Answer:
Distance = 30m
Displacement = 6m W
Explanation:
Given the following:
Movement 1 = 18m W
Movement 2 = 12m E
Diatance is a scalar quantity with only magnitude and no direction. That is, in Calculating the distance moved by the locomotive, the direction of travel or movement of the object is not considered. It only measures the total amount of movement made during the Time of motion.
Therefore, total distance traveled equals :
Movement 1 + movement 2
18m + 12m = 30m
B) Displacement also measures the movement made by an object. However, Displacement is a vector quantity and therefore, considers both magnitude and direction of travel of the object. Therefore, it measures the overall change in position of the object from its starting position.
Therefore, Displacement of the locomotive equals:
18m W - 12m E = 6m E
A skateboarder rides swiftly up the edge of a bowl-shaped surface and leaps into the air. While in the air, the skateboarder flips upside and tosses the skateboard from hand to hand. The skateboarder then rides safely back down the bowl. During the time that the skateboarder and skateboard are not touching anything, one aspect of their motion that is constant is their total (or combined) [note: neglect any effects due to the air]
a. angular momentum.
b. angular velocity.
c. velocity.
d. momentum.
Answer:
Option(a) is the correct answer to the given question .
Explanation:
The main objective of the angular momentum is evaluating however much the rotational movement as well as the angular velocity in the entity does have.The angular momentum is measured in terms of [tex]kgm^{2 }\ / s[/tex].
In the given question the skateboarder rides quickly up the bottom of a bowl-shaped surface and climb into the air.it means it is rotational movement also it is not touching anything so it is angular momentum.All the other option is incorrect because it is not follows the given scenarioTwo particles having charges of 0.50~\text{nC}0.50 nC (q_1q 1 ) and 10~\text{nC}10 nC (q_2q 2 ) are separated by a distance of 3~\text{m}3 m (r = 3~\text{m}r=3 m). At what distance away from charge q1 along the line connecting the two charges can a third positive charge be placed such that it experiences a net electric force equal to zero?
Answer:
The third charge must be placed 0.548 m from q₁.
Explanation:
Let r = 3m be the distance between charge q₁ and q₂.
Let x be the distance between charge q₁ and charge q₃ (the third positive charge)
Then r - x is the distance between charge q₂ and q₃
Let the electrostatic force between q₁ and q₃ be F = kq₁q₃/x²
Let the electrostatic force between q₂ and q₃ be F' = kq₂q₃/(r - x)²
Since F + (-F') = 0 (the signs on the forces are different since the forces are in opposite directions)which is required when the net force on q₃ is zero, then
F - F' = 0
F = F'
So, kq₁q₃/x² = kq₂q₃/(r - x)²
q₁/x² = q₂/(r - x)²
[(r - x)/x]² = q₂/q₁
taking square-root of both sides,
(r - x)/x = ±√q₂/q₁
r/x - 1 = ±√q₂/q₁
r/x = 1 ±√q₂/q₁
x = r/(1 ±√q₂/q₁)
substituting the values of the variables r = 3 m, q₁ = 0.50 nC and q₂ = 10 nC
x = 3 m/(1 ±√10 nC/0.5 nC)
x = 3 m/(1 ±√20)
x = 3 m/(1 ± 4.472)
x = 3 m/5.472 or 3 m/-3.472
x = 0.548 m or -0.864 m
So the third charge must be placed 0.548 m to the right of q₁ or 0.864 m to the left of q₁.
Since we are concerned about the line of charge that connects q₁ and q₂, the third charge must be placed 0.548 m from q₁.
In 2000, a 20-year-old astronaut left Earth to explore the galaxy; her spaceship travels at 2.5 x 10^8 m/s. She returns in 2040. About how old will she appear to be?
