You're in a boat with a big rock, in a swimming pool. You toss the rock overboard. Level of water will increase as of the mass of big rock to the level of the water in the pool.
The buoyancy of any floating object partially or totally submerged in a fluid can be computed thanks to Archimedes' principle. The weight of the thing alone exerts a downward mass on it. The upward or buoyant force acting on the object is what is meant by the aforementioned Archimedes' principle. The difference between the buoyant force and the object's weight is therefore the net force acting on it. In the event that this net force is positive, the item will rise; in the event that it is negative, the object will sink; and in the event that it is zero, the object will be neutrally buoyant, remaining stationary. Simply said, when a body is partially or entirely submerged in a fluid, the Archimedes' principle applies. Consider a cuboid submerged in a fluid, with its top and bottom facing in the direction of gravity, which is considered to be constant throughout the length of the cube. Each face of the fluid will experience a normal force, but only the normal forces on the top and bottom will result in buoyancy. The height directly affects the pressure difference between the top and bottom faces (difference in depth of submersion). A net force on the cuboid is created by multiplying the pressure difference by the area of a face.
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you're explaining to a youngster at the seashore why the water is cyan colored. the youngster points to the white-caps of overturning waves and asks why they are white. what is your answer?
Water droplets of various sizes can be seen on white wave caps. These droplets disperse variously frequency photons. A type of wave whose value only varies in one spatial direction is referred to as a plane wave.
In other words, its value remains unchanged on a plane oriented perpendicular to that direction. A vector of unit length that indicates the direction in which the wave varies can be used to describe plane waves. The frequency of an event is its repetitions per unit of time. As a contrast to spatial frequency, it is also sometimes referred to as temporal frequency, and as a contrast to angular frequency, it is sometimes referred to as ordinary frequency. The hertz unit is used to measure frequency (Hz).
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You throw a rock downward into water with a speed of 3mg/k, where k is the coefficient in Eq. f=k vf=kv. Assume that the relationship between fluid resistance and speed is as given in Eq. f=k vf=kv, and calculate the speed of the rock as a function of time.
The speed of the rock as a function of time is that is v(0) as the speed of the rock as a function of time.
{Newton's Second Law}}According to Newton's Second Law, the net force acting on a body is - mg-kv −mg+kv=−ma⇒mDV =mg−kv
Integrate (1) to get -k1 ∫mg-kv−kdv =m 1 ∫ger
-k 1 [ln(mg−kv)]=meters
t+c.
ln(mg−kv)= meters−kt−kC.
mg−kv=exp(−c/k)exp(−kt/m)
kv=mg−C exp(−kt/m)
v=k mg-C1exp(−kt/m)
Use the initial conditions to get \dfrac{3mg}{k}=\dfrac{mg-C}=-2mg}k3mgmg-C⇒C. = -2mg
The final form of (6) is
v=\dfrac{mg+2mg\exp(-kt/m)}{k}
v=kmg+2mgexp(−kt/m).
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In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after, are shown. The collision is A) completely inelastic. B) perfectly elastic. C) characterized by an increase in kinetic energy. D) not possible because momentum is not conserved.
The collision shown in the figure is A) completely inelastic.
What is velocity?Velocity is a physical quantity that expresses the rate and direction of a moving object. It is the speed of an object in a particular direction. It is a vector quantity that is measured in meters per second (m/s). Velocity can also be described as the rate of change of an object's position with respect to time. It is an important concept in physics and is used to calculate the motion of objects.
This is because the kinetic energy of the system is not conserved, as the velocities of the blocks after the collision are lower than before. The masses of the blocks are not relevant, as the collision is completely inelastic regardless of their mass. Therefore, the collision is characterized by a decrease in kinetic energy and is not possible if momentum is to be conserved.
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A 1750 kg car increases its speed by 3. 5 m/s2 for each second of travel. What is the net force acting on the car?.
The net force acting on the car is equal to 6125 N.
What is force?Force acting on a body can be defined as the effect or influence that changes the body's state of motion or rest. The S.I. unit of measurement of the force is Newton and it is a vector quantity. Force exerted on an object can change the speed and direction of the moving object.
