Answer: To find the frictional force and normal force, we need to first find the gravitational force acting on the box, which is equal to its weight. We can find weight by multiplying the mass of the box by the acceleration due to gravity:
Weight = m * g
Weight = 33 kg * 9.8 m/s^2
Weight = 323.4 N
To find the x and y components of the tension force, we can use trigonometry:
Fx = Tension * cos(33°)
Fx = 283 N * cos(33°)
Fx = 237.34 N
Fy = Tension * sin(33°)
Fy = 283 N * sin(33°)
Fy = 154.13 N
Since the box is moving with constant velocity, we know that the net force on the box is zero. Therefore, the frictional force must be equal in magnitude and opposite in direction to the x component of the tension force:
Friction = -Fx
Friction = -237.34 N
The normal force is equal in magnitude and opposite in direction to the y component of the tension force:
Normal force = -Fy
Normal force = -154.13 N
Explanation:
A 230 g air track glider is connected to a string hanging over a frictionless pulley. A 100g mass hangs from the other end of the string. Find the acceleration of each.
Answer:
a= 2.97m/s²
Explanation: mg = (M+m)a, with M the mass of the g
a= 100(230+100)g .
Bumblebees are skilled aerialists, able to fly with confidence around and through the leaves and stems of plants. In one test of bumblebee aerial navigation, bees in level flight flew at a constant 0.40 m/s, turning right and left as they navigated an obstacle-filled track. While turning, the bees maintained a reasonably constant centripetal acceleration of 4.0 m/s2
a) What is the radius of curvature for such a turn?
b) How much time is required for a bee to execute a 90∘ turn?
The turn's radius of curvature is 0.04 meters. A 90 degree turn is completed by the bee in 0.628 seconds on average.
How is the radius of curvature for such a turn determined?The radius of curvature of the turn can be calculated using the centripetal acceleration equation:
a = v² / r
where r is the radius of curvature, v is the speed, and an is the centripetal acceleration. When we rearrange this equation to account for r, we obtain:
r = v² / a
Inputting the values provided yields:
0.04 m is equal to r = (0.40 m/s)2 / 4.0 m/s2.
As a result, the turn's radius of curvature is 0.04 meters.
How long does it take a bee to complete a 90-degree turn?We can use the equation for the circumference of a circle to determine how long it takes the bee to complete a 90-degree turn:
C = 2πr
C/4 = (2πr)/4 = πr/2
The result of substituting the r value we discovered before is:
πr/2 = (π/2) (0.04 m) = 0.063 m
We can divide the distance travelled by the speed to determine the required amount of time:
t = d/v
t = (2πr)/v
When we replace the values we discovered above, we obtain:
t = (2π)(0.04 m) / 0.40 m/s = 0.628 s
As a result, the bee needs about 0.628 seconds to complete a 90-degree turn.
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Which angle (A,B, or C) is the diffraction angle?
B because it’s closest to the center line
As waves come into contact with a barrier or aperture, they experience the phenomenon known as diffraction, which causes them to bend and disperse.
Which diffraction angle has the highest value?Diffracted light has maximum intensities at angles m given by dsinm=m when light is usually incident on a diffraction grating. Thus, the 3rd-order maxima can arise at 90° (or a smaller angle) and there won't be any 4th-order maxima because the maximum angle for diffraction maxima is 90°.
What factors affect angle of diffraction?Light's wavelength determines the amount of diffraction, with longer wavelengths diffracted at a greater angle than shorter ones (in effect, red light are diffracted at a higher angle than is blue and violet light).
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Answer:
it is B
Explanation:
what are some ways that electric fields are simular to magnetic fields
Answer:
Obey inverse square law obey superposition principlelong range forces.linear current source Idl produces magnetic field just as linear charge source produces electric field.pls mrk me brainliest
consider a man of mass 80kg standing 10m from a woman with a mass of 65 kg the attractive gravitational force between them would be ?
please I need a fast verified answer
3.17 x 10^-8 Newtons is the required gravitational force between them.
Determining the gravitational force between objectsThe gravitational force between two objects is given by the formula:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.6743 x 10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of mass of the two objects.
