The shelf is 2.10 m high. If rounded for nearest whole number the height of shelf is 2 meter.
From the formula of potential energy,
PE = mgh
Where,
PE- potential energy = 350J
m - mass = 17 kg
g - gravitational acceleration = 9.8 m/s²
h - height = ?
Put the values in the formula and solve it for h
350J = 17kg x 9.80m/s^2 x h
h = 2.10 m
Therefore, the shelf is 2.10 m high. If rounded for nearest whole number the height of shelf is 2 meter.
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The surface gravity on jupiter is about three times as much as the surface gravity on earth. this means
Almost all of the electricity that people use is produced by
A ball is thrown at a 60.0° angle above the horizontal across level ground. it is thrown from a height of 2.00 m above the ground with a speed of 23.7 m/s and experiences no appreciable air resistance. the time the ball remains in the air before striking the ground is closest to
The time the ball remains in the air before striking the ground is closest to 4.20 seconds.
To find the time the ball remains in the air before striking the ground, we can use the equations of motion. Since the ball is thrown at an angle above the horizontal, we'll need to analyze both the horizontal and vertical components of its motion separately.
Given:
- Initial velocity [tex](\(v_0\))[/tex] = 23.7 m/s
- Launch angle[tex](\(\theta\))[/tex] = 60.0°
- Initial height (h) = 2.00 m
First, we'll find the horizontal and vertical components of the initial velocity:
Horizontal component: [tex]\(v_{0x} = v_0 \cdot \cos(\theta)\)[/tex]
Vertical component: [tex]\(v_{0y} = v_0 \cdot \sin(\theta)\)[/tex]
[tex]\[v_{0x} = 23.7 \, \text{m/s} \cdot \cos(60.0^\circ)\]\\v_{0x} \approx 23.7 \, \text{m/s} \cdot \frac{1}{2}\]\\v_{0x} \approx 11.85 \, \text{m/s}\]\\v_{0y} = 23.7 \, \text{m/s} \cdot \sin(60.0^\circ)\]\\v_{0y} \approx 23.7 \, \text{m/s} \cdot \frac{\sqrt{3}}{2}\]\\v_{0y} \approx 20.57 \, \text{m/s}\][/tex]
Now, let's find the time it takes for the ball to reach the maximum height using the vertical motion equation:
[tex]\[v_y = v_{0y} - g \cdot t\][/tex]
At the maximum height, the vertical velocity[tex](\(v_y\))[/tex] becomes zero. So:
[tex]\[0 = v_{0y} - g \cdot t_{\text{max}}\][/tex]
Solving for [tex]\(t_{\text{max}}\):[/tex]
[tex]\[t_{\text{max}} = \frac{v_{0y}}{g}\]\\t_{\text{max}} = \frac{20.57 \, \text{m/s}}{9.8 \, \text{m/s}^2}\]\\t_{\text{max}} \approx 2.10 \, \text{s}\][/tex]
Now, let's find the total time the ball is in the air. We know that the time to reach maximum height and the time to fall from maximum height to the ground are equal due to symmetry (neglecting air resistance). Therefore, the total time in the air is twice the time to reach maximum height:
Total time in the air [tex]\( = 2 \times t_{\text{max}}\)[/tex]
[tex]\[ \text{Total time in the air} \approx 2 \times 2.10 \, \text{s} \]\\ \text{Total time in the air} \approx 4.20 \, \text{s} \][/tex]
So, the time the ball remains in the air before striking the ground is closest to 4.20 seconds.
What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.20 m
Myth: An organism's kingdom only describes physical characteristics.
Fact:
Evidence:
The kingdom of an organism does not only describe physical characteristics. It is evident by that plant and animal kingdom are classified on the basis of photosynthetic ability.
Kingdom:
In classification kingdom is the highest in the hierarchy. A kingdom includes the organism of similar classes.
For Example: plant and animal kingdom
Plant Kingdom:
It includes the multicellular organisms who have cell wall and produce glucose using Photosynthesis. Such as Bryophytes, Pteridophytes, and gymnosperms.Animal Kingdom:
This includes the the organisms with cell membrane only. They rely o others for their nutrition. Such as mammals and fishesTherefore, the fact is that the organism's kingdom does not only describes physical characteristics.
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Graph the velocity of a car accelerating at a uniform rate from 7.0 m/s to 12.0 m/s in 2.0 s. Calculate the accerleration
Final answer:
Velocity vs. time graph for uniform acceleration is a straight line, acceleration calculated using the formula a = (Vf - Vi) / t. The acceleration during the first 8 seconds is 1 m/s², and during the last 6 seconds it is -1 m/s².
