You wish to date a hip bone fragment you found at a cave site.
You find a ratio of 1 14C atoms for every 31 14N atoms. How many
half- lives have elapsed?
To determine the number of half-lives that have elapsed, we need to compare the ratio of 14C to 14N atoms found in the hip bone fragment.
The ratio of 1 14C atom for every 31 14N atoms suggests that the hip bone fragment contains a smaller amount of 14C compared to the expected ratio found in a living organism. Since 14C undergoes radioactive decay with a half-life of approximately 5730 years, we can calculate the number of half-lives that have elapsed by observing how many times the ratio needs to double to reach the expected ratio.
In this case, if the expected ratio is 1:1, then the observed ratio of 1:31 would require five doublings to reach 1:1. Therefore, approximately five half-lives have elapsed since the death of the organism from which the hip bone fragment originated.
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What was the long-term effect of the Northwest Ordinance of 1787?
Answer:
Established a government for the Northwest Territory, outlined the process for admitting a new state to the Union, and guaranteed that newly created states would be equal to the original thirteen states
Explanation:
Goooogle, so I hope this helps somewhat
Also, isn't this a History question? You put physics lol
Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is.
Let r be the ratio R1/R2R1/R2. Find r.
When two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0, the ratio r = R1/R2 is 0.127
Given the resistance of first resistor = R1
The resistance of second resistor = R2
The voltage of source = V0
The resistors are connected in series then current through it = Is.
We know that from Ohm's law V = IR where I is current.
If resistors are connected in series then Req = R1 + R2
Then V0 = Is(Req) = Is(R1+R2)
When resistors are connected in parallel current through it = Ip.
Similarly equivalent resistance of resistors connected in parallel = Req'
1/Req' = 1/R1 + 1/R2
Then 1/Req' = R1 + R2/R1R2
Req' = R1R2/R1 + R2
Therefore V0 = Ip(R1R2/R1 + R2)
From the above equations we see that as voltages remain same,
Is(R1+R2) = Ip(R1R2/R1 + R2)
Given the current Ip = 10Is. Then
Is(R1+R2) = 10Is(R1R2/R1 + R2)
(R1+R2)^2 = 10R1R2
R1^2 + R2^2 = 8R1R2
Divide LHS and RHS by R2^2 such that
8R1/R2 = (R1/R2)^2 + 1 given r = R1/R2 by substitution we get
8r = r^2+1. So, r = 0.127 (R2>R1)
Hence the required ratio of R1/R2 = 0.127
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Constants Part A You are testing a new amusement park roller coaster with an empty car with a mass of 115 kg One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A) the car has a speed of 25.0 m/s and at the top of the loop (point B) it has speed of 8.00 m/s. As the car rolls from point A to point B, how much work is done by friction? Use 9.81 m/s2 for the acceleration due to gravity You may want to review (Pages 203 - 212) For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A vertical circle with friction.
The work done by friction is equal to 9,579 J.
The work done by friction as the car rolls from point A to point B can be calculated using the equation W = ΔKE + ΔPE, where W is the work done, ΔKE is the change in kinetic energy, and ΔPE is the change in potential energy.
In this case, there is no change in potential energy since the height of the car remains the same. Therefore, the work done by friction is equal to the change in kinetic energy.
The change in kinetic energy can be calculated as KEf - KEi, where KEf is the final kinetic energy and KEi is the initial kinetic energy.
The initial kinetic energy can be calculated using the equation KEi = (1/2)mv², where m is the mass of the car and v is the initial speed. The final kinetic energy can be calculated using the same equation, but with the final speed.
KEi = (1/2)(115 kg)(25.0 m/s)² = 14,219 J
KEf = (1/2)(115 kg)(8.00 m/s)²= 4,640 J
ΔKE = KEf - KEi = 4,640 J - 14,219 J = -9,579 J
Since the change in kinetic energy is negative, this means that work is done by friction to slow down the car.
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1. A quarterback passes a football at a velocity of 15.2 m/s at an angle of 40° to the horizontal
toward an intended receiver 27.4 m downfield. The pass is released 1.3 m above the ground. Assume
that the receiver is stationary. Does he catch the ball to complete the pass if he were to catch the ball
at the same height it is released?