In this case, the masses of the man and the woman are:
m1 = 80 kg
m2 = 65 kg
The distance between them is:
r = 10 m
Plugging these values into the formula, we get:
F = 6.6743 x 10^-11 * (80 kg * 65 kg) / (10 m)^2
F = 3.17 x 10^-8 Newtons
Therefore, the attractive gravitational force between the man and the woman is approximately 3.17 x 10^-8 Newtons.
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in a car race along a straight race course betv,ieen Yaw and Kofi. both staried from rest but Kofi leaves the statiing line 2.00 s after Yaw does. Yav,; and Kofi maintain acceleration of 4.00 m S2 and 5.00 m S·2 respectively.
We can use the following kinematic equations to solve the problem:
v = u + ats = ut + 1/2 at^2v^2 = u^2 + 2asFor Yaw:
a = 4.00 m/s^2
t = time taken by Kofi + 2.00 s (since Yaw started 2.00 s earlier)
s = distance covered by Yaw when Kofi starts
Using the equation s = ut + 1/2 at^2, we get:
s = 0 + 1/2 (4.00) (2.00)^2
s = 8.00 m
For Kofi:
a = 5.00 m/s^2
We want to find the time when Kofi overtakes Yaw, so we can use the equation:
s = ut + 1/2 at^2
Let t be the time taken by Kofi to overtake Yaw. At that time, their positions will be the same, so the distance covered by Kofi will be equal to the distance covered by Yaw plus 8.00 m. Hence,
1/2 (5.00) t^2 = 1/2 (4.00) (t - 2.00)^2 + 8.00
Simplifying and solving for t, we get:
t = 4.00 s
Therefore, Kofi overtakes Yaw after 4.00 s.
To find the distance Kofi travels before he catches Yaw, we can use the same equation:
s = ut + 1/2 at^2
Using t = 4.00 s and a = 5.00 m/s^2, we get:
s = 0 + 1/2 (5.00) (4.00)^2
s = 40.00 m
Therefore, Kofi travels 40.00 m before he catches Yaw.
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in a car race along a straight race course between Yaw and Kofi. both start from rest but Kofi leaves the starting line 2.00 s after Yaw does. Yav,; and Kofi maintain acceleration of 4.00 m S2 and 5.00 m S·2 respectively.
Calculate the time at which kofi overtakes yaw
Calculate the distance kofi travels before he catches yaw.
Challenge: Draw a complex circuit. This circuit should have four light bulbs (two in parallel and
two in series), two switches (one to turn off series lights and one to turn off parallel lights), and
one battery.
The circuit would have one battery with a positive and negative terminal. Connected to the positive terminal would be one switch and then two light bulbs in series. The other end of the two light bulbs in series would be connected to the negative terminal of the battery. Connected in parallel to the two light bulbs in series would be another two light bulbs. The positive end of the first parallel light bulb would be connected to the positive end of the second parallel light bulb. The other ends of both parallel light bulbs would be connected to the negative terminal of the battery. The first switch would be connected to the two light bulbs in series and would turn off only those two light bulbs when switched. The second switch would be connected to the two light bulbs in parallel and would turn off only those two light bulbs when switched.
What is a series connection?In electronics, a series connection refers to a circuit in which the components (such as resistors, capacitors, or light bulbs) are connected end-to-end in a single path, so that the same current flows through each component in turn.
In a series connection, the voltage applied to the circuit is divided among the components according to their individual resistance or impedance values. The total resistance of a series circuit is equal to the sum of the individual resistances of each component.
In a series connection, the total voltage across the circuit is equal to the sum of the individual voltage drops across each component.
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A concave mirror has a focal length of 8.0 cm. A candle is located at a distance of 5.0 cm from the mirror. Calculate the image distance.
A -13.3 cm
B -3.0 cm
C 00.075 cm
D 3.1 cm
The distance of the image from the concave mirror is -13.3 cm. So, A is the correct option.
What is meant by a concave mirror ?Concave mirror is defined as the type of mirror, that has a reflecting surface which is curved inwards. It is also known as converging mirror.
Here,
Focal length of the mirror, f = 8 cm
Distance of the candle from the mirror, u = -5 cm
According to the mirror formula,
1/f = 1/v + 1/u
where v is the image distance.
