A satellite in orbit that moves quickly close to the earth and slowly farther away is not in uniform circular motion .
The movement or motion of a body in a circular direction at a constant speed is known as a uniform circular motion. By taking a tangent at each place of such a body, one may determine the direction of motion.Now based on the choices provided such as ,
A CD in a CD player is rotating and moving circulatory at a steady speed. It is moving consistently in a circle.The speed of the satellite varies in relation to its distance from the earth, therefore it is not moving in a perfect circle.Jet fighters travel in a consistent circular motion since their speed is also predetermined and constant.Therefore, merry-go-round will also be moving uniformly in a circle because of its continuous rotations per minute.
The complete question is here,
Which of the following is not in uniform circular motion? CD in a CD player spinning at 45 rpm orbiting satellite that speeds up near the earth and slows down far away jet fighter making a high-speed loop at 600 m/s merry-go-round that is 10.0 m in diameter and rotating at 2 rpm
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if a projectile travels in the air for 6 seconds when does the projectile reach its highest point
This question deals with projectile motion, which is a motion on both the x-axis and y-axis, simultaneously. The total time of flight of the projectile trajectory is given, while the time to reach the highest point of the projectile is required to be found.
The projectile will reach the highest point in "3 seconds".
The total time of flight of a projectile is the time during which the projectile remains in the air. For a projectile motion that ends up on the same horizontal level, from where it started, the time to reach the highest point, is equal to half of the total time of flight.
In other words, the projectile motion takes the same time, to go from the starting level to the highest point (i.e upward motion), as the time taken to reach the starting level from the highest point (i.e downward motion).
\(t = \frac{1}{2}T\)
where,
t = time to reach the highest point = ?
T = total time of flight = 6 seconds
Therefore,
\(t - \frac{1}{2}(6\ seconds)\)
t = 3 seconds
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Heather and Jerry are standing on a bridge 46 m
above a river. Heather throws a rock straight down with a speed of 14 m/s
. Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance. How much time elapses between the first splash and the second splash?
The time elapsed between the first splash and the second splash is approximately 0.69 seconds.
To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.
We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.
For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).
Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.
Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.
For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.
Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.
To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.
Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.
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Diagrammatic Question: Look at the given picture and give the answer to the following questions: 1. What do you know about this experiment? What types of factors affects the photosynthesis process? a. iii. Write the names of A, B, C, and D. What types of precautions are taken for the experiment? Scientific Learning 14 DEN or vlizo D C B
(i) To show that chlorophyll is necessary for photosynthesis.
ii) Starch test and potassium iodide are mainly used for the test.
iii) Variegated leaf/Coleus leaf (leaf having non-green and green regions)
iv) After performing the starch test, part A turns blue-black with Iodine solution and part B turns brown with the Iodine solution.
Factors that affect photosynthesis
The process of photosynthesis can be influenced by various elements, encompassing:
1. Illumination intensity: The generation of photosynthesis necessitates energy from light; hence, lighting strength is a crucial commodity. Plants possess a limit of tolerance in regards to the luminosity they receive, so excessive or insufficient amounts of light most likely lead to reduced rates of photosynthesis.
2. Levels of Carbon Dioxide: Carbon dioxide plays an essential role as it responds within the process of photosynthesis, making its environmental abundance consequential. Higher carbon dioxide volumes increase photosynthetic velocity while low capacities have a decremental effect on the reaction's rate.
3. Temperature: This chemical recation is quite temperature-sensitive. Elevated temperatures can instigate denaturation of enzymes involved in this intricate process whereas extremely cool conditions decrease reaction celerity.
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the mass of a density bottle is 18.00g when empty 44.00g when full of water, and 39.84g when full up of a second liquid. calculate the density of the liquid where density of water =1000kgm³
The density of the second liquid is 0.812 g/cm³
To calculate the density of the second liquid, we need to use the principle of displacement. The mass of the liquid can be found by subtracting the mass of the empty density bottle from the mass of the bottle filled with the liquid. Therefore, the mass of the liquid is:
mass of liquid = mass of bottle + liquid - mass of empty bottle
mass of liquid = 39.84g + x - 18.00g
where x is the mass of the liquid.