The force exerted on an object can be evaluated from the product of the mass (m) with the acceleration (a) of an object. The equation of the second law of motion for force can be used to calculate force:
F = ma
Given, the mass of the car, m = 1750 Kg
The acceleration of the car for each second of travel, a = 3.5 m/s²
The net force acting on the car can be determined as:
F = ma = 1750 × 3.5 = 6125 N
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A crazy bus driver launches the bus out of the parking lot with an amazing acceleration of 1.5 m/s^2. He goes an incredible distance of 85 m before reaching the bus's maximum speed. How fast is the bus going after reaching top
speed?
1) 11 m/s
2) 16 m/s
3) 130 m/s
4) 255 m/s
5) Answer not shown
The final speed of the bus after reaching the top is equal to 16 m/s. Therefore, option (2) is correct.
What is the equation of motion?Equations of motion can be utilized to define the concept of the motion of a body such as the velocity, time, position, and acceleration of a body several times.
The three equations of motion can be shown as follows:
[tex]v = u + at\\S = ut +(1/2) at^2\\v^2-u^2= 2aS[/tex]
Given, the initial speed of the bus, u = 0m/s
The distance covered by the bus, S = 85 m
The acceleration in the bus, a = 1.5 m/s²
We can determine the final velocity of the bus from the third equation of motion:
v² - u² = 2aS
v² -0 = 2 ×1.5 × 85
v² = 255
v = 15.97 ≈ 16 m/s
Therefore, the final speed of the bus is 16 m/s.
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the five identical bulbs in the following figure are all glowing. the battery is ideal.(figure 1). What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal.P = S = T > Q = RP > S = T > Q = RP > Q = R > S = TP = S > Q = R = T
If the five identical bulbs shown in the figure are glowing and the battery provided is ideal then the order of brightness of the bulbs from brightest to dimmest is P > S = T > Q = R.
The energy is dissipated when the current flows through a resistor. The rate of the dissipated energy is the power. It is given as=
= P = ΔV(R) / R
The bulbs are identical, so the resistance will be the same. Calculating the voltage for each bulb. The combination ST is in parallel with the other branch. So, the voltage across the right branch and the middle branch is the same ∈.
For the right branch, the voltage is divided by the two resistors i.e S and T, so the voltage is =
= ΔV(S) = ΔV(T) = ∈/2
Since voltage is same, they will have same brightness.
For the middle branch, the total voltage is ∈, but the combination QR has resistance less than bulb P. So, the bulb P has larger voltage than combination QR. Hence, the voltage of P = 2∈/3 while the combination QR has the voltage of ∈/3.
Thus,
ΔV(P) > ΔV(S) = ΔV(T) > ΔV(Q) = ΔV(R)
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large stars can explode as they finish burning their nuclear fuel, causing a supernova. the explosion blows away the outer layers of the star. according to newton’s third law, the forces that push the outer layers away have reaction forces that are inwardly directed on the core of the star. these forces compress the core and can cause the core to undergo a gravitational collapse. the gravitational forces keep pulling all the matter together tighter and tighter, crushing atoms out of existence. under these extreme conditions, a proton and an electron can be squeezed together to form a neutron. if the collapse is halted when the neutrons all come into contact with each other, the result is an object called a neutron star, an entire star consisting of solid nuclear matter. many neutron stars rotate about their axis with a period of ≈1s and, as they do so, send out a pulse of electromagnetic waves once a second. these stars were discovered in the 1960s and are called pulsars. A. Consider a neutron star with a mass equal to the sun, a radius of 19 km, and a rotation period of 1.0 s. What is the speed of a point on the equator of the star? B. What is g at the surface of this neutron star?
The acceleration caused by gravity is 1.2 x 1012 m/s2, while the speed of the star is 6.3 x 104 m/s.
(a) Assuming the star's radius (R) is 19 km, = 19 x 10^3 meters
Rotation Duration (T) = 1 s
The star's mass (m) is 1.98 x 10^30 kg.
The star's velocity is determined by (v) = 2πr/T, where
v = 2x3.14x19x 10^3/1 = 11.93 x10^4 m/s.
Consequently, the star's speed is 11.93 x 10^4 m/s
(b) We are aware that the gravitational acceleration can be calculated as follows:
g = Gm/r^2, where G is the gravitational constant and equals
6.67 * 10^11 x1.98 x 10^30/ (19 x 10^3)^2
g = 3.65x10^33 m/s2.
Gravitational acceleration is therefore equal to 3.65x10^33 m/s2.
