Suppose the half-life of an element is 10 years. How many half-lives will it take before only about 6% of the original sample remains?
Answer:
40.59 years
Explanation:
Use the decay law of radioactivity
[tex]N = N_{0}e^{-\lambda t}[/tex]
Where, λ is the decay constant
λ = 0.6931 / T
where, T is the half life
λ = 0.6931 / 10 = 0.06931 per year
So, N = 6% of N0
[tex]0.06 = e^{-0.06931\times t}[/tex]
By solving we get
t = 40.59 years
Block 1 of mass m1 slides along a frictionless floor and into a one-dimensional elastic collision with stationary block 2 of mass m2 = 3.0m1. Prior to the collision, the center of mass of the two-block system had a speed of 5.0 m/s. Afterward, what are the speeds of (a) the center of mass and (b) block 2?
The speeds of the centre of mass is 2 2.0 m/s and block 2 is 4 m/s.
What is speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
(a) By conservation of momentum, the velocity of the center of mass is unchanged, i.e., 2.0 m/s.
(b) The speed of the center of mass = (m1v1+m2v2) / (m1+m2)
Since the second mass is initially at rest, vcom = m1v1 / (m1+m2)
Therefore, the initial v1 = vcom (m1+m2) / m1 = 2.0 m/s x 6 = 12 m/s
Since the second mass is initially at rest, v2f = v1i (2m1 /m1+m2 ) = 12 m/s (2/6) = 4 m/s
The speeds of the centre of mass is 2 2.0 m/s and block 2 is 4 m/s.
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What is the kinetic energy of a 2 kg snowball thrown through the air at 5 m/s?
Answer:
Kinetic energy of the ball is 25 joules.
Explanation:
Mass of the snowball, m = 2 kg
Speed of the ball, v = 5 m/s
Let E is the kinetic energy of the snowball. The energy possessed due to the motion of an object is called its kinetic energy. Mathematically, it is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
[tex]E=\dfrac{1}{2}\times 2\times 5^2[/tex]
E = 25 joules
So, the kinetic energy of ball is 25 joules. Hence, this is the required solution.
I'm in 7th grade and I need help with 1.04 law of conservation of energy can someone please help me today
The law of conservation of energy states that the total energy in a system remains constant. Energy can be transferred from one system to another or change form, but the total amount of energy remains the same.
Explanation:The law of conservation of energy states that the total energy in a system remains constant. Energy can be transferred from one system to another or change form, but the total amount of energy remains the same. For example, when a ball is raised to a certain height, it gains potential energy. As the ball falls, the potential energy is converted to kinetic energy. The sum of the potential and kinetic energy remains constant throughout the process.
Objects in free fall are weightless.
True or False
How many positions coordinates are required to identify the position of a system undergoing one dimensional motion and what symbols should you use to identify a systems position in one dimensional motion
would a balance function correctly on the moon
Yes, a balance measures mass, not weight and can do so in any enhanced environment. Also, the moon has gravity even if it is less than earth. What might be a bit unclear is that masses for it are standardized for Earth's gravitational field at its surface at sea level. So the interpretations for "weight" will have to be increased by 6 times so that it could be equivalent to Earth.
The length of a plank is measured by using a meter rule and the value obtained is reported as 2.4 m. Why is this reading inappropriately reported?
The 2.4 m measurement of a plank might be inappropriately reported if the meter rule used doesn't have the precision to report to tenths of a meter. The proper reporting of a length measurement should match the precision of the measurement tool, and include any measurement uncertainty using significant figures.
Explanation:The reading of the length of a plank measured as 2.4 m may be inappropriately reported if the measuring instrument, such as the meter rule, is not precise enough to report the measurement to the nearest tenth of a meter. When measurements yield inexact numbers, it's important to report them to the appropriate degree of precision based on the measuring tool used. A common meter stick may not have the necessary granularity to estimate beyond whole centimeters effectively, and therefore, reporting the length to a precision of tenths of a meter, like 2.4 m, might not be possible. If the meter rule used only has markings for each centimeter, the more appropriate reading would be to the nearest whole centimeter. It's also vital to include measurement uncertainty when expressing measurements, as suggested by the principles of significant figures.
Furthermore, while a meter stick is useful for measuring objects that are a few meters in length, for larger measurements, different units like kilometers might be used. For smaller measurements, centimeters or millimeters are more appropriate. The standard unit of length in the SI system is a meter, which is suitable for measuring everyday objects, like furniture or components of a small structure such as a doghouse. When a more granular measurement is required, millimeters (mm) or centimeters (cm), which are subdivisions of a meter, are used.