Applying the values of f and u in the equation,
1/-8 = 1/v + 1/-5
1/v = (1/-8) - (1/-5)
1/v = 1/5 - 1/8
1/v = 3/40
Therefore,
v = 40/3 = 13.33 cm
Image distance, v = -13.3 cm
Hence,
The distance of the image from the concave mirror is -13.3 cm.
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Which of the following ideas provided an important step towards a more complete understanding of blackbody radiation
The following theories contributed significantly to a more full knowledge of black body radiation. Light is made up of separate pieces that must be absorbed together.
What is the cause of black body radiation?A black body is an object that absorbed all radiation falling on it at all wavelengths. When a black body is at a constant temperature, its emission exhibits a temperature-dependent frequency distribution. It emits what is known as black-body radiation.
What exactly is the black body radiation experiment?One of the first experiments that led to quantum mechanics was blackbody radiation. It all started with the basic observation that when you heat a metal, it first turns red, then yellow, and finally white hot as the temperature rises.
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a copper water tank of mass 20 kg contains 150 kg of water at 15°C calculate the energy needed to heat the water and the tank to 55°C
copper shc - 385j/kg
water shc - 4200j/kg
Answer: 25230800 Joules
Explanation: We can treat the copper tank and the water inside as two different objects since they have different specific heats. We will utilize Q=Mcdelta(t) in this problem where M is mass, c is specific heat, and delta t is the change in temperature.
Since we are treating the copper and water separately we can make a Mcdelta(t) for each one of them. This gives us Q=(mass of copper)(specific heat of copper)(delta(t))+(mass of water)(specific heat of water)(delta(t)). The delta t will be the same because both the copper and water are at 15 celsius. Now we just do some calculations.
Q=(mass of copper)(specific heat of copper)(delta(t))+(mass of water)(specific heat of water)(delta(t))
Q=(20)(385)(55-15)+(150)(4200)(55-15)
Q=30800+25200000
Q=25230800 J
This number may seem absurdly high but there is 150 kg of water being heated up which is 150 liters(A LOT!).
Hope this helps!
The diagram below shows three kettles with their powers and the time they take to boil 500cm3 of water. If electricity costs 9p per unit, how much does it cost to boil 500cm3 of water using the 1.4kW kettle?
NOTE IF YOU ARE RIGHT YOU WILL GET A BRAINLY!!
The cost of boiling 500 cm³ of water using 1.4kW kettle is 0.945 p
How do I determine the cost of boiling water using 1.4 KW kettle?We shall begin our calculation by obtaining the energy consumed when using 1.4 KW kettle. This is shown below:
Power (P) = 1.4 KW Time (t) = 4.5 minutes = 4.5 / 60 = 0.075 hoursEnergy (E) =?E = Pt
E = 1.4 × 0.075
E = 0.105 KWh
Finally, we shall determine the cost of boiling the water using the 1.4 KW kettle. Details below
Cost per KWh = 9 pEnergy (E) = 0.105 KWhCost of boiling =?Cost = energy × Cost per KWh
Cost of boiling = 0.105 × 9
Cost of boiling = 0.945 p
Thus, we can conclude that the cost of boiling is 0.945 p
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A highway is to be built between two towns, one of which lies 32.0km south and 72.0km west of the other. What is the shortest length of highway that can be built between the two towns, and at which angle would this highway be directed with respect to due west
The shortest distance that can be travelled by road between the two towns, and at what angle would it face due west is 78.79km and Ф is 23.3°
We can create a right triangle with legs that are 32 km and 72 km apart if we join the tips of the distances from the west and south. The hypotenuse is the unidentified shortest length. The Pythagorean theorem enables us to state that According to the Pythagorean Theorem, The sum of the squares of the lengths of a right triangle's legs equals the square of the hypotenuse's length.
In other words, a² + b² = c² for the triangle depicted below.The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.
This program is frequently employed in building projects and essentially anything that includes right triangles, like as roofs for homes, and soon.
h² = (32 km)² + (72 km)².
h²=1024+5184
h²=6208
h=√6208
h=78.79km
Angle=tan⁻¹(Ф)
so tan(Ф)=32/72
tan(Ф)=0.444
Ф=tan⁻¹(0.444)
=23.3Degrees
H is equal to 78.79 in terms of value. As a result, the shortest length of the route is about 78.79 km and angleФ is 23.3°.
