A baseball is hit by a batter with an initial velocity of 95 miles per hour at 45° above the horizontal. The opposing team misses the catch and the baseball lands in the outfield 50 meters from where it started. How long was the baseball in the air
Answers
Answer:
5.61 seconds
Explanation:
The baseball moves as a projectile. Its angle is 45° and its velocity is 95 miles per hour.
Let us convert this to metres per second:
1 mile per hour = 0.45 m/s
95 miles per hour = 95 * 0.45 = 42.75 m/s
We need to find the time of flight of the baseball. Time of flight is given as:
\(T = \frac{2u sin\alpha }{g}\)
where u = initial velocity
α = angle
g = acceleration due to gravity (9.8 m/s)
Therefore:
\(T = \frac{2 * 42.75 * sin40}{9.8}\\ \\T = 5.61 secs\)
The baseball was in the air for 5.61 seconds.
Related Questions
Select the correct answer. Which feature of a wave determines its color in the visible spectrum? A. Amplitude B. Composition C. Temperature D. Wavelength.
Answers
Answer:
D. Wavelength
Explanation:
Explanation: the colour of visible light depends on the wavelength of the wave. The visible light spectrum goes approximately from wavelength of 380 nm (corresponding to violet light) to 750 nm (corresponding to red light), and the different colours in between correspond to different wavelengths.
An apple is thrown across the cafeteria with a force of 10 N and at an acceleration of 6 m/s2. What is the mass of the apple? ... please answer asap
Answers
Answer:
Explanation:
F = m * a
The apple's acceleration is not influenced by the acceleration due to gravity for this question. In real life it most certainly is influenced by gravity.
F = m * a
F = 10 Newtons.
a = 6 m/s^2
m = 10/6 = 1.66 kg. Mighty large apple
Plant cells contain both chloroplasts and mitochondria. Compare and contrast the functions
of these organelles.
Answers
Answer:
Mitochondria and chloroplast are organelles found in a plant cell. However, chloroplast is absent in an animal but mitochondria is found in both. Mitochondria generates energy for the cell in the form of ATP using oxygen and nutrients. Chloroplast is the site for photosynthesis in a plant cell.
A tire has a tread pattern with a crevice every 2.20 cm. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at 38.0 m/s
Answers
Answer:
17.27 Hz
Explanation:
Applying
v = λf................ Equation 1
Where v = speed of the car, λ = Distance between successive crevice, f = number of crevice moved in 1 seconds(Frequency of the vibration)
make f the subject of the equation
f = v/λ............. Equation 2
From the question,
Given: v = 38 m/s, λ = 2.2 m
Substitute these values into equation 2
f = 38/2.2
f = 17.27 Hz
type se cable with an insulated neutral conductor is permitted for hooking up an electric range in a new branch circuit.
Answers
Type SE cable with an insulated neutral conductor is permitted for hooking up an electric range in a new branch circuit. Type SE cable with an insulated neutral conductor is permitted for hooking up an electric range in a new branch circuit.
Type SE Cable is primarily utilized for supplying power from a service drop to the meter base and from the meter base to the distribution panelboard; it is frequently utilized as a branch circuit as well.In an electric range branch circuit, a neutral wire is required to be run along with the two hot wires because of the 240V circuits. The NEC code specifies that the branch circuit supplying an electric range must have an ampacity rating of at least 40 amps. It should be equipped with a grounding conductor of a wire gauge equal to or larger than No. 10. The ampacity of the cable should not be less than the rated capacity of the electric range.For electric ranges, Type SE cable with an insulated neutral conductor can be used as long as the cable meets the above-mentioned requirements.
