Answer:
Heterogeneous Mixture
Explanation:
Heterogeneous by definition is when two different substance are mixed together, but they are not evenly distributed. In this case, the salad dressing is a Heterogeneous Mixture, for the dressing does not mix completely evenly throughout the salad.
~
How far does a car move when it travels 60mph for 4hours?
Answer: 240 miles
Explanation: 60 times 4 is 240
may i get a brainliest or no? haven't got one in a while
A wire 25.2 cm long is at right angles to a
0.219 T uniform magnetic field. The current
through the wire is 6.04 A.
What is the magnitude of the force on the
wire?
Answer in units of N.
The magnitude of the force on the wire is 0.33 N
Explanation:
Whenever a current-carrying electrical wire is placed during a field of force, a force is exerted on the wire. The formula for force depends on length(m), current(I) and magnetic field(B).
The length vector depends on the direction of the present flow. The unit of force is Newtons (N), the unit of current is Ampere (A), the unit of length is the meter (m), and therefore the unit of the field of force is Tesla (T). The direction of the force vector will be found mistreatment the "right-hand rule".
The magnitude of force = (current)*(magnetic field)*(length)
= (6.04) * (0.219) * (0.252) = 0.33 N
If a car is traveling at an average speed of 60 kilometers per hour, how long does it take to travel 12 kilometers?
a. 0.2 hour b. 0.5 hour c. 0.72 hour d. 5.0 hours
Answer: 0.2 hour
Explanation:
Speed = Distance / Time
Time = Distance / Speed
= 12/60
= 0.2 hour
The travel time for 12 kilometers at an average speed of 60 kilometers per hour, divide the distance by the speed, resulting in 0.2 hours, which is option (a).
If a car is traveling at an average speed of 60 kilometers per hour, to calculate how long it takes to travel a certain distance, you can use the formula: time = distance/speed.
To find out how long it takes to travel 12 kilometers:
Time = Distance/ Speed
= 12 km/60 km/h
= 0.2 hours
Therefore, the correct answer is (a) 0.2 hours.
8
car traveling at 120 km/h towards West makes a right turn and travels north without
changing its speed.
120 km/h
120 km/h
Using a vector diagram, find the magnitude and direction of the resultant velocity of the car.
Answer:
The resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.
Explanation:
Considering west direction along negative x-axis and north direction along positive y-axis
Given:
The car travels at a speed of 120 km/h in the west direction.
The car then travels at the same speed in the north direction.
Now, considering the given directions, the velocities are given as:
Velocity in west direction is, [tex]\overrightarrow{v_1}=-120\ \vec{i}[/tex]
Velocity in north direction is, [tex]\overrightarrow{v_2}=120\ \vec{j}[/tex]
Now, since [tex]v_1\ and\ v_2[/tex] are perpendicular to each other, their resultant magnitude is given as:
[tex]|\overrightarrow{v_{res}}|=\sqrt{|\overrightarrow{v_1}|^2+|\overrightarrow{v_2}|^2}[/tex]
Plug in the given values and solve for the magnitude of the resultant.This gives,
[tex]|\overrightarrow{v_{res}}|=\sqrt{(120)^2+(120)^2}\\\\|\overrightarrow{v_{res}}|=120\sqrt{2} = 169.71\ km/h[/tex]
Let the angle made by the resultant be 'x' degree with the east-west line or the x-axis.
So, the direction is given as:
[tex]x=\tan^{-1}(\frac{|v_2|}{|v_1|})\\\\x=\tan^{-1}(\frac{120}{-120})=\tan^{-1}(-1)=-45\ deg(clockwise\ angle\ with\ the\ x-axis)[/tex]
Therefore, the resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.
Identify and define the four major forms of matter, explain how melting, freezing, boiling,
evaporation, condensation, sublimation and deposition affect them.
There are four forms of matter: Solid, Liquid, gas and Plasma and matter undergoes various state changes termed as melting, freezing, boiling, evaporation, condensation, sublimation and deposition.
Explanation:
Solids
A matter that have a definite shape because of its closely packed molecular structure; are known as Solids. It can be identified as they have a definite shape and cannot flow or float without external forces are applied.
Liquids
These have a an internal molecular structure with comparatively more spaces with one another. Liquids have a property to flow and change shape according to the container it is taken.
Gases
The internal molecular structure of gases has the widest range of space among one another and thus they have a floating property because of least density.