We can now use the density formula, which is:
density = mass/volume
The volume of the liquid is equal to the volume of the density bottle that is filled with the liquid, which can be calculated by subtracting the volume of the empty bottle from the volume of the bottle filled with the liquid. Therefore, the volume of the liquid is:
volume of liquid = volume of bottle filled with liquid - volume of empty bottle
We can now substitute this expression into the density formula to get:
density of liquid = mass of liquid / (volume of bottle filled with liquid - volume of empty bottle)
We know that the density of water is 1000 kg/m³, which is equal to 1 g/cm³. We can use this to find the volume of the liquid by dividing the mass of water by its density:
volume of water = mass of water / density of water
volume of water = 44.00g / 1 g/cm³
volume of water = 44.00 cm³
Now, we can calculate the volume of the density bottle filled with the second liquid by using the principle of displacement:
volume of bottle filled with liquid = volume of water - volume of liquid
volume of bottle filled with liquid = 44.00 cm³ - (39.84g - 18.00g) / 1 g/cm³
volume of bottle filled with liquid = 44.00 cm³ - 21.84 cm³
volume of bottle filled with liquid = 22.16 cm³
Finally, we can substitute these values into the density formula to get:
density of liquid = x / 22.16 cm³
Solving for x, we get:
x = density of liquid x 22.16 cm³
Substituting x back into the mass equation, we get:
mass of liquid = 39.84g + (density of liquid x 22.16 cm³) - 18.00g
Solving for the density of the liquid, we get:
density of liquid = (mass of liquid - 21.84g) / 22.16 cm³
Substituting the given values, we get:
density of liquid = (39.84g - 21.84g) / 22.16 cm³ = 0.812 g/cm³
In conclusion, the density of the second liquid is 0.812 g/cm³. This value is less than the density of water, which means that the second liquid is less dense than water and will float on top of water.
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Please answer this for 15 points please don’t put in a link.
Answer:
c. Double Replacement
Explanation:
As in Double Replacement reaction exchanges the cations (or the anions) of two ionic compounds.
Here, in BaCl2 , Ba has replaced with NO3 to form Ba(NO3)2
and in 2AgNo3 , Ag has replaced with Cl to form 2AgCl.
How does the image make the message in the "Mummy, what happens to us if the bomb drops?" poster more clear?
A. The poster shows a clear picture of a girl having a serious talk with her parents.
B. The poster shows all the supplies needed to survive in picture format.
C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.
D. The poster shows the actual bomb attack.
Answer:
C. The poster provides an emotional picture of a young, innocent girl with a slightly worried expression to make protective feelings.
Explanation:
The girl looks quite worried in the poster. Attached is the image:
A clay ball with a mass of 0.35 kg has an initial speed of 4.2 m/s. It strikes a 3.5 kg clay ball at rest, and the two balls stick together and remain stationary. What is the decrease in kinetic energy of the 0.35 kg ball?
A heavy storm leaves 1 cm of rain on a city 5 km wide and 8 km long on a 2 hour period. How many cm3 of water fell on the city?
Answer: wow that’s hard
Explanation:
A cement block accidentally falls from rest from the ledge of a 84.9-m-high building. When the block is 16.6 m above the ground, a man, 1.90 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way?
The man has at most 3.55 s to get out of the way.
What is kinematic equations?
Kinematics can be defined as a subfield of physics developed in classical mechanics that describes the motion of points, bodies and systems of bodies without considering the forces that cause them to move.
We can solve this problem using kinematic equations.
First, we can find the time it takes for the block to fall from a height of 84.9 m using the formula:
y = 1/2 * g * t^2
where
y is the distance fallen (84.9 m)g is the acceleration due to gravity (9.81 m/s^2) t is the timeRearranging this equation, we get:
t = sqrt(2y/g) = sqrt(2 * 84.9 m / 9.81 m/s^2) = 4.09 s (to two significant figures)
So the block will hit the ground after 4.09 s of falling.
Next, we can find the time it takes for the block to fall from a height of 16.6 m using the same formula:
t = sqrt(2y/g) = sqrt(2 * 16.6 m / 9.81 m/s^2) = 1.41 s (to two significant figures)
So the block will take 1.41 s to fall from a height of 16.6 m to the ground.
The man has to get out of the way before the block falls the remaining distance of (84.9 - 16.6) = 68.3 m. We can find the time it takes for the block to fall this distance using the same formula:
t = sqrt(2y/g) = sqrt(2 * 68.3 m / 9.81 m/s^2) = 3.55 s (to two significant figures)
Therefore, the man has at most 3.55 s to get out of the way.
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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasing at a constant rate of 13.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
(a) Find the emf induced in the loop at the instant when 9.0 s have passed.
(b) Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.
