Answer:2:7
Explanation:
Quantity of heat energy before mixing= Quantity of heat energy after mixing
M1. S1.T1+ M2.S2.T2= M.S3.T3
Let, .
M1 = mass of cold water
M2 = mass of hot water
S1=S2=S3=S
M=M1+M2
T1=28,T2=82,T3= 40
M1.28 + M2.82= (M1+M2)40
M1.28 + M2.82= M1 40+M2.40
M2.82 -M2.40= M2.40–M1.28
M2.42= M1. 12
M2/M1= 12/42= 2/7
Or
M2: M1= 2:7
A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the normal force, friction force and the coefficient of sliding friction
To find the normal force, we can use the equation: normal force = weight + friction force * cos(incline angle).
How to find the normal force ?The weight of the object is (4.51 kg) * (9.8 m/s^2) = 44.398 NTo find the friction force, we can use the equation: friction force = coefficient of friction * normal force.We can assume that the friction force is equal to the force of gravity acting against the object because it is moving down the inclined plane at a constant pace. As a result, the friction force is equal to the product of the object's weight and sin (incline angle)Friction force is equal to (9.927 N)*sin(23.0)*(44.398 N)We can use the following equation to determine the coefficient of sliding friction:friction coefficient is calculated as friction force divided by normal force.coefficient of sliding friction = 9.927 N /44.398 N = 0.224Therefore, the normal force is 44.398 N, the friction force is 9.927 N, and the coefficient of sliding friction is 0.224.To know more about normal force , check out :
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The planet Mars has a mass that is 0.11 times Earth’s mass and a radius that is
0.54 times Earth’s radius. a) How much would a 60.0-kg astronaut weigh if
she were to stand on the surface of Mars?
if a referee tosses a basketball in the air and hits the floor, at what point will the ball have no mechanical kinetic energy (hint: this occurs at more than one point)
the ball have no mechanical kinetic energy:
Just before the ball is set in motion in the air. Just after it hits the floor.What is mechanical kinetic energy?This refers to the energy that an object possessed due to its motion or due to its position. It is calculated by getting the product of the mass of the object and its velocity and dividing it by two. It is measured in joules, J.
if a referee tosses a basketball in the air, the ball will not have mechanical kinetic energy:
Just before the ball is set in motion in the air. ( Potential energy that is energy due to an object's position).Just after it hits the floor. ( Potential energy that is energy due to an object's position).Learn more about kinetic energy on
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Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X
The value of x is 0.04m and restoring force is 9 N
(a) From the figure, the spring force balances force due to gravity.
So, [tex]\frac{1}{2} kX^{2} = mg[/tex]
Where, k = spring constant = 50N/m
X = compressed distance = L+x = 0.1+x
m = mass = 50 g = 0.05Kg
g = acceleration due to gravity = 10
Putting these values in above equation, we get: x= 0.04m
(b) Using Hooke's law, F = kx
Where, k = spring constant =50N/m
x = distance = 180mm = 0.18 m
Putting these values in above equation, we get restoring force F = 9N
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Two equally charged pith ball are 3cm apart in air and repel each other with a force of 4X105N - Comput the charge on each bali-
TheThe charge applied on each ball is 2 X 10∧-9 C.
Define force ?
An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The pitch balls repent each other with force
F= 4 X 10^-5N
Let the charge on each ball be Q.
4 X 10^-5= k(Q)(Q) / (3 X 10^-2)^2
Q^2= 4*10^-5X 9*10^-4 / 9*10^9
Q^2 = 4 X 10^-18
Q= √4 X 10^-18
Q = 2 X 10^-9 C.
Therefore, the charge on each ball is 2X10^-9C.
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Each ball has been charged with 2 X 10⁹ C. When a product is held in electrostatic energy, its properties referred to as electric discharge allows it to feel force.
What is force?A force can compel a heavily armored item to increase or modify overall velocity. A push or a pull is a simple and effective method to explain force. That's because a force has both magnitude and direction it is a dimensionless number.