Answer:
42.11 years old
Explanation:
Given that:
In 2000, a 20-year-old astronaut left Earth to explore the galaxy; her spaceship travels at 2.5 x 10^8 m/s. She returns in 2040
To find her age we use:
[tex]\Delta t_m=\frac{\Delta t_s}{\sqrt{1-\frac{v^2}{c^2} } }\\[/tex]
Δtm is time interval for the observer stationary relative to the sequence of
events = 2040 - 2000 = 40 years
Δts is is the time interval for an observer moving with a speed v relative to the sequence of event
v = velocity = 2.5 x 10^8 m/s
c = speed of light = 3 x 10^8 m/s
[tex]\Delta t_s=\Delta t_m}{\sqrt{1-\frac{v^2}{c^2} } }\\\Delta t_s=40\sqrt{1-\frac{(2.5*10^8)^2}{(3*10^8)^2}}\\\Delta t_s=22.11\ yr[/tex]
Here age in 2000 is 20 year, therefore when she appear she would be 20 year + 22.11 year = 42.11 years old
A shower has a power of 10kw. A family uses the shower for 1 hour per day calculate how much energy, in kilowatt hours, they would have to pay for each week for using the shower. An electricity company charges 10p for each kwh calculate the cost in pounds
Answer:
70p per week
Explanation:
Power * time = energy
1 kw * 1 hour = 1 kwh per day
For 7 days,
Energy used = 1 kwH/day * 7 days = 7kwh
Total cost per week = 7 kwh * 10p
= 70p
Briefly discuss:
(i) The principles of detecting thermal neutrons utilizing a Si detector.
(ii) The physics of fast neutron detection.
(iii) The principle of operation of strip detectors for charged particle detection and
their application.
Answer:
(i) Si device are coated with B or Li for neutron detection
(ii) Fast neutrons are normally first slowed down to thermal energies before measurement
(iii) The strip detectors consists of p⁺ and n implants in the region of a very thin (300 to 400 μm) depletion zone though which the neutrons traverse producing a readout based on the generated charges being directed to the cathode, p⁺, material which then transmits the charge to the device electronics
Explanation:
(i) Detection of neurons with only an Si device in not possible due to the large neutrons path in Si such that the silicon needs to be coated with B or Li which readily interact with neutrons. The neutron interaction with the reactive coating produces an alpha particle which can be detected by the semi conductor and a nucleus
(ii) Neutrons having a kinetic energy that is more than 1 MeV which as such has a velocity of more than 15,000 km/s is known as fast neutrons or fission neutrons. The fast neutrons are slowed in a nuclear reactor by neutron moderation to thermal energies
Due their high speed, fast neutrons are normally slowed down which however results in the loss of some vector properties of the neutron
Techniques for fast neutron detection includes,
1) Recoil detectors which are capable of fast neutron detection without moderation
2) Bonner spheres detector first converts the fast moving electron to slow down before detection
3) Scintillation counter are widely used but require the conversion of the neutron to a charged particles before detection
(iii) Strip detectors provide high precision measurement of a particle's crossing point which can be further improved by use of low noise electronics
Applications of silicon strip detectors include
1) Particle tracking in research in particle physics
2) Particle tracking in researches in x-spectroscopy nuclear research
3) Imaging in x-talography
4) Medical research imaging
5) Particle tracking and imaging in astrophysics.
Two forces of magnitudes 8N and 15N act at a point,if the resultant force is 17N,the angle between forces is equal to:
Answer:
The resultant of two vectors:
P
and
Q
is given by
R=
P
2
+Q
2
+2PQcosθ
where, P and Q are magnitudes of two vectors and θ is the angle between two vectors.
Here θ=? P=8N Q=15N R=17N
Therefore,
17=
8
2
+15
2
+2×8×15cosθ
289=64+225+240cosθ
289=289+240cosθ
289−289=240cosθ
cosθ=0
cosθ=cos90
θ=90
0
Explanation:
When electrical energy is used what type of energy is also produced and considered to be waste energy?
Answer:
electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy
Answer:
electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy
Explanation:
A machine is 40 % efficient. The total energy supplied to the machine is 4 kJ. Calculate how much useful energy can be transferred.
Answer:
1.6 kJ
Explanation:
0.40 (4 kJ) = 1.6 kJ
A 7.00 g bullet, when fired from a gun into a 1.00 kg block of wood held in a vise, penetrates the block to a depth of 8.00 cm before stopping due to the frictional force between the wood and bullet. This block of wood is next placed on a friction-less horizontal surface, and a second 7.00-g bullet is fired from the gun into the block. To what depth will the bullet penetrate the block in this case
Answer:
Explanation:
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Jorge camina en línea recta por una plaza, cruzándola de forma diagonal, recorriendo 60 m en 3 min. A partir de esta situación, responde: a) ¿Cuál es la distancia que recorre? b) ¿Cuál es el módulo del desplazamiento? c) ¿Qué valor tendrá su rapidez y el módulo de su velocidad?