Plasma
A complete ionized gas which has equal amount of positively and negatively charged ions. The best example of plasma is a plasma-ball.
Phase transformation among the four forms of matter
Melting
A matter changing from a solid phase to liquid phase is known as melting. Ex: Ice into water
Freezing
A matter changing from liquid to solid is known as freezing.
Boiling
When the liquid is heated to its boiling point, this gets transformed into the state of gas where liquid's pressure equals to the external pressure.
Evaporation
Once the liquid reached the temperature range above the boiling point ad starts converting into vapours or gaseous state.
Condensation
When the gases changes from the gaseous phase to liquid phase, this is called condensation.
Sublimation
The change of solid into gas is called as sublimation.
Deposition
Deposition refers the thermodynamic process where phase transition takes place as the gas solidifies without passing through the liquid phase. An example: the process of converting water vapour from frozen air directly into ice without initially becoming a liquid.
The motion of roller coasters depends upon the conversion of potential and kinetic energy. A 100-kg car starts from rest at the top of a hill with a height of 50 m. Which of the following is this car's kinetic energy at the bottom of the hill?
Answer:
K=49,000 Joule
Explanation:
Kinetic and Gravitational Potential Energy
The principle of conservation of the mechanical energy states that the mechanical energy of a system of particles remains unaltered unless some external non-conservative forces acting on the system.
The total mechanical energy present in the roller coasters is the sum of their kinetic and gravitational potential energies:
[tex]\displaystyle ME=\frac{m.v^2}{2}+m.g.h[/tex]
If the roller coaster decreases its height, the speed will increase and compensates for the loss of potential energy. If the roller coaster increases its height, it will go slower and eventually stop until running out of kinetic energy.
We know the car starts from rest at the top of the hill of 50 m. This implies that the mechanical energy is
[tex]\displaystyle ME=\frac{100.0^2}{2}+100.(9.8).(50)=49,000\ J[/tex]
When it reaches the bottom of the hill, the potential energy is zero, thus the car has only kinetic energy.
Kinetic energy at the bottom = 49,000 Joule
The roller coaster's potential energy at the top of the hill is converted to kinetic energy at the bottom. Assuming no energy losses, the car's kinetic energy at the bottom is 49050 J, equal to the potential energy it had at the top.
Explanation:Understanding Energy Conservation in a Roller Coaster
The question addresses the principle of energy conservation in physics, particularly as it pertains to a roller coaster's movement. When the roller coaster is at the top of a hill, it possesses a maximum amount of gravitational potential energy due to its position. As it descends, this potential energy is converted into kinetic energy, which is dependent on the mass and velocity of the coaster car. To find the kinetic energy at the bottom of the hill, we can use the equation KE = ½mv², where m is mass and v is velocity.
To determine the kinetic energy at the bottom, we first need to calculate the potential energy at the top. The potential energy (PE) can be found using the formula PE = mgh, where g is the acceleration due to gravity (approximately 9.81 m/s² on Earth) and h is the height. For a roller coaster car with a mass of 100 kg at a height of 50 m, the potential energy is PE = 100 kg × 9.81 m/s² × 50 m, which equates to 49050 J (joules). Assuming no energy is lost to friction or air resistance, this potential energy will be entirely converted into kinetic energy at the bottom of the hill.
Thus, the car's kinetic energy at the bottom equals the potential energy at the top, which is 49050 J.
get it right and win a brilliant
In Newton’s third law, the action and reaction forces _____.
A.)cancel each other out
B.)act on the same object
C.)add together to double the force
D.)act on different objects
In Newton's third law, the action and reaction forces D.)act on different objects
Explanation:
Newton's third law of motion states that:
"When an object A exerts a force on object B (action force), then action B exerts an equal and opposite force (reaction force) on object A"
It is important to note from the statement above that the action force and the reaction force always act on different objects. Let's take an example: a man pushing a box. We have:
Action force: the force applied by the man on the box, forwardReaction force: the force applied by the box on the man, backwardAs we can see from this example, the action force is applied on the box, while the reaction force is applied on the man: this means that the two forces do not act on the same object. This implies that whenever we draw the free-body diagram of the forces acting on an object, the action and reaction forces never appear in the same diagram, since they act on different objects.
