From the calculation that we have done, the mass of the isotope that is left is 0.25 mg.
What is the half life of an isotope?The half-life of an isotope is the time it takes for half of the radioactive atoms in a sample to decay. Radioactive decay is a process in which an unstable atomic nucleus loses energy by emitting radiation, such as alpha particles, beta particles, or gamma rays, and transforms into a more stable nucleus.
Using the formula;
N/No = (1/2)^t/t1/2
N = amount at time t
No = initial amount
t = time taken
t1/2 = half life
Then we have that;
N/64 = (1/2)^18/6
N/64 = (1/2)^3
N = (1/2)^3 * 64
N = 0.25 mg
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Line a is parallel to line b. If the
measure of 27 is 114°, what is the
measure of 41?
21
34
65
114°= 78
a
b
The measure of angle 3 is given as 114 degrees
What is an angleAn angle is a geometric figure formed by two rays or lines that share a common endpoint called the vertex. The rays or lines that form the angle are referred to as the arms or sides of the angle. Angles are typically measured in degrees (°) or radians, and the measure of an angle indicates the amount of rotation between the two arms or sides, starting from one arm and rotating around the vertex to reach the other arm.
Line a and line b are parallel.
< 7 = 114°
The value of 3 measured as
= < 7
Having similar angles, = 114°
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an enamel silver jewel has mass of 93kg and is found to have a volume of 10cm³ . what part of the total mass is
i. enamel
ii. silver
density of enamel is 2.5g/cm³
density of silver is 10.5g/cm³
The part of the total masses are:
i. 0.027%
ii. 0.113%
How to determine total mass?To find the mass of enamel and silver in the jewel, use their respective densities and the volume of the jewel.
i. Mass of Enamel:
Density of enamel = 2.5 g/cm³
Volume of the jewel = 10 cm³
The mass of enamel can be calculated using the formula:
Mass = Density × Volume
Mass of enamel = 2.5 g/cm³ × 10 cm³ = 25 g
ii. Mass of Silver:
Density of silver = 10.5 g/cm³
Volume of the jewel = 10 cm³
The mass of silver can be calculated using the same formula:
Mass = Density × Volume
Mass of silver = 10.5 g/cm³ × 10 cm³ = 105 g
Now, to find the parts of the total mass:
i. Part of Enamel:
Mass of enamel = 25 g
Total mass of the jewel = 93 kg = 93,000 g
Part of enamel = (Mass of enamel / Total mass) × 100
Part of enamel = (25 g / 93,000 g) × 100 ≈ 0.027%
ii. Part of Silver:
Mass of silver = 105 g
Total mass of the jewel = 93 kg = 93,000 g
Part of silver = (Mass of silver / Total mass) × 100
Part of silver = (105 g / 93,000 g) × 100 ≈ 0.113%
Therefore, the enamel constitutes approximately 0.027% of the total mass, while the silver constitutes approximately 0.113% of the total mass.
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Question: How is the energy in the food we eat an example of chemical potential energy?
Answer Choices:
A. It isn't; food stores kinetic energy
B. It isn't;' chemical potential energy is only found in fossil fuels
C. Food is broken down and then moves through the digestive system
D. The chemical bonds in the food store energy that is released when we eat it.
Answer: D
Explanation: The chemical bonds in the food store energy that is released when we eat it.
A 2 kg object is moving at a constant velocity of 15 m/s. What is its acceleration?
Answer:
The acceleration of the object is 0 m/s^2.
Explanation:
To solve this problem, we must remember that acceleration is equal to the change in velocity per unit time. Since we are given that the velocity is constant, this means it is unchanging, and the acceleration is therefore zero.
Hope this helps!
I need helpppp :((((((
Answer: c. The electric force increases
Explanation:
If the distance between two charged particles decreases, the electric force between them increases.
According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:
F = k * (q1 * q2) / r^2
Where:
F represents the electric force between the particles.
k is the electrostatic constant.
q1 and q2 are the charges of the particles.
r is the distance between the particles.
As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.
part a. A 10 Kg object is pulled by a force of 60 N at an angle of 30°. As it moves on, it is resisted by a force of friction of 2 N, as shown by the diagram below. Determine the normal force F normal
part b. A 10 Kg object is pulled by a force of 60 N at an angle of 30°. As it moves on, it is resisted by a force of friction of 2 N, as shown by the diagram below. determine the acceleration.
Answer:
What cell organelle makes turgor pressure in a plant cell
possible? Describe the role of this organelle in this process.
Explanation:
pls help dude
A hawk in level flight 135m above the ground drops the fish it caught. If the hawk horizontal speed is 20m/s, how far ahead of the drop point will the fish land
a car travels at a constant speed of 20m/s and yet it does not have a constant velocity. explain how this could be
Answer:
HOPE THIS HELPS!!
Explanation:
Velocity is speed as well as distance mentioned.
The car is traveling at a constant speed of 20m/s but it may not be traveling in any particular direction. It would be taking many turns (left and right) or it would be moving in a circular manner.
So,it is at constant speed but not constant velocity.
