Answer:
Explanation:
mass, m = 1 kg
specific heat, c = 1.5 J/g°C
rise in temperature, ΔT = 41 - 21 = 20
heat released, H = m x c x ΔT
H = 1 x 1.5 x 1000 x 20
H = 30,000 J
H = 30 kJ.
Answer:
A) 22.5 JExplanation:
on edg I got it right
Two small, irregularly-shaped moons, Phobos and Deimos, orbit Mars. They are believed to be captured asteroids. What are the approximate orbital periods of Phobos and Deimos respectivelyA. 7 days, 12 hours; 1 day, 2 hours
B. 7 hours 35 minutes; 1 day, 6 hours
C. 14 days, 10 minutes; 2 days, 12 hours
D. 15 hours; 2 days, 12 hours
Answer:
Option B
Explanation:
The orbital periods of Phobos and Deimos can be calculated using the Newton's form of Kepler's third law:
[tex] T^{2} = \frac {4 \pi^{2}}{G*M_{m}} \cdot a^{3} [/tex]
where T: is the period, G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻², Mm: is the mass of Mars = 6.42x10²³ kg, [tex]a_{P}[/tex]: is the average radius of orbit for the satellite Phobos = 9376 km, and [tex]a_{D}[/tex]: is the average radius of orbit for the satellite Deimos = 23463 km.
The orbital period of Phobos is:
[tex] T = \sqrt {\frac {4 \pi^{2}}{6.67 \cdot 10^{-11} m^{3} kg^{-1} s^{-2}*6.42 \cdot 10^{23} kg} \cdot (9.376 \cdot 10^{6} m)^{3}} = 2.75 \cdot 10^{4} s = 7 hours 36 min [/tex]
The orbital period of Deimos is:
[tex] T = \sqrt {\frac {4 \pi^{2}}{6.67 \cdot 10^{-11} m^{3} kg^{-1} s^{-2}*6.42 \cdot 10^{23} kg} \cdot (2.35 \cdot 10^{7} m)^{3}} = 1.09 \cdot 10^{5} s = 1 day 6 hours [/tex]
Therefore, the approximate orbital periods of Phobos and Deimos are 7 hours 35 minutes and 1 day 6 hours, respectively, so the correct answer is option B.
I hope it helps you!
If you ride your bike at an average speed of 2 km/h and need to travel a total distance of 20 km, how long will it take you to reach your destination? Show your work.
Answer:
Time taken to reach your destination will be 10hours
Explanation:
Recall the formula for Speed;
speed=Total distance/Total time taken
Speed=2km/h
Total distance=20km
Time taken=x
let x be the unknown time taken
Input each values into the formula;
2=20/x
Making x subject of the equation
x=20/2
x=10
Total time taken =10hours.
Answer:
10 hours
Explanation:
The average speed of a body is given by;
[tex]v_{avg}=\frac{s}{t}..................(1)[/tex]
where s is the total distance travelled and t is the total time spent.
Given;
s = 20km
t = ?
[tex]v_{avg}=2km/h[/tex].
We substitute into equation (1) and then solve for t.
[tex]2=\frac{20}{t}\\2t=20\\t=\frac{20}{2}\\t=10hrs.[/tex]
Which of the following physical laws or principles can best be used to analyze the collision between the object and the pendulum bob? Which can best be used to analyze the resulting swing? 1. Newton's first law 2. Newton's second law 3. Newton's third law 4. Conservation of mechanical energy 5. Conservation of momentum
3. Newton's third law
5. Conservation of momentum
Explanation:
Conservation of momentum is mostly used for describing collisions between objects. Here, the type of collision is inelastic collision in which the object when collides with the pendulum bob sticks to it and moves as a combined object. In this process the momentum is conserved.
Let the mass of the pendulum be m1 moving with a velocity v1.
Let the mass of the object be m2 moving with a velocity v2.
Since the momentum is conserved during collision, the equation will be
[tex]m1 v1 + m2 v2 = (m1 + m2) v[/tex]
Where, v is the velocity of the combined system.
Conservation of momentum is actually a direct consequence of Newton's third law.
Consider a collision between two objects, object A and object B. When the two objects collide, there is a force on A due to B. However, because of Newton's third law, there is an equal force in the opposite direction, on B due to A
FAB = -FBA
The mechanical energy is not conserved due to the fact that the kinetic energy is not the same before and after the collision.