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a pickup truck (2268 kg) and a compact car (1100 kg) have the same momentum. (a) what is the ratio of their kinetic energies? (b) if the same horizontal net force were exerted on both vehicles, pushing them from rest over the sa
A pickup truck (2268 kg) and a compact car (1100 kg) have the same momentum. The ratio of their kinetic energies (truck to car) is 0.485
The formulas for the momentum and the kinetic energy are:
p = m . v
Ek = 1/2 . mv²
Where:
p = momentum
m = mass
Ek = kinetic energy
v = speed or velocity
Ek = 1/2 . mv² = 1/2 . mv . v
= 1/2 . p . v
Since p or momentum of both vehicles are the same, hence, the ratio of their kinetic energies is
Ek_truck : Ek_car = v_truck : v_car
In the given problem:
m_truck = 2268 kg
m_car = 1100 kg
Both have the same momentum, hence,
m_truck x v_truck = m_car x v_car
v_truck / v_car = m_car / m_truck
= 1100 / 2268 = 0.485
Therefore,
Ek_truck / Ek_car = v_truck / v_car = 0.485
Your question is incomplete, but most probably your question was:
A pickup truck (2268 kg) and a compact car (1100 kg) have the same momentum. If the same horizontal net force were exerted on both vehicles, pushing them from rest over the same distance, what is the ratio of their final kinetic energies? (ratio: truck to car)
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A solid 66 kg cylinder has a radius of 0.10 m. What minimum work is required to get the cylinder rolling without slipping at a rotational speed of 20 s−1?
198J minimum work is required to get the cylinder rolling without slipping at a rotational speed of 20 s−1
Work corresponds to a change in energy. So, the work required to make this cylinder roll is equal to its final kinetic energy minus its initial kinetic energy.
W=Kf−Ki
We can assume that this cylinder begins from rest, in which case Ki=0.
W=Kf
What is this cylinder's new kinetic energy? If an object is rolling, it is undergoing both rotational and translational motion. So, the cylinder's kinetic energy is equal to its translational kinetic energy plus rotational kinetic energy.
W=1/2mv2+1/2Iω²
We have values for the cylinder's mass and its rotational speed. What about its translational speed? We can use the conversion formula
v=rω and substitute this into our equation.
W=1/2m(rω)²+1/2Iω²
W=1/2mr²ω²+1/2Iω²
What about the moment of inertia? We can look up in a table that a cylinder has moment of inertia 1/2mr². Plugging this in, our equation becomes:
W=1/2mr²ω²+1/2(1/2mr²)ω²
W=1/2mr²ω²+1/4mr²ω²
W=3/4mr²ω²
Now, let's plug in values for all these variables and get our answer.
W=34(66)(0.1)2(20)2
W=198J
A solid 66 kg cylinder has a radius of 0.10 m. What minimum work is required to get the cylinder rolling without slipping at a rotational speed of 20 s−1?
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when the terminal side of an angle in standard position lies along one of the axes, it is called
When a terminal side of an angle in a standard position lies along one of the axes, it is called a quadrantal angle.
If an angle's vertex is at the origin and one of its rays is on the positive x-axis, it is said to be in the standard position.
The starting side refers to the ray on the x-axis, while the terminal side refers to the other ray.
The side that isn't the starting side is known as the terminal side of an angle when it is represented in an angle standard position.
Starting at (1, 0), measure the angle on the unit circle in degrees or radians to get the terminal point (move counter clockwise if the angle is positive and clockwise if the angle is negative.)
The terminal point is the coordinate of the terminus.
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briweaver9564
12/04/2019
Physics
High School
answered • expert verified
Two ropes have equal length and are stretched the same way. The speed of a pulse on rope 1 is 1.4 times the speed on rope 2. Part A Determine the ratio of the masses of the two ropes (m1m2).
the ratio of the masses of the two ropes is 0.51
Calculation :
For a rope, the speed of standing wave is given as
[tex]v = \sqrt{\frac{T}{m/L} }[/tex]
Here, as T and L is same for both the ropes
v1 = 1.4v2
as v1 /v2 = sqrt(m2/m1)
1.4 = sqrt(m2/m1)
m1/m2 = 0.51
the ratio of the masses of the two ropes is 0.51
Mass is an inherent property of an object. Mass is a standard mechanical quantity. Until the discovery of atomic physics and particle physics, it was traditionally thought to be related to the amount of matter in the physical body. are found to have different masses for the same amount of matter. Mass has several definitions in modern physics that are conceptually different but physically equivalent
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How does the shape of an object affect how it interacts with light?
