On a day with complete cloud cover, the visible light headed toward Earth: The clouds reflect much of it back to space, though some still reaches the surface.
When the sun shines, the Earth's atmosphere scatters it in all directions. This is why certain sections of the Earth appear brighter than others during the day—the Sun's light has been reflected off of the ground and other objects. When the planet is completely clouded over, no light reaches Earth at all. The term "nowhere" refers to the fact that there is no such thing as a sunrise since there is no such thing as a dawn. On a cloudy day, visible light directed toward the earth is misdirected and darkened by the clouds. This is due to the fact that shorter wavelengths of visible light scatter more than longer wavelengths. Rayleigh scattering is the name given to this phenomena.
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Part A
Determine the electric field strength in the region r ≤a. Give your answer as a multiple of Q/E0. Express your answer in terms of some or all of the variables a, b, c, r, and the constant π.
The electric field in the region r ≤a is E [tex]= - \frac{r}{4\pi a^3} . \frac{Q}{e_0} r[/tex]
The total charge is enclosed within the Gaussian surface.
Q[tex]_{enc}[/tex] = 2Q - Q = Q
Therefore, applying Gauss's law over the Gaussian surface
∫[tex]_{s}[/tex]E.dS = Q[tex]_{enc}[/tex]/ε₀ ⇒ E.4πr² = Q/ε₀ ⇒ E = Q/4πε₀r²(r)
In question solution:
A[tex]_{sphere}[/tex] = 4πr²
ΦE = ∫E⋅dA
ΦE = q/ε₀
E = q/(A⋅ε₀)
E = q/(4πr²ε₀)
for r≤a, qin = -Q
E [tex]= - \frac{r}{4\pi a^3} . \frac{Q}{e_0} r[/tex]
So, the electric field in the region is E [tex]= - \frac{r}{4\pi a^3} . \frac{Q}{e_0} r[/tex]
Your question is incomplete but most probably your full question was:
A uniformly charged ball of radius a and charge −Q is at the center of a hollow metal shell with inner radius b and outer radius c. The hollow sphere has a net charge of +2Q.
Part A: Determine the electric field strength in the region r ≤a. Give your answer as a multiple of Q/E0. Express your answer in terms of some or all of the variables a, b, c, r, and the constant π.
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Bill weighs 160 lb. He is standing on a scale inside an elevator. What is the reading on the scale if the elevator is accelerating downward
the scale's readout if indeed the elevator is decelerating faster than 160 lb .
The elevator speeds up or down, right?Your perceived weight is equal to the normal force.Therefore, whenever the elevator accelerates or upwards downward, you truly feel tiny bit heavier than normal and a little lighter than usual.
If an elevator malfunctions, should you lay down?Any jump you make would only slow the lift's descent to the ground by a very small amount.Even though you could jump perfectly timed and with all the force your legs could produce, it would be pointless.Your greatest option, as opposed to jumping, is to fold down.
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Calculate the momentum for each case and rank each of the following from least to greatest in terms of the amount of momentum each possesses. A 10kg object moving at 10 m/s A 30 kg moving at 5 m/s A 5 kg bject moving at -25 m/s A 100N object moving at 5 m/
Ranking each of the following from least to greatest in terms of the amount of momentum each possesses:
A 5 kg object moving at -25 m/s < A 100N object moving at 5 m/s < A 10kg object moving at 10 m/s < A 30 kg moving at 5 m/s
What is momentum?Momentum is the product of a particle's mass and velocity. The fact that momentum is a vector quantity means that it has both magnitude and direction. The force pushing a particle has an equal-and-opposite impact on the speed at which its momentum changes, according to Isaac Newton's second law of motion. Take a look at Newton's laws of motion.
Newton's second law states that if a particle experiences a constant force for a predetermined period of time, the impulse—which is equal to the force multiplied by the duration—will equal the change in momentum. The amount of time required for a consistent force to bring a particle to rest, in contrast, is measured by a particle's momentum.