The pitch balls repent each other with force
F = 4 X 10⁻⁵N
4 X 10⁻⁵ = k(Q)(Q) / (3 X 10⁻²)²
⇒ Q² = 4 × 10⁻⁵ X 9 × 10⁻⁴ / 9 × 10⁹
⇒ Q² = 4 X 10⁻¹⁸
⇒ Q = √4 X 10⁻¹⁸
⇒ Q = 2 X 10⁻⁹ C.
Therefore, the charge on each ball is 2 X 10⁻⁹C.
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A 500-mm-long, 16-mm-diameter rod made of a homogenous,
isotropic material is observed to increase in length by 300 mm, and
to decrease in diameter by 2.4 mm when subjected to an axial 12-
kN load. Determine the modulus of elasticity and Poisson's ratio of
the material. [20 marks]
The material has a Poisson's ratio and a modulus of elasticity of 0.25. Y=2G(1+) is the correct relationship between the Young's modulus (Y), the shear modulus (G), and the Poisson's ratio ().
What are elastic modulus and Poisson's ratio?The bulk modulus, also known as the elastic modulus K, is related to the Poisson's ratio; G as the modulus of shear; and E, Young's modulus, by the following (for isotropic solids whose properties are non-directional). The stiffness is measured by the elastic moduli. They are stress-to-strain ratios.
Determine the rod's stress level.
Determine the longitudinal strain by multiplying F A 12 by (0.016) = 59.683 MPa.
Determine the lateral strain by elongating Or 30010-3 = L mm 500 mm = = 0.0006.
-2.410-3 mm 16 mm Elateral = = -0.00015 d Determine the material's young's modulus.
& Long 59.683 MPa 0.0006 E = 99.471 GPa 100 GPa
Determine the material's poisson's ratio. & the lateral lengthens by -0.00015 0.0006 = 0.25.
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An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.
The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.
Why is Supreme renowned?In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.
Why is Supreme so expensive?Rebellious and distinctive brand image! Despite giving a venture - capital group a 50% ownership in the company, Supreme has been able to keep its skater roots and fan base. To top it all off, the Supremes' emblem is distinctive, outstanding, and simple to recognize.
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a three tiered birthday cake rests on a table. From the bottom to the top, the cake tiers weigh 15 N, 8N, and 6N, respectively. What is the magnitude and direction of the normal force acting on the base of the seconf tier
The normal force on the second tier of the cake is 14N. It is the sum of the weight of the last and the second tier of the cake.
What is Normal force?The normal force is the force which the surfaces exert to prevent solid objects from passing through each other. Normal force is a contact force. If two objects or surfaces are not in contact, they cannot exert a normal force on each other.
Fₙ = mg
Fₙ = Normal force
Fₙ on the second tier is the sum of the first and second tier of the cake is:
Fₙ = 8N + 6N
Fₙ = 14N
The normal force on the second tier is 14N.
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A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the force of gravity and the parallel component of gravity along with the perpendicular component.
The force of gravity is 103.73N and the parallel component of gravity is 40.45N along with the perpendicular component is 95.43N.
How strong is the force of gravity?The gravitational force, which pulls mass-containing objects in the same direction, is the force of gravity. The force of gravity from Earth is something we consider frequently. Your body is held firmly in place by this force. However, every mass-bearing object pulls everything else with mass toward it through gravity.
The force of gravity F = ma
F = 4.51×23
F = 103.73N
F parallel component = F sinθ
F parallel = 103.73 sin 23°
F parallel = 103.73 × 0.390
F parallel = 40.45N
F perpendicular component = F cosθ
F perpendicular = 103.73 × cos 23°
F perpendicular = 103.73 × 0.920
F perpendicular = 95.43N.
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A hairdryer has a power of 1000W and was used for half an hour, how much did it cost with the energy price being 14p/kWh?
Answer:
12hp and 132 ml
Explanation:
12+ 132.00=12asd
Explained Kepler's laws, satellites motion and weightlessness
please answer fast it doesn't have to be long please :)
Juan drives his car around a curve at a speed of 17.0 m/s. Assume the curve can be approximated by an arc of a circle of radius 122.0 m. If a force of 7380 N is required to maintain the car’s circular motion, what is the car’s mass?