Learn more about Newton's third law of motion:
brainly.com/question/11411375
#LearnwithBrainly
Answer:Act on different objects
Explanation:
The acceleration from gravity on the moon is 1.6 m/s. How much less force
would you apply standing on the moon?
Answer:
We use the relationship F = m x a, adapted for Weight: W = m x g
Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of space suit. Your weight on the Moon would be 100 kg x 1.62 m/s^2 = 162 Newtons (weight force).
On Earth that would be a Weight of 100 kg x 9.81 m/s^2 = 981 Newtons.
Explanation:
The weight on the moon will be 162 Newtons.
What is weight?The force exerted on an object by gravity is known as the weight of the object in science and engineering. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
A force is an influence that has the power to alter an object's motion. 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.
We use the relationship F = m a, adapted for Weight: W = mg
Weight is the force, m is the mass and g is the acceleration of gravity. Take an example: you are 100 kg made up of 70 kg of body mass and 30 kg of a space suit.
Your weight on the Moon would be 100 kg x 1.62 m/s²= 162 Newtons (weight force).
On earth that would be a Weight of 100 kg x 9.81 m/s² = 981 Newtons.
Therefore, the weight on the moon will be 162 Newtons.
To know more about weight follow
https://brainly.com/question/2337612
#SPJ2
What is 52,427 equal in scientific notation
Answer: 5.2427 x [tex]10^{4}[/tex]
Explanation: To write a number in scientific notation, first write a decimal point in the number so there is only 1 digit to the left of the decimal point.
So here, we have 5.2427 and notice that there is only 1 digit to the left of the decimal point. Next, we count the number of places the decimal point would need to move to get back to the original number 52,427.
Since we would need to move the decimal point 4 places to the right, we have an exponent of positive 4.
Now, Scientific notation is always expressed as a number times a power of 10. So in this case we have 5.2427 x [tex]10^{4}[/tex].
So 52,427 can be written in scientific notation as 5.2427 x [tex]10^{4}[/tex].
You can write 52,227 as 5.2427×10-⁴
How much energy is received by earth per second per unit area ?
Answer:
The approximate average value cited, 1.3608 ± 0.0005 kW/m², which is 81.65 kJ/m² per minute, is equivalent to approximately 1.951 calories per minute per square centimeter, or 1.951 langleys per minute.
Explanation:
A block of wood is found to have the dimensions of 6.21 cm x 4.63 cm x 5.34 cm. Calculate the volume of the block.
*Apparently its not 153.54 cm^3, so I need the right answer.*
The volume is [tex]153.54 cm^3[/tex]
Explanation:
The volume of the block, assuming it is a parallelepided, is given by
[tex]V=L\cdot W \cdot H[/tex]
where
L is the length
W is the width
H is the height
For the block in this problem, we have
L = 6.21 cm
W = 4.63 cm
H = 5.34 cm
Therefore, the volume is
[tex]V=(6.21)(4.63)(5.34)=153.54 cm^3[/tex]
Learn more about volume and density:
brainly.com/question/5055270
brainly.com/question/8441651
#LearnwithBrainly
BRAINLIST | Why are there some areas of the country where solar power is not the best option?
The reasons for solar power not being best option for some areas of country are mentioned below.
Explanation:
1. The semiconductors used are expensive and need clean environment.
2. Hard to build, install and maintain.
3. Not all areas recieve enough sunlight to make use of solar panels efficiently.
4. Not all areas have sufficient space for installation.
5. Some areas may use cheaper alterantives to generate power.
6. Not helpful on a rainy or foggy day so weather conditions of the area are a major factor.
A load of mass 5kg is raised through a height of 2m. calculate the work done against (g=10mls)
The work done against gravity is 100 J
Explanation:
The work done against gravity in order to lift an object is equal to the change in gravitational potential energy of the object:
[tex]W=mg\Delta h[/tex]
where
m is the mass of the object
g is the acceleration of gravity
[tex]\Delta h[/tex] is the change in height of the object
For the object in this problem, we have:
m = 5 kg
[tex]g=10 m/s^2[/tex]
[tex]\Delta h = 2 m[/tex]
Substituting into the equation,
[tex]W=(5)(10)(2)=100 J[/tex]
Learn more about work:
brainly.com/question/6763771
brainly.com/question/6443626
#LearnwithBrainly
any object that attracts iron is a(n)
Explanation:
Any object that attracts iron is called as Magnet .
