The minimum time required for a recording to be able to reproduce the low-frequency components that an elephant can hear is 6.58 seconds.
It is calculated by the formula t = 1/(2f), where f is the frequency of the lowest frequency component. Substituting the given values, we find that
t = 1/(20.152 Hz) = 6.58 seconds.This means that the recording must be at least 6.58 seconds long in order to reproduce the low-frequency components that an elephant can hear.
The sampling frequency of 94,066 Hz is much higher than the frequency of the lowest frequency component that an elephant can hear (0.152 Hz), so there is no need to worry about the sampling frequency affecting the ability to reproduce these low-frequency components.
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true or false: we can determine if a star is moving toward or away from earth by measuring its brightness.
We can determine if a star is moving toward or away from earth by measuring its brightness.
The correct answer would be:
[tex]\fbox{False}[/tex]
A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2. What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2 . What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
–1.6 × 103 N
–1.63 × 103 N
–2.4 × 103 N
–5.27 × 104 N
The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N
How do I determine the gravitational force?The gravitaional force between two objects can be obtained by using the following formula:
F = GM₁M₂ / r²
Where
F is the gravitaional force G is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartThe following data were obtained from he question:
Mass of satellite (M₁) = 5400 = 5.4×10³ KgHeight (h) = 30000 km = 30000 × 1000 = 30000000 mMass of Earth (M₂) = 6.0×10²⁴ KgRadius of Earth (R) = 6400 km = 6400 × 1000 = 6400000 mDistance apart (r) = R + h = 6400000 + 30000000 = 36400000 mGravitational constant (G) = 6.673×10¯¹¹ Nm²/Kg²Gravitational force (F) =?The gravitaional force can be obtained as shown below:
F = GM₁M₂ / r²
F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²
F = 1.63×10³ N
Thus, the gravitational force is 1.63×10³ N
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collin was thrown from his horse while riding and subsequently received a blow to the back of his head. what might collin have trouble with?
After thrown from his horse, Collin might have trouble with his occipital lobe.
The occipital lobe is one of the four significant lobe of the cerebral cortex in the mind of warm blooded creatures. The name gets from its situation at the rear of the head, from the Latin ob, "behind", and caput, "head".
The occipital lobe is the visual handling focus of the mammalian mind containing a large portion of the physical locale of the visual cortex. The essential visual cortex is Brodmann region 17, ordinarily called V₁(visual one). Human V₁ is situated on the average side of the occipital curve inside the calcarine sulcus; the full degree of V₁ frequently go on onto the occipital shaft.
V₁ is much of the time likewise called striate cortex since it tends to be distinguished by a huge stripe of myelin, the Stria of Gennari. Outwardly determined locales outside V₁ are called extrastriate cortex. There are numerous extrastriate districts, and these are specific for various visual errands, for example, visuospatial handling, variety separation, and movement insight. Two-sided injuries of the occipital curve can prompt cortical visual deficiency.
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example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.
Answer:
Below
Explanation:
ESE = 1/2 k d^2
= 1/2 * 10 N/m * .1 m = .5 J
On an ECG machine that meets the international standard, the paper moves at ________.
a. 25 mm/second
b. 10 mm/second
c. 25 mm/minute
d. 10 cm/minute
On an ECG machine that meets the international standard, the paper moves at 25 mm/second.
what is the system's potential energy when its kinetic energy is equal to 34e ? view available hint(s)for part a what is the system's potential energy when its kinetic energy is equal to ? ka2 ka22 ka24 ka28
The energy that results from an object's location in relation to other things is known as potential energy. Potential energy is frequently connected to restorative forces like the force of gravity or a spring.
What happens when kinetic energy and potential energy are equal?The mechanical energy of an item is the total of its potential and kinetic energies. A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact.
Potential energy and kinetic energy vary primarily in that one is the energy of what can be and the other is the energy of what is. In other words, stored energy is ready to be released but potential energy is immobile.
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1) When there is friction between surfaces, energy is transferred out of a system as ________
energy.
Answer:
heat energy
Explanation:
heat energy
Which has more momentum: a 30 of mass that is stationary or a 0.30 kg mass moving at 1.0 m/s?
Answer:
.30 kg mass moving at 1.0 m/s
Explanation:
Well if the 30 mass isn't moving, then that isn't momentum. But if the .30 kg of mass if moving, then that would be momentum. So the correct answer is .30 kg of mass
Answer:
a 0.30 kg mass moving at 1.0 m/s
Explanation:
p = mv
Momentum is the product of mass and velocity. Since a stationary object has velocity=0, it has momentum=0*mass=0
An object with positive mass and nonzero velocity will always have positive momentum, so we could stop here.
