The work done by the hamster-wheel system is 0.0625 J.
What is work done in a system or by a system?The work done by a system or on a system is a measure of the energy input used to do useful work such as moving an object a given distance when force is applied.
Work done is defined as the product of the force applied and the distance moved by the force applied in the direction of the applied force.
Mathematically;
work done = force * distanceThe unit of the applied force is Newton; the unit of the distance moved is in meters and the unit of measurement of work done is Joules.
The work done by the hamster-wheel system is given below:
Force of the hamster = mass * acceleration due to gravity
Force on hamster = 25/ 1000 * 10
Force = 0.25 N
Distance = 25.0 cm or 0.25 m
Work done = 0.25 * 0.25
Work done = 0.0625 J
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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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if the sound wave lasts 4 seconds, how much distance did it travel? (please help me)
Answer:
A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance traveled per time of travel. In the case of a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given interval of time. In equation form,If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.
Explanation:
Answer:170
Explanation: 0.50
can also be written as
1
2
.
0.50
seconds is half of a second.
if the wave travels
340
m
every second, it will travel half of that distance in
0.50
seconds.
340
⋅
1
2
=
340
2
=
170
in half of a second, the wave will have travelled
170
metres away from its source.
7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)
Answer:
While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).
On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)
Explanation:
A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached
Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.
What is projectile motion?In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.
Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.
Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.
In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).
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Complete Question:
A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).
1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)
The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg
We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.
We know that momentum =mass × velocity
So,initial momentum of car is =1.4 × 10³kg × 37km/hr
Similarly,,initial momentum of truck=2×10³kg × 35km/hr
Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg + 2×10³kg=3.4 ×10³kg
Assume final velocity of both vehicle is v
So,following the law of conservation,we get
=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v
=>51.8 ×10³ + 2×10³=3.4×10³ ×v
=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v
=>v = 53.8/3.4
=>v=15.82m/sec
Hence,final velocity of both vehicle after collision is 15.82m/sec.
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calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.
The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)
How to fix it?We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.
if r is a deuteron's radius, then by the law of conservation of energy, we get,
2K=1/4πϵo. e²/2r
putting values, we get
K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.
How can the height of a potential barrier be determined?J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,
What is the calculation for height?5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).
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The speed of light in a certain glass is 1.91×10^8 meter per second. What is the refractive index of the glass?
Answer: 1.57
Explanation:
absolute refractive index = [tex]\frac{speed of light in air}{speed of light in a medium}[/tex]
[tex]= > \frac{3 * 10^{8} }{1.91* 10^{8} } \\= > 1.57[/tex]
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 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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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
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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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?
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.
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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what is the formula to find the volume of a sphere
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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The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?
The speed of the wave is determined as 18 m/s.
option D is the correct answer.
What is the speed of the wave?
The speed of the wave is the rate of change of wave's displacement with time.
The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.
v = fλ
where;
v is the speed of the wavef is the frequency of the waveλ is the wavelength of the waveThe frequency of the wave is calculated as follows;
f = 1 / T
where;
T is the period of the waveThe period of a wave is the time taken for the wave to complete one cycle.
In the picture given, 3 cycles of the wave = 0.5 s
1 cycle of the wave = ?
= 0.5 s / 3
= 0.16667 s
f = 1 / T
f = 1 / 0.16667
f = 6 Hz
The speed of the wave is calculated as follows;
v = fλ
v = 6 Hz x 3 m
v = 18 m/s
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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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I NEED HELP ASAP PLSS
Answer:
C.) The United States would become less dependent on energies that emit greenhouse gases.
Explanation:
If nuclear energy increased, it would occupy a larger piece of the pie chart. The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant. This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used. Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2. An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.
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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Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?
Answer:
105N
Explanation:
force = mass x acceleration
force without the 25N = 40 x 2
= 80N
On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N
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.
What will happen to the pitch when a car with a blowing horn is approaching, according to the doppler effect?
Answer: The sound will increase in pitch.
Explanation:
According to the Doppler Effect, sounds will increase in pitch as they are nearing the listener, and then decrease in pitch as the sound moves further away. This is because when sound waves travel a shorter distance, the waves are more compact (higher frequency), producing a higher pitch. The further a listener is from the sound, the lower the pitch because the sound waves are more spread apart (lower frequency).
one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false
True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.
One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.
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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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9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
Answer:
The answer seems to be,
A) The ball is accelerated while it is pushed by the student's hand due to an
A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.
(The answer might be wrong. )
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]
what is the relathion shop between perriod and frequency
Frequency is inversely proportional to the time period. That is, f = 1/T.
What is frequency?This refers to the number of waves that passes a fixed place in a given amount of time. Frequency is measured in hertz, this is equal to one event per second.
What is period, T ?
This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.
Note: AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.
Mathematically :
f = 1/T
T =Total time,Period
f = Frequency
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it’s actually 7th grade science no physics pls answer it’s a lot of points
What do the historical communication technologies in these photos have in common?
(pictures are shown below)
All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.
What is communication?We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.
We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.
However, all the tools shown could be used to send information in times of emergency.
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what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n
The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is 147.2 N .
The Pascal's Law states that the relation between the pressure , force and area is given as :
Pressure = Force/Area ;
given that the diameter of the master cylinder is = 1.93 cm ;
so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;
the diameter of slave cylinder is = 24.9 cm ;
the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;
Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²
Area of the master cylinder (A₂) = π(0.00965)² = 0.000292 m² ;
given mass of the car = 2500 Kg ,
the force exerted will be : F = m*a
F₁ = 2500*9.8 = 24500 N ;
F₁/A₁ = F₂/A₂
So , 24500/0.0486 = F₂/0.000292
F₂ = (24500/0.0486)×0.000292
F₂ = 147.2 N
Therefore , the force exerted on the master cylinder is 147.2 N .
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