We know that momentum, p = mv
Where,
p = momentum
m = mass
v = velocity
Substituting the value in formula we get,
1. A 10kg object moving at 10 m/s
p = 10 × 10
= 100 kg⋅m/s
2. A 30 kg moving at 5 m/s
p = 30 × 5
= 150 kg⋅m/s
3. A 5 kg object moving at -25 m/s
p = 5 × -25
= -125 kg⋅m/s
4. A 100N object moving at 5 m/s
p = (100 × 0.10197 kg) × 5
= 10.197 × 5
= 50.985 kg⋅m/s
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How does the flux of light from an isotropic source depend on the distance r from the source?
A. r 2
B. r -2
C. r -1
D. r 1
E. r 1/2
F. none of the above
The flux of light from an isotropic source depend on the distance r from the source by r-2.
What is isotropic source?
An isotropic source is a source of radiation or sound that emits energy in all directions equally. This type of source is usually assumed to have uniform power density in all directions, making it a simplifying assumption when analyzing a system. Examples include a point source in free space, such as a light bulb, or a sound source in a room.
The flux of light from an isotropic source (a source that radiates uniformly in all directions) decreases as the inverse square of the distance from the source. This means that the flux of light from the source decreases according to the equation F = 1/r2, where F is the flux of light, and r is the distance from the source. Therefore, the flux of light from an isotropic source decreases with the distance r from the source according to the equation F = r-2.
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Normal
Question
Question 22
A projectile is launched into space where there is very little friction. According to Newton's law of inertia, the projectile willmost likely continue to travel in a straight line and?
The projectile will probably keep moving in a straight line and at a constant speed as long as no unbalanced forces are acting on it, according to Newton's law of inertia.
What is law of inertia?The law of inertia, also known as Newton's first law, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by a net external force. In simple words, an object will remain in the same state of motion unless acted upon by an external force. This law explains why it is difficult to start an object moving and easy to keep it moving once it is in motion. This law applies to all objects and is a fundamental principle of physics. It also helps to understand the concept of force, motion and energy in physics.To learn more about law of inertia refer:
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Stern observed all of the following results EXCEPT _______ in his experiment. A. one of the recombinant phenotypes was associated with an X chromosome of normal length B-the number of car, B. male offspring was roughly equal to the number of car+, B male offspring C. the number of males was roughly equal to the number of females D. offspring with red, round eyes resulted from fertilization of eggs containing recombinant X chromosomes
The number of males was roughly equal to the number of females: Stern observed all of the following results EXCEPT _______ in his experiment.
What is experiment?
The Stern-Gerlach experiment (also known as the Stern-Gerlach experiment or the Stern-Gerlach magneto-optical experiment) was a landmark experiment in the early 20th century that demonstrated the inherent quantization of atomic-scale systems. It was conducted in 1922 by Otto Stern and Walther Gerlach in Germany.
The experiment showed that when a beam of silver atoms was passed through a non-uniform magnetic field, the beam split into two separate beams travelling in different directions. This showed that the silver atoms had two possible orientations of their magnetic dipole moment, which could only take on two discrete values. This phenomenon is now known as the Stern-Gerlach effect and is a fundamental part of quantum mechanics.
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The average rate of erosion on the Moon is far less than on Earth because
A) the crust of the Moon is much denser than the Earth's crust.
B) the Moon is much younger than the Earth.
C) the Moon's magnetic field protects it from the solar wind better than ours does.
D) the Moon's mare long ago dried up, so there is no more wave erosion there.
E) the Moon lacks wind, water, and an atmosphere.
E) the Moon lacks wind, water, and an atmosphere. The average rate of erosion on the Moon is far less than on Earth because
What is atmosphere?
Atmosphere is the layer of gases surrounding the Earth, composed of nitrogen, oxygen, and other trace elements. It is held in place by the Earth's gravity and is responsible for the air we breathe, the weather we experience, and the climate of the planet.
The atmosphere is also important for providing protection from harmful ultraviolet radiation from the sun and reducing the temperature extremes on the Earth's surface.
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(I know the velocity (1.6m/s) and now I want to find the angle of the vector. )
A rower intends to row his raft at its top speed of 1.5 m/s from the south bank of a river to a point
directly opposite on the north bank. He fails to recognise the river current which pulls a Jog west at
0.50 m/s, What is the raft's resultant velocity with respect to the bank?