An object with m=0.3kg and v=1m/s has
p = mv = 0.3kg * 1m/s = 0.3kg*m/s
which is more than 0.
one force of 6.2 newtons and one force of 4.4 newtons act on a body at the same point so that the resultant force is 9.1 newtons. find the angle between the resultant and the larger force, to the nearest 10th of a degree.
The angle between the resultant and the larger force is 60 degree if resultant force value is value 9.1Newtons.
We know that resultant force is given by the superposition principle which uses a formula
Resultant force =√((F₁)² + (F₂)² + 2 ˣ F₁ ˣ F₂ ˣ cosθ)
Superposition principle of electric force to find the resultant power, all accuses are thought about independently of that specific charge as though any remaining charges are missing. Along these lines, for each charge, the power on that specific charge is to be found out. Then the vector amount of the multitude of forces gives the resultant forces on that charge.
We have resultant force as 9.1Newton,F₁=6.2newton,F₂=4.4 newton
So,on putting the values,we get
=>(9.1) = √[(6.2)² + (4.4)² + 2 × 6.2×4.4×cosθ]
Squaring on both sides,we get
=>9.1 × 9.1 =(6.2)² + (4.4)² + 2× 6.2×4.4×cosθ
=>82.81=38.44 + 19.36 + 54.56×cosθ
=>82.81=57.8+ 54.56×cosθ
=>82.81-57.8= 54.56×cosθ
=>25.01=54.56×cosθ
=>cosθ=25.01/54.56
=>cosθ = 0.458
=>cosθ=cos(62.5)°
=>θ=62.5°
=>θ=60°(nearest 10th)
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A motorcycle initially travelling at 15.0 m/s comes to rest in 5.0 s. What is its deceleration and how
far does it travel during deceleration?
The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
To find the deceleration of the motorcycle, we can use the formula:
deceleration = (final velocity - initial velocity) / time
Plugging in the given values, we get:
deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2
To find the distance the motorcycle travels during deceleration, we can use the formula:
distance = (initial velocity * time) + (1/2 * deceleration * time^2)
Plugging in the given values, we get:
distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m
So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
building a dam to produce hydro-electric power and create water storage is one way to take advantage of a common renewable resource. this produces much less pollution than a coal burning plant. water being let out of the dam also produces a lot of kinetic (movement) energy. however, building dams are not a perfect solution. what is the most likely problem related to dams?
Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.
What kind of electricity does a dam generate when it transforms the force of the water into electrical energy?In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.
How do dams generate electricity, or more specifically, how do they transform the energy of moving water into AC power?Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.
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What is the correct answer for this question?
Answer:
Which is correct? "The answer to this question.." or "The answer of this question "?
1
what is the primary driver of creating wind on the surface of the earth? select one: a. earth's magnetic field b. uneven heating of earth's surface by the sun c. ocean currents d. the moons gravitational pull on the earth
B. uneven heating of earth's surface by the sun. The primary driver of creating wind on the surface of the earth is the uneven heating of earth's surface by the sun.
What principal force propels air across the Earth's surface?Wind is the term for the flow of air through any planet's atmosphere. On Earth, winds are mostly brought on by the sun's uneven heating. Because of these variations in temperature, winds blow from places with high atmospheric pressure to areas with low atmospheric pressure.
What is the main force behind the ocean's surface current?Ocean currents, which are fueled by friction between the water and the wind that blows over its surface, are one of the many factors that accelerate the ocean's perpetual motion. Although the wind is the main reason for surface currents, other factors also affect how the ocean's waters travel.
The most notable of these is the Coriolis effect, which is caused by the Earth's rotation diverting currents off their intended course. The rotation of the Earth causes currents to be redirected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
The gyres in the two hemispheres consequently flow in opposing directions.
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a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?
According to the given statement 11303.5 kg is the weight of the truck.
What does physics' Archimedes principle entail?The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.
Briefing:The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.
B = ρ g V
It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.
Σ F = 0
B-W = 0
B = W
body weight
W = M g
the volume is
V = l to h
(l to h) = M g
M = l a h
we calculate
M = F = 1000 . 10. (4.70 x 6.50 x 0.037) = 11303.5 N
M = 11303.5 kg
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(a) what is the magnitude of the tangential acceleration of a bug on the rim of an 11.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 79.0 rev/min in 3.50 s?