The mass of the car moving with a velocity of 17 m/s is 3115.4 kg.
What is mass?Mass is the quantity of matter a body contains. The S.I unit of mass is kilogram
To calculate the mass of the car, we use the formula below
Formula:
m = Fr/v²...................... Equation 1Where:
m = Mass of the carF = Forcer = Radiusv = VelocityFrom the question,
Given:
F = 7380 Nr = 122 mv = 17 m/sSubstitite these values into equation 1
m = (7380×122)/17²m = 3115.4 kgHence, the mass of the car is 3115.4 kg.
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convert 22.0m/s² to km/min²
22.0m/s² is equal to 78.98 km/min². Since 1 m/s² = 3.59 km/m². If we multiply 22 by this number, we get the accurate answer, according to the conversion table.
What is the acceleration unit in the SI?Acceleration is measured in meters per second2 (m/s2). Newton's Second Law, which states that "The acceleration of an object is exactly proportional to the net force acting on it and inversely proportionate to its mass," connects force (F), mass (m), and acceleration (g).
The SI unit is what?The Système International unit, or SI unit, is an acronym for the French phrase for system international. The metric system that serves as the industry standard for measurements is called the International System of Units (SI). In the advancement of science and technology, SI units are essential.
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Which one of the following statements about velocity is true?
O Velocity is the magnitude of speed.
O Velocity is the displacement of an object divided by the time interval.
O Velocity describes how fast an object is changing speed.
O Speed and velocity refer to the same vector quantity.
Answer:
Velocity is the displacement of an object divided by the time interval.
Explanation:
Let's consider each choices:
1. Velocity is not the magnitude of speed. Velocity is a vector quantity which means it consists of both direction and magnitude. Speed is the magnitude of velocity, not the other way around.
3. Velocity describes how fast an object is changing speed. If a speed changes each time interval, that is not a velocity but rather the magnitude of acceleration. Magnitude of acceleration is change in speed over time. Acceleration is the one that describes how velocity is changing through time.
4. Speed and velocity refer to the same vector quantity. Speed is not a vector quantity but a scalar quantity which only has magnitude. Speed is also considered as the magnitude of velocity as well.
Therefore, the only correct choice is 2. Velocity is the displacement of an object divided by the time interval. This is true since velocity is change in position (displacement) over time.
what energy transformation is preformed by a radio
Answer:
Chemical energy to sound energy to heat energy
Q.2. Assertion: When distance between two bodies is doubled and also mass of each body is doubled. then the gravitational force between them remains the same. Reason: According to Newton's law of gravitation, force is directly proportional to the product of mass of the two bodies and inversely proportional to square of the distance between them. ent to
Answer:
True:
F1 = G M1 M2 / R^2
F2 = G (2 M1) * (2 M2) / (2 R)^2
F1 = F2
A block moving at a velocity of 18 m/s along a frictionless surface encounters a rough area with which it does have a coefficient of friction. It moves along this rough area for 30 meters before slowing to a speed of 6 m/s. Find the coefficient of kinetic friction between the block and this rough surface.
The coefficient of kinetic friction between the block and the rough surface is -0.6.
What is kinetic friction?Kinetic friction is a type of friction that occurs when two objects are in contact and moving relative to each other. It is also known as sliding friction or dynamic friction. Kinetic friction is caused by the interaction of the two surfaces as they move against each other. The force of kinetic friction acts in the opposite direction of the motion of the two objects and is proportional to the normal force between them. The coefficient of kinetic friction is a measure of the amount of friction between two surfaces and is determined by the materials of the two surfaces.
The coefficient of kinetic friction can be found using the equation:
μk = (vf - vi) / (d * a)
where μk is the coefficient of kinetic friction, vf is the final velocity, vi is the initial velocity, d is the distance traveled, and a is the acceleration due to gravity (9.8 m/s2).
Plugging in the given values, we get:
μk = (6 - 18) / (30 * 9.8)
μk = -0.6
Therefore, the coefficient of kinetic friction between the block and the rough surface is -0.6.