This type of cable is widely utilized in residential and commercial construction applications because it is simple to install and connect to the breaker panel. Furthermore, it provides a significant amount of insulation against heat and moisture, making it appropriate for use in high-temperature applications.The neutral conductor is insulated in the Type SE cable, which indicates that the metal sheath is utilized as a grounding conductor rather than the neutral conductor. This provides an additional layer of protection against electrical shock and fire, making it an excellent option for use in electric range branch circuits. For those who want to wire their electric range with Type SE cable, be sure to follow all of the applicable electrical codes.
Type SE cable with an insulated neutral conductor is permitted for hooking up an electric range in a new branch circuit, provided it meets certain specifications. The cable should have an ampacity rating of at least 40 amps and be equipped with a grounding conductor of a wire gauge equal to or larger than No. 10. The ampacity of the cable should not be less than the rated capacity of the electric range. Type SE cable is widely used in residential and commercial construction because it is simple to install and offers insulation against heat and moisture, making it appropriate for use in high-temperature applications. The neutral conductor is insulated in the Type SE cable, which provides an extra layer of protection against electrical shock and fire. If you want to wire your electric range with Type SE cable, make sure you follow all the relevant electrical codes.
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(a) The thickness of an aquifer is found to be 20 m. Its hydraulic conductivity is 20 cm/ day. Calculate the transmissivity of the aquifer. () (b) A confined aquifer is 33 m thick and 7 km wide. Two observation wells are located 1.2 km apart in the direction of flow. The head in Well 1 is 97.5 m and in Well 2 it is 89.0 m. The hydraulic conductivity is 1.2 m/ day. i. What is the total daily flow through the aquifer? () ii. What is the Transmissivity of the aquifer? () (c) A confined aquifer is 35 m thick and 5 km wide. Two observation wells are located 1.5 km apart in the direction of groundwater flow. The head in well 1 is 100 m and in well 2 is 85 m. The hydraulic conductivity is 2.5 m/ day. What is the daily flow of water through the aquifer? ()
Answers
The answers to the given questions are as follows:
a) Transmissivity of the aquifer with a thickness of 20 m and hydraulic conductivity of 20 cm/day is 0.1667 m²/day.
b) i) The total daily flow through a confined aquifer with a thickness of 33 m, width of 7 km, distance between observation wells of 1.2 km, and hydraulic conductivity of 1.2 m/day is 5.25 m³/day.
ii) The transmissivity of the aquifer is 39.6 m²/day.
c) The daily flow of water through a confined aquifer with a thickness of 35 m, width of 5 km, the distance between observation wells of 1.5 km, and hydraulic conductivity of 2.5 m/day is 16.67 m³/day
(a) To calculate the transmissivity of the aquifer, we need to convert the hydraulic conductivity from cm/day to m²/day.
Given:
Thickness of the aquifer (h) = 20 m
Hydraulic conductivity (K) = 20 cm/day
Transmissivity (T) is calculated as:
T = K × h
Converting hydraulic conductivity to m/day:
K = 20 cm/day × (1 m/100 cm) × (1 day/24 hours)
= 0.008333 m/day
Substituting the values:
T = 0.008333 m/day × 20 m
= 0.1667 m²/day
Therefore, the transmissivity of the aquifer is 0.1667 m²/day.
(b) Thickness of the confined aquifer (h) = 33 m
Width of the aquifer (L) = 7 km = 7000 m
Distance between the observation wells (d) = 1.2 km = 1200 m
Head in Well 1 (h1) = 97.5 m
Head in Well 2 (h2) = 89.0 m
Hydraulic conductivity (K) = 1.2 m/day
i. To calculate the total daily flow through the aquifer, we can use Darcy's Law:
Q = K × L × (h1 - h2) / d
Substituting the given values:
Q = 1.2 m/day × 7000 m × (97.5 m - 89.0 m) / 1200 m
Q = 5.25 m³/day
ii. The transmissivity (T) of the aquifer is calculated as:
T = K × h
Substituting the given values:
T = 1.2 m/day × 33 m
= 39.6 m²/day
(c) Thickness of the confined aquifer (h) = 35 m
Width of the aquifer (L) = 5 km = 5000 m
Distance between the observation wells (d) = 1.5 km = 1500 m
Head in Well 1 (h1) = 100 m
Head in Well 2 (h2) = 85 m
Hydraulic conductivity (K) = 2.5 m/day
To calculate the daily flow of water through the aquifer, we can use Darcy's Law:
Q = K × L × (h1 - h2) / d
Substituting the given values:
Q = 2.5 m/day × 5000 m × (100 m - 85 m) / 1500 m
Q = 16.67 m³/day
Therefore, the daily flow of water through the aquifer is 16.67 m³/day.