The magnitude of the tangential acceleration is 0.329m/s².
The degree of tangential acceleration can be calculated in what way?At=r a t = r is the formula for tangential acceleration, where r is the circle's radius and is the angular acceleration. The definition is derived from the fact that the arc length is equal to the circle's radius times the angle in radians.
d = Diameter of rim = 11.0 in = 11 × 0.0254 = 0.2794m
r = Radius = d/2 = 0.2794/2 = 0.1397m
[tex]\omega_{f}[/tex] = Final angular velocity = 79 × 2π/60 = 8.26rad/s
[tex]\omega_{i}[/tex] = Initial angular velocity = 0
∝ = Angular acceleration
t = Time taken = 3.5s
Rotational motion equation,
[tex]\omega_{f}[/tex] = [tex]\omega_{i}[/tex] + ∝t
∝ = [tex]\omega_{f}[/tex] - [tex]\omega_{i}[/tex]/t
∝ = 8.26 - 0/3.5
∝ = 2.36 rad/s²
Magnitude of the tangential acceleration given by
[tex]a_{t}[/tex] = r∝
[tex]a_{t}[/tex] = 2.36 × 0.1397
[tex]a_{t}[/tex] = 0.329m/s².
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Two aircraft p and q are flying at the ame peed,300 m the direction along which p i flying i at right angle to the direction along which p i flying ,find the direction of velocity
The magnitude of the velocity of the aircraft P relative to aircraft Q is zero
The velocity of the two aircraft given is
P & Q, v = 300 m/s
The angle of the direction between P&Q is
Ф = 90°
The magnitude of the velocity of aircraft P relative to aircraft Q is given by the formula which is as follows:
V = v cos Ф
Substituting the values in the above equation
v = 300 x cos 90°
= 300 x 0
= 0
Since the aircraft are at right angles, the velocity of one aircraft relative to the other would be equal to zero.
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9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?
When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated = 5.32 *10^-7 m.
What is index of refraction?The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.
Given, t= 100nm= 100 * 10 ^-9 n= 1.33
ΔФ1 = λ/4
ΔФ2 = 2√2 t λ n/2 λ
=2 t n
=2 * 100 * 10 ^-9 * 1.33
= 2.66 *10^-7
2.66 *10^-7= λ/2
λ= 5.32 *10^-7 m.
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tarzan has a mass of 73 kg. he swings from a 26.1 m vine. at the lowest point in his swing, tarzan is moving at 3.65 m/s. what is the tension in the vine at the lowest point in the swing? g
Tarzan weighs 73 kg. From a 26.1 m vine, he swings. Tarzan is travelling at 3.65 m/s when he is at his lowest point in his swing. The vine is under 2635.3 kg-m/s^2 of tension at the swing's lowest point.
The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire. Every physical object in contact with another one applies some force to that object. For items that are hung, the tension is equal to the gravitational acceleration times the mass of the object.
Here m=73kg
acc (a) = 26.1 m
g=10
d= 3.65 m/s
Tension t = mg + ma.
Tension t = m(g + a).
t = m(g + a)
t= 73(10+26.1)
t= 73(36.1)
t= 2635.3 kg-m/s^2
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-. The magnitude of vector A is 18.5 Vector lies in the fourth
quadrant and forms an angle of 55° with the x-axis. What are
the components of vector A?
(+ , -)
- sin(55)=y/18.5 -> 18.5sin(55)=y
- cos(55)=x/18.5 -> 18.5cos(55)=x
How can you determine a vector's direction given its magnitude?The magnitude will be given by |v|=a2+b2 if v=a,b is indeed the coordinates.In accordance with the application the direction usually equal to the angle made with the x-axis or the y-axis.The formula tan=(ba)=tan1(ba) can be used to determine the direction of a position vector, as shown in Figure 8.8.
How do you calculate that magnitude of a four-part vector?Any number of dimensions can be included in the generalization of the vector magnitude formula.For instance, the formula for the magnitude of a four-dimensional vector a=(a1,a2,a3,a4) is a=a21+a22+a23+a24.
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Which type of eclipse makes the Sun appear in the form of a ring?