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a) What is the magnitude of the force F⃗ on the −10 nC charge in (Figure 1)? Express your answer using two significant figures.
b) What is the direction of the force F⃗ on the −10 nC charge in (Figure 1)? Give your answer as an angle measured cw or ccw (specify which) from the +x-axis. Express your answer in degrees. Enter a positive value if the angle is counterclockwise and negative value if the angle is clockwise.
a) The magnitude of the force F on the −10 nC charge is 0.00134 Newton.
b) The direction of the force F on the −10 nC charge is 41.99° with horizontal line.
What is electric force?Electric force is the attractive or repulsive interaction between any two charged things.
a) the magnitude of the force F on the −10 nC charge = √{k (q₁Q/r₁²)²+(q₂Q/r₂²)²}
= kQ √( (q₁/r₁²)²+ (q₂/r₂²)²}
= 9×10⁹×10×10⁻⁹ √{ (1×10⁻⁹/(0.01)²)² +(10×10⁻⁹/(0.03)²)² }
= 0.00134 Newton.
b) the direction of the force F on the −10 nC charge
= tan⁻¹( (1×10⁻⁹/(0.01)²) ÷(10×10⁻⁹/(0.03)²) )
= 41.99°
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Which variable can be measured with a weighing balance?
Answer:
ratio variables
Ratio scale of measurement
Weight, height and distance are all examples of ratio variables. Data in the ratio scale can be added, subtracted, divided and multiplied. Ratio scales also differ from interval scales in that the scale has a 'true zero'. The number zero means that the data has no value point
The Earth wire only carries a current if there is a _____ in the
circuit. What one word completes the sentence?
Answer:
Fault
Explanation:
it only carries a current if there is a fault.
A 42 kg cart is pushed forward with a total force of 225 Newtons. What is the work done if the cart moves forward 12 meters
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]m=42kg[/tex]
[tex]F=225N[/tex]
[tex]d=12m[/tex]
[tex]w=Fd[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=225\times12[/tex]
__________________________________________________________
[tex]\fbox{w = 2700 Joules}[/tex]
Explain why a solid has a definite shape
and volume.
6. How does the arrangement of atoms in most
solids differ from the arrangement of atoms in
a liquid?
According to the given statement Atoms in solids vibrate motionless, whereas atoms in fluid move.
Where are atoms found?Everything, that's correct. Matter includes all liquids, solids, sand, plants, animals, and clouds. The building components of matter are called atoms. All stuff is made up of numerous atoms, like how this house is built of many bricks. Because they are not living entities, atoms don't require food, water, or oxygen, and they can't procreate.
Can you kill an atom?The law of energy conservation states that matter cannot be generated or destroyed. As a result, an atom could be destroyed or divided into smaller particles. The electron, proton, the neutron are the three fundamental particles that make up an atom.
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Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Springs are elastic devices used to absorb shock, store energy, and provide support in a variety of applications.
1- The distance the spring is stretched from its equilibrium position is x = 180 - 100 = 80 mm. This can be converted to meters by dividing by 1000, so x = 0.08 m.
2- The restoring force of the spring can be calculated using Hooke's law, which states that F = kx, where F is the restoring force, k is the spring constant, and x is the distance the spring is stretched from its equilibrium position. In this case, F = 50 N/m × 0.08 m = 4 N.
What is Hooke's law?
Hooke's law is a basic law of physics that states that the force applied to a spring is proportional to the amount of displacement (or stretching) of the spring. In other words, the more you stretch a spring, the more force is needed to keep it stretched. This law is expressed mathematically as F = -kx, where F is the force, k is a constant known as the spring constant, and x is the displacement.
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At what separation will two charges, each of magnitude 6.0 μC, exert a force of 0.70 N on each other?
At separation of 1470 meters, the two charges exert a force of 0.70 N on each other.
What is electric force?Electric force is the interaction between any two charged objects that can be either attractive or repelling. Newton's rules of motion, which apply to all forces, explain how each one affects the target body and how it does so. The electric force is one of the many forces that operate on objects.
We know that electric force can be mathematically defined as:
F = kQq/r²
0.70 = 9.0 × 10⁹ × (6.0×10⁻⁹)²/r²
r = 1.47 meter.