Answer:
a) fem = - 0.0103 V, b) the applied field is in a vertical upward direction, the induced current is clockwise.
Explanation:
a) For this exercise we use Faraday's law
fem = \(- \frac{d \phi}{dty}\)
the magnetic flux is
Ф = B. A = B A cos θ
The bold letters indicate vectors, in this case the direction of the magnetic field and the normal to the circumference is parallel therefore the angle is zero and the cos 0 = 1
fem = - B dA / dt
the area of a circle is
A = π r²
l
et's perform the derivative
dA / dt =π 2r \(\frac{dr}{dt}\)
we substitute
fem = - B 2π r \(\frac{dr}{dt}\)
the circumference of a circle is
L = 2π r
we substitute
fem = - B L ( L )
fem =
Let's find the circumference for the 9 s, let's use a direct rule of proportions
If the circumference changes 13cm at t = 1. how much does it change at t=9s
ΔL = 13cm (9s / 1s) = 117cm
the circumference that is
L = Lo - ΔL
L = 167 - 117
L = 50 cm
let's reduce all magnitudes to the SI system
L = 0.50 m
= 0.130 m / s
calculate us
fem = - 1.00 0.50 0.130
fem = - 0.0103 V
b) the electromotive force induced in the opposite direction to the change of the radius and is decreasing with time, the current follows the direction of the decreased voltage therefore the current is induced in the opposite direction to the change of the magnetic flux.
If the applied field is in a vertical upward direction, the induced current is clockwise.
What is the weight of 5kgs of apples on Earth?
Answer:5kgs
Explanation:
Which is equivalent to three (3) elementary charges?(a) 1.6 x 10-19 C (b) 2.0 x 10-19 C (c) 4.8 x 10-19 C (d) 5.4 x 10-19 C
The value of the elementary charge is
\(e=1.6\times10^{-19}\text{ C}\)We have to find a charge equivalent to 3e.
The charge equivalent to 3e will be
\(\begin{gathered} 3e\text{ = 3}\times1.6\times10^{-19}\text{ C} \\ =4.8\times10^{-19}\text{ C} \end{gathered}\)Thus, the correct option is c.
A projectile is fired straight up with an initial velocity of 40.0 m/s . Approximately how high will the projectile ?
Answer:
it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters
Explanation:
hope it helped
:)
A beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy. What is the beaver’s mass?
A beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy, then the mass is approximately 1.74 kg, and this can be calculated by using the kinetic energy (KE) of an object that is KE = (1/2) ×m × \(v^2\).
KE = (1/2) ×m × \(v^2\).
where m= mass of the object, v=its velocity.
The beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy. Substituting these values into the above equation
45 J = (1/2) ×m × \((2.0 m/s)^2\)
Simplifying this equation:
45 J = (1/2) × m × 4.0\(m^2/s^2\)
45 J = 2 m × 2 \(m^2/s^2\)
45 J = 4 \(m^3/s^2\)
\(m^3\) = 45 J / 4 \(s^2\)
\(m^3\) = 11.25 kg×\(m^2/s^2\)
Taking the cube root of both sides to solve for mass,
m = (11.25 kg×\(m^2/s^2)^(^1^/^3^)\)
m = 1.74 kg (rounded to two decimal places)
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Two students (90.0 kg and 60.0 kg) on roller skates face-to-face push against each other. The 90.0 kg student moves at 5.0 m/s just after their hands lose contact. What is the velocity of the other student?
Given that,
Mass of student 1, m₁ = 90 kg
Mass of student 2, m₂ = 60 kg
Speed of student 1, v₁ = 5 m/s
To find,
The velocity of the other student.
Solution,
Using the conservation of momentum to find the velocity of the other student. Let it is v₂.
\(m_1v_1=m_2v_2\\\\v_2=\dfrac{m_1v_1}{m_2}\\\\v_2=\dfrac{90\times 5}{60}\\\\=7.5\ m/s\)
So, the velocity of the other student is 7.5 m/s.
Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 309 km. If you are standing on the summit, with what initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars
Answer:
The velocity is 2661.5 m/s.
Explanation:
Radius, horizontal distance, d = 309 km
height, h = 25 km
acceleration due to gravity on moon, g =3.71 m/s^2
Let the time taken is t and the horizontal velocity is u.
horizontal distance = horizontal velocity x time
309 x 1000 = u t .... (1)
Use second equation of motion in vertical direction.
