The lowest-intensity sound that is still audible has an intensity of approximately I= 10^-12 W/m^2. Consider a jet that flies at an altitude of 6,500 m. Estimate the smallest the sound power output of the airplane engine could be so that it could still be heard on the ground.
The smallest sound power output of the airplane motor that can be listened to on the ground is 6.73 × 10^-6 W which has the lowest-intensity sound that is still loud and has an intensity of 10^-12 W/m^2.
The intensity of sound = 10^-12 W/m^2
Altitude = 6,500 m.
Calculate the smallest sound energy output of an aircraft motor that can be heard on the ground is done by using the formula:
I = P/(4πr^2)
Pythagoras' theorem is used for calculating the distance
d = (\(\sqrt{6500^2 + R^2}\))
I = 10^-12 W/m^2
d = \(\sqrt{6500^2 + R^2}\)
d = 6500 m
P/(4πd^2) = I
\(P/(4π(6500)^2) = 10^-12 W/m^2\)
\(P = 4π(6500)^2 × 10^-12 W\)
P = 6.73 × 10^-6 W
Therefore, we can conclude that the smallest sound power output of the aircraft engine that can be heard on the ground is 6.73 × 10^-6 W.
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Help please…………………,,,,,
Answer:
*insert smrt science stuff here*
Explanation:
am smrt
consider the titration of 100.0 ml of 0.200 m acetic acid (ka by 0.100 m koh. calculate the ph of the result- ing solution after the following volumes of koh have been added.
Answer: The pH of the solution after 50.5 mL of 0.100 M KOH has been added is 16.85.
The reaction between acetic acid and potassium hydroxide (KOH) is given by the equation:
CH3COOH + KOH → CH3COOK + H2O.
It can be observed that for every mole of KOH added, one mole of H+ from CH3COOH reacts with one mole of OH- from KOH to produce one mole of H2O. Therefore, after the addition of n moles of KOH, the number of moles of H+ remaining is (0.200 - n) moles (since 0.200 M is the initial concentration of acetic acid). On the other hand, the number of moles of CH3COOK produced is also n moles; thus the final concentration of CH3COOK is n/V (where V is the total volume of the solution).
The reaction produces a salt (CH3COOK), which is neutral. Therefore, the final pH is given by: pH = pKa + log([A-]/[HA]) where A- is CH3COOK and HA is CH3COOH.
To find the pH of the resulting solution after the following volumes of KOH have been added, we need to calculate the number of moles of KOH added, the number of moles of CH3COOK produced, the number of moles of CH3COOH remaining, and the total volume of the solution. Then we can use the Henderson-Hasselbalch equation above to find the pH.
Here are the calculations: Initial number of moles of CH3COOH = M × V = 0.200 × 0.100 = 0.020 moles. For each mole of KOH added, one mole of CH3COOH reacts with one mole of KOH to produce one mole of CH3COOK.Number of moles of KOH added Volume of KOH added (mL)Moles of KOH added0.02 0.00 (initial) 0.000.02 10.10 0.010.02 20.20 0.020.02 30.30 0.030.02 40.40 0.040.02 50.50 0.05Number of moles of CH3COOK produced = number of moles of KOH added = n moles. Concentration of CH3COOK produced = n/V = n/(Vinitial + V added) = n/(0.100 L + V added)
Number of moles of CH3COOH remaining = initial number of moles - number of moles of KOH added = 0.020 - n moles. Total volume of the solution after the addition of KOH = V initial + V added = 0.100 L + V added. We can then use the Henderson-Hasselbalch equation to find the pH: pH = pKa + log([A-]/[HA])where A- is CH3COOK and HA is CH3COOH.pKa of acetic acid = 4.76
Let's tabulate the values of n, [A-], [HA], and pH for each volume of KOH added: Number of moles of KOH added n (moles)Concentration of CH3COOK produced [A-] (M)
Number of moles of CH3COOH remaining [HA] (M)pH0.000.000.020.76 (initial)0.010.010.019.84 0.020.020.018.98 0.030.030.018.20 0.040.040.017.49 0.050.050.016.85.
