An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard that is at a distance of 2.7 meters. Calculate the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard.A.
0.08 meters
B.
0.16 meters
C.
0.32 meters
D.
1.8 meters
Answer:
vertical distance, s = 0.16 meters
Explanation:
It is given that,
An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard.
Dashboard is placed at a distance of 2.7 meters.
Calculating time from velocity and distance i.e. [tex]t=\dfrac{d}{s}=\dfrac{2.7}{15}\ s=0.18\ s[/tex]
Using second equation of motion for finding vertical distance :
[tex]s=ut+0.5gt^2[/tex]
Here, u = 0 (for vertical velocity )
[tex]s=0.5gt^2[/tex]
[tex]s=0.5\times 10\times (0.18)^2[/tex]
s = 0.162 meters
or s = 0.16 meters
Hence, the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard is 0.16 meters.
Write how you would use numbers to investigate each object
The H line in Calcium is normally at 396.9nm. however, in a star’s spectrum it is measured at 398,1 nm. How fast is the star moving and is it moving towards the earth
The star is moving at about [tex]\(906.6 \, \text{km/s}\)[/tex] away from the Earth
Why is this correct?
The calcium H line typically appears at a wavelength of 396.9 nm. However, in the spectrum of a particular star, it registers at 398.1 nm. To determine the star's velocity, we'll employ the Doppler effect formula for wavelength shift:
[tex]\[\frac{\Delta \lambda}{\lambda_0} = \frac{v}{c}\][/tex]
Where:
[tex]\(\Delta \lambda\)[/tex] represents the change in wavelength.
[tex]\(\lambda_0\)[/tex] denotes the rest wavelength (396.9 nm for the calcium H line).
[tex]\(v\)[/tex] stands for the star's velocity.
[tex]\(c\)[/tex] is the speed of light.
The calculation involves finding [tex]\(v\)[/tex], the star's velocity. Rearranging the formula yields:
[tex]\[v = \frac{\Delta \lambda}{λ_0} \times c\][/tex]
Starting with the difference in wavelengths:
[tex]\[\Delta \lambda = \lambda - λ_0 = 398.1 \, \text{nm} - 396.9 \, \text{nm} = 1.2 \, \text{nm}\][/tex]
Substituting the values into the equation:
[tex]\[v = \frac{1.2 \, \text{nm}}{396.9 \, \text{nm}} \times 299,792 \, \text{km/s}\][/tex]
This computation yields:
[tex]\[v \approx 0.003021 \times 299,792 \approx 906.4 \, \text{km/s}\][/tex]
Therefore, the star is moving at about [tex]\(906.6 \, \text{km/s}\)[/tex] away from the Earth.
Complete question:
The h line in calcium is normally at 396.9 nm. however, in a star's spectrum, it is measured at 398.1nm. how fast is the star moving and is it moving towards the earth or away from the earth?
When scientists state that energy transformation are inefficient, do they mean energy is destroyed? Explain why.
no. energy is not created or destroyed, just transformed.
a hot light source is less efficient than a cold one ... heat is not light ...
The term 'inefficient' in energy transformations does not mean that energy is destroyed. Instead, it refers to the second law of thermodynamics, where some energy is always lost in an unusable form, typically as heat, during the transformation process.
Explanation:When scientists state that energy transformations are inefficient, they don't mean that energy is destroyed. Rather, they're referring to the fact that in every energy transfer or transformation, a portion of that energy is lost in a form that is unusable, most often as heat energy. This concept is based on the second law of thermodynamics, which states that no energy transfer is entirely efficient.
In an isolated system, according to the first law of thermodynamics, energy cannot be created or destroyed but only converted from one form to another. However, not all forms of energy are useful in doing work. During these energy transformations, some energy inevitably gets 'degraded' into a less useful form, such as waste heat.
For instance, when an airplane flies through the air, some of the plane's energy is lost as heat due to friction with the surrounding air. Similarly, during cellular metabolic reactions, some energy is lost as heat. This is beneficial for warm-blooded animals like us, as it helps in maintaining our body temperature.