Explanation:
To graph the velocity of a car accelerating at a uniform rate from 7.0 m/s to 12.0 m/s in 2.0 s, plot a velocity vs. time graph where the time axis (x-axis) spans at least 2 seconds and the velocity axis (y-axis) spans from 7.0 m/s to 12.0 m/s. The graph will be a straight line starting at the point (0, 7.0) and ending at the point (2.0, 12.0) since the acceleration is uniform.
To calculate the acceleration (a), use the formula a = (Vf - Vi) / t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity. Substituting the given values, we get a = (12.0 m/s - 7.0 m/s) / 2.0 s = 2.5 m/s².
The acceleration of the car during the first 8 seconds (from 2 m/s to 10 m/s) is calculated by a = (Vf - Vi) / t = (10 m/s - 2 m/s) / 8 s = 1 m/s². During the last 6 seconds, when the car slows down from 10 m/s to 4 m/s, the acceleration is a = (4 m/s - 10 m/s) / 6 s = -1 m/s². Note the negative acceleration indicates a deceleration or slowing down.
How many electrons are in an electrically neutral atom of boron? A) 3 B) 5 C) 6 D) 8
Answer:
B. five electrons
Explanation:
A water balloon weighing 19.6 N rests on a table. The balloon has an area of 0.015 m^2 in contact with the table. What pressure does the balloon exert on the table?
A rock of mass m is thrown horizontally off a building from a height h. the speed of the rock as it leaves the thrower's hand at the edge of the building is v0, as shown. m h v0 m what is the kinetic energy of the rock just before it hits the ground? 1. kf = 1 2 m v2 0 2. kf = 1 2 m v2 0 − m g h 3. kf = 1 2 m v2 0 + m g h 4. kf = m g h − 1 2 m v2 0 5. kf = m g h
[tex]K_f=mgh+\frac{1}{2}mv_o^2[/tex]
Given information:
A rock of mass m is thrown horizontally off a building from a height h
As, the total energy of rock at the time of leaving the thrower's hand is the sum of gravitational potential energy and the initial kinetic energy.
[tex]E=U_i+K_i\\E=mgh+(1/2)mv_0^2[/tex]
As, the height from the ground decreases, the potential energy before hitting the ground is zero and the total final energy is just kinetic energy:
[tex]E=K_f[/tex]
As, the law of conservation of energy states the total final energy must be equal to the initial energy.
Hence, the final kinetic energy will be
[tex]K_f=mgh+\frac{1}{2}mv_o^2[/tex]
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what is the gravitational potential energy of a 150 kg object suspended 5m above the Earth's surface
The gravitational potential energy of the object is 7350 J.
Explanation:The gravitational potential energy of an object suspended above the Earth's surface can be calculated using the equation:
PE = mgh
where PE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height above the Earth's surface.
In this case, the mass of the object is 150 kg and the height is 5 m. Plugging these values into the equation:
PE = 150 kg * 9.8 m/s² * 5 m = 7350 J
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What happens to light when it changes speed?
A)It reflects
B)It polarizes
C)It refracts.
Answer:
The correct answer is C) Refracts
An engine performs 2700 J of work on a scooter. The scooter and rider have a combined mass of 150 kg. If the scooter started at rest, what is the speed of the bike after the work is performed?
A 0.200 kg block of a substance requires 3.59 kJ of heat to raise its temperature by 20.0 K. What is the specific heat of the substance? A. 2,020 J/(kg * K) B. 383 J/(kg*K) C. 130 J/(kg * K) D. 897 J/(kg*K)
If the above two waveforms were sound waves, we would hear the ___________ wave louder. If the above two waveforms were light waves, we would see the ________ wave dimmer.
Answer:
the answer is green, red
A particular battery lasts 14.5 hours. what percentile is its lifetime on?
The battery with a lifetime of 14.5 hours is at the 40.13th percentile in terms of battery lifetimes, assuming a normal distribution with a mean of 15 hours and a standard deviation of 2 hours.
Certainly, to find the percentile of the battery's lifetime, we'll use the Z-score formula and then refer to the standard normal distribution table. Let's assume a normal distribution with a mean (μ) of 15 hours and a standard deviation (σ) of 2 hours. The battery's lifetime is X = 14.5 hours.
The Z-score is calculated as:
Z = (X - μ) / σ
Substitute the values:
Z = (14.5 - 15) / 2 = -0.25
Now, we need to find the percentile associated with this Z-score. Looking up -0.25 in the standard normal distribution table, we find that the corresponding percentile is approximately 40.13%.