The pH of the solution after 50.5 mL of 0.100 M KOH has been added is 16.85.
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In which of these reactions is energy released?
A. Exothermic reactions
B. No reactions
C. All reactions
D. Endothermic reactions
Answer:
exothermic reaction
Explanation:
Exothermic reactions are reactions or processes that release energy, usually in the form of heat or light. In an exothermic reaction, energy is released because the total energy of the products is less than the total energy of the reactants.
Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes
48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.
To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.
1 km (kilometer) = 1000 meter
1 h (hour) = 3600 seconds
1 minutes = 60 seconds
To convert m/s into km/h,
48 m/s * 3600/1000 = 172.8 km/h
To convert m/s into m/min,
48 m/s * 60 = 2880 m/min
To convert m/s into km/s,
48 m/s ÷ 1000 = 0.048 km/s
To convert m/s into km/minutes,
48 m/s * 60 / 1000 = 2.88 km/min
Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.
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48 m/s is equivalent to 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
To express 48 m/s in different units of velocity:
km/h (kilometers per hour):
To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.
48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h
Therefore, 48 m/s is equivalent to 172.8 km/h.
m/min (meters per minute):
To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.
48 m/s * (60 m/min / 1 s) = 2880 m/min
Therefore, 48 m/s is equivalent to 2880 m/min.
km/s (kilometers per second):
Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.
48 m/s / 1000 = 0.048 km/s
Therefore, 48 m/s is equivalent to 0.048 km/s.
km/minute (kilometers per minute):
To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.
0.048 km/s * 60 = 2.88 km/minute
So, 48 m/s is equivalent to 2.88 km/minute.
Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
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The slope of a distance vs. time graph is a measurement called
A. displacement
B. speed
C. correlation
D. velocity
Answer:
B. speed
Explanation:
im not sure hahahaha
when does the bird have the most potential energy when it dives into a oceran
The bird has the most potential energy when it is at the highest point of its dive into the ocean.
1. Potential energy is the energy possessed by an object due to its position or state.
2. In this case, we are considering the potential energy of a bird diving into the ocean.
3. The potential energy of an object depends on its height and mass.
4. When the bird is at the highest point of its dive, it has the maximum potential energy.
5. As the bird dives deeper into the ocean, its height decreases, resulting in a decrease in potential energy.
6. At the moment the bird reaches the surface of the water, its potential energy is at its minimum, as it is at its lowest height.
7. The potential energy is converted into kinetic energy as the bird accelerates towards the water.
8. Kinetic energy is the energy possessed by an object due to its motion.
9. When the bird enters the water, its potential energy is completely converted into kinetic energy.
10. The bird continues to possess kinetic energy as it moves through the water.
11. Once the bird comes to a stop in the water, its kinetic energy is reduced to zero.
12. At this point, the bird's potential energy is also zero, as it is at its lowest height and not in motion.
13. Therefore, the bird has the most potential energy when it is at the highest point of its dive into the ocean.
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What would stars be like if hydrogen, rather than iron, had the lowest mass per nuclear particle?
If hydrogen, rather than iron, had the lowest mass per nuclear particle, stars would have significantly different properties and behavior than they currently do.
Firstly, nuclear fusion in stars primarily involves the fusion of hydrogen atoms into helium, which releases energy in the form of light and heat. This process, known as the proton-proton chain, is what powers the stars and makes them shine. If hydrogen had the lowest mass per nuclear particle, the energy output from this fusion process would likely be different, potentially affecting the brightness and temperature of stars.
Secondly, the stability of stars depends on a delicate balance between gravitational forces pulling inward and the outward pressure created by the nuclear reactions. If hydrogen had the lowest mass per nuclear particle, the balance between these forces might be altered, potentially affecting the lifespan and stability of stars.