Magnet
It is an object which attracts pieces of iron, steel etc towards itself.
Magnets made are of diff. shapes like :
Bar magnet- long rectangular piece of magnet
Horse shoe shaped- U shaped magnet
Magnetic needle
Magnetic compass :
Some facts about magnets:-
• When magnet is freely suspended it always align towards north-south direction
• Like poles always repel & opp. poles attract each other.
• Magnet always exist as dipole
• Two poles can never be separated : if we try to cut it then still both the poles will exist even ina small piece of magnet .it automatically develops the lost polarity
Magnet always develop certain area around it where its effect can be felt ie. magnetic field.Which list gives the proper sequence of energy changes that occur in a hydroelectric plant? The mechanical energy of the turbine rotates the generator parts The turbine blades capture the kinetic energy of the water Electrical energy is transferred via power lines The generator produces electrical energy Electrical energy is transferred via power lines The turbine blades capture the kinetic energy of the water The generator produces electrical energy The mechanical energy of the turbine rotates the generator parts The generator produces electrical energy The mechanical energy of the turbine rotates the generator parts The turbine blades capture the kinetic energy of the water Electrical energy is transferred via power lines The turbine blades capture the kinetic energy of the water The mechanical energy of the turbine rotates the generator parts The generator produces electrical energy Electrical energy is transferred via power lines
Answer:
The turbine blades capture the kinetic energy of the water The mechanical energy of the turbine rotates the generator parts. The generator produces the electrical energy that is then transferred via power lines
Explanation:
Hydroelectric Plant
It's widely used to transform potential gravitational energy of the water located at a higher height into electrical energy. A dam is constructed in the potential location of the power plant, so all the water is directed to the turbines at a lower level from the face of the water. This water enters a set of pipes that send the stream to the turbines, whose blades are moved by the water, capturing its kinetic energy. The turbine now has enough mechanical energy to have the generation system moving and transform mechanical into electrical energy. That electric energy is finally sent to the consuming centers through power lines.
Thus, the correct sequence is:
The turbine blades capture the kinetic energy of the water The mechanical energy of the turbine rotates the generator parts. The generator produces the electrical energy that is then transferred via power lines
Answer:The turbine blades capture the kinetic energy of the water
The mechanical energy of the turbine rotates the generator parts
The generator produces electrical energy
Electrical energy is transferred via power lines
Explanation:
bc I just took the k12 test
Energy of motion is also known as
a. work
b. potential energy
c. kinetic energy
d. total mechanical energy
Answer:
kinetic energy
Explanation:
before energy is put in motion its being stored as potential energy then becomes kinetic once its released
Kinetic energy is the energy of motion possessed by an object.
Explanation:The energy of motion is known as kinetic energy. It is the energy possessed by an object due to its motion. Kinetic energy can be calculated using the formula:
Kinetic Energy = 1/2 * mass * velocity2
For example, a moving car has kinetic energy because it is in motion.
Learn more about Kinetic energy here:https://brainly.com/question/33783036
#SPJ6
The sun’s___and the planet’s___keeps planets moving is___orbits.
The sun’s gravitational attraction and the planet’s inertia keeps planets moving is circular orbits.
Explanation:
The planets in the Solar System move around the Sun in a circular orbit. This motion can be explained as a combination of two effects:
1) The gravitational attraction of the Sun. The Sun exerts a force of gravitational attraction on every planet. This force is directed towards the Sun, and its magnitude is
[tex]F=G\frac{Mm}{r^2}[/tex]
where
G is the gravitational constant
M is the mass of the Sun
m is the mass of the planet
r is the distance between the Sun and the planet
This force acts as centripetal force, continuously "pulling" the planet towards the centre of its circular orbit.
2) The inertia of the planet. In fact, according to Newton's first law, an object in motion at constant velocity will continue moving at its velocity, unless acted upon an external unbalanced force. Therefore, the planet tends to continue its motion in a straight line (tangential to the circular orbit), however it turns in a circle due to the presence of the gravitational attraction of the Sun.
Learn more about gravity:
brainly.com/question/1724648
brainly.com/question/12785992
#LearnwithBrainly
A metal rod is 25.000 cm long at 25.0 degrees Celsius. When heated to 102.0
degrees Celsius, it is 25.054 cm long. What is the coefficient of linear expansion
for this metal?