Answer:
R = 1.5 to the northeast
C = .5 to the west
B = C + R adding vectors head to tail
Vector B will be straight north or directly across the river
B = (1.5^2 - .5^2)^1/2
B = 2^1/2 = 1.41
Adding the vectors as described shows that if the rower rows at 1.5 m/s in a northeasterly direction and the river carries the boat downstream at .5 m/s the net speed of the boat is 1.41 m/s straight north
When using a torque increases with a lever?
Since torque is directly proportional to body mass, while the lever arm remains fixed and the mass of the stone grows, so does the torque.
Lever:
Lever is a type of simple machine composed of a stiff beam and a fulcrum. The fulcrum is the point on which the beam pivots. The effort and load are delivered to either end of the beam. A load is applied to the opposite end of a lever when force is applied to the one end.
The three classes of levers are first, second, and third class levers.
The fulcrum of superior levers is positioned between the weight and the effort.
Levers of inferior quality with weight between the fulcrum and the effort
Third-class levers need effort between movements fulcrum and load.
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A car drives up a straight hill at a constant speed of 50 kilometers per hour. A truck drives over the crest of the hill at a constant speed of 50 miles per hour. What is the net force on the car and on the truck
As a result, the net pressures on the automobile and truck are zero.
what is pressure ?
If you tried to smash a bowling pin into the wall, nothing would happen except that people would stop lending you bowling pins. If you used the same force to hammer a nail, the nail would be far more likely to pierce the wall. This demonstrates that knowing the quantity of the force isn't always enough: you also need to know how that force is distributed over the impact surface. The nail condensed all of the power between the wall and the nail into a relatively tiny region on the pointed tip of the nail. However, because the area of the bowling pin that touched the wall was significantly bigger, the force was much less focused.
Newton's Second Law states that the net Force acting on an object is given by
MA Fnet = MA
The acceleration is given by the ratio of the change in velocity of an object and the time it takes to change velocity.
(Vf - Vi)/T = a
If the vehicles are driving at constant speeds, their velocity change is zero (0).
If the velocity change is zero, the acceleration is also zero (0).
As a result, Fnet = M(0) = 0.
As a result, the net pressures on the automobile and truck are zero.
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Define the following
a. Length:
b. Density:
c.Mass:
d. Volume:
e Standard:
Answer:
a.the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of a body.
b.is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
c.Mass is a physical magnitude and general property of matter that expresses the inertia or resistance to change in motion of a body.
d.Mass is a physical magnitude and general property of matter that expresses the inertia or resistance to change in motion of a body.
e.
How much current flows through the bottom wire in the figure(Figure 1) ?
Express your answer to two significant figures and include the appropriate units.
The current through the bottom of the wire is 0.415 A and the negative sign of the current indicates that current flows from left to right from the bottom wire.
The current through various parts of the circuit is as shown in figure.
Here we have to calculate the current I_5.
Applying Kirchoff's loop rule on each of the loops in the circuit, Consider the left triangle, for it, we have
[tex]$$\begin{aligned}& \left(I_1\right) 6 \Omega+\left(I_3\right) 12 \Omega-9 \mathrm{~V}=0 \\& \Rightarrow 6 I_1+12 I_3=9 \\& \Rightarrow I_1=\frac{9}{6}-\frac{12}{6} I_3 \\& \Rightarrow I_1=1.5-2 I_3-----(1)\end{aligned}$$[/tex]
For the centre of the triangle, we have
[tex]$$\begin{aligned}& \left(I_4\right) 24 \Omega-\left(I_3\right) 12 \Omega=0 \\& \Rightarrow I_4=\frac{12}{24} I_3 \\& \Rightarrow I_4=\frac{I_3}{2}-----(2)\end{aligned}$$[/tex]
And for the right triangle, we have
[tex]$$\begin{aligned}& \left(I_2\right) 10 \Omega+\left(I_4\right) 24 \Omega-15 \mathrm{~V}=0 \\& \Rightarrow I_2=\frac{15}{10}-\frac{24}{10} I_4 \\& \Rightarrow I_2=1.5-2.4 I_4------(3)\end{aligned}$$[/tex]
The junction rule applied at the left corner gives
I_1 =I_3+I_5
=I_5 =I_1-I_3
=1.5-2 I_3-(I_3)=1.5-3 I_3--------(4)
And applying the junction rule at the right corner,
I_4 =I_2+I_5
I_5 =I_4-I_2
=I_4-(1.5-2.4 I_4)=3.4 I_4-1.5-------(5)
Using equation (2) [tex]$I_4=\frac{I_3}{2}$[/tex], equation (5) can be written as
[tex]$$\begin{aligned}I_5 & =3.4\left(\frac{I_3}{2}\right)-1.5 \\\end{aligned}$$[/tex]==1.7 I_3-1.5
Solving equations (4) and (6), we have
1.5-3 I_3=1.7 I_3-1.5
(1.5+1.5)=(1.7+3.0) I_3
3.0=4.7 I_3
[tex]\Rightarrow I_3=\frac{3.0}{4.7} \mathrm{~A}[/tex]
Hence the current in the bottom wire is given by
[tex]I_5 & =1.7\left(\frac{3.0}{4.7}\right)-1.5 \\[/tex] =1.085-1.5 =-0.415 A
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How do you find the acceleration of a ball rolling down a slope?