Moreover, the nucleosynthesis process, in which heavier elements are created through fusion in the cores of stars, would also be affected. The change in the mass per nuclear particle of hydrogen might alter the way these elements are produced, affecting the composition of stars and the materials they release into space upon their death.
Lastly, the impact of this change would extend beyond stars, affecting the formation of planets, galaxies, and the overall structure of the universe. The change in the properties of hydrogen could lead to a different distribution of elements throughout the cosmos and a potential alteration of the conditions necessary for the emergence of life.
In summary, if hydrogen, rather than iron, had the lowest mass per nuclear particle, stars would have different properties, behavior, and composition, ultimately affecting the entire universe's structure and evolution.
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Use the following to answer Questions 16-19. A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal infection. A random sample of 50 fish is taken to determi
To estimate the proportion of fish in the large fishing farm that have the fungal infection, a random sample of 50 fish is taken.
A random sample is a subset of a statistical population. It is selected randomly and has an equal chance of being chosen for the sample. For instance, if 50 fish are randomly chosen from a large fishing farm, they should represent all of the fish on the farm. The main idea of statistical sampling is that a sample should be chosen randomly so that it can be assumed that the sample is similar to the entire population. This is known as "representative sampling."This method of sampling aids in determining the characteristics of the entire population, such as the presence of a fungal infection in the entire population of fish. The proportion of fish that are infected with the fungal infection is estimated using this representative sample. The population of fish, in this case, is referred to as the statistical population because it encompasses the entire population of fish in the fish farm.
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does food have energy?
Answer:
Yes.
Explanation:
Food provides units of energy in the form of calories that give our bodies fuel to perform all functions from the most basic like breathing to more complicated activities. We need a minimum amount of calories from food to sustain basic metabolic functions and more to carry out physical activities. The more active we are, the more food we need.
Answer:
yes
Explanation:
because Our body uses energy for all of its functions and food is the main source of energy. Food contains nutrients that when broken down in the gastrointestinal tract release energy that can be used by the body's cells, tissues and organs for normal function, growth and repair.
When looking at the brightest stars in the night sky, what intrinsic property can we estimate with the unaided eye?.
The intrinsic property that we can estimate with unaided eye, when looking at brightest stars, is temperature .
The intrinsic properties of stars are those which does not depend upon the distance of star from the earth e.g. temperature, mass, diameter, etc.
The temperature can be estimated by an unaided eye as the red stars are known to be cooler than the blue ones. The other intrinsic properties can't be predicted by unaided eye and require special optical instruments to make the observations. By the beginning of the 20th century, astronomers understood how to measure these intrinsic properties. Other than the temperature , the other important intrinsic property is the luminosity which can be determined by measuring the distance of star and its apparent brightness.
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The hair shaft is made up of three layers: an __ medulla , a cortex, and an ___cuticle
- absent; colored
-Colored; absent
-inner; outer
-outer ; inner
Satellite A has a mass of 1. 5x10^3 kilograms and is traveling east at 8. 0x10^3 meters per second. Satellite B is traveling west at 6. 0x10^3 meters per second. The satellites collide head-on and come to rest. What is the mass of satellite B?
The mass of satellite B is equal to 2 X 10³ Kg.
Mass of satellite A = m = 1.5 X 10³ Kg
Mass of satellite B = m'
Velocity of satellite A = v = 8 X 10³ m/s
Velocity of satellite B = v' = 6 X 10³ m/s
To find mass of satellite B = m' =
Using the theorem of conservation of linear momentum we get,
= momentum of satellites initially = momentum of satellites finally
= mv + m'v' = m(0) + m'(0)
= mv + m'(-v') = 0
= mv = + (m'v')
= 1.5 X 10³ X 8 X 10³ = m' X 6 X 10³
= m' = ( 1.5 X 10³ X 8 X 10³ ) / 6 X 10³
= m' = 2000 Kg
Thus, mass of satellite B is 2 X 10³ Kg.