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. A cylinder of mass M and radius R is released from rest at the top of an inclined plane. The cylinder rolls without slipping down the incline. The rotational inertia of the cylinder is MR2/2.
Derive an expression for the angular momentum of the cylinder about its center of mass when it has rolled a vertical distance h. Express your answer in terms of M, R, h, and physical constants, as appropriate.
Answers
For a cylinder of mass M and radius R is released from rest at the top of an inclined plane, the expression is mathematically given as
L=MR * √{gh/3}
What is the expression for the angular momentum of the cylinder about its center of mass when it has rolled a vertical distance h.?Generally, the equation for the angular velocity is mathematically given as
w=V/R
Therefore
\(w=\frac{\sqrt{ugh/3}}{R}\)
In conclusion, at instance of IW, the angular velocity
\(L=MR^2/2 * 2\sqrt{gh/3}/R\)
L=MR * √{gh/3}
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A strategy to provide the same or better value to customers at a lower cost than offered by competitors to achieve competitive advantage is a a.linkage strategy. b.cost leadership strategy. c.focusing strategy. d.value-chain strategy.
Answers
A strategy to provide the same or better value to customers at a lower cost than offered by competitors to achieve competitive advantage is b.cost leadership strategy
A cost leadership strategy aims to provide the same or better value to customers at a lower cost than competitors. This strategy allows a company to achieve a competitive advantage by focusing on minimizing costs and optimizing operational efficiency. By doing so, they can offer products or services at lower prices, attracting more customers and increasing market share.
In summary, a cost leadership strategy describes an approach where a company aims to achieve a competitive advantage by offering the same or better value at a lower cost than its competitors.
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what is the acceleration of a softball if it has a mass of 0.50kg and hits the catcher’s glove with a force of 25 N
Answers
Answer:
mass=0.50kg
force=25N
acceleration =?
Now,
force=m×a
25=0.50×a
25÷0.50=a
50=a
acceleration =50m/s^2 answer!!!!
hope this may help you!!!!
Answer:
The answer is 50 m/s squared.
Explanation:
A=M/F
A= 25 Newtons
------------------ (DIVIDED BY)
0.5 Kilograms
A= 50 m/s squared
5. If you launch a ball, moving horizontally at a speed of 1.12 m/s from a table that is 0.77
Im tall, how far out from the table will the launched ball land?
Answers
The distance of the ball that would land which was launched horizontally at a speed (s) of 1.12 m/s from a table that is 0.77 m tall (d) will land is 0.44m
Consider the ball moving horizontally off the table. When it moves, gravitational force acts on it pulling the ball downwards. In addition to that objects that are falling down would accelerate quickly i.e., let’s take an object falling at the speed of x, after time t it would travel at 2x, after 2t it would be 4x.
We need to find time to calculate distance by using speed equation.
For calculating time, let’s use the freefall formula,
d = 1/2 gt²
t = √(2d) / g
t = √2 (0.77)/ 9.8
t = 0.396 s
To calculate distance, we could use speed equation as we have both Time and Velocity
s = d / t
d = s t
d = 1.12 * 0.396
d = 0.44 m
Thus, the distance of the ball that would land is 0.44m
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The voltage across the input terminals of a transformer is 120 V. The primary has 50 loops and the secondary has 25 loops. The voltage the transformer delivers is
A) 30 V.