The conservation of momentum is crucial for analyzing collisions, while the conservation of mechanical energy is ideal for studying swinging motion.
Conservation of momentum can best be used to analyze the collision between the object and the pendulum bob, while Conservation of mechanical energy is best suited to analyze the resulting swing.
Star A and star B appear equally bright in the sky. Star A is twice as far away from Earth as star B. How do the luminosities of stars A and B compare?
Answer:
The answer to the question is
The luminosity of stars A is four times that of star B
Explanation:
Flux (F) produced by a source of light is directly proportional to the brightness or Luminosity (L), and varies inversely to its distance d, that is [tex]F \alpha \frac{L}{d^2}[/tex]
Therefore if the two stars present the same flux then we have
[tex]\frac{L_1}{d_1^2} = \frac{L_2}{(2d_1)^2}[/tex] then crossing out like terms gives [tex]\frac{L_1}{1} = \frac{L_2}{2^2}[/tex] or 4·L₁ = L₂
The luminosity of star A is 4 times the that of star B
Final answer:
Star A, being twice as far away from Earth as Star B but appearing equally bright, must have a luminosity that is four times greater than Star B's luminosity, due to the inverse square law of light.
Explanation:
When comparing the luminosities of two stars that appear equally bright from Earth, but one is twice as far away as the other, we must account for the inverse square law of light. This law dictates that the intensity (brightness) of light from a source (in this case, a star) decreases proportionally to the square of the distance from the source.
Therefore, if Star A is twice as far away from Earth as Star B, yet they appear to have the same brightness, Star A must have a luminosity four times greater than that of Star B. This is because, to compensate for the increased distance, Star A must emit more light to be perceived as equally bright as Star B from Earth.
Which conditions are usually the effect of a low air pressure system?
The given question is incomplete as the options are missing. The options related to this question are as follows-
(A) clear dry weather
(B) hot dry weather
(C) cloudy wet weather
(D) cold dry weather
Answer:
Option (C)
Explanation:
The surface temperature often increases because of increased absorption of solar radiation, the air present at the surface gets heated up more readily, as a result of which the air becomes less dense, and eventually rises up. This gives rise to the creation of a low air pressure system. It often forms clouds comprising of increase relative humidity, and generates wind and thereby causes precipitation. It also causes heavy storms when the atmospheric conditions are too intense.
Thus, the type of weather associated with this is wet and cloudy weather.
Hence, the correct answer is option (C).
Answer:
D
Explanation:
Cloudy wet weather
What do we mean when we say that the sun is in energy balance?
Answer:The amount of energy released by fusion in the Sun's core equals the amount of energy radiated from the Sun's surface into space.
Explanation: Energy balance is a used to describe the balance between the amount of energy input and the amount of energy output. When the amount of energy released is Equal to the amount of energy given back to the System we say there is an energy balance.
The Sun is the major source of energy in the Universe, and it produces energy through FUSION OF RADIOACTIVE MATERIALS IN ITS CORE, WHEN THE ENERGY RELEASED BY FUSION THE SUN IS EQUAL TO THE ENERGY RELEASED TO THE OUTER SPACE WE SAY THERE IS ENERGY BALANCE.
A photovoltaic array of (solar cells) is 10.0% efficient in gathering solar energy and converting it to electricity. show answer Incorrect Answer 50% Part (a) If the average intensity of sunlight on one day is 710 W/m2, what area, in square meters, should your array have to gather energy at the rate of 75 W
Answer:
[tex]A = 1.056\,m^{2}[/tex]
Explanation:
The portion of solar energy converted into electric energy is given by the following equation:
[tex]\dot E = \eta \cdot I\cdot A[/tex]
The area needed to produce energy is derived by clearing the corresponding variable:
[tex]A = \frac{\dot E}{\eta \cdot I}[/tex]
[tex]A = \frac{75\,W }{(0.1)\cdot (710\,\frac{W}{m^{2}} )}[/tex]
[tex]A = 1.056\,m^{2}[/tex]
Two points are located on a rigid wheel that is rotating with decreasing angular velocity about a fixed axis. Point A is located in the rim of the wheel and pint B is halfway between the rim and the axis. Which one of the following statements concerning this situation is true?
1. The angular velocity at point A is greater than that of point B
2. Both points have the same centripetal acceleration
3. Both points have the same tangential acceleration4. Both points have the same instantaneous angular velocity
5. Each second, point A turns through a greater angle than point B
Answer:
4. Both points have the same instantaneous angular velocity
Explanation:
Angular velocity is a measure of the the number of rotations per unit time. This does not depend on the radius of the wheel. Hence, all points on the wheel have the same angular velocity. This invalidates option 1.