Answer:
a) d = 60m (distance)
b) D = 60m (displacement)
c) v = 20 m/min
d) |v| = 20 m/min
Explanation:
a) The distance traveled by Jorge is 60m
d = 60m
b) The module of the displacement D, is equal to the values of the distance d, because Jorge walked in a straight line.
D = d = 60m
c) The speed of Jorge is given by the following formula:
[tex]v=\frac{d}{t}[/tex]
d: distance = 60m
t: time of the walk = 3min
[tex]v=\frac{60m}{3min}=20\frac{m}{min}[/tex]
The speed is 20 m/min
The module of the Jorge's velocity is:
[tex]|v|=\frac{D}{t}[/tex]
D: displacement = d = 60m
t: time = 3 min
[tex]|v|=\frac{60m}{3min}=20\frac{m}{min}[/tex]
The module of Jorge's velocity is 20 m/min
Jorge recorre una distancia de 60 m en 3 min. Su desplazamiento de 60 m, lo hace con una rapidez, y módulo de su velocidad, de 20 m/min.
Jorge camina en linea recta por una plaza recorriendo 60 metros en 3 minutos (t).
La distancia recorrida (d) es 60 m.
Como se mueve en linea recta, el desplazamiento (D) coincide con la distancia recorrida, es decir, es de 60 m.
Podemos calcular la rapidez (s) de Jorge usando la siguiente fórmula.
[tex]s = \frac{d}{t} = \frac{60m}{3min} = 20m/min[/tex]
La rapidez es una magnitud escalar y coincide con el modulo de la velocidad, dado que la velocidad es vectorial.
Jorge recorre una distancia de 60 m en 3 min. Su desplazamiento de 60 m, lo hace con una rapidez, y módulo de su velocidad, de 20 m/min.
Aprende mas: https://brainly.com/question/24773606
WHAT IS PHYSICS? OUTLINE THE BRANCHES OF PHYSICS PHYSICS IS AN ESSENTIAL SUBJECT, WHY DO YOU STUDY IT?
i will give brainliest
Answer:
Explanation:
Physics is the natural science that studies matter, its motion and behaviour through space and time and the related entities of energy and force The braches of physics : classical mechanics thermodynamics and statistical mechanics electromagnetism and photons relativistic mechanics quantum mechanics, atomic physics and molecular physics optics condensed matter physics high-energy particle physics and nuclear physics We must study physics to understand how universe worksWhich actions most likely cause the domains in a ferromagnetic material to align? Check all that apply. heating the material rubbing the material against a magnet passing electricity around the material placing the material in a magnetic field of opposite polarity placing the material near a strong magnet hitting the material
Answer:
i. rubbing the material against a magnet
ii. placing the material in a magnetic field of opposite polarity
iii. placing the material near a strong magnet
Explanation:
Ferromagnetic materials are majorly metals which can be easily attracted by a magnet. ferromagnetic materials are made up of domains, behaves as minute pieces of magnet. They can be rearranged to align when under the influence of an external magnetic field.
The alignment of the domains in a ferromagnetic material can be caused by either of the following: rubbing the material against a magnet, placing the material in a magnetic field of opposite polarity, placing the material near a strong magnet.
Answer:
B, D, E
Explanation:
edg2020
Reto: Aníbal desea construir una carpa de base hexagonal de 1,40 m de altura. El vértice de la base es de 0,80m y la longitud de la arista lateral mide 1,80m. ¿cuanto de tela necesito para cubrir la superficie lateral de la carpa? ¿cuanto de tela necesito para cubrir la base de la pirámide, que es un hexágono regular? Cuál es el volumen de la pirámide? ¿cuál es el área total de la pirámide?
Answer:
1.- para cubrir la superficie lateral 4.32 metros²
2.- Area de la base 2.15 metros²
3.- Volumen 1 m³
4.- Area total 6.47 metros²
Explanation:
El área lateral sera calcular el area de seis triangulos iguales cuya base es
0.80 de base x 6 lados = 4.80 metros perimetro de la base
4.80 perimetro de base x 1.80 arista lateral / 2 = 4.32m2
Area de la base:
Perímetro x Apotema / 2
Siendo la Apotema la altura de los triangulos que componen un hexagono calculada utilizando el teorema de pitágoras:
[tex]\sqrt{0.8^2 + (0.8/2)^2} = Apotema[/tex]
Apotema = 0.894427191
Area: 4.80 x 0.894427191 / 2 = 2.146625258
sumando el area de la base mas el area lateral se obtiene el area total
2.15 + 4.32 = 6.47 metros
Volumen de la pirámide:
Area de la Base x Altura / 3
2.15 x 1.40 / 3 = 1.00333 m3
I will give Brainliest to whoever can answer!!!!