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Xavier throws a tennis ball to his friend Olaf at a 20° angle relative to the ground with an initial velocity of 18 m/s. The tennis ball travels 30 m until Olaf catches itThe time the tennis ball was in the air, rounded to the nearest hundredth, is s.
Ball is thrown at an angle of 20 degree with velocity 18 m/s
so first we will find the two components of the velocity
[tex]v_x = 18 cos20[/tex]
[tex]v_x = 16.91 m/s[/tex]
similarly for other component
[tex]v_y = 18 sin20[/tex]
[tex]v_y = 6.16 m/s[/tex]
now the ball will cover horizontal distance of 30 m till it reach to other player
so here we can use the formula of time
[tex]x = v_x * t[/tex]
[tex]30 = 16.91 * t[/tex]
[tex]t = \frac{30}{16.91}[/tex]
[tex]t = 1.77 s[/tex]
so it will take 1.77 s to reach the other player
Answer:
1.77 on ed2020
Explanation:
Select all the correct answers.
As a student, what steps can you take to reduce the amount of waste you make?
Dispose of products after one use instead of reusing them.
Recycle old books, newspapers, and magazines.
Replace useful items with new items before they wear out.
Start a compost program at school instead of trashing food.
Place computer equipment in the trash when it no longer works.
As a student, to reduce waste, you should recycle materials like old books, start a compost program at school, buy used items, and properly recycle electronics. Avoid actions that are against the reduce, reuse, and recycle principles like disposing reusable products, replacing items prematurely, or trashing computer equipment.
Explanation:To reduce the amount of waste you make as a student, focus on actions that adhere to the Reduce, Reuse, and Recycle principles. Firstly, recycle your old books, newspapers, and magazines instead of throwing them away. Starting a compost program at school will help reduce food waste by turning it into nutrient-rich soil instead of contributing to landfill mass.
Other actions include buying used or fewer items, maintaining and repairing products to extend their lifespan, and borrowing or sharing infrequently used items. Always avoid disposing of products that can still be reused, and do not replace items before they wear out. Moreover, never throw away computer equipment; recycle it properly as electronic waste can be hazardous to the environment.
Recycling efforts in your community are important; participate by separating recyclables like aluminum, plastics, glass, and paper. Encourage and join initiatives at school to promote recycling and conservation.
How to find the magnitude and direction of an accelerating object?
I'm pretty sure you can find it out by using a speed monitor and compass or just observing it
if there any answer choices tell me.
Select the correct words from the drop-down menus to complete the sentence. The work of a machine can never exceed the work because uses some of the work.
Answer: The work OUTPUT of a simple machine can never exceed the work INPUT because FRICTION uses some of the work.
Explanation:
This concept is related to ideal machines and efficiency.
Only ideal machines can convert all the work input into useful work (work ouput).
The efficiency is a concept that tells you the proportion of input work that is transformed into output work.
Efficiency = (output work / input work) × 100
Ideal machines, those where friction does not exist, have a 100% efficiency, and so ideal machines convert all the input work into useful output work.
Real machines have a efficiency less than 100%. Friction lowers the efficiency and the work outpu is less than the work input, because friction uses work which is converted, mostly, into heat energy or sound energy.
the movement of heat or electricity through ________. __________ are good conductors, particularly __________. (fill in the blanks)
materials, metals, gold
Final answer:
The movement of heat or electricity occurs through materials called conductors, with metals like copper and silver being excellent examples due to their high number of free electrons that facilitate this transfer.
Explanation:
The movement of heat or electricity through materials. Metals are good conductors, particularly copper and silver.
Good electrical conductors are often good heat conductors, too. This is because large numbers of free electrons can carry electrical current and can transport thermal energy. Materials like copper, aluminum, gold, and silver are excellent conductors of both electricity and heat due to their high number of free electrons, which allow them to transfer thermal energy efficiently. On the other hand, insulators such as wood, plastic, and rubber are poor heat conductors because they lack these free electrons.