The coefficient of linear expansion for the metal rod is calculated using the formula α = ΔL / (L₀ × ΔT) and is found to be approximately 2.8 x 10⁻⁵ per degree Celsius.
The question you've asked pertains to finding the coefficient of linear expansion for a metal rod that has expanded due to an increase in temperature. The formula to calculate the coefficient of linear expansion (α) is given by:
α = ΔL / (L₀ × ΔT)
Where:
ΔL is the change in length of the rod
L₀ is the original length of the rod
ΔT is the change in temperature
Let's plug in the values we have:
ΔL = 25.054 cm - 25.000 cm = 0.054 cm
L₀ = 25.000 cm (initial length)
ΔT = 102.0°C - 25.0°C = 77.0°C
Before substitution, convert the length in cm to meters (1 cm = 0.01 m):
ΔL = 0.054 cm × 0.01 m/cm = 0.00054 m
L₀ = 25.000 cm × 0.01 m/cm = 0.25 m
Now, calculate α:
α = 0.00054 m / (0.25 m × 77.0°C)
α = 0.00054 m / (19.25 m°C)
α ≈ 2.8 x 10⁻⁵ per degree Celsius
The coefficient of linear expansion for this metal is approximately 2.8 x 10⁻⁵ per degree Celsius.
State ohm’s law Q.34.7
Ohm's law states that: [tex]V=RI[/tex]
Explanation:
Ohm's law states that in a conductor, the potential difference across the conductor is directly proportional to the current flowing through it. Mathematically,
[tex]V \propto I[/tex]
where
V is the potential difference
I is the current
The constant of proportionality is called resistance (R), and it gives a measure of "how much the conductor opposes" to the flow of current. Therefore Ohm's law can be rewritten as
[tex]V=RI[/tex]
where R is the resistance. By rewriting the equation as
[tex]I=\frac{V}{R}[/tex]
we see that the larger the resistance, the lower the current in the conductor.
Learn more about Ohm's law:
brainly.com/question/4438943
brainly.com/question/10597501
brainly.com/question/12246020
#LearnwithBrainly
Humans cannot digest food without the aid of small single celled organisms that live in our digestive tract these small organisms help humans digest food by breaking down complex food molecules. Which common name is associated with theses single celled organisms that help humans digest food?
A virus
B protozoa
C bacteria
D algea
Answer:
bacteria
Explanation:
1. A ball is thrown straight up into the air with an initial speed of 8.0 m/s.
a. How long does it take for the rocket to reach its highest point?
b. What is the maximum height the ball reaches above the ground?
Explanation:
When an object falls freely, it falls due to the influence of gravity and this free falling object is called as acceleration of gravity. The free falling object has an acceleration value of about 9.8 m / s^2 downward on Earth.
The Acceleration of Gravity is denoted by a symbol g.
Solution:
Initial speed = 8.0 m / s.
a. To calculate the time taken, (initial velocity is 8.0 m/s and the final velocity is 0)
T = Velocity / gravity
Time taken to reach highest point t = 8 / 9.8 = 0.816 s.
b. To calculate the height, (initial velocity is 8.0 m/s and the final velocity is 0)
h = square of velocity / (2 * g)
The maximum height the ball reaches h = (8 * 8) / (2 * 9.8)
= 64 / 19.6 = 3.26 m.
Match the characteristic or descriptive phrase to the type of application it describes. sound waves soft-tissue imaging electromagnetic wave fetal imaging
answer:
ultra sound
mri
mri
ultra sound
Match the characteristic or descriptive phrase to the type of application it describes.
sound waves
✔ ultrasound
soft-tissue imaging
✔ MRI
electromagnetic wave
✔ MRI
fetal imaging
✔ ultrasound
Match the characteristic or descriptive phrase to the type of application it describes.
sound waves
✔ ultrasound
soft-tissue imaging
✔ MRI
electromagnetic wave
✔ MRI
fetal imaging
✔ ultrasound
Answer:
Explanation:
trust
2. Does the bowling ball have more potential energy or kinetic energy as it is half way through its fall
.
Answer:
Equal
Explanation:
Recall that KE = 1/2(m)(v²) and PE = mgh, where m is mass, g is gravity, v is velocity, and h is height.
When the bowling ball is first dropped, it has a maximum potential energy but minimum kinetic energy. The height is max, so the potential energy will be greatest. Velocity is 0, so kinetic energy will be 0.
