The height of the cliff is 88 m.
The initial velocity of the rock, when it is dropped is V(i) = 0 m/s.
The sum of the time taken by the rock to reach the surface of the ocean from the sea cliff and the time taken by the sound of the splash of the rock to the ears of the person who threw the rock is t = 2.7 s.
The speed of sound in air is V(s) = 340 m/s.
The acceleration due to gravity is g = 10 m/s².
The displacement made by the rock during this period will be as follows if we use the kinematic equation for translational motion under gravity and assume that the time it takes the rock to reach the ocean's surface is t₁ :
d = 0 − h = V(i) × t₁ + (1/2) × (− g ) × ( t₁ )²
Since the positions of the rock are taken from the surface of the ocean.
Substituting the values in the equation.
t₁ = √ [ 2h/g ]
( t₁ )² = 2h / g
Since sound moves through the medium at a constant speed, the following is how long it will take for the sound to reach the rock-thrower:
t₂ = h / V(s)
h = V(s) × t₂
Therefore,
( t₁ )² = ( 2 × V(s) × t₂) / g
Now, since t = t₁ + t₂ , therefore, t₂ = t − t₁ .
( t₁ )² = ( 2 × V(s) × ( t - t₁ ) ) / g
( t₁ )² = 2 × ( 340 ) ×( 4.5 − t₁ ) / 10
( t₁ )² = 306 − 68 t₁
Now,
( t₁ )² - 306 + 68t₁ = 0
By using the quadratic formula,
t₁ = { − 68 ± √ [( 68 )² − 4 × ( 1 ) × ( − 306 )] } / 2 × ( 1 )
t₁ = − 68 ± 76.47 / 2
( t₁ = − 68 + 76.47 / 2 = 4.24 s) and;
( t₁ = − 68 − 76.47 / 2 = − 72.24 s )
Since time can't be negative,
t₁ = 4.24 s.
Therefore,
t₂ = t − t₁
t₂ = 4.5 s − 4.24 s
t₂ = 0.26 s
Now,
h = V(s) × t₂
h = ( 340 m / s ) × ( 0.26 s )
h ≈ 88 m
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Which of the following is NOT an example of diffraction?
Dark and light interference patterns on a screen after light waves have gone through a slit.
Hearing the seeker shout 'ready', when you are behind a tree.
Light spreading out as it goes through a tiny gap in a door
Ocean waves spreading out as they go through a gap in a sea-wall
Dark and light interference patterns on a screen after light waves have gone through a slit is NOT an example of diffraction
What is wave diffraction?The process by which wave energy disperses perpendicular to the predominant direction of wave propagation is known as wave diffraction. Wave diffraction is particularly interested in abrupt changes in boundary conditions, such as those at breakwater roundheads, where diffraction transfers wave energy into the shadow zone.
Waves spread out when they go through an aperture or around objects, which is known as diffraction. It happens when the aperture's or obstacle's size is of the same order of magnitude as the wave's wavelength.
When waves go from one medium to another, they may refract, changing their direction. A shift in speed and wavelength always accompany refraction. Diffraction is the wave's bending.
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What acceleration will you give to a 28.9 kg
box if you push it with a force of 87.2 N?
Answer in units of m/s².
Answer:
acceleration = 3.02 m/s²
Explanation:
To calculate the acceleration, we can use the formula for force:
[tex]\boxed{F = ma}[/tex],
where:
F = force applied
m = mass of object
a = resultant acceleration.
We can rearrange the above formula to make acceleration (a) the subject:
[tex]a = \frac{F}{m}[/tex]
⇒ a = [tex]\frac{87.2}{28.9}[/tex]
⇒ a = 3.02 m/s²
Therefore the acceleration given to the box is 3.02 m/s².
Guys please help me with this question please help me!!!!!!!!!!!!!!!
Answer:
Question 1;
[tex]{ \bf{boyle s \: law}}[/tex]
Question 2;
[tex]{ \tt{a = \frac{1}{22} }} \\ \\ { \tt{a = 0.05}}[/tex]
Question 3;
According to FDA regulations, if a product claims to be "low calorie," it means that it must contain
100 calories or fewer per serving
150 calories or fewer per serving
200 calories or fewer per serving
40 calories or fewer per serving
Answer:D
Explanation:D
If a product claims to be low-calorie, then it means that it must contain 40 calories or fewer per saving. Hence, option D is correct.