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Write a hypothesis about the pH level of common household solutions based on what you know about their physical and chemical properties. Use the format of "if . . . then . . . because . . .” and be sure to answer the lesson question "How is pH used to determine if a solution is acidic or basic?
The terms "IF" and "THEN" are frequently used when writing the hypothesis. For instance, "I will not pass the test if I don't study." Your variables are reflected in the "if" and "then" lines. A solution is said to be acidic or basic depending on its pH value, which ranges from 7 to 14.
How are acids and bases classified using pH?All compounds fall into one of three categories: basic (pH higher than 7), acid (pH or less 7), or neutral (pH about 7). The pH also indicates how powerful or weak the substance is. For instance, an item with a pH of 8 acts as a weak base, whereas an item with a pH of 3 is a powerful acid.
What is the theory behind the experiment in problem solving?The hypothesis is essentially a prediction of what you believe will occur if you adopt a specific course of action to address an issue. The hypothesis often specifies what will change, what might result from the action, and why you believe the change is necessary.
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The VR(and so IMA) of the inclined plane
The critical fields at 6k at 8k for an alloy are 7.616 & 4.284 Wb/m² resp. Determine the transition temperature and critical field at 0 k temperature?
Answer:
The transition temperature is 0.920 K and the critical field at 0 K is 8.956 Wb/m².
Explanation:
To determine the transition temperature and critical field at 0 K, we need to use the following formula:
Bc(T) = Bc(0)[1-(T/Tc)^2]
where:
Bc(T) = critical magnetic field at temperature T
Bc(0) = critical magnetic field at 0 K
T = temperature
Tc = transition temperature
We have the critical fields at 6 K and 8 K:
Bc(6 K) = 7.616 Wb/m²
Bc(8 K) = 4.284 Wb/m²
We can use these values to find the transition temperature:
7.616 = Bc(0)[1-(6/Tc)^2]
4.284 = Bc(0)[1-(8/Tc)^2]
Dividing the two equations, we get:
7.616/4.284 = [1-(6/Tc)^2]/[1-(8/Tc)^2]
Simplifying the right-hand side:
7.616/4.284 = [(8/Tc)^2 - 1]/[(6/Tc)^2 - 1]
Let x = (8/Tc)^2
Then (6/Tc)^2 = x/64
Substituting into the equation above:
7.616/4.284 = (x - 1)/(x/64 - 1)
Simplifying:
7.616/4.284 = 64(x - 1)/(x - 64)
Multiplying both sides by (x - 64):
7.616/4.284 * (x - 64) = 64(x - 1)
Simplifying:
(x - 64)/(x - 1) = 7.616/4.284 * 1/64
Multiplying both sides by (x - 1):
x - 64 = 7.616/4.284 * 1/64 * (x - 1)
Simplifying:
x = 74.14
Substituting back into (8/Tc)^2 = x:
(8/Tc)^2 = 74.14
8/Tc = ±8.607
Tc = 0.920 K or 0.103 K
Since the transition temperature should be higher than the critical field at 0 K, we choose Tc = 0.920 K.
Now we can use either of the equations for Bc(T) to find Bc(0):
7.616 = Bc(0)[1-(6/0.920)^2]
Bc(0) = 8.956 Wb/m²
Therefore, the transition temperature is 0.920 K and the critical field at 0 K is 8.956 Wb/m².
How to solve it please i need explanation
Answer:
8 N
Explanation:
The net force formula is F = m×a
a = 2 m/s^2, m2 = 4 kg
So, now we can find F:
F = 4 × 2 = 8 N
30 POINTS - the cone moves with simple harmonic motion and it emits
The cone emits a single-frequency sound of 100 Hz and moves in a straightforward harmonic manner. The cone moves a maximum of 2.0 millimetres when it is making a loud sound.
What moves with simple harmonic motion?Simple harmonic motion is a particular type of periodic motion of a body that arises from a dynamic equilibrium between an inertial force that is proportional to the acceleration of the body away from the static equilibrium position and a restoring force on the moving object that is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position.
In mechanics and physics, SHM is sometimes used to refer to this motion. If friction or any other energy dissipation is not present, it leads to an oscillation that is represented by a sinusoid and that lasts indefinitely.