The centripetal acceleration is given by the product to the square of the angular velocity and the radius or distance from the centre. A and B are located at different distances from the centre. Hence, they have different centripetal acceleration. This invalidates option 2.
The tangential acceleration depends on the linear velocity which itself is a product of the angular velocity and the distance from the centre. Hence, it is different for both points because they are at different distances from the centre.
Since both A and B are fixed points on the wheel, they move through equal angles in the same time. In fact, for any other fixed point, they all move through the same angle in the same time. This invalidates option 5.
Final answer:
All points on a rotating wheel share the same instantaneous angular velocity; however, points farther from the axis will experience greater centripetal acceleration. The correct statement is that both points have the same instantaneous angular velocity.
Explanation:
The question concerns the properties of points located at different radii of a rotating wheel, specifically relating to angular velocity, centripetal acceleration, and tangential acceleration. We can address the situation by considering the principles of circular motion. When a rigid wheel is rotating about a fixed axis, all points on the wheel have the same instantaneous angular velocity since every point on the wheel rotates through the same angle in the same amount of time.
Centripetal acceleration is proportional to the radius and the square of the angular velocity. Since point A, being at the rim, is farther from the axis than point B, point A experiences a greater centripetal acceleration. On the other hand, tangential acceleration is related to the angular acceleration and the radius. If the wheel is rotating with decreasing angular velocity, both point A and B experience the same tangential acceleration because it is a property of the wheel's rotation, not the points' individual locations.
The correct statement in this scenario is that both points have the same instantaneous angular velocity, which makes option 4 the true statement.
Explain Rutherford's experiment?
Answer:
Rutherford bombarded aluminum foil with beam of light known as alpha particles. The mass of this alpha particle is equivalent to helium atom.
Explanation:
Rutherford bombarded aluminum foil with beam of light known as alpha particles. The mass of this alpha particle is equivalent to helium atom.
When this alpha particles were made to strike the aluminum foil, some passed through the foil, some were reflected and speed others changed.
The ones reflected encountered heavier particle known as the nucleus, preventing them from passing through it. The whole observations indicated that atom is not is uniformly charged sphere as proposed by J.J Thomson.
Rutherford proposed new model known as the Planetary model of atom, which described atom as containing a nucleus which is revolved by electron, just like planets revolve round the sun. And this nucleus contains opposite charge to electron which is proton, to balance the motion.
How many times did thomas edison fail before inventing the lightbulb
Answer:
he failed thousands of times
Explanation:
There is no known number for his failings. Edison may have failed in many of his experiments and in his schooling, but he had something better working in his favor. He had great determination and persistence.
He failed thousands of times in an attempt to develop an electric light, the great Edison simply viewed each unsuccessful experiment as the elimination of a solution that wouldn’t work, thereby moving him that much closer to a successful solution.
\ describes the size and distance relationship of our sun and the nearest star?
Answer: Two marbles separated by 300 kilometers
Explanation: Hope i helped have a great day and please mark brainliest i would appreciate it!
A 49-year-old female was referred for mammography, but she is very apprehensive after reading about the risk of ionizing radiation. How should the radiographer handle this situation?
Answer:
Mammography is the process in which low energy radiations are used to diagnose and screening. The purpose of this process is the early detection of the breast cancer. These low energy radiations may have some risks like damaging and burning of cells.
In the current scenario, woman is apprehensive because she has read about the risks of using ionizing radiations. The radiographer should tell her the benefits of the mammography will outweigh its potential consequences. Screening, for instance, will let her know if she is suffering from breast cancer. Cancer is very dangerous disease as compare to very small burning.
In this way radiographer should handle the situation.
The parallel plates in a capacitor, with a plate area of 8.50 cm2 and an air-filled separation of 3.00 mm, are charged by a 6.00 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 8.00 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates
Final answer:
The problem about a parallel-plate capacitor requires the application of electromagnetism principles to determine changes in potential difference, initial and final stored energy, and the work required to separate the plates, all based on the capacitor's geometry and the effect of plate separation on capacitance.