If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern?
Answer:
The nodes and anti nodes would reverse roles.
Explanation:
I believe it has to do with the path differences. If waves are in phase, then the path differences are such that the waves reach the screen with crests superimposing crests and troughs superimposing troughs. This happens when the periods of each wave are equal or the paths themselves differ by a whole number multiple of the wavelength (λ, 2λ, 3λ, ...).
Now make these waves out of phase. Then half of the waves will travel half a wavelength farther than the rest. So the path difference will be 0.5λ, 1.5λ, 2.5λ, ....
An electron moving with a velocity of 5 × 104 m s -1 enters into a uniform electric field and acquires a uniform acceleration of 104 m s -2 in the direction of its initial motion. (i) Calculate the time in which the electron would acquire a velocity double of its initial velocity. (ii) How much distance the electron would cover in this tim
Answer:
(i) t = 5s
(ii) x = 3.75*10^5 m
Explanation:
(i) To calculate the time that the electron takes to reach twice the value of its initial velocity, you use the following formula:
[tex]v=v_o+at[/tex] (1)
vo: initial velocity of the electron = 5*10^4 m/s
v: final velocity of the electron = 2vo = 1*10^5 m/s
a: acceleration of the electron = 1*10^4 m/s^2
You solve the equation (1) for t, and replace the values of the parameters:
[tex]t=\frac{v-v_o}{a}=\frac{1*10^5m/s-5*10^4m/s}{1*10^4m/s^2}=5s[/tex]
The electron takes 5s to reach twice its initial velocity.
(ii) The distance traveled by the electron in such a time is:
[tex]x=v_ot+\frac{1}{2}at^2[/tex] (2)
you replace the values of the parameters in the equation (2):
[tex]x=(5*10^4m/s)(5s)+\frac{1}{2}(1*10^4m/s^2)(5s)^2\\\\x=3.75*10^5m[/tex]
The distance traveled by the electron is 3.75*10^3m/s
Dan's plant will require two shifts of skilled workers, seven days a week. As he does his research, he
will pay particular attention to
A. the labor market.
B. regulatory restrictions.
C. performance measures.
D. his target market.
Answer:
the labor market.
Explanation:
Dan's plant will require two shifts of skilled workers, seven days a week. As he does his research, he will pay particular attention to the labor market.
Wings of a bird what kind of motion is it
Answer:
linear motion
Explanation:
the birds in the sky show oscillatory motion when they flap their wings
a student pushed a 100 N bicycle over a distance of 15 m in 5 s. calculate the power generated.
The catch in this one is: We don't know how much force the student used to push the bike.
It wasn't necessarily the 100N. That's just the weight of the bike. But you know that you can push a car, a wagon, or a bicycle hard, you can push it not so hard, you can give it a little push, you can give it a big push, you can push it strong, you can push it weak, you can push it medium. The harder you push, the more it'll accelerate, but it's completely up to you how hard you want to push. That's what's so great about wheels ! That's why they were such a great invention ! This is where I made my biggest mistake. This guy came into my store one day and said he's got this great invention, it's definitely going to take off, it'll be a winner for sure, he called it a "wheel". I looked at it, I turned it over and I looked on all sides. I thought it was too simple. I didn't know then it was elegant. I threw him out. I was so dumb. I could have invested money in that guy, today I would have probably more than a hundred dollars.
Anyway, can we figure out how much force the student used to push with ? Stay tuned:
-- The bike covered 15 meters in 5 seconds. Its average speed during the whole push was (15m/5s) = 3 meters/sec.
-- If the bike started out with no speed, and its average speed was 3 m/s, then it must have been moving at 6 m/s at the end of the push.
-- If its speed increased from zero to 6 m/s in 5 seconds, then its acceleration was (6m/s / 5 sec) = 1.2 m/s²
-- The bike's weight is 100N.