Hence, the separation between two charges is 1.47 meters.
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How does heat transfer?
calculate the maximum capillary rise of water to be expected a, in a vertical glass tube 1mm in diameter b, in between tow concentric glass tubes of radii 4 and 5 mm. take 6=0.0733n c, in between two vertical parallel.clean glass plates spaced a distance of 2mm apart.
The maximum capillary rise of water to be expected in the vertical glass tube is 15 mm.
What is capillary rise?The process of a liquid flowing in a small area without the aid of, or even in opposition to, any outside forces like gravity is known as capillary rise.
The effect can be observed in a biological cell, in a thin tube, in porous materials like paper and plaster, in some non-porous materials like sand, liquid carbon fiber, and some other porous materials.
The maximum capillary rise of water = 4σcosθ/ρgd
= ( 4 × 0.0733 × cos0°)/(10³ × 9.81 × 2 × 10⁻³) meter
= 0.015 meter
= 15 mm.
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A longitudinal wave is shown. An illustration of a horizontal spring. In the spring are areas where the rings are closer together and areas where the rings are further apart. The area where the rings are closer together is labeled A, the area where the rings are further apart is labeled B, the height of the spring is labeled C and the distance between adjacent areas where the rings are closer together is labeled D. Which label identifies a rarefaction? A B C D
Answer:
Explanation:
The label that identifies a rarefaction in a longitudinal wave is B.
In a longitudinal wave, such as a wave in a spring, a rarefaction is an area where the particles of the medium are farther apart than they are in the rest of the wave. This is in contrast to a compression, which is an area where the particles of the medium are closer together than they are in the rest of the wave.
In the given illustration, the area where the rings are further apart is labeled B, so B is the label that identifies a rarefaction. The area where the rings are closer together, labeled A, is a compression. The height of the spring, labeled C, does not correspond to a rarefaction or a compression, and the distance between adjacent areas where the rings are closer together, labeled D, is not related to the concept of rarefactions or compressions.
Answer:
wavelength - C
rarefractions - B
compressions - A
Explanation:
correct on EDGE 2023
The ocean’s tides are not only affected by the shape of the coastlines, or slope of the ocean floor, but also by the gravitational tug of the Sun and the Moon. Write a 600 word report on the effect of the Moon, and Sun, on tidal reaction, and high tides and low tides. What orientation are the Sun and Moon in to create high tides? Low tides? There are two special types of tides. What are they called and what positions are the Sun and the Moon in during these times?
The shape of the coastlines and the slope of the ocean floor, as well as the gravitational pull of the Sun and Moon, all have an impact on the tides of the ocean.
What are tides?Tides are extremely long-period waves that travel across the water as a result of the moon's and the sun's gravitational pull. The rise and fall of the sea's surface on a regular basis is what tides, which originate in the ocean, appear as as they move toward the coastlines.
High tide is when the wave's highest portion, or crest, reaches a specific area; low tide is when the wave's lowest portion, or trough, reaches that location. The term "tidal range" refers to the height difference between high tide and low tide.
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Synthetic pesticides and fertilizers were used extensively during the Green Revolution, but the negative health and environmental impacts were not well-known since the effects added up over time.
True
False
(True) Synthetic pesticides and fertilizers were used extensively during the Green Revolution, but the negative health and environmental impacts were not well-known since the effects added up over time.
what are Synthetic pesticidesChemicals created by humans, synthetic pesticides are meant to kill or deter pests. They are mostly utilized in agriculture, although they are also employed in other fields of endeavor and in household settings. In the 1930s, synthetic pesticides were first used in the United States of America (USA).
Chemicals known as synthetic pesticides are employed to manage and control plant pests like weeds, insects, and/or fungal infections.
Danger synthetic pesticidesHuman health problems associated with exposure to synthetic pesticides include
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Earth's gravitational
attraction
vanishes at
force of
force
(a) 6400 km (b) infinity
(c) 42300 km
(d) 1000 km
Answer:
b> infinity
Explanation:
i think b is the correct one
Answer:
(B) Infinity
Explanation:
Gravity can basically never become zero except hypothetically at infinity.