The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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Contrast the force of gravity between these
pairs of objects: a 1-kg mass and a 2-kg
mass that are 1 m apart; a 1-kg mass and a
2-kg mass that are 2 m apart; and two 2-kg
masses that are 1 m apart.
The force of gravity between these pairs of objects: a 1-kg mass and a 2-kg mass that are 1 m apart is 13.[tex]10^{-11}[/tex]34N.
For 2 m apart 6.67[tex]10^{-11}[/tex]N.
For 2-kg mass that are 2 m apart; and two 2-kg masses that are 1 m apart is 26.68N.
How many gravitational forces are there?The resultant (vector sum) of two forces is the force of gravity on Earth: (a) the gravitational pull according to Newton's universal law of gravitation; and (b) the centrifugal force, which is the outcome of choosing an earthbound, rotating frame of reference.
Force between two object is calculated f=Gmm/r^2.
G=6,67*10^-7
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You need a capacitance of 50 µF , but you don't happen to have a 50 µF capacitor. You do have a 90 µF capacitor. What additional capacitor do you need to produce a total capacitance of 50 µF?
According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.
What is the capacitor?
An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.
In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.
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A quarterback runs 5 yards backwards and then 15 yards forward.
What is the quarterback's distance traveled?
What is the quarterback's displacement?
The quarterback also touches the ball on almost every offensive play, and is almost always the offensive player that throws forward passes.
What is the quarterback's?The quarterback (sometimes abbreviated "QB") is a position in gridiron football, also referred to as the "signal caller" Quarterbacks typically line up directly behind the offensive line and are part of the offensive platoon.
In contemporary American football, the quarterback is typically regarded as the offensive coordinator and is frequently in charge of calling the play in the huddle. The quarterback almost always delivers forward passes for the offence and touches the ball on practically every offensive play.
A sack occurs when the quarterback is beaten behind the line of scrimmage. In contemporary American football, the starting quarterback is typically the offensive coordinator, and his or her accomplishments or shortcomings can have a big impact on the team's performance.
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The offensive player who delivers forward passes almost always is the quarterback, who touches the ball on almost every offensive play as well.
The quarterback's, what is it?In gridiron football, the quarterback, sometimes known as the "signal caller," is one of the positions. As a member of the offensive platoon, quarterbacks often line up directly behind the offensive line.
The quarterback is frequently in charge of calling the play in the huddle and is generally considered as the offensive coordinator in modern American football. In almost every offensive play, the quarterback touches the ball and almost always completes forward throws for the offense.
The quarterback is tackled behind the line of scrimmage, which results in a sack. Currently, the starting quarterback in American football is Usually, the offensive coordinator, and his or her successes or failures, can have a significant effect on the team's performance.
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How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2
The tension is the only force exerted horizontally to the car.And according to Newton's Law, F = ma = 1210kg * 1.20m/s = 1452N.So T =1452N.
How would a surface without friction feel?It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.
Is there any surface in the world without friction?In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.
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Order the electromagnetic waves from lowest frequency (1) to highest (4). gamma: infrared: x-ray: visible light:
Gamma: 4
Infrared: 1
X-Ray: 3
Visible Light: 2
Infrared has the longest wavelength between the four options, meaning that it has the lowest frequency. Since the longer the frequency, the lower the frequency. While the shorter the wavelength, the higher the frequency.