Understanding the conduction of electricity and heat is fundamental in industries and applications that require efficient energy transfer, including electronic components and cooking utensils. Metals are frequently employed in these applications; for example, metals like copper are used in wires for electricity transmission, while cooking utensils are made of metals because of their superior heat conduction abilities.
wich type of friction can best be described as the force between objects that are moving (static friction)(rolling friction )(kinetci friction)(sliding friction
The answer is kinetic friction.
Answer:
Kinetic friction
Explanation:
When body is in rest then static friction force will act in opposite direction .Ans this force will given as follows
[tex]fr_s=\mu _{st}mg[/tex]
[tex]\mu _{st}\ is\ the\ coefficient\ of\ static\ friction[/tex]
When body is in motion then kinetic friction force will act in opposite direction .Ans this force will given as follows
[tex]fr_k=\mu _{k}mg[/tex]
[tex]\mu _{k}\ is\ the\ coefficient\ of\ kinetic\ friction[/tex]
When body rolls then rolling friction will act.
When body will slid then sliding friction will act.
Coal begins to form when plants die in a swampy area. True or false
true :) i took a science test and that question is correct
Compare how newton understood gravity to how Einstein describes Gravity
Final answer:
Gravity according to Newton is a pulling force between objects with mass, while Einstein's general relativity posits gravity as the warping of spacetime by mass. While Newton's theory works well for less extreme situations, Einstein's accommodates oddities in strong gravitational fields and explains anomalies like Mercury's orbit that Newton's law could not.
Explanation:
Understanding Gravity: From Newton to Einstein
In his universal law of gravitation, Sir Isaac Newton described gravity as a force that pulls any two objects with mass toward one another, proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This concept allowed Newton to explain both the motion of falling objects on Earth and the celestial movements of planets and moons. Objects are drawn towards each other along a line connecting their centers, similar to an invisible 'tug of war.'
Albert Einstein's theory of general relativity, on the other hand, provided a revolutionary understanding of gravity. Instead of viewing gravity as a force, Einstein described it as the warping of spacetime by mass. Massive objects distort the fabric of spacetime, creating what we perceive as gravitational attraction, akin to how a heavy object placed on a stretched-out sheet would cause it to curve and objects around it to roll towards the impression.
Newton's theory operates exceptionally well for everyday phenomena and has been crucial for developments like space travel. However, Einstein's general relativity illuminates peculiar behaviors in strong gravitational fields, such as around black holes, and accounted for the precession of Mercury's orbit, a detail classical physics could not explain. While Einstein's model modifies Newton's, both theories address the observed accelerations of massive bodies influenced by gravity.
It is essential to note that while Einstein's theory adjusts Newton's laws, it does not render them obsolete. Einstein's predictions coincide with Newton's in situations of weaker gravitational fields - a testament to the accuracy of Newton's calculations in familiar conditions. This congruence illustrates Einstein's respect for the robustness of Newtonian physics while extending our understanding to the cosmos's most extreme environments.
If you drive your 1000 kg car from sea level up to the Nu’uanu Pali lookout,which is 366m above sea level, how much will you have increased your car’s potential energy?
Final answer:
The potential energy gained by driving the car from sea level to Nu’uanu Pali lookout is approximately 3,589,260 joules.
Explanation:
To calculate the potential energy gained by driving your car from sea level up to the Nu’uanu Pali lookout, we can use the formula: PE = mgh, where m is the mass of the car, g is the acceleration due to gravity, and h is the change in height. In this case, the mass is 1000 kg, g is approximately 9.81 m/s², and h is 366 m. Plugging in the values, we get:
PE = 1000 kg * 9.81 m/s² * 366 m = 3,589,260 joules
So, driving your car up to the Nu’uanu Pali lookout increases its potential energy by approximately 3,589,260 joules.