The question probable may be:
What is the percentile of a battery's lifetime with a mean (μ) of 15 hours and a standard deviation (σ) of 2 hours when its actual lifetime is X = 14.5 hours? Use the Z-score formula and the standard normal distribution table to determine the percentile associated with the Z-score of -0.25.
This battery's lifetime falls in the 22.66th percentile.
The lifetime of a battery is normally distributed with a mean (μ) of 16 hours and a standard deviation (σ) of 2 hours. To find what percentile a particular battery lasting 14.5 hours falls into, we need to calculate its Z-score.
The Z-score is given by:
[tex]Z = \frac{X- \mu}{\sigma}[/tex]
where X is the observed value.
The Z-score of the given battery is:
Z = [tex]\frac{14.5 - 16}{2}[/tex] = [tex]\frac{-1.5}{2}[/tex] = - 0.75
According to the Z-table, a Z-score of - 0.75 corresponds to a cumulative probability of approximately 0.2266.
This means that 14.5 hours is at the 22.66th percentile.
Thus, the lifetime of a particular battery lasting 14.5 hours falls at the 22.66th percentile of the lifetime distribution.
The complete question is:
The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.
Activities:
What is the probability that a battery will last more than 19 hours?Find the 10th percentile of the lifetimes.A particular battery lasts 14.5 hours. What percentile is its lifetime on?What is the probability that the lifetime of a battery is between 14.5 and 17 hours?It takes a person one half hour to run 6 kilometers at a constant rate along a straight-line path. What is the velocity of the person?
You are holding a block of wood with dimensions 3 cm 6 cm 9 cm on the palm of your hand. Which side must be touching your hand for you to experience the greatest force?
The size of the gravitational force depends on the mass of the objects involved. The greater the mass, the greater the gravitational force.
The normal force of weight will not differ for different placements but the force of pressure applied to the surface of your hand is per unit area.
Since, Pressure is equal to the ratio of Force per unit area.
Thus, the side with the smallest area i.e. 3 cm x 6 cm will exert the most pressure on your hand.
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Suppose a heat source generates heat at a rate of 87.0 w (1 w = 1 j/s). how much entropy does this produce per hour in the surroundings at 27.4 °c? assume the heat transfer is reversible.
One mole of ideal gas is slowly compressed to one-third of its original volume. in this compression, the work done on the gas has magnitude 672 j . for the gas, cp=7r/2.
The distance from the sun to the Earth is 1.5 x 1011 m. How long does it take for light from the sun to reach the earth? Give your answer in seconds
it actually takes 500 seconds if you do the math properly but when converted to min 500 sec is 8 min and 20 sec
If we do the arithmetic correctly, it truly takes 500 seconds, but when we translate it to minutes, it takes 8 minutes and 20 seconds.
What is Time?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
The four identical dimensions that make up the cosmos are put together to form a single, four-dimensional manifold that is properly called spacetime. Any physical item that is positioned at many points in time has a unique temporal component for each of those periods.
Time is calculated by dividing the distance which is travelled by the speed
For above given example,
the speed of the light is expressed as [tex]3*10^8 m/s[/tex]
Distance of earth from the sun is [tex]1.5 * 10^1^1[/tex] meters.
Thus, Time= Distance of the Earth/ Speed of the light
Time= [tex]1.5* 10^1^1 m[/tex]/ [tex]3*10^8m/s[/tex]
Time = [tex]0.5*10^1^1* 10^-^8\\0.5*10^3\\0.5*1000\\[/tex]
Time= 500seconds which is equals to 8 minutes and 20 seconds.
Thus, it takes 500 seconds for light to travel from the sun to the earth.
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A spaceship orbiting earth flies to the moon. How is the gravitational force pulling on the spaceship related to the distance that the spaceship is from the earth?
Question 25 options:
The gravitational pull of the earth is constant and therefore the gravitational pull on would not change.
As the distance from the earth decreases, the gravitational pull on the spaceship would decrease.
There is no gravity on the moon and therefore only the earth will exert gravitational force on the spaceship.
As the distance from the earth increases, the gravitational pull on the spaceship would decrease.
a boat travels in a straight path that is 25 . west of north which describes the values of the west and north components of the boat's displacement ?
Both components are positive numbers.
Both components are negative numbers.
The west component is a negative number, and the north component is a positive number.
The west component is a positive number, and the north component is a negative number.
Answer:
C on edge
Explanation:
The charge per unit length on a long, straight filament is -94.5 µc/m. (a) find the electric field 10.0 cm from the filament, where distances are measured perpendicular to the length of the filament. (take radially inward toward the filament as the positive direction.)