Explanation:
To answer the student's question about the parallel-plate capacitor, we need to apply concepts from electromagnetism, specifically the relationships between charge, voltage, capacitance, and energy in capacitors. When the parallel plates of a capacitor are separated, the capacitance changes, but the charge remains the same since it is isolated after being disconnected from the battery. The potential difference between the plates changes as a result of the changing capacitance. The initial energy stored in the capacitor can be calculated using the formula U = 1/2 CV^2, and the final energy stored after increasing the plate separation can be calculated with the same formula but with the new capacitance value. The work done to separate the plates is equivalent to the change in stored energy, which can either be the work done by an external force or the work lost to the system.
An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.235 V/m imposed along its entire length. The temperature of the wire is 55.0°C. Assume one free electron per atom. Given that at 20 degrees, rhoo = 2.82x10-8 Ωm and α = 3.9x10-3 /C. Determine:
a) the resistivity of the wire.
b) the current density in the wire.
c) the total current in the wire.
d) the potential different that must exist between the ends of a 2m length of wire if the given electric field is to be produced.
Answer:
Explanation:
a) To get the resistivity ρ at 50 Celsius, given the resitstivity at 20 Celsisus, use:
ρ = ρo(1 + α(T - To))
where To = 20 Celsius
b) Knowing the resistivity at 50 Celsius, and the (uniform) electric field E, you can determine the current density J using:
E = ρJ
(which is actually a density-averaged version of V = IR)
c) Assuming the current is uniform (which is should be in a uniform electric field and constant-diameter wire), the current i can be calculated using:
J = i/A --> i = JA
where A is the cross-sectional area of the wire (given by πr2); make sure to convert the given diameter to a radius, and the radius to base units
d) Since the electric field is given in volts per meter, and you have two meters of length in the wire, you can determine directly from that how many volts difference you need at the ends of the wire to get 0.2 volts per meter.
0.2 = V/d
with d = 2 m. This corresponds to a uniform electric field being related to voltage by V = Ed, where d is distance along the field line.
Explanation:
Below are attachments containing the solution.
A bungee jumper attains a speed of 30 m/s just as the bungee cord begins to stretch. If the period of stretch is 2 s while coming to a halt, the jumper's average deceleration in g’s is about ______?
Answer:[tex]1.53g[/tex]
Explanation:
average deceleration= ?
inial velocity: [tex]u=0[/tex]
final velocity: [tex]v=30m/s[/tex]
time: [tex]t=2seconds[/tex]
The first law of kinematics :
[tex]v=u+at[/tex]
find a the subject of the formula
[tex]a=v-u/ t[/tex]
[tex]a=\frac{0-30} 2[/tex]
[tex]a=-30/2[/tex]
[tex]a=-15m/s^{2}[/tex]
The deceleration about g(acceleration due to gravity) will be:
[tex]15/9.8[/tex]
[tex]1.53g[/tex]
The bungee jumper's average deceleration in g's is approximately -1.53 g's.
Explanation:To find the average deceleration, we need to calculate the change in velocity and divide it by the time it took to come to a halt. The change in velocity is the final velocity minus the initial velocity, which is 0 m/s minus 30 m/s, giving us -30 m/s. The time is given as 2 s. Plugging these values into the formula for average deceleration, we get:
Average Deceleration = (Change in Velocity) / (Time)
Average Deceleration = (-30 m/s) / (2 s) = -15 m/s²
To convert this to g's, we need to divide by the acceleration due to gravity (9.8 m/s²).
Average Deceleration in g's = (-15 m/s²) / (9.8 m/s²) ≈ -1.53 g's
Learn more about Bungee jumper's average deceleration here:https://brainly.com/question/32891755
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You push a 45 kg wooden box across a wooden floor at a constant speed of 1.0 m/s. The coefficient of kinetic friction is 0.25. Now you double the force on the box. How long would it take for the velocity of the crate to double to 2.0 m/s
Final answer:
To double the velocity of the wooden box, you need to double the force applied to it. Use the equation Force = coefficient of kinetic friction x normal force to calculate the force required to push the crate at a constant speed. Then, double this force to find the force required to double the velocity.
Explanation:
To double the velocity of the crate to 2.0 m/s, you need to double the force applied to the crate. The force required to push the crate at a constant speed can be calculated using the equation:
Force = coefficient of kinetic friction x normal force
The normal force is equal to the weight of the crate, which is given by:
Normal force = mass x gravity
With the given values of the mass of the crate (45 kg), the coefficient of kinetic friction (0.25), and the acceleration due to gravity (9.8 m/s²), you can calculate the force required to push the crate at a constant speed. Then, you can double this force to find the force required to double the velocity.