The shape of an object can affect how it interacts with light in several ways.
First, the shape of an object can determine how light is reflected off of its surface. A smooth, curved surface will reflect light in a more diffuse manner, producing a soft, even reflection. A rough, uneven surface will scatter light in many different directions, producing a more irregular reflection.
Second, the shape of an object can also affect how light is absorbed by the object. An object with a highly absorbent surface will absorb more light than an object with a less absorbent surface. This is why black objects tend to absorb more light and heat than white objects, which tend to reflect more light.
Finally, the shape of an object can affect how light passes through it. An object with a transparent or translucent surface will allow light to pass through it, while an object with an opaque surface will block the passage of light. The shape of the object can also affect how light is refracted, or bent, as it passes through the object. An object with a curved surface, such as a lens, will refract light in a specific manner, while a flat surface will not.
an electric device delivers a current of 3 a to a device. how many electrons flow through this device in 7 s? ( e
1.35625x10²⁰ e. Flow through the device in a time of 7 seconds.
Electric current: It is the amount of electric charge that flows each unit of time. Electric current can also be a ratio between voltage and resistance
Electric current occurs due to the movement of electrons due to the difference in potential or voltage (from high potential to low potential) between two points
Electrons will flow through the conducting wire that functions as a conductor. Electric current itself can be divided into direct current (DC) or alternating current (AC)
Can be formulated:
[tex]I=\frac{Q}{t}-------------(1)[/tex]
Where
I define the electric current, Ampere (A)
Q is the electric charge, coulomb (C)
t is time, seconds (s)
An electric device delivers a current of 3 A within 7 s, so the charge is:
Q = I x t
Q = 3 x 7
Q = 21 C
Because 1 electron (e) has a charge of 1.60 × 10⁻¹⁹ C, the total number of electrons flowing:
= [tex]\frac{21C}{1.60*10^-19C}[/tex]
= 1.31625x10¹⁹
N= 1.35625x10²⁰ e.
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a 500.0 lb man is crossing the street when the brakes on 454.5 kg car fail and she hits the gorilla head on at 50.0 mph. if the collision is perfectly inelastic, at what speed will the car and the gorilla travel after the collision?
If the collision is perfectly inelastic, the speed of the car and the gorilla travel after the collision is 14.9m/s.
Perfectly inelastic collision, also known as completely inelastic collision is one in which the maximum amount of kinetic energy has been lost during a collision, making it the most extreme case of an inelastic collision.
From the question given
mass of gorilla man, m = 500lb - 500 * 0.4536 = 226.8kg
Initial speed of the car, u = 50mph = 50 * 0.447 = 22.35 m/s
mass of the car, M = 454.5kg
applying conservation of momentum formula :
(m + M) * V = M * u
(226.8 + 454.5) * V = 454.5 * 22.35
681.3V = 10,158.075
V = 14.9m/s
Therefore, the speed of the car and the gorilla travel after the collision is 14.9 m/s.
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maxwell developed his theory of electromagnetism by combining previous discoveries. he added his own original hypothesis that
Maxwell added his own original hypothesis that is Changing electric fields produce magnetic fields.
What is Electromagnetism?
In the process of electromagnetism, electricity is applied to a conductor to create a magnetic field. When a conductor is electrically charged, magnetic lines are created. For instance, if current, or positive charges travelling in a wire, generates the magnetic field along the wire, the Right-Hand Rule can be used to determine the direction of magnetic lines and force. See the graphic for a thorough justification.
We've seen what happens when a conductor receives an electrical charge. Now let's look at what happens when a conductor is placed between the magnet and the magnetic field.
When a conductor is placed or moved through a magnetic field, voltage or electrical current is produced. This idea is known as "electromagnetic induction."
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A 2150 kg car, moving east at 10.0 m/s, collides and joins with a 3250 kg car. The cars move east together at 5.22 m/s.
The momentum during the collision is conserved. Hence, the total initial momentum is equal to the total final momentum. Therefore, the initial velocity of the car with a mass of 3250 Kg was, 2.05 m/s.
What is momentum?Momentum of a body is the product of its mass and velocity. Momentum is a vector quantity having both magnitude and direction.