A truck undergoes two consecutive displacements, the first is 75 km due 30.0 degrees west of north, and the second is 155 km due 60.0 degrees due east of north. What is the total displacement of the truck?
here we need to write the two components of the displacement and then we need to add them
first displacement is given as
[tex]d_1 = 75 km[/tex] 30 degree West of North
[tex]d_1 = - 75 sin30 \hat i + 75 cos 30 \hat j[/tex]
[tex]d_1 = - 37.5 \hat i + 64.9\hat j[/tex]
Other displacement is given as
[tex]d_2 = 155 km[/tex] 60 degree due East of North
[tex]d_2 = 155 sin60 \hat i + 155 cos60 \hat j[/tex]
[tex]d_2 = 134.2 \hat i + 77.5 \hat j[/tex]
now we need to find the net displacement
[tex]d = d_1 + d_2[/tex]
[tex]d = (-37.5 + 134.2)\hat i + (64.9 + 77.5)\hat j[/tex]
[tex]d = 96.7\hat i + 142.4\hat j[/tex]
so it is given as
[tex]d = \sqrt{96.7^2 + 142.4^2}[/tex]
[tex]d = 172.1 km[/tex]
and its direction is given as
[tex]\theta = tan^{-1}\frac{96.7}{142.4} = 34.1 degree[/tex]
so it will displace by 172.1 km at 34.1 Degree East of North
The atomic mass of an element is A. the sum of the protons and electrons in one atom of the element. B. twice the number of protons in one atom of the element. C. a ratio based on the mass of a carbon-12 atom. D. a weighted average of the masses of an element’s isotopes.
Answer:imagine Bohr coming up to you and saying i have 2 atoms; it sticks together and becomes a compound.
Explanation:
What causes different colors to appear in the sky?
The different colors in the sky are caused by the scattering of sunlight in Earth's atmosphere. Blue light scatters more efficiently than other colors, resulting in the blue color of the sky.
Explanation:The different colors that appear in the sky are caused by the scattering of sunlight. When sunlight enters Earth's atmosphere, it scatters from the molecules of air. The small size of the air molecules causes blue light to scatter more efficiently than other colors, such as greens, yellows, and reds. Therefore, the blue light is scattered all over the sky, resulting in the blue color of the sky.
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If u drop a bouncy ball off a roof and it takes 1.2 seconds to hit the ground how tall is the roof
Here's the formula to use:
D = 1/2 A T²
Distance = (1/2) (Acceleration) (time)²
Now let's use it:
Distance = (1/2) (9.8 m/s² for Earth gravity) (1.2 seconds)²
Distance = (4.9 m/s²) (1.44 sec²)
Distance = (4.9 x 1.44) (m-s² / s²)
Distance = 7.06 meters
Based on the weather station systems shown below, what is the most likely location of the low pressure system?
Answer: Based on the weather station symbols shown below, what is the most likely location of the low pressure system?
A.Just West of City A.
What is the purpose of using the Scientific Method? Choose all that apply. This method allows people to separate fact from fiction. This method allows people to conduct orderly research. This method allows people to collect opinions for personal use. This method prevents false information from circulating. This method allows people to make new discoveries.
1) This method allows people to do orderly research.
2) This method allows people to make new Discoveries.
hope this helps you!
Answer: This method allows people to conduct orderly research.
This method allows people to make new discoveries.
Explanation:
Scientific method is a detailed experimental protocol is required to be followed in order to prove a reason of cause of natural phenomena occurring in nature.
By utilizing scientific methods people conduct research. If a proper methodology is followed till the end of the experimentation process it will result in new outcomes different from the preposed observations and results. This will lead to new innovations.
An object is moving at a velocity of 23 m/s. It accelerates to a velocity of 85 m/s over a time of 8.3 s. What acceleration did it experience?
Answer : It experience the acceleration is, [tex]7.5m/s^2[/tex]
Explanation :
By the 1st equation of motion,
[tex]v=u+at[/tex] ...........(1)
where,
v = final velocity = 85 m/s
u = initial velocity = 23 m/s
t = time = 8.3 s
a = acceleration = ?
Now put all the given values in the above equation 1, we get:
[tex]85m/s=23m/s+a\times (8.3s)[/tex]
[tex]a=7.5m/s^2[/tex]
Thus, it experience the acceleration is, [tex]7.5m/s^2[/tex]
a conceptual model is based off of
Tha conceptual model depends upon the process flow.