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What are examples of devices that use electromagnetic waves? Check all that apply.
FM radios
microwaves
TV remote controls
alarm clocks
X-rays
Answer:
FM radios
Microwaves
Tv remote controls
X-rays
(Hope this helps)
Explanation:Its on edge
All these devices use electromagnetic waves:
FM radios Microwaves TV remote controls X-raysWhat are EM Waves?
Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. Also, EM waves are composed of oscillating magnetic and electric fields.The electromagnetic spectrum includes, from longest wavelength to shortest: radio waves, microwaves, infrared, optical, ultraviolet, X-rays, and gamma-rays.Therefore, all devices except alarm clocks has electromagnetic waves.
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*Average Speed v = d/t
Distance d = v t
Time t = d/v
* remember v = average speed
Solve the following problems for average speed, distance or time. Round to tenths place:
Find the distance traveled by a car that travels with an average speed of 110 km/h for 3.5 h.
How long does it take a baseball moving with an average speed of 35 m/s to travel 18 m?
What is the average speed of a car that travels 870 km in 14.5 h?
Find the distance traveled by a car that travels with an average speed of 110 km/h for 3.5 h
To solve for distance:
d = v t
d = 110 × 3.5
d = 385 km
How long does it take a baseball moving with an average speed of 35 m/s to travel 18 m?
To solve for time:
t = d/v
t = 18 / 35
t = 0.514286
t = 0.5 s
What is the average speed of a car that travels 870 km in 14.5 h?
To solve for average speed:
v = d/t
v = 870 / 14.5
v = 60 km/h
matching: one instance of entity (a) being associated with one other instance of another entity (b) = ____________
Matching: One instance of entity (a) being associated with one other instance of another entity (b) = One-to-One Relationship.
In database design and entity relationship modeling, a one-to-one relationship refers to a relationship between two entities where each instance of entity (a) is associated with exactly one instance of entity (b). This means that for every record or instance in entity (a), there is a unique and corresponding record or instance in entity (b).
The relationship is one-to-one because there is a strict pairing between the instances of both entities, and no duplication or multiple associations exist. This type of relationship is commonly used when there is a need to split data into separate entities to minimize redundancy or manage distinct attributes.
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A weight lifter lifts a set of weights a vertical
distance of 3.66 m. If a constant net force of 370 N
is exerted on the weights, how much net work is done on the weights?
1.741.3
2. 1214.01
3.431.52
4. 381.92
5.874.68
6. 1179.02
7. 1354.2
8. 1154.56
9. 1509.12
10. 706.85
Answer in units of J.
Answer:
See below
Explanation:
Work = F * d
= 370 N * 3.66 m = 1354.2 J
Suppose you exert a force of 2,800 N to lift a desk up onto a porch. But if you use a ramp, you need to exert a force of only 1,400 N to push it up the ramp onto the porch. What is the mechanical advantage of the ramp?
The force needed to raise an object without a ramp and the force needed to push it up a ramp can be used to calculate the mechanical advantage of a ramp. In this instance, 2,800 N of force is required to elevate the desk without the ramp. But when using the ramp, it can be pushed up with just 1,400 N of effort.
To determine mechanical advantage, divide the input force by the output force. In this case, the input force is 2,800 N without the ramp, while the output force is 1,400 N with the ramp. In light of this, the mechanical benefit of the ramp can be calculated as follows:
Input force minus output force is the mechanical advantage.
1,400 N x 2,800 N = mechanical advantage
Advantage mechanical = 0.5
As a result, the ramp in this situation has a mechanical advantage of 0.5. In other words, the ramp cuts down the force needed to elevate the desk by a factor of 0.5 or 1:2.
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The curve to the right shows the radioactive decay of a particular sample of a nucleus called Element A. A particular nucleus survives for the first five hours, what's the probability that particular nucleus of Element A will decal between hours 5 and 10? What is the probability that particular nucleus of element A will decay between 5 and 20 hours?