The momentum during a collision is conserved. Thus,the sum of initial momentum of the colliding bodies is equal to the final momentum of the combined mass.
Given that, mass of car 1 = 2150 Kg
velocity = 10 m/s
Momentum = mass × velocity.
= 10 m/s × 2150 Kg = 21500 kg m/s.
Mass of car 2 = 3250 kg
the combined mass = 3250 + 2150 = 5400 Kg
final velocity = 5.22 m/s
final velocity = 5400 Kg × 5.22 = 28188 kg m/s .
momentum of car 1 + momentum of car 2 = 281888 kg m/s
21500 kg m/s + (3400 Kg × V) = 281888 kg m/s
v = 2.05 m/s.
Therefore, the initial velocity of the car with a mass of 3250 Kg is 2.05 kg m/s.
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Your question is incomplete. But your complete question probably was:
A 2150 kg car, moving east at 10.0 m/s, collides and joins with a 3250 kg car. The cars move east together at 5.22 m/s. What was the initial speed of car with 3250 kg mass.
find the force needed to keep a mass m in a circular path of radius r with period t.
Answer:
Explanation: for circular motion centripetal force is involves
as we know, F= mass× acceleration
F= mv²/ r
r = radius
v = 2πr/ t
here t = time and v = velocity/ speed
as we know v= d/ t= 2πr/t
therefore F = m×(2πr/t)²/r
true or false: a compass is placed close to a stationary charge. if the charge remains stationary, the compass will not deflect, but if the charge moves, the compass will deflect.
True, if the charge remains stationary, the compass will not deflect, but if the charge moves, the compass will deflect.
Charge is the bodily assets of count number that reasons charged be counted to experience a force whilst located in an electromagnetic area. Electric powered rate can be fantastic or bad. Like expenses repel every different and not like expenses entice each other.
Charge is the physical belongings of remember that reasons it to revel in a pressure whilst positioned in an electromagnetic area. High-quality and negative electric powered prices are the two varieties of costs generally carried through rate carriers, protons and electrons. Electricity is created by way of the motion of costs.
Charges are of sorts: tremendous and terrible, typically carried by fee vendors protons and electrons. Examples of the sorts of costs are subatomic debris or the debris of depend: Protons are undoubtedly charged. Electrons are negatively charged.
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Two 1000 kg cars drive east; the first mov-
ing at 45 m/s, the second at 15 m/s.
What is the magnitude of the total momen-tum of the svstem?
Answer in units of kg • m/s.
Answer:
30000kg.m/s
Explanation:
two cars mass 1000
first moving with 45m/s
second moving with 15m/s
find the total magnitude of momentum = ?
momentum formula=mv
so,
mass is common
mass(v1 -v2)
putting the value
1000(45-15)
30000kg.m/s
the vast majority of human behavior in society is considered prosocial behavior. state of true or false
- True
- False
Yes it is true ,A broad group of actions with the intention of assisting others includes helping, sharing, providing comfort, contributing or volunteering, and cooperating.
Research on prosocial conduct has looked at the potential causes and effects of these behaviors as well as the various reasons that might be at play. Prosocial Behavior's Type 3. The factors. Actions that "benefit other people or society as a whole," such as assisting, sharing, contributing, cooperating, and volunteering, are considered prosocial conduct, also known as "voluntary behavior intended to benefit another." Evidence demonstrates that prosociality is essential to social groupings' wellbeing on a variety of measures. Empathy has significant evolutionary roots and is a powerful motivator of prosocial action. Children benefit from the development of desirable qualities fostered by prosocial activity.
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A thin 2.00 kg box rests on a 7.00 kg board that hangs over the end of a table, as shown in (Figure 1). a) How far can the center of the box be from the end of the table before the board begins to tilt?
Based on the principle of moments, the distance from the end of the table should the box be placed before the board begins to tilt is 17.5 cm.
The distance from the end of the table should the box be placed before the board begins to tilt is determined from the principle of moments as follows:
sum of clockwise moments = sum of anticlockwise moments
The block is 30 cm on the table and 20 cm outside it.
The downward force acting on the left-hand side of the box
= 3/5 x 7 = 4.2
This force acts at the center of gravity, 15 cm or 0.15 m away.