What is Calorie?Our bodies need energy to keep us alive and to make sure that our organs are functioning properly.
When we eat and drink, we provide our bodies with energy. Our bodies consume that energy during routine tasks like breathing and jogging.
To keep a constant weight, the amount of energy we put into our bodies must correspond to the amount of energy we expend during routine biological functions and physical activity.
A key element of a balanced diet is striking a balance between the energy you put into your body and the energy you expend.
For instance, the more physical activity we do, the more energy we use.
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What is the speed the camera hits the ground at?
The speed of the camera hits the ground it depend on height and g.
An object in free fall is one that is under the influence of gravity and is accelerating towards the earth's surface. Freefall formulae may be used to characterize this motion, allowing us to solve for the components of the object's motion at different time frames. This time range can be when the item is released, when it reaches the Earth's surface, or anyplace in between.
energy conservation to equal change in gravitational potential energy on mass attached to spring and elastic potential energy of stretched spring. Then, in the equation, substitute the specified numbers and solve for the spring constant. Then, calculate the amplitude by taking half of the value of spring stretching from equilibrium, and the frequency of oscillation by using the calculation for frequency of oscillation in a stretched string in terms of mass and spring constant.
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An economist would like to estimate the proportion of young adults who have college debt. An online survey invites
young adults to share information about their level of college debt. Which of the following describes the survey
design and potential bias?
O This is voluntary response and is likely to overestimate the proportion of young adults with college debt.
O This is voluntary response and is likely representative of the proportion of young adults with college debt.
O This is voluntary response and is likely to underestimate the proportion of young adults with college debt.
O This is a convenience sample and is likely to overestimate the proportion of young adults with college debt.
Mark this and return
Save and Exit
Next
Submit
An economist would like to estimate the proportion of young adults who have college debt. The statement that describes the survey is option A. This is a voluntary response and is likely to overestimate the proportion of young adults with college debt.
An economist is a professional and practitioner inside the social technological know-how field of economics. The character may also observe, broaden, and observe theories and ideas from economics and write about financial coverage.
Economics majors are successful in a huge variety of careers. despite the fact that various roles in corporations are most not unusual, economics majors are a success in law, medicinal, authorities, non-profits, and worldwide members of the family, as well as in educational roles. Economists paintings in lots of fields which include academia, authority, and in the personal region, where they may additionally look at information and facts so that you can spot tendencies in financial activity, monetary self-assurance stages, and customer attitudes.
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Answer: A "This is voluntary response and is likely to overestimate the proportion of young adults with college debt."
Which statement describes the law of conservation of energy?
Answer:
energy cannot be created or destroyed, although it can be changed from one form to another. KE + PE = constant.
Explanation:
please make my answer as brainelist
.............................................
Explanation:
where is the questions you are asking
As a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 49.0 kg. If this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 6.50 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following.
The acceleration is computed at 16.625ms⁻²;
The Magnitude of Net Force = 814.625 N; and
The Magnitude of upward force exerted by tail fin = 1,294.825 N. See the explanation below.
What is the computation explaining the above answers?Mass of the salmon fish = 49 kg
Length of the Salmon Fish = 1.5 m
g = 9.8 ms⁻²
[A] salmon's acceleration during the time interval N:
Downward Force on the fish is equal to the Force due to gravity and is given as:
F₂ = mg
= 49 * 9.8
= 480.2 N
The direction of movement of the fish is upward and the acceleration is constant. We are given two different velocities of fish at two different instances.
When the head breaks out of the water surface first:
Initial velocity = v₁ = 3 m/s
When two third of its body length is out = d = 1 m
Final Velocity = v₂ = 6.5 m/s
Using the third equation of motion:
2*a*d = v₂² - v₁²
a = (6.5² - 3²)/2*1
a = 16.625 ms⁻²
[B] magnitude of force F during this interval N = ?
We are assuming that F is the net force consisting of both the upward and the downward force.
According to Newton's 2nd law of motion, Force is given as:
F = ma
F = 49 kg * 16.625
F = 814.625 N
Magnitude of upward Force = Fₓ
Force Fₓ exerted by the tail fin of the fish is given by
F = Fₓ - F₂
=> Fₓ = F + F₂
Fₓ = 814.625 + 480.2
Fₓ = 1294.825 N
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How much kinetic energy does a 4.50kg block with a speed of 5.00m/s have?