8. compare the representations of water, sound, and light waves. describe the similarities and differences with images from the simulation to support your ideas.
Some of the similarities and differences between the representations of water, sound, and light waves are as follows:
Similarities:
Wavefronts, which are lines that depict the position of the wave at a specific point in time, may be used to depict all three types of waves.They all possess the wave qualities of wavelength, frequency, and amplitude, which govern how the wave will behave.They all move through a medium, like air, water, or solids, and the characteristics of that medium affect how quickly they move.Differences:
The environment in which the wave travels: sound waves travel through solids or air, and light waves can travel in a vacuum. Water waves travel in water.In terms of how quickly they move, light waves are the quickest, with sound waves moving at a slower rate than both.The wave's kind: Sound waves are longitudinal waves, which implies they travel parallel to the direction of the wave, whereas water waves flow perpendicular to the wave's direction. Transverse and longitudinal electromagnetic waves make up light waves.These are a few examples of how light, sound, and water waves are each represented differently and similarly.
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Find the horizontal magnitude of a velocity vector of 125 m/s at an angle of 70°.
______ m/s (round to tenths place)
Answer:
please find attached file
Explanation:
what is deltoids muscle?
Answer:
The deltoid muscle is a large triangular shaped muscle associated with the human shoulder girdle, explicitly located in the proximal upper extremity.
Explanation:
How is the 3rd law different from the 1st and 2nd laws?
Answer:
In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Explanation:
what is good givernance
Answer:
measuring
Explanation:
In international development, good governance is a way of measuring how public institutions conduct public affairs and manage public resources in a preferred way. Governance is "the process of decision-making and the process by which decisions are implemented"
Explanation:
way of measuring how public institutions conduct public affairs and manage public resources in a preferred way.
Which equation shows the relationship of wave speed to
wavelength and wave frequency?
a Speed = Wavelength x Frequency
b Speed = Wavelength/Frequency
C Speed = Frequency/Wavelength
d None of the above
Answer:
Answer is A
Speed = Wavelength × Frequency
Explanation:
Googled it
A cylindrical copper rod has resistance R. It is reformed into a cylinder that has a length three times its original length with no change of volume (Note: Volume = Length * Area). Its new resistance is: O R/3 9R d 3R 0 R/9 OR
The area is reduced by 1/3, the resistance will increase by a factor of 3. Therefore, the new resistance is 3R * 3 = 9R.
The resistance of a conductor is given by the formula R = ρ (L/A), where ρ is the resistivity, L is the length, and A is the cross-sectional area. Since the volume remains the same, the product of length and area should remain constant. When the length is tripled, the cross-sectional area must be reduced by a factor of 1/3 to maintain the volume. The resistance is inversely proportional to the cross-sectional area, so if the area is reduced by 1/3, the resistance will increase by a factor of 3. Therefore, the new resistance is 3R * 3 = 9R.
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2
A simple circuit contains a battery and a resistor.
Over 3.0 hours, 29 000 C of charge passes through the resistor.
Calculate the current flowing through the circuit during this time.
Give your answer to two significant figures.
Answer:
Approximately \(2.69\; {\rm A}\).
Explanation:
Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:
\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).
Electric current \(I\) is the rate of flow of electric charge.
In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:
\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).
Two kids take part in a tug of war on an icy playground (don't try this at home). There is zero friction between their shoes and the ground. Child A has a mass of 26 - kg and child B has a mass of 49 - kg. They are initially standing 11 m apart. A. How far from child A is their CM? B. Each child holds the end of a rope and child B pulls on the rope so that he moves toward child A. How far will child B have moved when he collides with child A?
Two kids of different masses take part in a tug of war with no friction. The distance of their center of mass can be calculated, and if child B pulls on the rope towards child A, the distance he will move before colliding with child A can also be calculated.
A. To find the center of mass (CM) of the system, we need to take into account both the masses and their distances from each other. The formula for the position of the CM is:
CM = (m1x1 + m2x2) / (m1 + m2)
where m1 and m2 are the masses, x1 and x2 are their distances from a chosen reference point.
In this case, let's take child A as the reference point, so x1 = 0 (since child A is at the origin), and x2 = 11 m. Then we have:
CM = (m1x1 + m2x2) / (m1 + m2)
= (26 kg * 0 + 49 kg * 11 m) / (26 kg + 49 kg)
= 7.6 m
Therefore, the center of mass of the system is located 7.6 m from child A.
B. As child B pulls on the rope, he will move towards child A, and their separation distance will decrease. At the same time, the center of mass of the system will move towards child B. Since there is no external force acting on the system, the position of the center of mass will not change.
Let's assume that child B moves a distance of x towards child A before they collide. Then the distance between child A and the CM of the system will be (11 - x), and the distance between child B and the CM will be x. Using the formula for the position of the CM, we can set up an equation:
CM = (m1x1 + m2x2) / (m1 + m2)
= ((26 kg) * 0 + (49 kg) * (11 - x)) / (26 kg + 49 kg)
= (539 - 49x) / 75
Since the CM does not move, this must be equal to the initial position of the CM, which we found to be 7.6 m from child A:
(539 - 49x) / 75 = 7.6
Solving for x, we get:
x = 6.4 m
Therefore, child B will have moved a distance of 6.4 m towards child A before they collide.