\(h = u_yt +0.5 gt^2\\\\25000 = 0 + 0.5\times 3.71\times t^2\\\\t =116.1 s\)
So, put in (1)
309 x 1000 = u x 116.1
u = 2661.5 m/s
mr wang works in a recycling center recyclable materials arrive at the center mixed together workers use magnets separate steel cans from other items which two statements are true about the force between a steel can and a magnet
The force between the magnet and the can is the noncontact force. The attraction between the magnet and the can is a pull. Therefore, option B and C are correct.
What is a magnet?A magnet can be described as a material that produces a magnetic field and this magnetic field is responsible for the properties of a magnet. The properties magnet is such a force that pulls ferromagnetic materials, such as steel, iron, cobalt, etc., towards it.
A permanent magnet can be described as an object made of a material that can be magnetized and creates its own magnetic field. These type of materials are strongly attracted to a magnet, is known as ferromagnetic, and consist of the elements iron, nickel, and cobalt.
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Your question was incomplete, most probably the complete question was,
Mr. wang works in a recycling center recyclable materials arrive at the center mixed together workers use magnets to separate steel cans from other items which two statements are true about the force between a steel can and a magnet:
A) Gravity pushes the can toward the magnet.
B) The force between the magnet and the can is the noncontact force.
C) The attraction between the magnet and the can is a pull
D) The attraction between the magnet and the can is a push.
What do C-microwaves reveal to scientists?
Answer:
Different wavelengths of microwaves (grouped into "sub-bands") provide different information to scientists. Medium-length (C-band) microwaves penetrate through clouds, dust, smoke, snow, and rain to reveal the Earth's surface.
HELP ASAP!
on the screenshot.
A modern electric bicycle achieves a 100 mile range per
charge. To improve battery life, an owner decides they only
want to discharge the battery to 25% of the total capacity. If
they have a commute that is 12 miles round trip, how many
round trips can they make before they need to recharge (given
the 25% limit on discharge depth)?
The remaining battery capacity would be 76%, which is still above the 25% limit on discharge depth.
What is the remaining battery capacity?
If the electric bicycle can go 100 miles on a full charge, and the owner wants to limit the discharge depth to 25%, then they can only use up to 25 miles of the battery's capacity before needing to recharge.
Since the owner's commute is 12 miles round trip, they can make one round trip without depleting the battery more than 25% of its capacity.
Therefore, the owner can make 2 round trips (2 x 12 = 24 miles) before needing to recharge, but they will still have some battery capacity left.
The remaining battery capacity would be (100 - 24)/100 x 100% = 76%, which is still above the 25% limit on discharge depth. So the owner could make a few more round trips before needing to fully recharge the battery.
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what are all the kinds of kinematic equations
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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A small heat engine has an energy input of 1,176 joules, and does 201 joules of work. What is the efficiency of the engine? (round your answer to the nearest whole number percent, but leave off the % symbol)
so, if you calculate it is 13.3%, enter your number as 13.
The efficiency of the engine is 17%.
Given the following data:
Energy input = 1,176 JoulesEnergy output = 201 JoulesTo find the efficiency of the engine:
Mathematically, the efficiency of an engine is calculated by using the formula:
\(Efficiency = \frac{E_O}{E_I}\) × \(100\)
Where:
Eo is the energy output.Ei is the energy input.Substituting the given parameters into the formula, we have;
\(Efficiency = \frac{201}{1176}\) × \(100\)
\(Efficiency = 0.171\) × \(100\)
Efficiency = 17%
Therefore, the efficiency of the engine is 17%.
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A capacitor has plates of area8.89 x 10-4 m2. To create acapacitance of 1.11 x 10-8 F, howfar apart should the plates be?[?][?] × 10¹²¹ m
The capacitance of a capacitor is calculated based on 3 values, area of plates, distance between them and epsilon zero, which is the electric permitivity at vacum.
\(\begin{gathered} C=\frac{A}{d}\cdot\xi0 \\ 1.11\cdot10^{-8}F=\frac{8.89\cdot10^{-4}m^2}{d}\cdot8.854188\cdot10^{-12}F/m \\ d=7.091\cdot10^{-7}m \end{gathered}\)Louis Armstrong ride his bike 55km east time trial in 51 minutes what was his average velocity in KM/min?
Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.
How to determine average velocity?To calculate the average velocity, divide the total displacement by the total time taken. In this case, Louis Armstrong rode his bike 55 km to the east in a time trial lasting 51 minutes.