Therefore, anticlockwise moments o the left side =4.2 x 0.15 = 0.63 J
Also, the clockwise moment on the right side = Force × distance
Force = 2/5 x 7 = 2.8 N
Distance from the center of gravity = 10 cm or 0.10 m away.
the clockwise moment on the right side due to the board = 2.8 x 0.1 = 0.28.
The moment due to the box with a weight of 2kg at a distance of x meters will be:
the total clockwise moment on the right side = 0.28 + 2x.
When the board is just about to tilt:
0.63 = 0.28 + 2x
2x = 0.63 - 0.28
x = 0.175m or 17.5cm
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Owen uses a pulley system to lift a bucket. He pulls the rope with 80 newtons of force. The rope exerts 160 newtons of force on the attached bucket. The mechanical advantage of Owen’s pulley system is
The mechanical advantage of Owen’s pulley system is determined as 2.
What is mechanical advantage?Mechanical advantage is also known as force ratio, it determines the ratio of output force to input force.
It can also be expressed as the ratio of load to to effort applied in overcoming the load.
M.A = load / effort
The given parameters include;
the applied force = 80 Nthe output force or load = 160 NM.A = 160 N / 80 N
M.A = 2
Thus, the mechanical advantage of a machine is the ratio of output force to input force.
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a 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground. what is the magnitude of its momentum just before it hits the ground if there is no air resistance?
The magnitude of its momentum just before it hits the ground is 0.88kg m/s
Momentum is the product of the mass of the body and its velocity. A vector quantity that has magnitude and direction. If m is the mass of an object and v is its velocity (which is also a vector quantity), then the object's momentum p is:
p=mv
In the International System of Units (SI), the unit of measure for momentum is the kilogram meter per second (kg m/s), which is equivalent to the Newton second.(F=ma)
Final velocity:
v^2= u^2+2as
v^2=0+ 2(g) h
v= √(2gh) =√(2×9.8×2.0)
v=6.26 m/s
Momentum:
p=mv =0.14×6.26
p= 0.876= 0.88 kg m/s
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true or false: a leaf floating up and down in a pond is an example of a longitudinal wave. a. true b. false
A leaf floating up and down in a pond is an example of a longitudinal wave that is False.
Particle motion is perpendicular to energy motion. Shear waves exhibit wave polarization that longitudinal waves do not. There is a distinct peak-to-valley movement. The node remains stationary. Here you can touch standing waves with a rope without disturbing the waves.
The position on the standing wave of maximum amplitude is known as the antinode. Antinodes occur halfway between nodes. Standing waves are undesirable. Some of the energy is reflected off the ends of the line and actually travels up the line.
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a mass of sunken lead is resting against the bottom in a glass of water. you take this lead, put it in a small boat of negligible mass, and float the boat in the water.
A. The sunken lead displaces a volume of water equal to the lead's own volume.
B. The floating lead displaces a volume of water equal to the lead's own volume.
C. The sunken lead displaces a volume of water whose weight equals the lead's weight.
D. The floating lead displaces a volume of water whose weight equals the lead's weight.
When a mass of sunken lead is resting against the bottom in a glass of water, and put it in a small boat of negligible mass, then float the boat in the water; what will happen is: The floating lead displaces a volume of water whose weight equals the lead's weight, and the sunken lead displaces a volume of water equal the lead's own volume. So, the correct answers are option A and D.
This is happened because according to Archimede's Principle which states that a body immersed in a fluid experiences an upthrust equal to the weight of the fluid displaced, and this is fundamental to the equilibrium of a body floating in still water.
What is mass?Mass is the amount of matter which an object contains. The more matter something has, the more it will weigh. For example, a horse has more matter in it than a cat thus, its mass is heavier. The size of something does not determine how much matter an object has.
Mass (symbolized m) is a dimensionless quantity representing the amount of matter in a particle or object. The standard unit of mass in the International System (SI) is the kilogram (kg).
In physics, mass is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance which a body of matter offers to a change in its speed or position upon the application of a force.
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a squirrel on a limb near the top of a tree loses its grip on a nut, so that the nut slips away horizontally at a speed of 2.0 m/s. if the nut lands at a horizontal distance of 8.6 m, how high above the ground is the squirrel?
The nut slips away horizontally at a speed of 2.0 m/s. if the nut lands at a horizontal distance of 8.6 m. The squirrel is on a limb of a tree with the height of 90.6 m above the ground.