The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.
What is nucleus?
Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.
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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.
What do you understand by the probability of disintegration of a radioactive substance?The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.
The expression for the disintegration equation is given by
N(t) = N₀\(e^{-\lambda t}\) .... (1)
The half-life of the particle for 5 hours is given by
N(5) = N₀/2
Substitute in equation (1) to get
N₀\(e^{-\lambda t}\) = N₀/2
\(e^{-\lambda t}\) = 1/2
λ = ln2/5
The half-life of a particle for 10 hours is given by
N(10) = N₀/4
N₀\(e^{-\lambda t}\) = N₀/4
\(e^{-\lambda t}\) = 1/2
λ = ln4/10
The probability of disintegration is given by:
P = N(5) - N(10)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/4)/(N₀/2)
= (N₀(2-1)/4)/ N₀(1/2)
= 1/2
The probability of element decay between 5 to 10 hours is 1/2.
Now, the half-life of a particle for 20 hours is given by
N(20) = N₀/16
N₀\(e^{-\lambda t}\) = N₀/16
\(e^{-\lambda t}\) = 1/16
λ = ln16/20
The probability of disintegration is given by:
P = N(5) - N(1\20)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/16)/(N₀/2)
= (N₀(8-1)/16)/ N₀(1/2)
= 7/8
The probability of element decay between 5 to 20 hours is 7/8.
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What is easier to heat up 1 gram of water or 1 gram of gold?
Gold will be easier to heat up since it has smaller specific heat capacity compared to water.
What is specific heat capacity?
The specific heat capacity of an object is the quantity of heat required to raise the temperature of a unit substance by 1 kelvin.
Q = mcΔθ
where;
c is the specific heat capacity of the substancem is the mass of the substanceΔθ is the change in the temperature of the substancec = Q / mΔθ
The following are the specific heat capacity of water and gold;
specific heat capacity of water = 4.2 J /g⁰C
specific heat capacity of gold = 0.129 J /g⁰C
Thus, since the specific heat capacity of gold is smaller it will be easier to heat up.
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A person walking in high heals can damages the floor by making small dimples in the
floor since all their weight is concentrated on the tip of the high heal. It the person
weighs 81 kg and the high of the tip of the high heal is 3.5 cm2, what is the force over
the floor?
SHOW WORK IF POSSIBLE TANKS A LOT
Answer:
2 314.28571 kg / m
Explanation:
divide
and you see
Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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The unit we use to measure speed is
Answer:
However, to mention a few, there are other units of speed such as meters per second, feet per second, light-years per millennium, and knots. Feet per second, but specially meters per second are usually used to measure speed of animals, humans, and free fall objects. Knots is used to measure the speed of ship and/or boats.
Explanation:
a) On which hemisphere does Bhutan lie on the earth?
Answer:
Northern Hemisphere
Explanation:
The latitude of Bhutan is 27.5142° N, placing the country in the northern hemisphere above the equator
The kinetic and potential energy of a harmonic oscillator in motion:_______
a. are time-independent
b. are perfectly correlated
c. are independent
d. are perfectly anticorrelated
The correct option is D.
The Kinetic Energy and The Potential Energy are perfectly anti-correlated.
Kinetic energy and potential energy are two types of energy that are frequently found in mechanical systems and are referred to as mechanical energy in physics. The idea of mechanical energy conservation is based on an even more general principle known as the law of conservation of energy; the main distinction is that in mechanical energy conservation, all the system's energy is either in the form of kinetic energy, potential energy, or both. A restoring force in a harmonic oscillator works in the direction of an equilibrium point. Simple harmonic motion, which we refer to as repeating the motion, is produced by the force. The system's mechanical energy, which includes both potential and kinetic energy, is ideally constant. In actuality, the energy is preserved by allowing one quantity to grow when the other shrinks, and vice versa. An anti-correlation is a term that describes a negative correlation.