Average Velocity = Displacement / Time
Displacement = 55 km (since he rode 55 km to the east)
Time = 51 minutes
Average Velocity = 55 km / 51 min
To express the average velocity in km/min, convert the time from minutes to minutes.
1 hour = 60 minutes
Average Velocity = 55 km / 51 min × (1 hour / 60 min)
Average Velocity = 55 km / 51 min × (1/60) hour
Simplifying the expression:
Average Velocity = 1.078 km/min
Therefore, Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.
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A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C.
The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.
1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.For more questions on acceleration
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An electron moves at a speed of 1.0 x 104 m/s in a circular path of radius 2 cm inside a solenoid. The magnetic field of the solenoid is perpendicular to the plane of the electron’s path. Calculate (a) the strength of the magnetic field inside the solenoid and (b) the current in the solenoid if it has 25 turns per centimeter.
Answer:
(a) B = 2.85 × \(10^{-6}\) Tesla
(b) I = I = 0.285 A
Explanation:
a. The strength of magnetic field, B, in a solenoid is determined by;
r = \(\frac{mv}{qB}\)
⇒ B = \(\frac{mv}{qr}\)
Where: r is the radius, m is the mass of the electron, v is its velocity, q is the charge on the electron and B is the magnetic field
B = \(\frac{9.11*10^{-31*1.0*10^{4} } }{1.6*10^{-19}*0.02 }\)
= \(\frac{9.11*10^{-27} }{3.2*10^{-21} }\)
B = 2.85 × \(10^{-6}\) Tesla
b. Given that; N/L = 25 turns per centimetre, then the current, I, can be determined by;
B = μ I N/L
⇒ I = B ÷ μN/L
where B is the magnetic field, μ is the permeability of free space = 4.0 ×\(10^{-7}\)Tm/A, N/L is the number of turns per length.
I = B ÷ μN/L
= \(\frac{2.85*10^{-6} }{4*10^{-7} *25}\)
I = 0.285 A
A hammer strikes a nail with a 10 N force for 0.01 seconds. Calculate the impulse of the hammer.
Answer:
0.1Ns
Explanation:
Impulse is the product of Force and time
Impulse = Force * Time
Given
Force = 10N
Time = 0.01s
Substitute into the formula
Impulse = 10 * 0.01
Impulse = 10 * 1/100
Impulse = 10/100
Impulse = 0.1Ns
hence the impulse of the hammer is 0.1Ns
A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, of them were given multivitamin tablets daily that contained gram of vitamin C and grams of various other vitamins and minerals. The remaining volunteers were given tablets containing grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with multivitamin , , , , , , , , , Treated with vitamin C , , , , , , , , , Suppose that it is known that the population standard deviation of recovery time from the flu is days when treated with multivitamins and that the population standard deviation of recovery time from the flu is days when treated with vitamin C tablets. Suppose also that both populations are approximately normally distributed. Construct a confidence interval for the difference between the mean recovery time when treated with multivitamins () and the mean recovery time when treated with vitamin C only (). Then find the lower limit and upper limit of the confidence interval.
The confidence interval is given as lower interval is -0.77 while The upper interval is 1.67
How to solve for the confidence intervalMultivitamin treatment
n1 is 10
σ1 = 1.8
x21 = 5
vitamin C treatment
n2 = 10
σ2 = 1.5
x2 = 4.55
zα/2 = 1.645
The formula for the confidence interval is given as
(x1 - x2) ± zα/2\(\sqrt{\frac{sd1^2}{n1}+\frac{sd2^2}{n2} }\)
When we input the values we have above we would have
CI = (-0.7688550 , 1.668855 )
The the lower interval is -0.77
The upper interval is 1.67
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Complete questionA random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 10 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 10 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained:
Treated with multivitamin
Days to recover from flu
2.4, 6.4, 9.1, 4.1, 4.6, 6.4, 6.4, 3.2, 6.9, 0.5
Treated with Vitamin C
5.2, 3, 3.6, 5.5, 7.5, 6.7, 1.3, 1.9, 5.3, 5.5
Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the
population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both populations are
approximately normally distributed. Construct a 90% confidence interval for the difference µµ₂ between the mean recovery time when treated with
multivitamins (μ,) and the mean recovery time when treated with vitamin C only (H2). Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?
A scientist makes a model of Earth's water by drawing 100 drops of water, all the same size. How many of the 100 drops represent ocean water?
A.3
B.50
C.75
D.97
Answer:
D
Explanation:
If the water represents the oceans water then you'd would need to calculate how much of earth is water (96.5)