The intended receiver did not receive the ball since the ball travelled a shorter distance.
What is the time of motion of the ball?
The time of motion of the ball is calculated by applying the following formula as shown below.
h = vt + ¹/₂gt²
where;
v is the velocity of the ballg is the acceleration due to gravityt is the time of motion1.3 = ( 15.2 x sin40 )t + ¹/₂ ( 9.8 )(t²)
1.3 = 9.8t + 4.9t²
4.9t² + 9.8t - 1.3 = 0
solve the quadratic equation suing formula method;
t = 0.13 second
The horizontal distance of the ball is calculated as;
d = Vₓt
d = ( 15.2 x cos 40) x 0.13
d = 1.51 m
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A student uses a graphic organizer to show the characteristics of an object in our solar system. Which of the following objects accurately completes the graphic organizer? Drag the correct title into the graphic. Asteroid, Moon, Comet, or Planet.
Answer:
comets
Explanation:
Comets have a tail unlike any other answer choice and it has a core of ice and dust. Many think comets do not orbit the sun, but they do. They orbit in a eliptical orbit, so they take a long time to orbit back to the sun.
in what direction is the satellite now rotating?
A. counterclockwise (opposite to original direction)
B. clockwise (same as original direction) it is not rotating
The direction of rotation of a satellite can be determined using the right-hand rule. If the satellite is rotating counterclockwise, then its motion is opposite to the original direction, whereas if it is rotating clockwise, then its motion is the same as the original direction.
Satellites are objects that orbit around a larger celestial body, such as a planet or a star. The motion of a satellite around its host body is influenced by the gravitational forces acting on it. As a result, satellites tend to move in a particular direction relative to their host body. In this answer, we will explain how to determine the direction of rotation of a satellite.
To determine the direction of rotation of a satellite, we need to consider its initial conditions and the forces acting on it. When a satellite is launched, it is given a specific initial velocity and direction. This initial velocity is typically tangential to the orbit, which means that the satellite moves perpendicular to the direction of the gravitational force acting on it.
Assuming that the satellite is in a circular orbit around the host body, we can use the right-hand rule to determine the direction of rotation. If we imagine placing our right hand on the orbit such that our fingers point in the direction of the initial velocity and our thumb points in the direction of the gravitational force, then the direction in which our hand curls is the direction of rotation of the satellite.
If the satellite is moving counterclockwise (opposite to the original direction), then our hand would curl in the counterclockwise direction, indicating that the satellite is rotating counterclockwise. On the other hand, if the satellite is moving clockwise (same as the original direction), then our hand would curl in the clockwise direction, indicating that the satellite is rotating clockwise.
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Ammonite fossils are not found in the top two layers. What does this mean?
Answer:
Im not sure, are there options for it?
Explanation:
Please help
25 Points
What Mathematical leads to the formulas for the magnitudes of displacement, velocity, and acceleration?
Answer:
displacement=specific distance
*Velocity=∆displacement/time
*acceleration=∆velocity/time
waves that move through matter are only called ______________ waves
western boundary currents such as the gulf stream transport warm water from the topics towards higher latitudestrue or false
The given statement "Western boundary currents such as the Gulf Stream transport warm water from the tropics towards higher latitudes" is true as Western boundary currents, like the Gulf Stream, do transport warm water from the tropics towards higher latitudes.
These currents are driven by prevailing winds and the rotation of the Earth, which result in a westward flow along the western boundaries of ocean basins. As warm water moves poleward, it transfers heat from the tropics to higher latitudes, influencing the climate of the regions it passes through.
The Gulf Stream, for instance, carries warm water from the Caribbean Sea towards the North Atlantic, contributing to the relatively mild climate of Western Europe.
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+ 9. What force (in units of Newtons) is needed to give a 3.5 m/s" acceleration to a 1200 kg car?
Answer:
4200 Newtons
Explanation:
Force = mass x acceleration
1200 x 3.5 = 4200
A charge of 8.4 × 10–4 C moves at an angle of 35° to a magnetic field that has a field strength of 6.7 × 10–3 T.