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This discussion will require you to interview and talk to an older family member, parent(s), or someone who knew you intimately during the first two years of your life.
You will first need to read "The Developing Person Through the Life Span 11th Edition" chapters 5, 6, and 7 to prepare to respond to the discussion prompt and to interview and talk to individuals who knew you during the first two years of your life.
Consider the first two years of your life with respect to:
- physical development;
- cognitive development; and
- psychosocial development.
Then take this opportunity to talk to individuals who remember this stage of your development, including
- language development;
- memory skills;
- motor skills;
- early emotions and temperament; and
- early attachment.
And finally, what role did your race, ethnicity, gender, and culture play in your development during your first two years of life, and how you were socialized during those years?
The creation of an individual's ethnic identity also includes their self-categorization Thermodynamics within and psychological ties to their ethnic group (s).
How does a child's social maturation depend on their ethnicity?Children's ethnicity gives them a sense of connection and helps them to understand who there are and where she came from. Nonetheless, ethnicity can cause conflicts between people, and children who belong to a minority ethnic group may grow despite looking less significant in society.
What function does ethnicity serve?They point out that ethnicity, as a scientific term, enables researchers to distinguish between different people-groups based on their lineage, language, customs, philosophy, culture, or country without relying on the physical qualities that are essential to the notion of ethnicity (Atkinson et al., 1998).
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A
consists of a period of non-strenuous activity that slowly
prepares the body for more vigorous exercise.
The period of non-strenuous activity that slowly prepares the body for more vigorous exercise is called a warm-up. A warm-up is an essential part of any exercise routine as it helps to prepare the body physically and mentally for more intense physical activity.
Explain non-strengthening activity that gradually prepares the body for more strenuous exercise?
During a warm-up, the body's muscles, heart, and lungs gradually increase their activity levels, and the body's temperature begins to rise. This gradual increase in activity and temperature helps to reduce the risk of injury and improves performance during more intense exercise.
A typical warm-up can last between 5 to 15 minutes, depending on the intensity of the upcoming exercise. Some common warm-up activities include light aerobic exercises like jogging or cycling, dynamic stretching, and mobility exercises.
It is important to note that a warm-up should not be too strenuous activity , as this can cause fatigue and decrease performance during the main workout. Instead, it should be a gentle and gradual increase in activity level to prepare the body for the upcoming exercise.
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the angle at which sunlight hits earth is different on different parts of the globe. the diagrams show how sunlight hits two places on earth on the same day in winter.
Which two statments are most likely true.
Sunlight reflects off of Earth's curving surface at an angle that crosses the equator. Farther than the equator, sunlight is less concentrated or intense, which results in less warming of the Earth's surface.
Why did the Earth begin to warm up?More carbon dioxide, methane, & nitrous oxide are present in the upper orbit today than they have been in the previous 800,000 years. These releases of greenhouse gases have amplified the greenhouse effect and raised the earth's surface temperature.
When was the planet last noticeably warmer than it is now?Based on paleoclimatic information from fossil records, ice cores, sediments, and other methods of studying Earth's past, Gavin Schmidt, a climate scientist with NASA, estimated that it was approximately 125,000 years ago.
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a frictionless roller coaster is given an initial speed of vi=10.00m/s , at the initial height h=100:00m,has a mass m=1000.0kg
Answer: Using conservation of energy, we can find the final speed of the roller coaster at the bottom of the hill:
Initial energy (at the top) = Potential energy + Kinetic energy
1/2 * m * vi^2 + m * g * h = 1/2 * m * vf^2 + m * g * 0
where m = 1000.0 kg is the mass of the roller coaster, vi = 10.00 m/s is the initial speed, h = 100.00 m is the initial height, g = 9.81 m/s^2 is the acceleration due to gravity, and vf is the final speed at the bottom of the hill.
Simplifying and solving for vf:
vf = sqrt(2 * g * h + vi^2)
Substituting the given values:
vf = sqrt(2 * 9.81 m/s^2 * 100.00 m + (10.00 m/s)^2)
vf = sqrt(1962.2)
vf ≈ 44.3 m/s
Therefore, the final speed of the roller coaster at the bottom of the hill is approximately 44.3 m/s.