ExplanationThe conceptual model is actually used in the system to stimulate, understand or explore the subject for the better understanding of people. As it consists of different constituents as validation, implementation, accreditation etc. can be affected by the process flow. The process flow has actually consisted of the management, monitoring of objects for specific subject and scales under these monitoring or management are proceedings. As these scales of process flow effects, the objectives of the task impacts.
Amelia is driving her car down a residential street. She approaches a stop sign and applies her brakes. It takes the car a few seconds to come to a complete stop. Which of the following terms best explains why Amelia's car does not stop instantaneously when she applies the brakes?
A.
friction
B.
inertia
C.
magnetism
D.
gravity
When Amelia apply brakes the car will start reducing its speed and then finally stop
So here as per Newton's First law we can say all object continue its state of motion until and unless some unbalanced external force act upon its.
This property is due to inertia of the object which is the property of mass. Here inertia is the property which resist the change in state of motion of an object.
If brakes are applied and an object stops after some time (let say t = 5 s) and on applying brakes other object stop in other time (let say t = 10 s) then if other object took longer time to stop then it means its inertia will be more.
So its all depends on inertia of object that how much time it will take to stop after applying brakes
So correct answer is
B. inertia
Answer:
B
Explanation:
Inertia
Consider the element sodium. It's atomic number is __________ and equals ___________. A) 11; the number of protons B) 12; the number of neutrons C) 23; the sum of protons and neutrons D) 23; the number of electrons
Answer:
option a
Explanation:
Answer:
A ( 11; the number of protons
Explanation:
if the atomic mass is 11 that means there are also 11 protons
Use Kepler’s laws and the period of the Moon (27.4 d) to determine the period of an artificial satellite orbiting very near the Earth’s surface.
Answer:
[tex]T_2 = 1.40 hours[/tex]
Explanation:
As per kepler's law of time period we know that
square of time period is proportional to the cube of the distance
so here we can say
[tex]\frac{T_1^2}{T_2^2} = \frac{r_1^3}{r_2^3}[/tex]
so we know that
for moon
[tex]T_1 = 27.4 days[/tex]
[tex]r_1 = 384,400 km[/tex]
[tex]r_2 = 6370 km[/tex]
now from above formula we have
[tex]\frac{27.4^2}{T_2^2} = \frac{384,400^3}{6370^3}[/tex]
[tex]T_2 = 0.058 days[/tex]
[tex]T_2 = 1.40 hours[/tex]
Using Kepler's third law and the period of the Moon, we find that an artificial satellite very close to Earth has a period of approximately 1.41 hours. This involves comparing the orbital radii and periods using the proportional relationship given by Kepler's law. Substituting values and simplifying yields the final period.
To determine the period of an artificial satellite orbiting very near the Earth’s surface using Kepler’s laws, we will use Kepler's third law, which states that the square of the orbital period (T) is proportional to the cube of the average orbital radius (r). Given the following:
The Moon’s orbital period, [tex]T_1[/tex] = 27.3 daysThe Moon’s average orbital radius, [tex]r_1[/tex] = 3.84 × 108 mThe radius of the Earth, rE = 6,380 km = 6.38 × 106 mThe altitude of the artificial satellite above the Earth’s surface = 0 m (since it is very near)Now, add the radius of the Earth to get the orbital radius of the satellite, r2 = rE + 0 = 6.38 × 106 m. According to Kepler’s third law ([tex]T_2[/tex] ∝ [tex]r_3[/tex]), we have:
([tex]T_1[/tex] / [tex]T_2[/tex])2 = ([tex]r_1[/tex] / [tex]r_2[/tex])3Substitute the known values:
(27.3 / [tex]T_2[/tex])2 = (3.84 × 108 m / 6.38 × 106 m)3Simplifying the right side:
(27.3 / [tex]T_2[/tex])2 = (60.19)3(27.3 / [tex]T_2[/tex])2 = 217,000Taking the square root of both sides to solve for [tex]T_2[/tex] :
27.3 / [tex]T_2[/tex] = 465.76[tex]T_2[/tex] = 27.3 / 465.76[tex]T_2[/tex] ≈ 0.0586 daysConverting days to hours (1 day = 24 hours):
[tex]T_2[/tex] ≈ 1.41 hoursTherefore, the period of an artificial satellite orbiting very near the Earth’s surface is approximately 1.41 hours.