When the bowling ball is half way through its fall, the height will be half the initial height and the velocity will be half of the final velocity.
When the bowling ball is at the bottom and reaches the ground, the height is 0 so potential energy is 0 while the kinetic energy is max because velocity is the greatest.
Answer:
I think that it is kinetic because it is gaining speed through out it's fall.
Using the periodic table and your knowledge of atomic structure. Draw a conclusion about the number of neutrons in Carbon-14 relative to a typical carbon atom.
A)
The same number of neutrons. All carbon atoms have atomic number 6.
B)
The periodic table cannot give you the information needed to answer this question.
C)
It has less neutrons. Its mass number is smaller than the one on the periodic table.
Eliminate
D)
It has more neutrons. Its mass number is larger than the atomic mass number for carbon.
D)
It has more neutrons. Its mass number is larger than the atomic mass number for carbon.
Explanation:
We can see that all the isotopes of Carbon occupies the same slot in the periodic table and thus the same periodic number.
Atomic number of carbon = 6
Periodic Table gives us the information of Atomic number and mass number of atoms of an element.
Atomic number does not give any information about the number of neutrons of an atom. Atomic number of an element is the number of protons in the nucleus of each atom of that element.
Mass number is defined as the total number of protons and neutrons in an atom. Mass number of a typical carbon atom is equal to 12.
Isotopes are variants of a particular chemical element which differ in number of neutrons. Hence, the mass number of different isotopes of the same element varies and gives us information about the number of neutrons present in that atom at the same time.
The mass number of Carbon-14 is equal to 14.
Atomic number of C-14 = Protons in Carbon-14 = 6
Neutrons in Carbon-14 = Mass Number - Atomic Number
Neutrons in C-14 = 14-6
= 8
Whereas the number of neutrons in a typical Carbon-12 atom is equal to 6.
Keywords: Periodic Table, mass number, atomic number, carbon, isotopes
Learn more about Periodic Table from https://brainly.com/question/2388176
#learnwithBrainly
Carbon-14 is an isotope of carbon that has more neutrons than the typical carbon atom, containing 8 neutrons compared to a normal carbon atom's 6.
Explanation:Using the periodic table and understanding the atomic structure, we can conclude that the Carbon-14 isotope has more neutrons than a typical carbon atom. An atom's atomic number corresponds to the number of protons it has, which for carbon is 6. The number after the hyphen, in this case 14, represents its mass number (sum of protons and neutrons). When we subtract the atomic number from the mass number (14-6), it indicates that a Carbon-14 atom has 8 neutrons, which is 2 more than the typical carbon atom assuming it has 6 neutrons to match its 6 protons.
Learn more about Atomic Structure here:
https://brainly.com/question/7328982
#SPJ3
Suppose you are given a position versus time graph. The slope of a line tangent to a point on the curve of this graph describes what quantity?
A: Displacement
B: acceleration
C:Instantaneous velocity
D: position
Alo tell me why it’s the answer that it is
Answer:
Explanation: ur answer is c. If I remember correctly. thnx
How many coulombs of positive charge are there in 47.0 gm of plutonium, given its atomic mass is 244 and that each plutonium atom has 96 protons?
(enter answer to three significant figures and in the exponent form: Example,
1.38e5)
Answer:
1.78×10⁶ CExplanation:
Using the atomic mass of pluonium atoms (244 g/mol), you can calculate the number of atoms in 47.0 g. Then, knowing that each plutonium atom has 96 protons, you calculate the number of protons in the 47.0 g sample. Finally, using the positive charge of one proton, you calculate the total positive charge in the 47.0 g of plutonium.
1. Number of atoms of plutonium in 47.0 g
Number of moles = mass / atomic mass = 47.0 g / 244 = 0.1926 molesNumber of atoms = number of moles × 6.022 × 10²³ atoms/mol Number of atoms = 0.1926 mol × 6.022 × 10²³ atoms/mol = 1.15998×10²³ atoms2. Number of protons
Number of protons = 1.15998×10²³ atoms × 96 protons/atom = 1.11385×10²⁵ protons3. Charge
Charge = charge of one proton × number of protonsCharge = 1.602×10⁻¹⁹ C/proton × 1.11385×10²⁵ protons = 1.78×10⁶CCalculate the force of Earth's gravity on 1350kg spacecraft that is 1.28 * 10 ^ 6 * m above Earth surface ( Earth's mass is 6*10^ 24 kgg) .