Answer:
56.25J
Explanation:
Kinetic energy = 1/2 x 4.50 x (5.00)^2= 1/2 x 4.50 x (5.00 x 5.00)= 1/2 x 4.50 x 25Multiply through = 112.5/2= 56.25J
A skateboarder starts up a 1.0-m-high, 30∘ ramp at a speed of 9.0 m/s. The skateboard wheels roll without friction. At the top, she leaves the ramp and sails through the air.
How far from the end of the ramp does the skateboarder touch down?
Express your answer with the appropriate units.
The skateboarder touches a distance of R= 7.09m from the end of the ramp.
What is velocity?Velocity can be defined as the rate of change of the object's position with respect to a frame of reference and time.
From the given instance, the skateboarder touches a distance of R= 7.09m from the end of the ramp
Velocity along y axis = 9.0 sin30 = 4.5m/s.
Velocity along x axis = 9cos30 = 7.79m/s
Vfinal -Vinitial = acceleration * time
4.5 = 10t ; t(up) = 0.45s.
Hy = 9*(sin 30°)*T1 - (1/2)*g*T1^2 [ upward movement]
Hy= 9*(1/2)*0.45 - (1/2)*9.81*0.45^2
Hy = 2.025 - 0.993
Hy = 1.032
T2 = √[(2/9.81)*1.032] = 0.46
R = (T1 + T2)*9*(cos 30°)
R= (0.45+0.46)* 9* 0.8660
R= 7.09m
In conclusion, Velocity is a vector quantity that refers to "the rate at which an object changes its position.
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if a rock has a volume of 22.0 mL and a mass of 55 g. what is the density?
The density of the given details is ρ = 2.5 g/ml.
Equation :To find density
Using formula,
ρ = m / V
Given,
m = 55g
V = 22ml
ρ = ?
Putting values,
ρ = 55 g / 22.0 mL
ρ = 2.5 g/ml
What does density mean?The density of an area refers to the quantity of things—which may include people, animals, plants, or objects—there are in it. Divide the number of objects by the area's measurement to determine density. A country's population density is calculated by dividing its total population by its area, expressed in square kilometers or miles.
What are types of density?There are two types of density: absolute density and relative density. The ratio of a material's density to the density of a reference material is known as its relative density, also referred to as specific gravity.
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How long does it take to drive at 8 m/s for 30 km (answer in seconds)? * 3750 s 3750 min 37500 s 375 s
Answer: 3750 in seconds
unit used to measure resistance
State coulumbs law of electrostatics
Answer:
It states that the magnitude of force is directly proportional to the product of charges at points and inversely proportional to the square of their separation distance
Explanation:
[tex]{ }[/tex]
Answer:
It states that the magnitude of force is directly proportional to the product of charges at points and inversely proportional to the square of their separation distance
Explanation:
[tex]{ }[/tex]
Which formula describes
acceleration?
O m/s
O m²
O m/s²
O s/m
Answer:
the answer is the formula of acceleration is m/s²
Describe at least two gravitational forces that exist in the diagram above.
There are just two factors that matter when discussing the gravitational pull of one item on another: the mass of each object and the distance between them.
This is further explained below.
What are gravitational forces?Generally, According to Newton's global law of gravitation, the amount of force exerted by the attraction between any two bodies is directly related to the sum of their masses and inversely related to the square of the distance that separates them from one another.
In conclusion, The magnitude of the gravitational pull between two objects is proportional to the product of their respective masses and the square of the distance that separates them.
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What are the possible causes of generator voltage not building up?
Answer:
The most common causes of a generator producing no power are the loss of residual magnetism in the alternator and a failed AVR or another excitation component. If the voltage is around 50-70V on each phase, then it is likely the AVR needs replacement.
1. Reflect back on a time when you did something you later were at least somewhat uncomfortable with. Maybe it was something you said or did, but upon reflection you knew it wasn't the right thing to do. If you can't think of a real situation, you can create a hypothetical one.
The goal in the exercise is this:
1. What were your motives for doing what you did?
2. Why did you later question your own motives?
3. Reference the material used/learned in this lesson.
4. If you didn't question your motives then, question them now. Did you do the right thing in the end? If so, why, if not, why not?