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Which of the following are products of cellular respiration?
Sunlight
Oxygen
ATP
Water
Carbon Dioxide
Answer:
B) ATP
Explanation:
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A hooked weight is suspended by two wires. The gravitational force acting on the weight is 1.0N,downward. Is it possible for the two wires to exert forces that have magnitude of 0.60 N and 0.70 N on the hooked weight?
The tension in the wires must be equal to the weight of the hooked weight for it to be in equilibrium, so it is not possible for the two wires to exert forces with magnitudes of 0.60 N and 0.70 N on the hooked weight.
Explanation:The tension in the wires must be equal to the weight of the hooked weight for it to be in equilibrium. Since the gravitational force acting on the weight is 1.0 N downward, the sum of the magnitudes of the tensions on the two wires must also be 1.0 N to cancel out the gravitational force. Therefore, it is not possible for the two wires to exert forces with magnitudes of 0.60 N and 0.70 N on the hooked weight.
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A satellite orbiting Earth has a tangential velocity of 5000 m/s. Earth’s mass is 6 × 1024 kg and its radius is 6.4 × 106 m.The distance of the satellite from Earth, written in standard notation, is *blank* m.
Answer:
[tex]9.6 \cdot 10^6 m[/tex]
Explanation:
we can solve the problem by equalizing the force of gravity that keeps the satellite in circular motion with the centripetal force:
[tex]G\frac{m M}{r^2}=m\frac{v^2}{r}[/tex]
where
[tex]G=6.67 \cdot 10^{-11}[/tex] is the gravitational constant
m is the satellite's mass
M is the Earth's mass
r is the distance of the satellite from Earth's center
v is the tangential velocity of the satellite
By re-arranging the formula and substituting the numbers, we find r:
[tex]r=G \frac{m}{v^2}=(6.67 \cdot 10^{-11})\frac{6 \cdot 10^{24}}{(5000)^2}=1.6 \cdot 10^7 m[/tex]
However, this is the distance of the satellite from Earth's center. Since we want to know its distance from the Earth's surface, we must subtract the value of the Earth's radius:
[tex]r'=r-R=1.6 \cdot 10^7 m-6.4 \cdot 10^6 m=9.6 \cdot 10^6 m[/tex]
The satellite's distance from Earth's surface is approximately 1.28 x 10^6 m.
Explanation:To find the distance of the satellite from Earth, we can use the formula for the speed of an object in circular motion, V = √(GM/r), where V is the speed of the satellite, G is the gravitational constant (6.67 × 10^-11 N(m/kg)^2), M is the mass of the Earth, and r is the distance of the satellite from the centre of the Earth. In this case V is given as 5000 m/s and M is given as 6 x 10^24 kg. Rearranging the formula to solve for r, we get r = GM/V^2.
Plugging in our given values: r = [(6.67 × 10^-11 N(m/kg)^2 * 6 x 10^24 kg) / (5000 m/s)^2] ~ 7.68 x 10^6 m. However, this is the distance from Earth’s centre. We must return it to the distance from Earth's surface by subtracting Earth's radius, resulting in r - Earth's radius = 7.68 x 10^6 m - 6.4 x 10^6 m ~ 1.28 x 10^6 m.
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An eagle carrying a trout flies above a lake along a horizontal path. The eagle drops the trout from a height of 6.1 m. The fish travels 7.9 m horizontally before hitting the water.
What is the velocity of the eagle? Round your answer to the nearest tenth.
Answer:
Explanation:
We can use one of the SUVAT equations like:
[tex]s = ut + \frac{1}{2} a^{2}[/tex]
where s = displacement, u = initial velocity, a = the acceleration and t = time.
To get the velocity of the eagle, we have to look at motion of the fish first, using the SUVAT equation form above, therefore:
Vertical motion, which is going downwards
displacement = 6.1 m
Initial velocity = 0 m/s ,
acceleration = 9.8 [tex]m/s^{2}[/tex]
So, we need to find the time.
[tex]6.1 = 0t + \frac{1}{2} 9.8t^{2}\\6.1 = 4.9t^{2} \\t^{2}= \frac{6.1}{4.9}\\t = \sqrt{1.2448}\\t = 1.116 s[/tex]
Now with the time, we can look at the horizontal motion of the fish, where the variable of the initial velocity, u, is what we need to find, which is also the velocity of the eagle:
Acceleration = 0 [tex]m/s^{2}[/tex]
Displacement = 7.9 m ,
time = 1.116 seconds we need to find Initial velocity (u).