(mass) x (gravity) = 100N
Bikemass = (100N) / (9.8 m/s²)
Bikemass = 10.2 kilograms
-- F = m A
Force = (mass) x (acceleration)
Force = (10.2 kg) x (1.2 m/s²)
Force = 12.24 N
-- Work = (force) x (distance)
Work = (12.24 N) x (15 m)
Work = 183.67 Joules
-- Power = (work done) / (time to do the work)
Power = (183.67 joules) / (5 seconds)
Power = 36.73 watts
the value of MA in the third class lever is alaways less than one,why
Answer:
It is always less than 1 because the load arm is always longer than effort arm.
Explanation:
In the formula, MA= effort divided by load which makes it less than 1.
This helps by reducing the applied force(effort). It is a speed multiplier.
Hope it helps.
Yeah Physics!!!! I will give Brainliest to whoever can solve this question!!!
If i workout 90 minutes on earth, if I am on a rocket traveling 0.80c, according to the timer on the rocket, how long should I exercise?
Answer:
The person should exercise 150 minutes
Explanation:
Recall that the Lorentz factor must be applied to the relationship between the elapsed time (T) of the clock at rest (time measured on Earth), and the elapsed time (T') measured by the clock in the frame moving at 0.8 c. The equation becomes:
[tex]T'=\frac{T}{\sqrt{1-(\frac{0.8\,c}{c})^2 } } \\T'=\frac{90\,min}{\sqrt{1-0.8^2} } \\T'=150\,\,min[/tex]
Madison applied a force of 150 N in a horizontal direction to a sleigh. Meanwhile the sleigh slid 30.0 m across a level surface of snow. The work done on the sleigh by Madison is _________ J.
Answer:
4500 joules
Explanation:
since work(joules) = force(newtons) x distance(meters),
150N x 30M = 4500 Joules
Answer:
4500 joules
Explanation:
150 N x 30 M = 4500 joules
An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are a. the change in its internal energy and b. its final temperature?
Answer:
a) [tex] \Delta U = 7.5 kJ [/tex]
b) [tex]T_{f} = 900 K [/tex]
Explanation:
a) To find the change in its internal energy (U) we need to use the following equation:
[tex] \Delta U = W + Q [/tex]
Where:
W: is the work done on the system
Q: is the energy transferred into the system by heat = 12.5 kJ
Since we have an isobaric expansion, the work is:
[tex] W = - P\Delta V = - P(V_{f} - V_{i}) [/tex]
Where:
[tex]V_{f}[/tex]: is the final volume = 3.00 m³
[tex]V_{i}[/tex]: is the initial volume = 1.00 m³
P: is the pressure = 2.50 kPa
[tex] W = -P(V_{f} - V_{i}) = -2.5 \cdot 10^{3} Pa(3.00 m^{3} - 1.00 m^{3}) = -5.00 \cdot 10^{3} J [/tex]
Now, we can find the change in its internal energy:
[tex] \Delta U = W + Q = -5.00 \cdot 10^{3} J + 12.5 \cdot 10^{3} J = 7.5 \cdot 10^{3} J [/tex]
b) The final temperature can be found as follows:
[tex] \frac{V_{i}}{V_{f}} = \frac{T_{i}}{T_{f}} [/tex]
[tex] T_{f} = \frac{T_{i}*V_{f}}{V_{i}} = \frac{300 K*3.00 m^{3}}{1.00 m^{3}} = 900 K [/tex]
Hence, the final temperature is 900 K.
I hope it helps you!
As a motorcycle takes a sharp turn, the type of motion that occurs is called _______________ motion.
Answer:
circular motion
Explanation:
As a motorcycle takes a sharp turn, the type of motion that occurs is called circular motion.
Circular motion is a movement of an object along a circular path. As this motorcycle makes the sharp turn, it is acted upon by a centripetal force which directs the motorcycle towards the center.
Therefore, circular motion is the correct answer to the question.
Answer:
Circular Motion
difference between uniform velocity and variable velocity .
Answer:
If a body covers equal displacement in equal interval of time,however small may be the body is said to have uniform velocity. If a body covers in equal displacement in equal interval of time is called variable velocity.
Who found Uranus? Name?
Answer:William Herschel found the seventh planet now known as uranus
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Explanation:
Answer:
William Herschel
Explanation:
I NEEED HELP!!!!! Upon using Thomas Young’s double-slit experiment to obtain measurements, the following data were obtained. Use these data to determine the wavelength of light being used to create the interference pattern.