2. The second part of the assignment is also two pages. In this part of the essay, you're going to question and analyze someone else's motives. They can be anybody and any situation. They can be someone you know, (please protect confidentiality and don't use actual names), or they can be a famous/public figure, (for example: why did Nixon ultimately step down from the presidency?). Proceed as follows:
1. Briefly describe the situation.
2. Analyze the situation and the person's motives for what they did using reference to the materials used/learned in this lesson.
3. Explain what you think the person could have differently to deal with the situation and why.
[tex]\pink{ \rule{2pt}{99999pt}}[/tex]
Question 4 (1 point)
Chun sprints the 100-meter dash and at the end his muscles are burning. Chun's
sprint is what type of exercise?
anaerobic
Oshort-term
aerobic
flexibility
Chun's spring exercise would be an anaerobic process which is the correct answer would be an option (A).
What are the anaerobic processes?The rate-limiting phases in anaerobic processes are the hydrolysis conversion rate and the rate at which methanogenesis uses soluble substrates. The overall amount of solids converted is affected by the hydrolysis of colloidal and solid particles, although neither the process operation nor stability is affected.
Anaerobic means "without oxygen," so this sort of exercise causes the body to break down glucose without the use of oxygen.
At the end of his 100-meter sprint, Chun's muscles are burning.
So Chun's spring workout would involve anaerobic activity.
Therefore, Chun's spring exercise would be an anaerobic process.
Hence, the correct answer would be an option (A).
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Answer:
Option A
Explanation:
A boat moves through the water with two forces acting on it. One is a 1,725-N forward push by the water on the propeller, and the other is a 1,300-N resistive force due to
the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.30
m/s 2
(b) If it starts from rest, how far will the boat move in 20.0 s?
2
m
(c) What will its velocity be at the end of that time?
3
m/s
(a) The acceleration of the 1,400-kg boat is 0.30 m/s².
(b) The boat move 60 m in 20.0 s
(c) The velocity at the end of that time will be 6 m /s
The formula for force states that force is adequate mass increased by acceleration. So, if you recognize mass and acceleration, simply multiply them along and currently you recognize the force. The units for acceleration are meters per second square ( m/s2), and therefore the units for mass are kilograms (kg).It is given that mass of the boat = 1400 kg , forward push on the boat by the propeller = 1,725 N and resistive force of water = 1300 N
(a) Let the acceleration of the boat be "a" .
The net force on the boat will be
F(net) = F(push) - F(R)
= 1725 - 1300
= 425 N
Using Newton's second law of motion , we get
F(net) = ma
a = F(net) / m
= 425 / 1400
= 0.30 m/s²
(b) Let the distance moved by the boat be "d" .
It is given that it starts from rest which means that u = 0
Now using the kinematic equation s = ut + 1/2at² . ...(1)
Putting a = 0.30 , t = 20 and u = 0 in equation (1) , we get
s = 0 (20) + 1/2 (0.30)(20)²
= 0 + 1/2 (0.30 × 400)
= 120 /2
= 60 m
(c) Let the final velocity of the boat be "v" .
Using the kinematic equation v = u + at ..(2)
Putting a = 0.30 , t = 20 and u = 0 in equation (2) , we get
v = 0 + (0.30)(20)
= 6 m /s
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What will be the potential energy of a body if its mass is 30 kg and located 30m high from the ground? SE
The potential energy of a body with given mass and height is, P.E. = 8,820 J.
Equation :P.E. = mgh
where,
m is the mass in kilograms,
g is the acceleration due to gravity
h is the height in meters
Given data,
mass = 30 kg
height = 30m
acceleration due to gravity = 9.8 m / s²
P.E. = ?
Using formula,
P.E. = mgh
Putting values,
P.E. = 30 x 9.8 x 30
P.E. = 8,820 J
What means potential energy?Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has more potential energy when it is raised above the surface of the earth than when it is brought to Earth.
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Motion law with justification
Answer:
motion law was given by newton.
Law of Inertia, Law of Mass and Acceleration, and the Third Law of Motion is the 3 law of motion
Explanation:
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Paola can flex her legs from a bent position through a distance of 22.3 cm . Paola leaves the ground when her legs are straight, at a speed of 4.20 m/s .