B) 60 V.
C) 120 V.
D) 240 V.
E) none of the above
Answers
Given that the voltage across the input terminals of a transformer is 120 V and the primary has 50 loops and the secondary has 25 loops. We have to find the voltage the transformer delivers.
The voltage across the input terminals of a transformer is given by the formula: Vp/Vs = Np/NsWhere, Vp is the voltage of the primary coilVs is the voltage of the secondary coilNp is the number of turns in the primary coilNs is the number of turns in the secondary coilOn substituting the values we get;120/Vs = 50/25120 = (50/25) VsVs = 120/2Vs = 60 V
Therefore, the voltage the transformer delivers is 60 V which is option (B)
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A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Answers
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
ocean currents are caused primarily by the gravitational attraction between the earth, moon, and sun. true or false
Answers
The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
Tides can be defined as the rise and fall of water level in water bodies such as lakes and oceans due to the gravitational force of attraction exerted by the moon on earth. The side closest to the moon creates a bulge of water known as high tide. Low tides are generally experienced when a sea level is not within the bulge.
Generally, the gravitational pull of the Moon cause visible changes on planet Earth's surface.
This ultimately implies that, the pull of the Moon's gravity causes high and low tides on planet Earth's surface.
Therefore, The statement that ocean tides are caused primarily by the gravitational attraction between the earth, moon, and sun is a true statement.
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Question Based on the following information, which of the following runners has a higher velocity? Runner A: Stride length 3.1 m; Stride rate 2.7 s −1
. Runner B: Stride length 2.3 m; Stride rate 3.5 s −1
Select one: a. There is not enough information to tell b. Runner B had a higher velocity c. Runner A and B are equal in velocity d. Runner A had a higher velocity
Answers
Based on the given information, Runner A has a higher velocity than Runner B.
Velocity is defined as the rate of change of displacement with respect to time. It can be calculated by multiplying the stride length by the stride rate.
For Runner A, the stride length is 3.1 m and the stride rate is 2.7 s^(-1). Therefore, the velocity of Runner A is 3.1 m * 2.7 s^(-1) = 8.37 m/s.
For Runner B, the stride length is 2.3 m and the stride rate is 3.5 s^(-1). Therefore, the velocity of Runner B is 2.3 m * 3.5 s^(-1) = 8.05 m/s.
Comparing the velocities, we can see that Runner A has a higher velocity (8.37 m/s) compared to Runner B (8.05 m/s). Thus, the correct answer is d. Runner A had a higher velocity.
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an amoeba is 0.305 cm away from the 0.300 cm focal length objective lens of a microscope. what is the overall magnification?
Answers
Based on the information in the question, the focal length of the objective lens that will provide a total magnification of 200x is 0.8cm.
How was the answer derived?The magnification of your microscope is simple to determine.
Simply divide the eyepiece magnification by the objective lens magnification.
The magnification of both microscope eyepieces and objectives is nearly always inscribed on the barrel (objective) or top (eyepiece) of the instrument (eyepiece).
With a total magnification of 200,
And the length is assumed to be 160.
The magnification would be divided by 10 because we used a microscope with a 10x ocular.
=> 200 ÷ 10 = 20
Also, focal length is measured in centimeters or meters; we would modify the focal length from millimeters to centimeters.
As a result, we have 160 10 = 16
The objective lens focal length formula = assumed length total magnification.
=> 16 ÷ 20 = 0.8cm.
As a result, in this instance, the right answer is "0.8cm."