The ball was kicked in the air and it iss about to hit the . if horizonta componenet of its final velocity is 10m/s and vertical component of its final velocity is -10m/s .what is the magnotide of th final vellocity of the ball?
Answer:
The total velocity of the ball will be 14.14 m/s.
Explanation:
Horizontal Velocity component = 10 m/s
Vertical Velocity component = -10 m/s
Total velocity of the ball will be found from the following equation:
(Total velocity) ^2 = (Horizontal Velocity) ^2 + (Vertical Velocity) ^2
Total Velocity ^2 = 10^2 + (-10)^2
Total Velocity^2 = 100 + 100
Total Velocity = [tex]\sqrt{200}[/tex]
Total Velocity = 14.14 m/s
You go to the doctor and he gives you 13 milligrams of radioactive dye. After 12 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived
Answer:
Explanation:
Applying the exponential function of decay
M=Cexp(-kt)
At t =0 the mass is 13mmg
Therefore
13=Cexp(0)
C=13
M=13exp(-kt)
After 12mins, M=8mmg
8=13exp(-K×12)
8/13=exp(-12k)
0.615=exp(-12k)
Take In of both sides
In(0.615)=-12k
-0.4855=-12k
Then, k=0.0405
Then the equations become
M=13exp(-0.0405t)
We need to find t at M=2mmg
M=13exp(-0.0405t)
2=13exp(-0.0405t)
2/13=exp(-0.0405t)
0.1538=exp(-0.0405t)
Take In of both sides
In(0.1538)=-0.0405t
-1.872=-0.0405t
Then t=-1.82/-0.0405
t=46.22mintes
How long can it light a flashlight bulb that draws 0.60 a?
Final answer:
To calculate the flashlight's power usage, we use power and current formulas based on given charge and voltage values. Similarly, to estimate battery life for a flashlight bulb, we divide the battery's Amp-Hour capacity by the bulb's current draw.
Explanation:
The question is about determining the average current used by a flashlight bulb over a time period and how long the battery would last. To calculate the power usage, we apply the formula P = IV, where P is the power in watts, I is the current in amperes, and V is the voltage in volts. Given that 600 C (coulombs) of charge passes through the flashlight in 0.500 hours (which is 1800 seconds) and the voltage is 3.00 V, we can find the average current using the formula I = Q/t, where Q is the charge in coulombs and t is the time in seconds.
To find out how long a battery will keep a flashlight bulb burning, we divide the battery capacity in ampere-hours (Ah) by the current drawn by the bulb. If a 1.00-W bulb is used and the battery is rated at 1.00 Ah and 1.58 V, we first need to use the power formula P = IV to find the current drawn by the bulb.
The flashlight bulb that draws 0.60 A can be lit for approximately 1.67 hours using a 1.00 Ah alkaline battery. This is calculated by dividing the battery capacity by the current drawn by the bulb.
To determine how long a flashlight bulb that draws 0.60 A can be lit, we must consider the battery's capacity and voltage. Here is a step-by-step explanation:
First, identify the battery capacity. Assume we have an alkaline battery rated at 1.00 Ah.
Next, understand that 1.00 Ah means the battery can supply 1.00 ampere for 1 hour.
Since the flashlight draws 0.60 A, we calculate the time the battery can light the bulb using the formula:
Time (hours) = Battery Capacity (Ah) / Current (A)
Substitute the values:
Time = 1.00 Ah / 0.60 A = 1.67 hours
Thus, the flashlight bulb can be lit for approximately 1.67 hours or 1 hour and 40 minutes before the battery is depleted.
What is the coefficient of static friction between the coin and the turntable?
Answer:The coefficient of static friction between the turntable and the coin is 0.1
Explanation:
The coefficient of static friction is the friction force between two objects when neither of the objects is moving. ... A value of 1 means the frictional force is equal to the normal force. It is a misconception that the coefficient of friction is limited to values between zero and one.
.A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = –30 cm. What is the acceleration of the particle?
Answer:
[tex]4.08cm/s^2[/tex]
Explanation:
The second equation of a uniformly accelerated motion could be used to solve this problem. This is given by equation (1);
[tex]s=ut+\frac{1}{2}at^2....................(1)[/tex]
where u is the particle's initial velocity, t is the time taken, a is the acceleration and s is the distance travelled.
Given;
u = 20cm/s
t = 7s
a = ?
s = ?