Answer:
The force of Earth's gravity is 327954 N
Explanation:
Given:
Mass of the space craft = 1350 kg
Mass of the earth = 6*10^ 24
Distance = 1.28 * 10 ^ 6
To Find:
The force of Earth's gravity = ?
Solution:
The force of attraction between a planet and an object kept in space is given by the expression
[tex]F =\frac{GMm}{R^2}[/tex]
where
M is the mass of the earth
m is the mass of the space craft
R is the distance between the earth and the space craft and
G is the gravitational constant
On substituting the values
[tex]F =\frac{(6.67 \times 10^{-11})(6\times10^ {24})(1350)}{(1.28\times 10^6)^2}[/tex]
[tex]F =\frac{(54027\times 10^{13})}{(1.28\times 10^6)^2}[/tex]
[tex]F =\frac{(54027\times 10^{13})}{(1.6384\times 10^{12})}[/tex]
F = 327954 N
John and Daniel are playing tug-of-war together. John is exerting 10 N of force. Daniel is exerting 12 N of force. What is their net force?
Answer: 2 N in Daniel's direction.
Answer: 2N in Daniel's direction.
Explanation:
Since, both of them are playing a game of tug and war, the resultant(net) force consists of opposing forces.
Net force= 12N-10N = 2N
And the net force is in Daniel's direction because Daniel exerted greater force.
In the tug-of-war scenario between John and Daniel, the net force is 2 N in Daniel's direction, as his force is 12 N compared to John's 10 N. The forces are unbalanced with the larger force determining the direction of the net force.
When John and Daniel play tug-of-war, John exerts a force of 10 N while Daniel exerts a slightly higher force of 12 N. To find the net force, we consider the direction of the forces as well. Since they are exerting forces in opposite directions, the net force is the difference between the two forces. Therefore, the net force is 12 N (Daniel's force) - 10 N (John's force) = 2 N in the direction of the larger force, which is Daniel's direction.
Understanding tug-of-war forces is an interesting way to conceptualize the principles of balanced and unbalanced forces. In this case, the forces are unbalanced because one player is exerting more force than the other, causing the net force to shift in one direction.
Your roommate drops your wallet down to you from the third floor window of your apartment, which is 11.5m from the ground. what is the velocity of the wallet when you catch it. ( Assume you catch the wallet right before it hits the ground)
Answer:
15.0 m/s
Explanation:
Take the down direction to be positive.
Given:
Δy = 11.5 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (9.8 m/s²) (11.5 m)
v = 15.0 m/s
The density of mercury is 1X36X10'4 kg/m'3 at 0c. What is it density at 25 c? The coefficient of volume expansion of mercury is 2.8C10'-4
The density at 25 degrees is [tex]1.35\cdot 10^4 kg/m^3[/tex]
Explanation:
The density of a material is given by
[tex]d=\frac{m}{V}[/tex]
where
m is its mass
V is its volume
The volume of a material changes as a function of the temperature, according to
[tex]V(T)=V_0(1+\alpha (T-T_0))[/tex]
where
[tex]V_0[/tex] is the volume at temperature [tex]T_0[/tex]
[tex]\alpha[/tex] is the coefficient of volume expansion
In this problem, let's take a sample of mercury of mass
m = 1 kg
The density at 0 degrees is
[tex]d_0 = 1.36\cdot 10^4 kg/m^3[/tex]
So the corresponding volume is
[tex]V_0 = \frac{m}{d_0}=\frac{1}{1.36\cdot 10^4}=7.35\cdot 10^{-5} m^3[/tex]
For mercury,
[tex]\alpha = 2.8\cdot 10^{-4} ^{\circ}C^{-1}[/tex]
So the volume when [tex]T=25^{\circ}C[/tex] is
[tex]V(25)=(7.35\cdot 10^{-5})(1+2.8\cdot 10^{-4}(25-0))=7.4\cdot 10^{-5} m^3[/tex]
And since the mass has not changed, we can now calculate the density at 25 degrees:
[tex]d_{25}=\frac{m}{V_{25}}=\frac{1}{7.4\cdot 10^{-5} m^3}=1.35\cdot 10^4 kg/m^3[/tex]
Learn more about density:
brainly.com/question/5055270
brainly.com/question/8441651
#LearnwithBrainly