A.
total solar eclipse
B.
partial solar eclipse
C.
annular solar eclipse
D.
partial lunar eclipse
E.
total lunar eclipse
Answer: D. Annular Solar Eclipse
Explanation:
An annular solar eclipse happens when the Moon passes between the Sun and Earth, but when it is at or near its farthest point from Earth. Because the Moon is farther away from Earth, it appears smaller than the Sun and does not completely cover the Sun.
FILL IN THE BLANKS
12) When two objects interact through the gravitational force between them, the more massive one has a lower __acceleration_________ than the less massive object.
Answer: Acceleration
Explanation:
When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.
3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.
The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m
How do I determine the distance ?We'll begin by obtaining the acceleration of the box. Details below:
Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?Net force = mass × acceleration
40 = 10 × acceleration
Divide both sides by 10
Acceleration = 40 / 10
Acceleration = 4 m/s²
Finally, we shall determine the distance. Details below
Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?v² = u² + 2as
5² = 0² + (2 × 4 × s)
25 = 0 + 8s
25 = 8s
Divide both side by 8
s = 25 / 8
s = 3.125 m
Thus, we can conclude that the distance covered is 3.125 m
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Newton's third law states that any action will have a(n) _______ and ______ reaction.
Newton's third law states that any action will have a(n) equal and opposite reaction.
Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?
The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m
How do I determine the height of the cliff?To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:
Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?s = ut
20 = 5 × t
Divide both sides by 5
t = 20 / 5
t = 4 s
Finally, we shall determine the height of the cliff. Details below:
Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?h = ½gt²
h = ½ × 9.8 × 4²
h = 4.9 × 16
h = 78.4 m
Thus, the height of the cliff is 78.4 m
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what is the formula to find the volume of a sphere
A car advertisement states that a certain car can accelerate from rest to 30 m/s in 5 seconds. Find the car’s average acceleration. (Prefered if using KWEPA method!)
The car’s average acceleration is 6 meter/second^2.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given that: the car can accelerate from rest to 30 m/s in 5 seconds.
Hence, average acceleration of the car = change in speed/time interval
= ( final speed - initial speed)/time interval
= ( 30 m/s - 0 m/s) / 5 second
= (30/5) meter/second^2
= 6 meter/second^2.
Hence, the average acceleration of the car is 6 meter/second^2.
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what was the value of the scale factor a when the dark energy density became equal to the matter density? show your work, please.
The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.
What's density in science?Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.
How does density work?How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.
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what is the change in internal energy of a system that takes in 4.23 106 j of heat, and does 4.50 105 j of work while dissipating 9.07 106 j of heat?
The change in internal energy of a system is - 5290×10⁴J.
What do you mean by internal energy?Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.
Heat transfer into the system Q₁ = 4.23×10⁶J
Heat transfer out of the system Q₂ = 9.07× 10⁶J
Work done W = 4.50×10⁵J
The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.
Q = Q₁ - Q₂
Q = 4.23×10⁶ - 9.07× 10⁶
Q = -4.84× 10⁶J
The first law of thermodynamics provides the following formula for the change in internal energy:
ΔU = Q - W
ΔU = -4.84× 10⁶ - 4.50×10⁵
ΔU = - 5290×10⁴J.
A negative sign indicates a decrease in internal energy.
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Earth has a very strong gravitational force that can pull the objects to fall to the Earth's surface. How do satellites overcome this problem and stay in its orbit?
the sun has a mass of 2.0 x 1030 kg and radiates energy at the rate of 3.9 x 1026 w. (a) at what rate does the sun transfer its mass to other forms of energy? (b) what fraction of its original mass has the sun lost in this way since it began to burn hydrogen, about 4.5 x 109 y ago?
The rate at which sun transfers its mass to other forms of energy is 4.3* 10⁹ kg/s.
The fraction of its original mass has the sun lost in this way since it began to burn hydrogen, about 4.5 x 109 y ago is 3.1 * 10⁻⁴.
Given that,
Mass of the sun = 2* 10³⁰ kg
Radiation power P = 3.9* 10²⁶ W
The rate of changing mass is P = E/t = (m*c²)/t
Re-arranging the terms, we have,
m/t = P/c² = (3.9* 10²⁶)/(3* 10⁸)² = 4.3* 10⁹ kg/s
Fraction of original mass lost is Δm = m/t * t = (4.3* 10⁹)* (4.5* 10⁹)
⇒ 6.15 * 10²⁶ kg
Fraction of mass lost = Δm/(m + Δm) = (6.15 * 10²⁶)/(2* 10³⁰ + 6.15 * 10²⁶)
⇒ 3.1 * 10⁻⁴
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