Complete the following:
When light is incident parallel to the principal axis and then strikes a converging lens,
A. the light will remain parallel after refracting through the lens
B. the light will remail parallel after refracting backwards from the lens
C. the light will refract through the focal point on the opposite side of the lens
D. the light will refract through the focal point on the same side as the object
Answer:
c
Explanation:
trust
Starting from rest at a height equal to the radius of the circular track, a block of mass 24 kg slides down a quarter circular track under the influence of gravity with friction present (of coefficient μ). The radius of the track is 26 m.
The acceleration of gravity is 9.8 m/s2 .
If the kinetic energy of the block at the bottom of the track is 3700 J, what is the work done against friction?
Answer in units of J.
Answer: The initial potential energy of the block is converted into kinetic energy at the bottom of the track, and some work is done against friction. We can use conservation of energy to find the work done against friction:
Initial potential energy = Final kinetic energy + Work against friction
The initial potential energy is mgh, where m is the mass of the block, g is the acceleration due to gravity, and h is the initial height of the block (which is equal to the radius of the track):
Initial potential energy = mgh = (24 kg)(9.8 m/s^2)(26 m) = 60432 J
The final kinetic energy is given as 3700 J.
Plugging these values into the equation above, we can solve for the work done against friction:
Work against friction = Initial potential energy - Final kinetic energy
= 60432 J - 3700 J
= 56732 J
Therefore, the work done against friction is 56732 J
Explanation:
I hope you can help me with this problem thank you.
Assume the two radii of the thin convex lens surfaces to be equal for each of the two convex lenses used in this experiment and the index of refraction of their glass to be 1.5. From the relationship given in equation, determine the radius of curvature for each of the two thin convex lenses that you need
The radius of curvature for each surface of the thin convex lenses is 4 times the focal length (f).
A convex lens is what?Two spherical surfaces often make up an optical lens. The lens is referred to as a biconvex lens or just a convex lens if those surfaces are curved outwards. These lenses have the ability to focus an outside light beam to a spot on the opposite side by converging it.
Is the convex lens's radius of curvature positive or negative?The radius of curvature is always positive for convex lenses and always negative for concave lenses.
The relationship between the focal length (f), radius of curvature (R), and index of refraction (n) for a thin convex lens is,
1/f = (n - 1) * (1/R1 - 1/R2)
where R1 and R2 are the radii of curvature of the two surfaces of the lens.
Since the two radii of curvature for each of the two convex lenses are equal, we can simplify the equation to:
1/f = (n - 1) * (2/R)
R = radius of curvature for each surface of the lens.
We can rearrange this equation
R = 2 * f / (n - 1)
Substituting the given values of n = 1.5
R = 2 * f / 0.5
R = 4 * f
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Using P = M x V what is the momentum of an object with a mass of 750 kg and velocity of 15 m/s
Answer:
p = 11250 kg·m/s
Explanation:
Explanation:
it goes like this p=MV which is
M=750,V=15
p= 750x15=11250n
State ar Chinese’s principle
Answer:
The three principles are often translated into and summarized as nationalism, democracy, and the livelihood of the people.
Why does nuclear fusion require high temperatures and high densities? (Select all that apply.)
to overcome the repulsive force between the protons
to overcome attractive forces between protons and electrons
because it produces so much energy
because it occurs in the Sun
so there are enough collisions for fusion to occur
They get enough energy and high temperature to break their equal electric repulsion. The strong nuclear force will defeat the electric barrier once the nuclei are nearer & they can fuse as a final result.
Why is nuclear power so powerful?A strong nuclear force can be used in this situation. Meson exchange between nucleons produces the intense nuclear force between them. This conversation is comparable to two persons striking a tennis ball or ping-pong ball back back and forwards continually.
How do nuclear weapons get made?The much more fundamental powerful force, also known as the strong interaction, has a byproduct known as the nuclear force. The quarks—elementary particles that make up protons and neutrons—are bound together by the strong interaction, which is an attractive force.
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ANSWER 5 QUESTIONS FOR 35 POINTS PLS!!!
1. The problem in correlating the rock layers of location D is that there are no clear index fossils that can be used to determine the relative age of the rock layers.