To summarize the kinetic energy and potential energy in a harmonic oscillator are perfectly anti-correlated. The correct option is D.
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find the equivelent resistance of the set of resistors shown
Answer:
The equivalent resistance of a set of resistors connected in Series is the sum of the resistors
R eq = 1 + 2 + 3 + 4 = 10 ohm
In 2 - 3 sentences, explain the difference in Kinetic energy and Potential energy.
The main difference between Kinetic energy and Potential energy is that kinetic energy refers to movement while potential energy refers to storage.
What are Kinetic energy and Potential energy?Kinetic energy is a type of energy in motion or energy in movement such as a turbine (mechanical energy), while Potential energy refers to the energy that is stored to be used when required (e.g. chemical bonds of foods).
Therefore, with this data, we can see that Kinetic energy is used as movement, while Potential energy is stored to be used in the future.
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A golf ball rolled off your 1 space m tall desk. If the golf ball took 0.28 space s to hit the ground 1.35 space m from the table, what was the horizontal velocity of the ball as it rolled off the table?
The horizontal velocity of the golf ball as it rolled off the table was 4.82 m/s.
We can solve this problem using the kinematic equations of motion for constant acceleration, assuming that the only acceleration acting on the golf ball is due to gravity. We can break the motion of the golf ball into two components; a horizontal component and a vertical component.
Let's start with the vertical component of the motion. The vertical distance the golf ball falls from the desk to the ground is 1 meter. We can use the following kinematic equation to find the vertical component of the velocity of the golf ball just before it hits the ground;
d = vit + 1/2 at²
where d is the distance fallen, vi is the initial vertical velocity (which is zero), a is the acceleration due to gravity (-9.81 m/s²), and t is the time it takes to fall 1 meter.
Solving for t, we get;
t = √(2d/a) = √(2 × 1 m / 9.81 m/s²)
= 0.451 s
Now that we know the time it takes for the golf ball to fall 1 meter, we can use the horizontal distance it travels (1.35 meters) and the time it takes to fall (0.28 seconds) to find the horizontal component of the velocity:
v = d / t = 1.35 m / 0.28 s
= 4.82 m/s
Therefore, the horizontal velocity of the golf ball is 4.82 m/s.
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Question 1 of 16
A bowling ball with a mass of 8 kg is moving at a speed of 5 m/s. What is its
kinetic energy?
Answer:
mass energy
Explanation:
because of the kinetic energy
If you climb two sets of stairs each with a height of 4 meters how much work will you do compared to climbing just one set of stairs that is 4 meters
Answer:
You will do twice the work of climbing 1 stair.
Explanation:
To obtain the answer to the question, we shall determine the work done on each case. This is illustrated below:
Case 1 ( climbing 2 stairs):
Mass (m) = m
One stair = 4 m
Height (h) = 2 × 4 = 8 m
Acceleration due to gravity (g) = 10 m/s²
Workdone 1 (Wd₁) =?
Wd₁ = mgh
Wd₁ = m × 10 × 8
Wd₁ = 80 × m
Case 2 (Climbing 1 stair)
Mass (m) = m
Height (h) = 4 m
Acceleration due to gravity (g) = 10 m/s²
Workdone 2 (Wd₂) =?
Wd₂ = mgh
Wd₂ = m × 10 × 4
Wd₂ = 40 × m
Now comparing the Workdone in both case:
Workdone 1 (Wd₁) = 80 × m
Workdone 2 (Wd₂) = 40 × m
Wd₁ / Wd₂ = 80 × m / 40 × m
Wd₁ / Wd₂ = 2
Cross multiply
Wd₁ = 2 × Wd₂
Thus, we can see that the Workdone in climbing 2 stairs is twice the Workdone in climbing 1 stair.
Therefore, you will do twice the work of climbing 1 stair.