[tex]7.9 = v*1.116 + \frac{1}{2} 0*1.116^{2}\\7.9 = 1.116v \\v= \frac{7.9}{1.116} \\ v= 7.1 m/s[/tex]
Therefore, velocity of the eagle = 7.1 m/s
You rub a balloon on your head and it becomes negatively charged. The balloon will be MOST attracted to A) a piece of metal. B) positively charged hair. C) the neutrally charged wall. D) another negatively charged balloon.
It will be attracted most to your positively charged hair. This is why it will make it stand on end. Unlike charges attract, like charges repel.
what is the speed of a 2.5-kilogram mass after ot has fallen freely from rest through a distance of 12 meters? a) 4.8 m/s b) 15 m/s c) 30. m/s d) 43 m/s
v₀ = initial velocity of the mass = 0 m/s (since the mass falls from rest)
a = acceleration = acceleration due to gravity = 9.8 m/s²
d = vertical distance traveled = 12 m
v = final velocity of the mass
Using the kinematics equation
v² = v₀² + 2 a d
v² = 0² + 2 (9.8) (12)
v² = 235.2
v = √235.2
v = 15 m/s
hence the speed of mass comes out to be
b) 15 m/s
Scientists in different parts of the world repeat an experiment several times and get the same result. Which of these is the most likely reason why experiments are repeated to produce the same result?
to make results non-testable
to make results non-observable
to make conclusions elaborate
to make conclusions reliable
Scientists in different parts of the world repeat an experiment several times and get the same result to make conclusions reliable is the most likely reason why experiments are repeated to produce the same result, therefore the correct answer is option D
what is the scientific claim?Scientific claims are statements made in science based on an experiment.
These Scientific claims are backed by the experimental data and their true results obtained from scientific investigation and experimentation.
A repeated experiment should provide the same outcomes when carried out by several individuals at various periods and preferably, but not always, under comparable circumstances. Consistent experiments must be conducted by renowned scientists who are unrelated to the claimant.
Thus, The most likely explanation for why experiments are repeated to produce the same result is that scientists around the world do so in order to draw reliable conclusions. As a result, option D is the best response.
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Conduction is the movement of heat energy because of the collision of...
A. The collision of molecules
B. The repulsion of molecules away from each other
C. Cold inside of large molecules
D. Energy of molecules breaking down
We have that from the Question"Conduction is the movement of heat energy because of the collision of" it can be said that
Conduction is the movement of heat energy because of the collision of of molecules
The collision of molecules Option AFrom the Question we are told
Conduction is the movement of heat energy because of the collision of...
A. The collision of molecules
B. The repulsion of molecules away from each other
C. Cold inside of large molecules
D. Energy of molecules breaking down
Generally
molecules collide with each the at high kinetic energy and this exercise of molecule causes heat as a phenomenon to occur
Therefore
Conduction is the movement of heat energy because of the collision of of molecules
The collision of molecules Option AFor more information on this visit
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The biosphere is the highest level of organization in the hierarchy of life on earth. Rank the levels of organization from most complex to simplest.
A) ecosystems > communities > populations > organisms
B) organisms > populations > communities > ecosystems
C) ecosystems > organisms > communities > populations
D) populations > communities > ecosystems > organisms
Select the correct statement to describe when a sample of liquid water vaporizers into water vapor
By studying genetics, scientists have learned that _______ control how organisms develop
A. genotypes
B. genes
C. bacteria
D.phenotypes
John Watson’s experiments with Baby Albert showed how classical conditioning could be used to explain?
John Watson's demonstration of classical conditioning with Baby Albert involved pairing a loud noise (UCS) with a white rat (CS) to elicit a fear response (CR) in Albert, which later generalized to similar furry objects.
Explanation:John Watson and Classical ConditioningJohn Watson's experiments with Baby Albert are classic demonstrations of classical conditioning. Watson and his graduate student, Rosalie Rayner, used this method to show how a neutral stimulus, when paired with an unconditioned stimulus, can evoke a conditioned response. In the case of Little Albert, the unconditioned stimulus (UCS) was the loud noise, and the unconditioned response (UCR) was fear from the noise. The conditioned stimulus (CS) became the white rat after it was repeatedly paired with the loud noise. Soon, the mere presence of the white rat evoked the conditioned response (CR), which was fear. Later, stimulus generalization occurred when Little Albert started to fear similar furry objects.