Calculate the magnitude of her acceleration, assuming that it is constant.
The acceleration can be calculated using the third free fall equation. Paola will accelerate throughout flight at a rate of 39.55 m/s2.
Acceleration is a quantity that is inversely related to time taken as well as having a direct link with velocity. A vector quantity, that is.
The third free fall equation can be used to calculate Paola's acceleration.
V^2 = U^2 + 2 as
where s is the distance travelled, an is the acceleration, V is the final velocity, U is the beginning velocity, and
Given the query, the values are: s = 22.3 cm (0.223 m), U = 4.20 m/s, and V = 0.
Poala defies gravity, so as a result, we have:
0 = (4.20)² - 2(a x 0.223)
= 17.64 - 0.446a
0.446a = 17.64
a = 17.64/0.446 = 39.551
a = 39.55 m/s²
Therefore Paola's acceleration is
39.55 m/s²
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An old theory about the creation of the universe has been replaced by a new theory. Which of these statements is correct about the two theories? The old theory was rejected because it could not become a law. The old theory would be again accepted by a few scientists if it becomes a law. The new theory is a valid explanation which cannot become a law. The new theory can become a law if it gets the support of the scientific community.
Answer:
A because it was rejected as it cannot become a law it was totally wrong as compared to today's information about out universe that how big bang theory was there.... So it is right the option A
Look at the diagram below. Are the lamps connected in series or in parallel?
The lamps shown in the diagram are connected in parallel.
Briefing :The impact on the output voltage and the capacity of the battery system is the primary distinction between wiring batteries in series and parallel. The voltages of batteries connected in series will be added. Batteries connected in parallel will have their amp-hour capacities added together.
Do batteries last longer in series or parallel?Because the voltage stays the same while the amps increase, parallel batteries last longer. It will still be a 12 volt system if you connect two 12v 50ah batteries in parallel, but because the amps double to 100ah, the batteries will last longer.
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1) A tiger leaps horizontally from a 7.5 m high rock with a speed of 4.5 m/s. How far from
the base of the rock will it land?
The distance of tiger's leap from the base of rock is 5.58 m
It is a question of two dimensional motion
The time of motion in two dimensional motion is given by:
t= [tex]\sqrt{2y/g}[/tex]
where y is the height and g is the acceleration due to gravity
y is given to be 7.5m and let us assume g to be 9.8 m/s^2
t = [tex]\sqrt{2 * 7.5/9.8}[/tex]
= 1.24s
Using time and speed,
We know that distance is the product of speed and time,
Distance= speed x time
speed is given to be 4.5 m/s
distance from the base of rock = 4.5 x 1.24
= 5.58m
Hence the distance of tiger's leap from the base of rock is 5.58 m
Disclaimer:
The acceleration due to gravity is assumed to be 9.8 m/s^2
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example of wood wind musical instrument
Flute, Clarinet, Saxophone, Piccolo, Tenor Sax oboe
Piccolo
Flute
Clarinet
Saxophone (all registers)
Oboe
English Horn
Bassoon
Calcium has a density of 1.54 g/mL. What mass would 3.00 mL have?
The mass of calcium in given density and volume is 0.5133g.
Equation :ρ = m / V
where
ρ is density,
m is mass,
V is volume,
Given,
ρ = 1.54g/ml
V = 3 ml
m = ?
Putting values,
1.54 g/ml = m / 3ml
m = 0.5133g
What is the mass volume formula?The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).
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6. I need help please
The average speed of Maria and Kuba in km/h is 120 km/h.
The average speed of Maria and Pierre in km/h is 8 km/h.
Average speed of Maria and Kuba
The average speed of Maria and Kuba in km/h is calculated as follows;
v = distance / time
distance = 30 km
time = 15 minutes = 15/60 = 0.25 hour
v = 30 km / 0.25 hr
v = 120 km/h
Average speed of Maria and PierreThe average speed of Maria and Pierre in km/h is calculated as follows;
v = distance / time
distance = 2000 m = 2 km
time = 900 seconds = 900 / 3600 = 0.25 hour
v = 2 km / 0.25 hr
v = 8 km/h
Thus, the average speed of Maria and Kuba in km/h is 120 km/h.
The average speed of Maria and Pierre in km/h is 8 km/h.
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