2. Yes, there can be a problem in determining the time span of any rock layers without the use of index fossils. The age of a rock layer can only be estimated by comparing it to the ages of other rock layers in the area, which is done by examining the sequence of the layers and the type of fossils found in them. However, this method only provides a relative age range and not an exact age.
3. While fossils can provide important clues to the relative age of rock layers, they cannot be used to determine the exact age of a layer. This is because the age of a rock layer is determined by the decay of radioactive isotopes in the rock, which is a process that occurs over a long period of time.
4. The feature(s) of the fossils that make them ineffective in dating the relative age of rock layers is that they are not index fossils. Index fossils are usually species that have a widespread distribution and existed for a short period of time, making them useful for dating rock layers over a large area. The fossils listed (clam, nautilus, fusulina, sea urchin, gingko, and snail) may have existed for long periods of time, making them less useful for dating the relative age of rock layers.
What are fossil?Index fossils are distinctive fossils that are used to establish and compare the relative ages of rock layers in different locations. Without index fossils, it becomes difficult to determine which layers are older or younger relative to each other.
The "missing" rock layer could have been eroded away or never deposited in that location. This can occur due to natural processes such as erosion or deposition in a different location, or due to human activity such as mining or excavation. Without the missing layer, it becomes more difficult to accurately date the other rock layers in the area.
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1. What was the problem in correlating the rock layers of location D? Explain.
2. Was there a problem in determining the time span of any rock layers? Explain.
3. Why can't you determine the EXACT age of a layer of rock by simply observing fossils in a rock layer? What constraints you in making this determination?
4. There are fossils in location D that are not index fossils. What feature(s) of these fossils make them ineffective in dating the relative age (as a range of time) of rock layers? Note: The names of the fossils are listed below. What "problem" most likely occurred that led to the missing rock layer? Explain
A washbasin has an exit pipe covered with a play of area 12cm². A chain is attached to the centre of the plug to assist in pulling the plag away from the out hole. The washbasin contains water to a depth of 0.08% -3 The density of water is 1000 kgm.
Answer:
To solve this problem, we need to use the principles of fluid mechanics, specifically Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at different points in a system.
First, we need to find the weight of the water in the washbasin. The volume of water is equal to the area of the base of the basin (assuming it's circular) multiplied by the depth of the water:
V = πr²h
where r is the radius of the basin and h is the depth of the water. Since the depth of the water is given as 0.03m, we need to convert it to meters:
h = 0.03 m
The radius of the basin is not given, so we can't calculate the volume directly. However, we can use the fact that the density of water is 1000 kg/m³ to find the weight of the water:
density = mass/volume
mass = density x volume
The mass of the water is then:
m = density x V
Next, we need to find the pressure at the bottom of the basin, which is equal to the weight of the water divided by the area of the base of the basin:
pressure = weight/area
We can then use Bernoulli's equation to relate the pressure at the bottom of the basin to the pressure at the exit pipe:
pressure + 1/2(density)(velocity²) + density(g)(height) = constant
where velocity is the speed of the water flowing out of the pipe, g is the acceleration due to gravity, and height is the height of the water above the exit pipe.
At the bottom of the basin, the velocity of the water is zero, so the second term on the left-hand side of the equation is zero. Also, since the exit pipe is at the same level as the bottom of the basin, the height term is also zero. Therefore, the equation simplifies to:
pressure = constant
which means that the pressure at the exit pipe is equal to the pressure at the bottom of the basin.
Now we can use the pressure at the bottom of the basin and the area of the exit pipe to find the force required to lift the plug:
force = pressure x area
Finally, we need to convert the force to the weight of the plug, which is given by:
weight = force/g
where g is the acceleration due to gravity.
Putting all of these steps together, we get:
V = πr²h = π(0.06m)²(0.03m) = 3.4 x 10⁻⁴ m³
m = density x V = 1000 kg/m³ x 3.4 x 10⁻⁴ m³ = 0.34 kg
pressure = weight/area = m(g)/area = (0.34 kg)(9.8 m/s²)/(12 x 10⁻⁴ m²) = 2.8 x 10³ Pa
force = pressure x area = (2.8 x 10³ Pa)(12 x 10⁻⁴ m²) = 0.34 N
weight = force/g = 0.34 N/9.8 m/s² = 0.034 kg
Therefore, the weight of the plug is 0.034 kg, or approximately 34 grams.
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