What are groups 1, 2, and 3 examples of on the periodic table? Question options: metals nonmetals metalloids noble gases
Based on Newton’s First Law, what would you expect to happen to a block that is pushed across ice and begins moving (You may assume there is no friction for this scenario? What would be necessary to cause the block to stop moving?
According to Newtons' first law of motion, the block needed to be pushed to move from rest. Similarly need a force to stop its motion as well due to its inertia.
What is inertia ?Newton's first law of motion states that, an object tends to stay in its state of motion or rest until an external force acts on it. This tendency to continue in the current state of the object is called its inertia.
Thus, an object at rests continue on rest if a force make it move. A stationary bus will move backwards when it is started quickly due to its inertia in rest. Similarly it will move to front when stopped suddenly.
Here, the block was initially at rest. If it is pushed it gains a kinetic energy and starts moving. When it moves with a constant speed it tends to continue in the moving and cant stop it until another force comes to stop it.
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Will something with the density of 31 sink or float?
explain the purpose of pumping while running through a half pipe
Review the image of the nitrogen cycle. Nitrogen is an important element needed for plant growth. What living organism plays a big role in adding atmospheric nitrogen to the soil?
A) Fungi
B) Animals
C) Plants, such as legumes
D) Bacteria
Nitrogen is an important element needed for plant growth. Bacteria plays a big role in adding atmospheric nitrogen to the soil.
What is nitrogen cycle?The nitrogen cycle is the biogeochemical process through which nitrogen is changed into a variety of chemical forms as it moves across ecosystems in the atmosphere, on land, and in the sea. It is possible to convert nitrogen using both biological and physical methods.
Fixation, ammonification, nitrification, and denitrification are significant nitrogen cycle processes. The greatest source of nitrogen, atmospheric nitrogen makes about 78% of the atmosphere on Earth. However, the biological use of atmospheric nitrogen is constrained, making it scarce in many different kinds of ecosystems.
Because the availability of nitrogen can influence how quickly important ecological processes like primary production and decomposition occur, ecologists are particularly interested in the nitrogen cycle.
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is the gravity of the sun and moon pull earth's surface in the same direction neap or spring
~Dissolved oxygen is required by all aquatic life.
~Chlorophyll, a plant pigment, is measured to indicate the amount of algae in the water.
~Nitrogen and phosphorous are nutrients that can contribute to undesirable levels of algae.
~Benthic invertebrates, animals that live on the bottom of water bodies, are an important source of food for fish, shrimp and crabs.
Georgia's overall coastal habitats were rated and the results can be seen in the bar graph. Benthic organisms are an important link in an aquatic food chain. What is the expected correlation between the benthic index and chlorophyll a?
A) There is no correlation between benthic organisms and chlorophyll a. One group is plant-based; the other is animal-based.
B) There is a direct correlation between algae present and benthic organisms. The more algae, the more benthic invertebrates.
C) As benthic organisms decrease we would expect chlorophyll a to also decrease. There is a direct relationship between the two in the graph.
D) As chlorophyll a increases, we would expect dissolved oxygen to decrease and because benthic organisms are animals, they too would decrease.
The answer is D. As chlorophyll a increases, we would expect dissolved oxygen to decrease and because benthic organisms are animals, they too would decrease.
1. Which one lived in Antarctica earlier, the labyrinthodont, the lystrosaurus, or the duck-billed dinosaur? Explain.
Answer:
The labyrinthodont lived in Antarctica. Its a reptile thats extinct (also one of the first to walk on land)
Explanation:
A city planner needs to verify that Main Street and Oak Street are parallel. If ___________ are supplementary, the streets must be parallel. A) ∠1 and ∠2 B) ∠1 and ∠3 C) ∠2 and ∠3 D) ∠2 and ∠4
Answer;
A) ∠1 and ∠2
Explanation;
Supplementary angles form a straight line and have a sum of 180 degrees. Supplementary angles do not have to be congruent or adjacent. Angle 1 and angle 2 are supplementary angles.
Complementary angles on the other hand are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be. angles sum right angle.
Difference between angle of shear and angle of twist.
Answer:
The angle of shear can be defined as the angle of the deformation that occurs on the sides when the object is exerted upon by shearing stress or deformation force.
The angle of twist can be defined as the angle through which the rotating machine element rotates or twists with respect to its free end. The angle of twist exists because of the torque.