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Long Answer Type Questions
1 Can you differentiate between opaque, transparent and translucent objects
2 What is reflection of light?
3. What are the conditions for a shadow to be formed?
4. Prove through an experiment that light travels in straight lines.
5. What is pinhole camera? Explain its working with the help of a diagram
6. What are the main differences between a reflected image and shadows?
Answers
(1).....opaque -object that not allow light to pass through it
we can't look through opaque objects
ex..wall
translucent... objects that all some light to pass through it
we can partially see through it
ex...coloured glass window
transparent... objects that wholly allow light to pass through it
we can clearly see through it
ex...glass of specs
(2)..the bouncing back of light from a smooth polished surface is called reflection of light
(3)/.....there must be a solid ,opaque to block light
there must be a source of light
there must be a surface to have shadow on it..
(6)...reflected images r formed by light reflection from a smooth polished surface while shadows are formed by blockage of light by an solid,opaque object...
Explanation:
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A player kicks a football from ground level with an initial velocity of 27.0 30.0 above the horizontal Find the ball's maximum height
Answers
Answer:
Given
initial velocity (u) =27.030
Force of gravidity g) =9.8
Rtc maximum height Hmix =?
\( sln \\ \ hmix = u {}^{2} \div 2g \\ 27.030 \div 2 \times 9 \\ \\ hmix = 38.025m\)
How long can a tow rope or chain be?
1. 20 feet 2. 15 feet
3. 5 feet
4. 10 feet
Answers
Answer:
"For towing, a tow chain should be of a length that keeps both vehicles within the maximum 4.5 meter distance, also tow chains an be any length 20 foot chains are often chosen"
Explanation:
- https://letstowthat.com
Also Quick note the feet of tow rope or chain varies on the situation but most longest or 20 feet.
A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The
ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?
Answers
The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:
F = ΔP / ΔT
where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.
Now, let's apply the given values to the above equation.
Final momentum (p2) = mass × final velocity (v2)
p2 = 0.15 kg × (-50 m/s)
p2 = -7.5 kg.m/s
Initial momentum (p1) = mass × initial velocity (v1)
p1 = 0.15 kg × (40 m/s)
p1 = 6 kg.m/s
Change in momentum (ΔP) = p2 - p1
ΔP = -7.5 kg.m/s - 6 kg.m/s
ΔP = -13.5 kg.m/s
Time of collision (ΔT) = 8.0 × 10³ s
Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:
F = ΔP / ΔT
F = -13.5 kg.m/s ÷ 8.0 × 10³ s
F = -1.7 × 10⁻³ N
Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
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After the collision, car 1 has a final velocity of 6m/s south. What is the final velocity of car2?
a) 35m/s north
b) 35m/s south
c) 81 m/s north
d) 81 m/s south
Answers
The tweeter in a speaker system delivers as much power at 5KHz as the woofer does at 50 Hz. Which speaker must generate a larger displacement amplitude: the tweeter, the woofer, or they are equal?
Use the equation I=1/2density*v(2pif)^2*Dm^2 = deltaPm^2/2v*density
Answers
the woofer must generate a larger displacement amplitude than the tweeter in a speaker.
We can set the input powers equal by saying I tweeter = I woofer if the tweeter in a speaker produces the same amount of power at 5 KHz as the woofer does at 50 Hz. When we enter the values, we obtain:
(2 * pi * 5 * 103) * 1/2 * density * v
2 * Dm tweeter = 2 * pi * 50 * density * v * half
Dm woofer, 2 *
By dividing the two sides by the following formula:
(2 * pi * 5 * 10^3)
(2 * pi * 50)*(2 * Dm tweeter)*(2 * Dm woofer)
When both sides are squared:
Dm tweeter = 2 * pi * 50 * Dm woofer = 2 * pi * 5 * 103
If we multiply both sides by 2 * pi, we obtain:
50 * Dm woofer = 5 * 103 * Dm tweeter
When we divide both sides by 5 * 103, we obtain:
Dm woofer / 100 = Dm tweeter
In order to do this, the woofer needs to provide more displacement amplitude than the tweeter.
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What is the momentum of an 8-kg bowling ball rolling at 2 m/s? Make sure to
include units.