The particle moved from one point [tex]x_1[/tex] to another point [tex]x_2[/tex] along the x-axis, where [tex]x_1=10cm[/tex] and [tex]x_2=-30cm[/tex]. This information could be used to find the distance s covered by the object as follows;
[tex]s=x_1-x_2.................(2)\\s=10-(-30)\\s=10+30\\s=40cm[/tex]
We the make appropriate substitutions into equation (1) and then solve for the acceleration.
[tex]40=(20*7)+\frac{1}{2}*a*7^2\\40=140+\frac{1}{2}*a*49\\40=140+24.5a\\40-140=24.5a\\hence\\24.5a=-100\\a=\frac{-100}{24.5}\\a=-4.08cm/s^2[/tex]
The negative sign is an indication that the particle is decelerating.
Answer:
7.347 cm / s²
Explanation:
Using equation of linear motion
S = ut + 1/2 at²
where total displacement = final displacement - initial displacement
S = - 30 - 10 = - 40 cm
- 40 cm = (20 cm /s × 7 s) + 1/2 a (7²)
- 40 cm = 140 cm + 1/2 49 a
- 40 cm - 140 cm = 1/2 × 49 a
- 180 cm × 2 / 49 s² = a
a = -7.347 cm / s²
It is probably decelerating.
The drawing shows an electron entering the lower left side of a parallel plate capacitor and exiting at the upper right side. The initial speed of the electron is The capacitor is cm long, and its plates are separated by 0.150 cm. Assume that the electric field between the plates is uniform everywhere and find its magnitude.
Answer:
The electric field between the plates is 2173 N/C
Explanation:
Given that,
Distance = 0.150 cm
Suppose,The initial speed of the electron is [tex]7.05\times10^6\ m/s[/tex]. The capacitor is 2.00 cm long,
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
Put the value into the formula
[tex]t=\dfrac{2.00\times10^{-2}}{7.05\times10^{6}}[/tex]
[tex]t=2.8\times10^{-9}\ s[/tex]
We need to calculate the acceleration
Using equation of motion
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
[tex]a=\dfrac{2s}{t^2}[/tex]
Put the value into the formula
[tex]a=\dfrac{2\times0.150\times10^{-2}}{(2.8\times10^{-9})^2}[/tex]
[tex]a=3.82\times10^{14}\ m/s^2[/tex]
We need to calculate the electric field between the plates
Using formula of electric field
[tex]E=\dfrac{F}{q}[/tex]
[tex]E=\dfrac{ma}{q}[/tex]
Put the value into the formula
[tex]E=\dfrac{9.1\times10^{-31}\times3.82\times10^{14}}{1.6\times10^{-19}}[/tex]
[tex]E=2173\ N/C[/tex]
Hence, The electric field between the plates is 2173 N/C
How much force is required to hold an empty carton of volume 1.5 L beneath the surface in a sink of water? Assume the carton is empty, so its own weight is negligibly small.
Answer:
It will require 14.715 N of force to hold the cartoon beneath the water.
Explanation:
Given the the volume of cartoon is 1.5 liters.
We need to find the force required to hold this cartoon beneath the water.
As we know from the Archimedes principle that the net force is equal to the volume of liquid displaced.
Given volume of the cartoon is 1.5 liters. So, 1.5 liters of water will be displaced.
And we know the density of the water is [tex]1000\ kg/m^3[/tex]. That is [tex]1\ kg/L[/tex]
And [tex]g=9.81\ m/s^2[/tex]
[tex]F_N=\rho Vg\\F_N=1\times 1.5\times 9.81\\F_N=14.715\ N[/tex]
So, it will require 14.715 N of force to hold 1.5 liter volume of cartoon beneath the water.
Would a vibrating proton produce an electromagnetic wave
Yes, a vibrating proton would produce an electromagnetic wave, as accelerating charges emit radiation. This principle is central to many technological and scientific applications, including radio transmissions and the study of galactic structures in astronomy.
Explanation:Accelerating charges such as protons, when they vibrate, indeed produce electromagnetic waves. This effect is due to the fact that a changing electric field generates a magnetic field, and a changing magnetic field, in turn, generates an electric field. As a proton oscillates, it experiences acceleration and therefore can emit radiation. This principle is extensively used in various technologies, like radio transmission, where an alternating current in an antenna accelerates charges and creates electromagnetic waves.