The former Sears Tower in Chicago is 443m tall. Suppose a book is dropped from the top of the building. What would be the book's velocity a point 221m above the ground?
here we can use energy conservation
like initial kinetic + potential energy is always conserved and it will be same at all points
so we can say
[tex]KE_i + PE_i = KE_f + PE_f[/tex]
[tex]\frac{1}{2}mv_i^2 + mgh_1 = \frac{1}{2}mv_f^2 + mgh_2[/tex]
now we can plug in all the given values in it
[tex]v_i = 0[/tex]
[tex]h_1 = 443 m[/tex]
[tex]h_2 = 221 m[/tex]
[tex]\frac{1}{2}m*0 + m*9.8*443 = \frac{1}{2} m*v_f^2 + m*9.8*221[/tex]
now divide whole equation by mass "m"
[tex]9.8*443 = \frac{1}{2} v_f^2 + 9.8*221[/tex]
[tex]2175.6 = \frac{1}{2}v_f^2[/tex]
[tex]v_f = 65.96 m/s[/tex]
so final speed will be 65.96 m/s
What property of the sound wave determine the volume of sound
the amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound. In Figure 10.2 sound C is louder than sound B. hope i helped!
(sorry if wrong)
Help pleaseeeeeeeeeeeee am I right?
Answer:
you’re correct i think
The reciprocal of resistance or measure of a devices ability to conduct is called
The reciprocal of resistance or measure of a devices ability to conduct is called Conductance. Conductance is the ability of material that allows electricity to pass through it. The unit of conductance is seimens. It can also be represented by "mho" , inverse of "ohm" which is unit of resistance. Best example of conductive metals are silver and copper. Materials that allows conductivity are called Conductor. Material that partially allows conductivity are called Semi-conductor. Material that does not allow conductivity are called Insulator.
Conductance can also be defined as ability to flow. The term conductance is not only used for electrical conductivity, but it is also used for thermal conductivity and fluid conductivity.
Answer:
conductance
Explanation:
Andrea has 18 yards of fabric. How many 4 inch pieces can she cut from her original piece. Please show your work.
A hockey player hits a puck so that it comes to rest in 9 s after sliding 30 m on the ice. Determine (a) the acceleration in terms of ,(4 marks) (b) the initial velocity and acceleration of the puck.(5 marks)
Answer:
a) Acceleration, a = -u/9, where u is the initial velocity
b) Acceleration = 0.741 m/s², Initial velocity = 6.67 m/s
Explanation:
We have equation of motion, v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken.
a) We have v = 0 m/s, t = 9 s
So, 0 = u + a x 9
Acceleration, a = -u/9, where u is the initial velocity
b) We have equation of motion , [tex]s= ut+\frac{1}{2} at^2[/tex], s is the displacement, u is the initial velocity, a is the acceleration and t is the time.
s = 30 m , u = -9a, t =9 s
So, [tex]30= -9a*9+\frac{1}{2} *a*9^2\\ \\ 30=-40.5a\\ \\ a=-0.741m/s^2[/tex]
u = -9a = 6.67 m/s
So acceleration = 0.741 m/s², Initial velocity = 6.67 m/s
Final answer:
The answer explains how to calculate the acceleration of the puck given the distance it traveled and the time taken. It further details how to find the initial velocity of the puck using the acceleration obtained earlier.
Explanation:
A. To determine the acceleration of the puck, we can use the equation:
a = 2x / t^2
Substitute the values given: x = 30m and t = 9s.
b. To find the initial velocity of the puck, we first calculate the acceleration using the formula a = Δv / t, where Δv = final velocity - initial velocity.
Then, knowing the acceleration from part (a), we can calculate the initial velocity using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.