Plz help ASAP
Answers
Answer:
The answer is 16 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 8 × 2
We have the final answer as
16 kg.m/sHope this helps you
8. Identify the color process (RGB or CMYK) used in each step. taking a photograph with a digital camera the image appears on a computer monitor printing the image using a laser printer d. seeing the image on the paper with your eyes C. a. b.
Answers
The fundamental distinction is that RGB is used for electronic displays (cameras and monitors), whereas CMYK is used for printing. Many clients generate or alter their print-ready designs with design apps that employ the RGB colour mode.
What is the role of RGB in photography?It refers to the use of red, blue, and green LEDs in diverse combinations to generate varied light colours. RGB LEDs can intelligently alter colour saturation and hue immediately at the source, ensuring correct colour balance between LED lights, cameras, and existing or ambient light for natural-looking results.
The four ink plates used in certain colour printing are referred to as CMYK: cyan, magenta, yellow, and key (black). The CMYK model masks colours partially or completely.
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the earth's orbit is oval in shape.Explain how magnitude of the gravitational force betweenthe earth and the sun
Answers
The shape of the Earth's orbit around the Sun is not a perfect circle, but rather an ellipse or oval shape. This means that the distance between the Earth and the Sun varies throughout the year.
When the Earth is closest to the Sun, it is at a point in its orbit called perihelion, while when it is farthest from the Sun, it is at a point called aphelion. The magnitude of the gravitational force between the Earth and the Sun is directly related to their distance from each other. When the Earth is at perihelion, it is closer to the Sun and therefore experiences a stronger gravitational force than when it is at aphelion. This means that the Earth moves faster when it is at perihelion and slower when it is at aphelion. The force of gravity between two objects depends on their masses and the distance between them. Since the mass of the Earth is much smaller than the mass of the Sun, the gravitational force that the Sun exerts on the Earth is much greater than the force that the Earth exerts on the Sun. This force keeps the Earth in its elliptical orbit around the Sun. In summary, the oval shape of the Earth's orbit around the Sun affects the distance between the two objects, which in turn affects the magnitude of the gravitational force between them. This force is what keeps the Earth in its orbit around the Sun.
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A child has an ear canal that is 1. 3 cm long. at what sound frequencies in the audible range will the child have increased hearing sensitivity?
Answers
A child has an ear canal that is 1. 3 cm long. Sound frequencies in the audible range for the child to have increased hearing sensitivity is 6600 Hz to 19,800 Hz
The shape of the human ear is similar to a pipe that has a closed end and other end is open. Hence,
λ = 4L where L is the length of child's ear
Wavelength, λ = 4 × Length of the ear of the child
λ = 4 × 0.013m
λ = 0.052m
Frequency is the no. of oscillations per unit time.
The frequency of the sound, ν = c/λ
where c is the speed of sound i.e. 343 m/s
λ is the wavelength of sound
The child's audible range is equal to
ν = 343/0.052
ν = 6600Hz
We can also say that, ν is 13200 Hz or 19,800 Hz.
In general, the audible range of frequency for human ear is 20Hz to 20,000Hz.
Hence, sound frequencies in the audible range will the child have increased hearing sensitivity is 6600Hz to 19800 Hz.
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Can someone help me with this please :(
Answers
Answer:
it should be iii) Upthrust exerted on P is more than the upthrust exerted on Q
when the core of a star reaches a temperature of about 100 million degrees (k), something new happens in the core. what is this new event?
Answers
When the core of a star reaches a temperature of about 100 million degrees (k), the new event named triple-alpha process happens where the helium will begin to fuse into carbon.
What is triple alpha process?The triple-alpha mechanism, which turns three helium nuclei into one carbon atom, will start to fuse helium into carbon when the temperature in the core reaches roughly 100 million degrees. There is a lot of heat produced by this.