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A car is being pulled by a tow truck. What is the car's mass if the net force on the car is 5400 N and it has an acceleration of 5.0 m/s/s?
Answer:
1080 m
Explanation:
Divide 5400 over 5.0
on which factor does the inertia of rest depends
Answer:
Inertia depends upon the force applied .
If gold has a mass number of 173 then it has how many neutrons?
Answer:
94
Explanation:
173 - 79 = 94
The number of electrons in a neutral atom is equal to the number of protons. The mass number of the atom (M) is equal to the sum of the number of protons and neutrons in the nucleus. The number of neutrons is equal to the difference between the mass number of the atom (M) and the atomic number (Z).
Mass number given: 173
Gold Atomic number: 79
Neutrons: 94
Which of the following is the correct description of the relationship between wavelength and energy with regard to the electromagnetic spectrum?
A. the shorter the wavelength, the greater the energy
B. the greater the energy, the longer the wavelength
C. the longer the energy, the greater the wavelength
D. there is no correlation between wavelength and energy
In the electromagnetic spectrum, the relation between energy and wavelength is shorter the wavelength ,the greater is the energy.
What is electromagnetic spectrum?The electromagnetic spectrum consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The spectrum is composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The electromagnetic spectrum consists of seven types of electromagnetic waves which are arranged in decreasing order of energy in the electromagnetic spectrum.
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what is mach number?
Mach number is "the ratio of the speed of a body to the speed of sound in the surrounding medium" (Oxford Languages). Put simply, it's a ratio comparing the local flow velocity to the speed of sound in the medium.
It is represented with the following formula. M is the mach number, u is the local flow velocity, and c is the speed of the sound in the medium.
\(\boxed{\displaystyle M=\frac{u}{c} }\)
Need some help with homework but where doing it in class rn
Answer:
now it lets me. B
Explanation:
hope that helps
i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m
The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.
d (distance) from A to B is = √2gh
In this case given are, g = 9.8 m/s² and h = 100m,
so here d = √(2⋅9.8⋅100) = 44.3m.
Final velocity ,v = √2gh
Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,
g = 9.8 m/s² ,h = 100m,
v = √(2⋅9.8⋅100)
= 44.3 m/s (final velocity)
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A rope is attached to a hook in the ceiling and is hanging straight down. The rope has a mass m, and nothing is attached to the free end of the rope. As a transverse wave travels down the rope from the top, ________________.
As a transverse wave travels down the rope from the top, the speed of the wave decreases. In a transverse wave, movement occurs at right angles.
What is a transverse wave?A transverse wave can be defined as a type of wave where movement occurs at right angles to the direction of the wave.
Some examples of types of transverse waves include, among others, seismic waves, radio waves, and light waves.
The ripples on the surface of water move at right angles to the direction of the wave, thereby they represent transverse waves.
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An electromagnetic wave transfers energy as it travels. During this process, what is the relationship between the magnetic and electric fields along its path?
Answer: A I just got it wrong because of the other person.
Explanation:
The electromagnetic waves are those waves that move through space and carry electromagnetic radiant energy. They include radio waves and microwaves. and many more.
During the transfer of energy, they are the sinusoidal fashion of movement that they are perpendicular to each other in the direction of wave motion. Show synchronized oscillations.Hence the option A is correct.
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name any three natural phenomena
Answer:
earthquakes, glaciers, and tsunamis.
Explanation:
Earthquakes, glaciers, and tsunamis are are natural phenomena because they are related to tectonic nature of the Earth.
hope this helps !
Date: 12-3-21
4.
The momentum of a 5-kilogram object moving at
6 meters per second is
Answer
30 kg . m/sec
Explanation:
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A vector d has a magnitude of2.6 m and points north. What are the magnitudes and directions of the vectors (a) - d, (b) d/2.0, (c) - 2.5d, and (d) 5.0d?
Solution :
A vector is defined as an element that has magnitude of some measure and direction.
It is given there is vector 'd' which has magnitude 2.6 m and its direction is towards north.
a). -d
The magnitude of the vector '-d' is 2.6 m and its direction is reversed, i.e. its direction is towards south.
b). d/2.0
The magnitude of the vector 'd/2.0' is 1.3 m and its direction is towards north.
c). - 2.5d
The magnitude of the vector increases by 2.5 times i.e. 2.5 x 2.6 = 6.5 m and the direction is towards south.
d). 5.0d
The magnitude of the vector increases by 5 times i.e. 5 x 2.6 = 13 m and the direction is towards north.
A wildbeest runs with an average speed of 4.0m/s for 15s . What was the distance travelled in meters
Answer:
60.0m im sorry if im wrong but this is what i got
Explanation:
Answer:
The Answer Is 60 m
Explanation:
Distance d = ?
Time t = 15 s
Average speed vavg = 4.0 m/s
You can rearrange the equation vavg = d/t to solve for distance travelled d.
vavg = d/t
d = vavgt
= (4.0 m/s) (15s)
= 60 m