The electric field at 10.0 cm from a long, straight filament with a charge per unit length of -94.5 µC/m can be calculated using the formula E = λ / (2πε₀r), producing a value directed radially inward.
Explanation:Finding the Electric Field from a Charged Filament
The problem is asking us to calculate the electric field generated by a long, straight filament with a given charge per unit length. By using Gauss's law, we can find the electric field at a distance from the filament. Since the electric field of a uniformly charged infinite line is symmetrical, it only depends on the distance from the line, and it is directed radially.
We can use the formula for the electric field created by an infinitely long straight filament, which is:
E = λ / (2πε0r)
Where:
ε0 is the permittivity of free space (approximately 8.85 x 10-12 C2/N·m2).
r is the distance from the filament, which is 10.0 cm (or 0.10 meters).
By substituting the known values into the equation:
E = (-94.5 x 10-6 C/m) / (2π x 8.85 x 10-12 C2/N·m2 x 0.10 m)
We perform the calculation to find the magnitude and direction of the electric field. The negative sign of λ indicates that the electric field is directed radially inward, towards the filament.
The steel pipe is filled with concrete and subjected to a compressive force of 80 kn. determine the average normal stress in the concrete and the steel due to this loading. the pipe has an outer diameter of 100 mm and an inner diameter of 50 mm. est = 200 gpa, ec = 30 gpa.
The stress on the steel is 3.88mPa and the stress on the concrete is 1.94mPa
Data;
Compressive force = 80knouter diameter = 100m = 0.1minner diameter = 50mm = 0.05mSummation of Forces[tex]\sum f_y = 0 = Pst + Pc - \delta 0 = 0...equation(i)\\\delta st = \delta c\\[/tex]
We can solve for Pst and Pc
[tex]\frac{Pst * L}{\pi/4 * (0.1^2 - 0.05^2) * 200*10^9} = \frac{Pc * L}{\pi/4 * (0.05)^2 * 30*10^9}\\ 0.075Pst = 1.5Pc\\Pst = 20Pc...equation(ii)\\[/tex]
From equation(i) and (ii)
[tex]Pst + Pc + 0 = 80\\Pst = 20Pc\\20Pc + Pc = 80\\21Pc = 80\\Pc = \frac{80}{21} \\Pc = 3.81kN[/tex]
Let's solve for Pst
[tex]Pst = 20Pc\\Pst = 3.81 * 20\\Pst = 76.2kN[/tex]
Normal StressThe normal stress between the concrete and steel can be calculated as
The stress on the steel[tex]\sigma st = \frac{Pst}{A} \\\sigma st = \frac{76.2*10^3}{\frac{\pi }{4} * (0.1^2 * 0.05^2}\\\sigma st = 3.88mPa[/tex]
The stress on the concrete[tex]\sigma c=\frac{3.81*10^3}{\frac{\pi }{4}* (0.05)^2 } \\\sigma c = 1.94mPa[/tex]
The stress on the steel is 3.88mPa and the stress on the concrete is 1.94mPa
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You are in a hot air balloon (yes, another balloon problem!) rising from the ground at a constant velocity of 2.00 m/s upward. to celebrate the takeoff, you open a bottle of champagne, expelling the cork with a horizontal velocity of 6.60 m/s relative to the balloon. when opened, the bottle is 5.90 m above the ground. what is the initial speed of the cork, as seen by your friend on the ground?
A train travels 67 kilometers in 1 hours, and then 81 kilometers in 5 hours. What is its average speed?
What is a property of a transparent object? A. Almost all of the light rays that reach it are scattered. B. Almost all of the light rays that reach it are absorbed. C. Almost all of the light rays that reach it are reflected. D. Almost all of the light rays that reach it pass through it.
A car with mass m traveling at speed v has kinetic energy k. what is the kinetic energy of a second car that has the same mass m and twice the speed of the first car? k 1.4 k 2 k 4 k
Answer:
the kinetic energy of the second car would be D. 4k
Explanation:
took the test
During one year, eight moose in a population died and two moose were born. Three moose immigrated from another population and five emigrated to find mates.
What was the population growth during this year?
-8 hope it helps i just took the test
Mutations are avoided during replication because DNA polymerase is able to _____?
A.) repair itself
B.) repair the DNA
C.) encode a message
D.) add more codes
Meanwhile DNA construction, maximum DNA polymerases "review their performance," getting the bulk of mis-paired bases in a method called proofreading. Shortly after DNA synthesis, any left mis-paired bases can be identified and substituted in a procedure called mismatch repair. If DNA gets destroyed, it can be fixed by different mechanisms, including chemical repeal, excision restoration, and double-stranded break repair.