfer energy, to sum up. The amount of energy they carry is inversely proportional to their frequency and amplitude. Both frequency and amplitude climb with increasing energy, correspondingly.
What exactly is a simple wave frequency?Wave frequency is the quantity of waves passing a particular place in a predetermined period of time. The hertz (Hz), which measures wave frequency in SI units, is one hertz, or one wave crossing a fixed point in one second.
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A student is connecting three resistors of various resistances together in a circuit. In one configuration, the resistors are connected in a series. In another configuration, the resistors are connected in parallel. Explain which configuration results in a higher total resistance.
The configuration with the resistors connected in series results in a higher total resistance.
What is the difference between a series and parallel circuit configuration?A series circuit configuration is one in which the electrical components are connected end-to-end, so that the current must flow through each component before reaching the next one. This means that the current is the same through all components, and the total resistance of the circuit is equal to the sum of the individual resistances. In contrast, a parallel circuit configuration is one in which the electrical components are connected side-by-side, so that the current can flow through multiple components at the same time. This means that the voltage across all components is the same, and the total resistance of the circuit is lower than the smallest individual resistance.
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A hot-water heater is operated by solar power. If the solar collector has an area of 5.8 m2 and the power delivered by sunlight is 550 W/m2, how long will it take to increase the temperature of 1.0 m3 of water from 25°C to 57°C?
Answer:
26°
Explanation:
inreases by a minute
Fill in the missing word in this sentence. Changes in volume and density cause a gas in the atmosphere to rise as it is heated, and as a gas rises, its temperature __________.
Changes in volume and density cause a gas in the atmosphere to rise as it is heated, and as a gas rises, its temperature decreases.
What is volume and density about?As a gas is heated, the molecules that make up the gas gain energy and begin to move faster. As the molecules move faster, they collide with each other more frequently and with greater force, causing the gas to expand and its volume to increase.
As the gas expands, its density decreases, and its buoyancy increases, making it less dense than the surrounding air. When a gas is less dense than the surrounding air, it tends to rise, which is known as convection.
Therefore, As a gas rises, it experiences a decrease in temperature, this is due to the decrease in atmospheric pressure. When a gas rises, the pressure on it decreases, which causes the gas to cool down.
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The nitrogen cycle is an example of a(n) cycle. Its processes include the conversion of atmospheric nitrogen into ammonia, which is called. Nitrogen is returned to the atmosphere in the process of.
The nitrogen cycle is an example of Nitrogen fixation and denitrification cycle.
What is nitrogen cycle?The nitrogen cycle is the process by which nitrogen is converted between its various chemical forms. This process is essential for life on Earth, as nitrogen is a critical component of proteins, DNA, and other molecules that make up living organisms. The cycle is comprised of four main steps: nitrogen fixation, ammonification, nitrification, and denitrification. In the nitrogen fixation step, nitrogen gas from the atmosphere is converted into ammonia (NH3) or nitrogen oxide (NOx) molecules by certain bacteria and other organisms. In the ammonification step, organic nitrogen molecules are converted into ammonia. In the nitrification step, ammonia is converted into nitrate (NO3-) and nitrite (NO2-) molecules by bacteria. Lastly, in denitrification step, nitrate and nitrite are converted back into nitrogen gas by bacteria. The nitrogen cycle is a continuous process, with nitrogen molecules cycling between its various forms.
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