The portions of the electromagnetic spectrum are called from greatest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (such as those used in microwave ovens) are a subset of the electromagnetic spectrum's radio wave segment.
Next would be visible light since it has the second longest wavelength out of the given options. Then it would be X-Ray. And finally Gamma since it has the shortest wavelength.
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Why the ball accelerates at a constant rate as it moves down the slope?
The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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The net electric force acting on each of the three objects below is sketched as a green arrow. For example, if the green arrow points to the left the object feels a net electric force pushing it to the left. If there is no green arrow, the object feels no net electric force. Use this information to assign an electric charge to each object. That is, decide whether each object has a positive electric charge, a negative electric charge, or is neutral.
Electric force is the attraction or repelling force that exists between any two charged objects. Newton's laws of motion, which apply to all forces, describe how a force acts and what it does to the target body.
Electric force is produced by what?Mutual interactions between two charges produce electrical forces. When there are three or more charges present, the cumulative effects of each charge's interactions with the other charges produce the electric force acting on a single charge.
Electric force: how powerful is it?2.40 x 1043 times more powerful than the gravitational force is the electric force between these electrons. Or, to put it another way, gravity is only about a trillion trillion trillion trillion times as strong as electricity.
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What is momentum Mcq?
L=rp Angular Momentum the linear momentum p. Moment of momentum is another name for angular momentum.
How do you gain traction?List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.
Can there be negative momentum?Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.
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What is momentum?
1. There are only two factors that affect your environment. (1 point)
O True
OFalse
2. Seasonal changes impact the environment. (1 point)
True
OFalse
3. Plants in a room can actually improve air quality. (1 point)
O True
OFalse
4. Scientists are not concerned with the human impact on the environment.
True
OFalse
5. Land environments are different than water environments. (1 point)
True
False
(1 point)
Seasonal changes impact the environment. is There are only two factors that affect your environment.
What is seasonal behavior?Seasonal affective disorder, a clinically diagnosed syndrome, is believed to represent the morbid extreme of a spectrum of seasonality. Two types of seasonality have been clinically described: one characterized by a winter pattern and a second by a summer pattern of depressive mood disturbance.
Does seasonal mean every year?Seasonality is a characteristic of a time series in which the data experiences regular and predictable changes that recur every calendar year. Any predictable fluctuation or pattern that recurs or repeats over a one-year period is said to be seasonal.
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an object of mass m experiences a gravitational acceleration from a planet of mass M. If the objects mass is doiubled
The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
The force of gravity between two objects is multiplied by two when their masses are each doubled, and so on. Since an object's kinetic energy is exactly proportional to its mass, it will double along with the object's mass. The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
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A 65.6 kg ice skater moving to the right with a velocity of 2.65 m/s throws a 0.142 kg snowball to the right with a velocity of 32.7 m/s relative to the ground. What is the velocity of the ice skater after throwing the snowball
The velocity of the ice skater after throwing the snowball is 0.08m/s.
Given data as per the question is,
Mass of ice skater= 65.6kg
Velocity 1= 2.65m/s
Mass of the Snowball= 0.142kg
Velocity 2= 25.2m/s
Conditions before snowball is thrown:
Total mass of skater + snowball = 65.6+ 0.142 = 65.742kg
Total Momentum of skater + snowball = mv = 65.6 x 2.65 = 173.84 kgm/s
Conditions after snowball is thrown:
Let's call the velocity of the skater V.
Total momentum = momentum of skater + momentum of snowball
=65.6V + (4.6434)
= 65.6V + 4.6434
173.84 = 65.6V+4.6434
173.84- 4.6434= 65.6V
169.19=65.6 V
V= 175.156/69.22
V = 2.57m/s
The total momentum after catching the snowball is mV or:
(65.6 + 0.142) x V
So:
4.6434= 65.742V
V= 5.544/69.22
V=0.08m/s
The velocity of the ice skater after throwing the snowball is 0.08m/s
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jordan wants to see if earthworms prefer rough or smooth terrain to crawl through. What will be his independent variable
The independent variable in this investigation is the type of surface which is changing whereas, the dependent variable is the mobility of earth worm.
What is independent variable?In a experiment or investigation, there are two types of variables which are dependent and independent variable. Dependent variable are those which are dependent on other variables and are changing with respect to other variables.