Do this using three different methods.
The angle to the eighth maximum is 1.12°.
The distance from the slits to the screen is 302.0 cm.
The distance from the central maximum to the fifth minimum is 3.33cm.
The distance between the slits is 0.000250 m
Answer:
The wavelength is approximately 611 nm
Explanation:
We can use the formula for the condition of maximum of interference given by:
[tex]d\,sin(\theta)=m\,\lambda\\(0.000250\,\,m)\,\,sin(1.12^o)=8\,\lambda\\\lambda=\frac{1}{8} \,(0.000250\,\,m)\,\,sin(1.12^o)\\\lambda \approx 610.8\,\,nm[/tex]
We can also use the formula for the distance from the central maximum to the 5th minimum by first finding the tangent of the angle to that fifth minimum:
[tex]tan(\theta)=\frac{y}{D}\\ tan(\theta)=\frac{0.0333}{3.02} =0.011026[/tex]
and now using it in the general formula for minimum:
[tex]d\,sin(\theta)\approx d\,tan(\theta)=(m-\frac{1}{2} )\,\lambda\\\lambda\approx 0.00025\,(0.011026)/(4.5)\,\,m\\\lambda\approx 612.55\,\,nm[/tex]
Answer:
The correct answer is [tex]6.1\times10^{-7}\:m[/tex]
Explanation:
The distance from the central maxima to 5th minimum is:
[tex]x_{5n}-x_{0} =3.33\:cm=0.033\:m[/tex]
The distance between the slits and the screen:
[tex]L = 302\:cm = 3.02\:m[/tex]
Distance between 2 slits: [tex]d = 0.00025\:m[/tex]
[tex](n-\frac{1}{2})\lambda=\frac{d(x_n)}{L}[/tex]
For fifth minima, n = 5... so we have:
[tex]x_{5n}=\frac{9\lambda L}{2d}[/tex]
For central maxima, n = 0... so we have:
[tex]x_{0}=\frac{n\lambda L}{d}=0[/tex]
So the distance from central maxima to 5th minimum is:
[tex]\frac{9\lambda \:L}{2d}-0=0.033[/tex] (Putting the values, we get):
[tex]\Rightarrow \lambda = 6.1\times 10^{-7}\:m[/tex]
Best Regards!
Find vertical and horizontal displacement. Please help. 10 points. Thank you.
Explanation:
horizontal velocity = 30 x Cos45 = 19.48m/s
to find horizontal displacement
horizontal displacement = horizontal velocity x timehorizontal displacement = 19.48 x 2 = 38.96mvertical velocity = 30 x Cos45 = 22.81m/s
vertical displacement = vertical velocity x time
vertical displacement = 22.81 x 2 = 45.62m
Answer:
Displacement after two seconds
= <Dx,Dy> = <42.426, 1.593> m to three decimal places
Explanation:
Given:
arrow shot at 30m/s and 45 degrees with horizontal.
Hit bull's eye after 2 seconds.
Find horizontal and vertical displacements.
Vx = 30cos(30) m/seconds constant velocity
therefore
Dx = Vx*t = 30cos(30) m/s * 2 s = 60 cos (45) = 42.426 m
Vy = 30 sin(45) m/s
Dy = Vy*t + a(t^2) /2
= 30*sin(45) -9.81(2^2)/2 (g is accelerating downwards, so negative)
= 1.593 m
The net displacement after 2 seconds is
D = <Dx,Dy> = <42.426, 1.593> m to three decimal places
A physicist is designing a cyclotron to accelerate protons to one-tenth the speed of light. The magnetic field will have a strength of 1.6 T. (a) Determine the rotational period (in s) of the circulating protons. s (b) Determine the maximum radius (in m) of the protons' orbit
Answer:
(a) T = 4.09*10^-8 s
(b) r = 0.19m
Explanation:
(a) In order to determine the rotational period of the protons, you first calculate the angular speed of the proton. You use the following formula for the radius of the trajectory described by the electron in a region with a constant magnetic field:
[tex]r=\frac{mv}{qB}[/tex] (1)
m: mass of the proton = 1.67*10^-27 kg
q: charge of the proton = 1.6*10⁻19C
B: magnitude of the magnetic field = 1.6T
v: speed of the proton = 0.1c = 0.1(3*10^8m/s) = 3*10^7m/s
The angular speed of the proton is v/r, then, you solve for w in the equation (1) and replace the values of the parameters:
[tex]\omega=\frac{v}{r}=\frac{qB}{m}\\\\\omega=\frac{(1.6*10^{-19}C)(1.6T)}{1.67*10^{-27}kg}=1.53*10^8\frac{rad}{s}[/tex]
The rotational period T is:
[tex]T=\frac{2\pi}{1.53*10^8rad/s}=4.09*10^{-8}s[/tex]
(b) The radius of the protons' orbit is calculated by using the equation (1):
[tex]r=\frac{(1.67*10^{-27}kg)(3*10^7m/s)}{(1.6*10^{-19}C)(1.6T)}\\\\r=0.19m[/tex]
The radius of the protons' orbit is 0.19m
A garrafa térmica (também conhecida como "vaso de Dewar") é um dispositivo extremamente útil para conservar, no seu interior, corpos (essencialmente líquidos) em altas temperaturas, minimizando trocas de energia com o ambiente, geralmente mais frio. Uma garrafa térmica contém água a 60 o C. O conjunto garrafa térmica + água possui capacidade térmica C=80 cal/o C. O sistema é colocado sobre uma mesa e, após um intervalo considerável de tempo, a sua temperatura diminui para 55 o C. Nesse caso, conclui-se que o sistema formado pela garrafa térmica e pela água no seu interior: a) perdeu 400 cal. B) ganhou 404cal. C) perdeu 4 850 cal. D) ganhou 4 850 cal. E) não trocou calor com o meio externo.
Answer:
A opção A está correta.
O sistema formado pela garrafa térmica e a água perde 400 cal de calor para o meio ambiente.
Option A is correct.
The system formed by the thermos and the water loses 400 cal of heat to the environment.
Explanation:
Quando a temperatura de um sistema reduz, fica claro que o sistema perdeu calor ou energia térmica. Como a temperatura é um dos indicadores mais claros disso, esta conclusão é hermética e correta.
Mas, para saber a quantidade de calor perdida para o meio ambiente, agora fazemos alguns cálculos de energia térmica.
Transferência de calor de ou para o sistema de água e garrafa térmica = c × ΔT
c = capacidade térmica do sistema de água e garrafa térmica = 80 cal /°C
ΔT = Alteração da temperatura do sistema de água e garrafa térmica = (temperatura final) - (temperatura inicial) = 55 - 60 = -5°C
Calor transferido = 80 × -5 = -400 cal.
O sinal de menos mostra que o calor é transferido para fora do sistema, ou seja, o calor é perdido no sistema.
Espero que isto ajude!!!
English Translation
The thermos (also known as "Dewar vase") is an extremely useful device to conserve bodies (essentially liquid) at high temperatures, minimizing energy exchanges with the environment, which is generally colder. A thermos contains water at 60 o C. The thermos + water set has a thermal capacity of C = 80 cal / o C. The system is placed on a table and, after a considerable period of time, its temperature decreases to 55 o C. In this case, it is concluded that the system formed by the thermos and the water inside:
a) lost 400 cal. B) gained 404cal. C) lost 4 850 cal. D) gained 4 850 cal. E) did not exchange heat with the external environment.
Solution
When a system's temperature reduces, it is clear to conclude that the system has lost heat or thermal energy. Since temperature is one of clearest indicators of this, this conclusion is airtight and correct.
But, to know the amount of heat lost to the environment, we now do some thermal energy calculations.
Heat transferrred from or to the water and thermos system = c × ΔT
c = heat capacity of the water and thermos system = 80 cal/°C
ΔT = Change in temperature of the water and thermos system = (final temperature) - (initial temperature)
= 55 - 60 = -5°C
Heat transferred = 80 × -5 = -400 cal.
The minus sign shows that the heat is transferred out of the system, that is, the heat is lost from the system.
Hope this Helps!!!
Given the resistivities below, which matedal is best described as an insulator?
O A. 4.5 Ω•m
O B. 2.8 x 10-8 Ω•m
O c. 3.2 x 108 Ω•m
O D. 1.7 x 10-8 Ω•m
Answer:
C. 3.2 x 10^8 Ω•m
Explanation:
An insulator is a material that resists the flow of electricity.
In the given data the material with the highest resistivity is the best insulator
3.2 x 10^8 Ω•m