The nut experienced a projectile motion. The equation of motion can be divided into vertical and horizontal components below:
- Horizontal motion: the velocity is constant.
s = v x t
Where:
s = distance
v = velocity = speed = 2 m/s
t = time
Hence,
8.6 = 2 t
t = 8.6/2 = 4.3 s
- Vertical motion: it is a free fall motion
h = 1/2 . gt²
Where:
h = height
g = acceleration due to gravity = 9.8 m/s²
Hence,
h = 1/2 x 9.8 x 4.3²
= 90.6 m
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A wire of iron which is 3.14 m long and has a radius of 0.5 mm is connected between
the terminals of a 5 V battery. If the resistivity of the iron is 10-72.m, so the passing
electric current intensity in the wire equals..
(Take: pi=3.14)
Answer:
12.5 A
Explanation:
You want the current intensity in an iron wire 3.14 m long with a radius of 0.5 mm connected to a 5V battery, given the resistivity of iron is 10^-7 Ω·m.
ResistanceThe resistance of the wire is proportional to wire length, and inversely proportional to area:
R = ρl/A
R = (10^-7 Ω·m)(3.14 m)/(3.14·(0.5·10^-3 m)²) = (1/.25)·10^-1 Ω = 0.4 Ω
CurrentThe current is given by Ohm's law:
I = V/R
I = (5 v)/(0.4 Ω) = 12.5 A
The current intensity is 12.5 amperes.
__
Additional comment
The resistivity of iron is 1.0·10⁻⁷ Ω·m, so we presume the 10-72.m in the problem statement is an error in picture-to-text translation.
suppose that the color and behavior of a star identify it as a type that we know has absolute magnitude 4.8. if the star's apparent magnitude is found to be 14.8, how far away is it? vcu
If the star's apparent magnitude is found to be 14.8, how far away is 1000 parsecs.
calculation:-
subtract absolute from apparent to get DM:
14.8 - 4.8 = 10
divide DM by 5:
10/5 = 2
raise 10 to that power:
10^2 = 100
multiple products by 10 parsecs:
10 x 100 parsecs = 1000 parsecs
The apparent magnitude of a celestial object such as B. A star or galaxy is the brightness measured by an observer at a given distance from the object. The shorter the distance between the observer and the object, the greater the apparent brightness.Two stars of the same visual magnitude A and B. The apparent magnitude depends on the position of the observer. Different observers give different measurements.
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.
What is the main difference between a refracting telescope and a reflecting telescope?
A refracting telescope uses a convex lens to collect light; a reflecting telescope uses a convex mirror to collect light.
A refracting telescope uses a convex lens to collect light; a reflecting telescope uses a concave mirror to collect light.
A refracting telescope uses a concave lens to collect light; a reflecting telescope uses a concave mirror to collect light.
A refracting telescope is a telescope that uses lenses and refraction to redirect light in order to magnify distant objects.
A reflecting telescope uses reflection off of mirrors in order to magnify. A refracting telescope uses lenses. A reflecting telescope uses broadly speaking mirrors, in particular for the primary few optical elements. Astronomical telescopes are generally reflecting because it’s a whole lot less difficult to scale mirrors to big sizes.
consider it in terms of how your eye works. while your student is bigger in darker situations, it collects greater mild allowing you to peer fainter things. That aperture for maximum humans is set 7mm at the biggest.
A telescope, via the truth that it has a good larger aperture than your eye, collects even extra mild than your eye can. So even a 50mm telescope is amassing a long way greater mild than your eye on my own at just 7mm diameter. and then eyepiece focuses that light for your eye to study.
So with greater aperture, fainter gadgets - which includes stars, galaxies and nebulae - can be visible.
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Uppoe that a phone i dropped from a light pole 70. 0 meter high. How far will the phone have fallen after 3. 00 econd
The formula for horizontal distance is x = Vx * t, where t is the time. The formula for vertical distance from the ground is y = h + Vy * t - g * t2 / 2, where g is the acceleration of gravity.
What is the free fall equation?
Where g is the acceleration of gravity, vf is equal to g * t. On Earth, the value of g is 9.8 m/s/s. The velocity of the object after being dropped from rest for any given period of time can be calculated using the aforementioned equation.
How is height determined?
At the spot where the ruler, book, or other flat object meets your head, lightly mark the wall with a pencil. Measure the distance from the floor to the mark on the wall using a tape measure, preferably one made of metal that will stay straight.
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