The production and detection of electromagnetic waves are crucial in many fields, including communications and astronomy. Just like an electron, a proton is also a spin 1/2 particle with a magnetic moment and can emit radiation that can be detected, such as the 21-cm line in the hydrogen spectrum, which allows astronomers to map the spiral arms of galaxies.
Considering the mass and charge of particles, a vibrating proton can generate electromagnetic radiation, albeit at different frequencies compared to electrons due to their larger mass. This forms the basis of nuclear magnetic resonance (NMR) utilized in various scientific and medical applications.
The physical model of the sun’s interior has been confirmed by observations of
The physical model of the sun's interior has been confirmed by observations of neutrino and seismic vibrations.
Explanation:
Sun's interior is composed of very high temperature and solar flares. So it is very difficult to understand the interior of the sun. But by using the vibrations of neutrino and seismic waves emitted by the solar waves, the physical model can be assumed.
As the interior of the sun performs continuous chain of hydrogen cycle. So the continuous emission of energy from the chain reaction releases neutrino. So these vibrations in neutrino and seismic vibrations, the physical model can be assumed easily.
The total power consumption by all humans on earth is approximately 1013 W. Let’s compare this to the power of incoming solar radiation. The intensity of radiation from the sun at the top of the atmosphere is 1380 W/m2. The earth's radius is 6.37×106 m.
Answer:
Power coming from solar radiations is 6.94 * 10^14 times higher that the power consumption of all humans.
Explanation:
Intensity of sunlight = I = 1380 w/m^2
Area of earth = A = 4*pi*r^2 = 4*pi*(6.37*10^6)^2 = 5.09*10^14 m^2
he intensity is defined as the total power spread over the area of earth (Area of Sphere with radius equal to distance between earth and sun) and given by the following formula:
Intenity of sunlight = Power/Area of earth
I = P/A
P = IA
P = (1380)(5.09*10^14)
P = 7.036*10^17 W
if we take ratio:
7.036*10^17/1013 = 6.94 * 10^14
Hence, power coming from solar radiations is 6.94 * 10^14 times higher that the power consumption of all humans.
The blades of a ceiling fan start from rest and, after two revolutions, have an angular speed of 0.5 rev/s. The angular acceleration of the blades is constant. What is the angular speed after eight revolutions?
Answer:
[tex]\omega_f = 1 rad/s[/tex]
Explanation:
Given,
After two revolutions, angular speed = 0.5 rev/s
Angular speed after 8 revolution = ?
Using equation of circular motion
[tex]\omega_f^2 = \omega_0^2 + 2\alpha \theta[/tex]
[tex]0.5^2 =0^2 + 2\times \alpha\times 2[/tex]
[tex]\alpha = 0.0625 rad/s^2[/tex]
Now, Angular speed after 8 revolution
[tex]\omega_f^2 = \omega_0^2 + 2\alpha \theta[/tex]
[tex]\omega_f^2 =0^2 + 2\times 0.0625 \times 8[/tex]
[tex]\omega_f = 1 rad/s[/tex]
Hence, the angular speed after 8 revolution is equal to 1 rad/s.
The angular acceleration of the fan blades is 0.25 rev/s². Using this constant angular acceleration, the angular speed of the blades after 8 revolutions is calculated to be 2 rev/s.
Explanation:To solve this problem, we use the equation of motion for rotational systems.
Δω = α * Δθ Where Δθ is the change in angle (in rev), Δω is the change in angular speed (in rev/s), and α is the angular acceleration (in rev/s²). Given that the blades have an angular speed of 0.5 rev/s after 2 revolutions, we can solve for α: α = Δω / Δθ = (0.5 rev/s) / (2 rev) = 0.25 rev/s²
Then, knowing this constant angular acceleration, we can find the angular speed after 8 revolutions: Δω = α * Δθ
Δω = (0.25 rev/s²) * (8 rev) = 2 rev/s
So after 8 revolutions, the angular speed of the ceiling fan is 2 rev/s.
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In a parallel portion of a series-parallel circuit, the voltage across the branches can be found by multiplying the sum of the branch currents by the equivalent resistance of the resistors in the parallel portion.True / False.
Answer:
It's true.
Explanation:
It's true. When we connect two resistors in parallel the current is divided between the two in such a way that the sum of the currents on each resistor should be equal to the current on that branch. By finding the equivalent resistance we can use Ohm's law to determine the voltage drop across the resistors. This voltage drop is the same for both, since they're connected in parallel.