The triple-alpha process is unusually sensitive to temperature; when the reaction's temperature is doubled, it proceeds nearly a trillion times faster! Therefore, while the fusing helium heats the core, which cannot expand to cool down, the increasing temperature prompts the helium fusion to abruptly proceed millions of times faster, which very quickly heats the core even more, which in turn prompts the helium to fuse way, way faster.
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A pumpkin is shot straight up into the air via a pumpkin launcher. It travels 400 feet before it reaches its maximum height.
a. Calculate the initial velocity of the pumpkin.
b. What is the total time that the pumpkin is in the air?
Answers
a. The initial velocity of the pumpkin is approximately 63.44 feet per second. b. The total time that the pumpkin is in the air is approximately 8 seconds.
a. To calculate the initial velocity of the pumpkin, we can use the kinematic equation for projectile motion:
s = ut + (1/2)gt^2
Where:
s = distance traveled (400 feet)
u = initial velocity (unknown)
t = time of flight (unknown)
acceleration due to gravity (g) = 32.2 ft/s^2)
Equation to solve for u:
u = (s - (1/2)gt^2) / t
Substituting the given values, we have:
u = (400 ft - (1/2)(32.2 ft/s^2)(8 s)^2) / 8 s
u ≈ 63.44 ft/s
b. The total time that the pumpkin is in the air can be determined using the equation:
t = 2u / g
Substituting the values, we get:
t = 2(63.44 ft/s) / (32.2 ft/s^2)
t ≈ 8 s
a. The initial velocity of the pumpkin is approximately 63.44 feet per second.
b. The total time that the pumpkin is in the air is approximately 8 seconds.
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Why might the Earth's inner core have stopped and perhaps reversed course?
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The Earth's inner core is thought to have stopped and perhaps reversed its rotation due to complex interactions between the inner and outer cores. The Earth's inner core is solid and surrounded by a liquid outer core.
What is the reason behind inner core's change in rotation?The exact reason for the inner core's change in rotation is not yet fully understood, but some scientists believe it could be related to changes in the Earth's magnetic field or variations in the flow of the liquid outer core.
What is the significance of inner core rotation?Some scientists believe that the inner core's rotation may play a role in the evolution of the Earth's magnetic field and the stability of the Earth's core.
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please explain the topic motion
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simplified explainatiom:
Motion refers to the movement of an object from one place to another. There are different types of motion, such as moving in a straight line, moving in a circle, or moving back and forth.
To study motion, we use different measurements like how far an object moves (displacement), how fast it moves (velocity), how quickly it speeds up or slows down (acceleration), and what forces are acting on it.
The laws of motion are rules that explain how objects move. They say that an object will keep moving at the same speed and direction unless something stops it, and that the harder you push on an object, the more it will move.
Understanding motion is important for designing things like cars, planes, and buildings, and for playing sports.
explaination:
Motion refers to the change in position of an object with respect to its surroundings over time. It is a fundamental concept in physics and is studied extensively in mechanics, which is a branch of physics that deals with the motion of objects and the forces that cause them to move.
There are different types of motion, such as linear motion, circular motion, and oscillatory motion. Linear motion refers to the motion of an object in a straight line, while circular motion refers to the motion of an object along a circular path. Oscillatory motion refers to the motion of an object that moves back and forth around a fixed point.
The study of motion involves the use of various physical quantities, such as displacement, velocity, acceleration, and force. Displacement refers to the change in position of an object, while velocity refers to the rate at which an object changes its position. Acceleration refers to the rate at which an object changes its velocity, while force refers to the influence that causes an object to move or change its motion.
The laws of motion, which were first formulated by Sir Isaac Newton, are fundamental principles that govern the behavior of objects in motion. These laws state that an object in motion will remain in motion with a constant velocity unless acted upon by an external force, and that the force acting on an object is equal to the product of its mass and acceleration.
Motion has many applications in everyday life, such as in transportation, sports, and engineering. Understanding the principles of motion is essential for the design and operation of machines, vehicles, and structures.