Independent variables are those not dependent on any other variables and we can change the independent variable to study the change in dependent variable.
Here, the one we studying is the mobility of earth worm which is the dependent variable and the type of surface rough or smooth is the independent variable.
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An object is dropped from the edge of a cliff and is moving at 26.5 m/s just before it hits the ground. How high is the cliff
Here initial speed u=0m/s final speed v=26.5 m/s and acceleration due to gravity g=9.81 m/s^2
CalculationWhere:
m = mass of the object (kg)
g = acceleration due to gravity (9.8 m/s^2)
h = height of the cliff (m)
We know the velocity of the object just before it hits the ground, which is 26.5 m/s. We can use this velocity to calculate the kinetic energy of the object just before it hits the ground.
KE = (1/2)mv^2
As the object is dropped from the cliff, its initial potential energy is converted to kinetic energy. Therefore, the initial potential energy is equal to the final kinetic energy.
GPE = KE
mgh = (1/2)mv^2
We can solve for h by rearranging the equation and substituting the known values for GPE, KE, m, and g.
How can I determine the speed of a falling object before it reaches the ground?Simply multiply the acceleration of gravity by the period of time since the object was released to determine the object's speed (or velocity). In other words, velocity is equal to -9.81 m/s2 * time, or V = gt. The item is just traveling downwards when there is a negative sign.
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cinder block is sitting on a platform 20 m high. It weighs 79 N. The block has
energy. Calculate it.
Answer: 1580 J
Explanation:
Energy is in the form of gravitational potential energy. (GPE)
GPE = mgh , where m is the mass of the block, h is the height and g is the gravitational constant of 9.81 ms-2.
Hence,
Total energy = mass x gravitational constant x height
= Weight x height (since W = mg)
= 79 x 20 J
= 1580 J
Which of the following is NOT considered crucial for life to exist on some world?
A. Liquid water
B. At atmosphere
C. Source of nutrients
D. Source of energy that can be used by life
Answer
Atmosphere is not required in some world
Why do we think tiny quantum ripples should have been present in the very early universe?
A) The shock wave of the Big Bang caused ripples that expanded outward with time.
B) The energy released when the strong force froze out of the GUT force caused shock waves that produced ripples in the universe.
C) Matter and antimatter particles that spontaneously formed from high-energy photons caused perturbations in the radiation field.
D) The annihilation of matter and antimatter particles caused tiny explosions that perturbed the radiation field.
E) Quantum mechanics requires that the energy fields at any point in space be continually fluctuating as a result of the uncertainty principle.
The correct answer of the following statement is:
E) The uncertainty principle of quantum mechanics dictates that energy fields anywhere at location in space must be constantly fluctuating.
What is Quantum mechanics?Quantum Mechanics is the branch of physics that deals with the behavior of matter and energy at the subatomic level. It explains the behavior of particles such as electrons, protons, and neutrons and how they interact with each other and with electromagnetic radiation. It also describes the behavior of matter on a macroscopic scale, such as the behavior of solids, liquids, and gases. Quantum Mechanics provides an understanding of the behavior of matter on the smallest scales, allowing us to understand the structure of the universe and its evolution over time.
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Suppose two dinosaurs with masses of 80. 0 kg and 120. 0 kg sat on the middle and the far end, respectively, of a tree branch. The dinosaurs produced a net counterclockwise torque of 9,400N•m about the end of the branch that was attached to the tree. What was the length of the branch?
The dinosaurs produced a net counterclockwise torque of 9,400Nm about the end of the branch that was attached to the tree. The length of the branch is 4.7m.
τ = Σr × F = rmg
where g is the acceleration caused by gravity, m is the mass, and r is the distance.
Torque has a direct relationship with -
1.the object's mass, in m
2. The mass's separation, r, from the location where the torque is being calculated.
Therefore, the torque will change whether we increase or reduce them.
Therefore, increasing mass will result in an increase in torque, but since we must retain the same torque, we must reduce mass's distance from the location of the torque.
As a result, the mass should be moved closer to the location of the torque.
Total Mass = (80 + 120)kg
= 200kg
Torque = 9400N
τ = Σr × F = rmg
τ = 200 × r × 10
9400 = 200 × r × 10
r = 9400 / 2000
r = 4.7m
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