This statement is true. In a series-parallel circuit, the voltage across the branches in the parallel portion can be found by multiplying the sum of the branch currents by the equivalent resistance of the resistors in the parallel portion.
Explanation:In a series-parallel circuit, the voltage across the branches in the parallel portion can be found by multiplying the sum of the branch currents by the equivalent resistance of the resistors in the parallel portion. This statement is true.
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A block of mass 2 kg is traveling in the positive direction at 3 m/s. Another block of mass 1.5 kg, traveling in the same direction at 4 m/s, collides elastically with the first block. Find the final velocities of the blocks. How much kinetic energy did the system lose
Answer:
a. The final velocity of the block of mass 2 kg is 3 m/s or 3.86 m/s. The final velocity of the block of mass 1.5 kg is 4 m/s or 2.86 m/s b. The kinetic energy change is 0 J or -12.235 J. Since the collision is elastic, we choose ΔK = 0
Explanation:
From principle of conservation of momentum,
momentum before impact = momentum after impact
Let m₁ = 2 kg, m₂ = 1.5 kg and v₁ = 3 m/s, v₂ = 4 m/s represent the masses and initial velocities of the first and second blocks of mass respectively. Let v₃ and v₄ be the final velocities of the blocks. So,
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄
(2 × 3 + 1.5 × 4) = 2v₃ + 1.5v₄
6 + 6 = 2v₃ + 1.5v₄
12 = 2v₃ + 1.5v₄
2v₃ + 1.5v₄ = 12 (1)
Since the collision is elastic, kinetic energy is conserved. So
1/2m₁v₁² + 1/2m₂v₂² = 1/2m₁v₃² + 1/2m₂v₄²
1/2 × 2 × 3² + 1/2 × 1.5 × 4² = 1/2 ×2v₃² + 1/2 × 1.5v₄²
9 + 12 = v₃² + 0.75v₄²
21 = v₃² + 0.75v₄²
v₃² + 0.75v₄² = 21 (2)
From (1) v₃ = 6 - 0.75v₄ (3) . Substituting v₃ into (2)
(6 - 0.75v₄)² + 0.75v₄² = 21
36 - 9v₄ + 0.5625v₄² + 0.75v₄² = 21
36 - 9v₄ + 1.3125v₄² - 21 = 0
1.3125v₄² - 9v₄ + 15 = 0
Using the quadratic formula,
v₄ = [-(-9) ± √[(-9)² - 4 × 1.3125 × 15]]/(2 × 1.3125)
= [9 ± √[81 - 78.75]]/2.625
= [9 ± √2.25]/2.625
= [9 ± 1.5]/2.625
= [9 + 1.5]/2.625 or [9 - 1.5]/2.625
= 10.5/2.625 or 7.5/2.625
= 4 m/s or 2.86 m/s
Substititing v₄ into (3)
v₃ = 6 - 0.75v₄ = 6 - 0.75 × 4 = 6 - 3 = 3 m/s
or
v₃ = 6 - 0.75v₄ = 6 - 0.75 × 2.86 = 6 - 2.145 = 3.855 m/s ≅ 3.86 m/s
b. The kinetic energy change ΔK = K₂ - K₁
K₁ = initial kinetic energy of the two blocks = 1/2m₁v₁² + 1/2m₂v₂²
= 1/2 × 2 × 3² + 1/2 × 1.5 × 4² = 9 + 12 = 21 J
K₂ = final kinetic energy of the two blocks = 1/2m₁v₃² + 1/2m₂v₄². Using v = 3 m/s and v = 4 m/s
= 1/2 × 2 × 3² + 1/2 × 1.5 × 4² = 9 + 12 = 21 J.
ΔK = K₂ - K₁ = 21 - 21 = 0
Using v = 3.86 m/s and v = 2.86 m/s
K₂ = 1/2 × 2 × 3.86² + 1/2 × 1.5 × 2.86² = 14.8996 - 6.1347 = 8.7649 J ≅ 8.765 J
ΔK = K₂ - K₁ = 8.765 - 21 = -12.235 J
Since the collision is elastic, we choose ΔK = 0
A box weighing 460 N is pushed along a horizontal floor at constant velocity by a force of 270 N parallel to the floor. What is the coefficient of kinetic friction between the box and the floor
Answer:
μ= F÷N
μ= 270/460= 0.587
Explanation:
The friction force always acts in the opposite direction of the intended or actual motion.