If the magnetic force is 3.5 × 10–2 N, how fast is the charge moving?
9.1 × 10–5 m/s
1.3 × 10–4 m/s
7.6 × 103 m/s
1.1 × 104 m/s
Answer:
the correct answer is D
Explanation:
Use the table below to answer this question.
Distance (mm) Electric Force (N)
1 243
3 27
5 10
7 5
9 3
A scientist measured the distance between two positively-charged objects, and determined the electric force between them. Based on the data in the table above, which of the following statements is true?
A
As the size of the objects increases, the size of the electric force between them decreases.
B
As the distance between the objects increases, the size of the electric force decreases.
C
The size of the electric force is constant.
D
As the distance between the objects increases, the objects become more positively charged.
As the distance between the objects increases, the size of the electric force decreases.
What is an electric ?Electricity is a form of energy that results from the movement of charged particles, such as electrons or ions. It is the flow of electric charge through a conductor, which can be used to power devices and machines. Electric phenomena occur naturally, such as in lightning strikes, but can also be harnessed and controlled for practical applications, including lighting, heating, and communication.
What is a distance ?Distance refers to the physical length between two points or objects, measured in units such as meters, kilometers, miles, or inches. It is a scalar quantity that only has magnitude and no direction. Distance can be measured using various tools and methods, such as rulers, odometers, or GPS devices.
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A car is travelling along a country road that resembles a roller coaster truck. If car
travels with uniform speed, the force exerted by road on the car is maximum at:
a) A b) B c) C d) equal at all position A, B & C
A car is travelling along a country road that resembles a roller coaster truck. If car travels with uniform speed, the force exerted by road on the car is maximum at A.
Option A is correct.
How do we know?We can determine the force exerted by the road on the car by taking into consideration the direction of the net force acting on the car which is the force exerted by the road on the car is due to the normal force, which is perpendicular to the road surface.
The car is at the bottom of the roller coaster-like track at position A. We notice that the normal force from the road acts in the upward direction which is in opposition to the gravitational force on the car.
The force exerted by the road on the car is maximum at position A, hence the net force on the car is directed upward.
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The energy flux from the sun has a peak value of around 1500 W/m2, and solar cells are around
15% efficient. Estimate the area needed to satisfy US energy needs using solar cells, using the
estimates that there are about 350 million people in the US and that we use an average of 90
kW/person. Also assume that there are about 6 hours of "peak" sunlight per day. Answer in square
kilometers (do not put units in your answer, however).
Answer:
Power required = 3.5E8 * 9.0E4 = 3.2E13 (watts)
Power supplied = 1.5E3 * .15 * 3600 * 6 (watts / m^2) * A
= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A
A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10 = 6.5 km*2 (1 km^2 = 10E6 m^2)
Note: 1 W = 1 J / sec 1 kw = 1000 W
The area needed to satisfy US energy needs using solar cells 6.5 km²
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Power required = 3.5E8 * 9.0E4 = 3.2E13 (watts)
Power supplied = 1.5E3 * .15 * 3600 * 6 (watts / m^2) * A
= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A
A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10
= 6.5 km*2
The area needed to satisfy US energy needs using solar cells 6.5 km².
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PLS HELPP
Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.
The other pancakes are at various temperatures and Conduction refers to the mode of transfer of thermal energy that arise when the two bodies are in close contact.
Briefing:The other pancakes are presumably at different temperatures in this scenario. If this is the case, then due to the thermal energy transfer, the pancake with the highest temperature should be the warmest at the bottom. Conduction is the process through which thermal energy is transferred when two bodies are in close proximity to one another.
How is temperature measure?Thermometers are used to measure the air's temperature. Common thermometers have a glass rod inside of which is a very thin tube. A liquid is delivered to the tube from a reservoir, or "bulb," at the thermometer's base. Sometimes the liquid is reddish alcohol, and other times it is mercury.
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A 55 kg boy is riding a skateboard at a speed of 1.0 m/s. What is his
kinetic energy?
Answer:
27.5
Explanation:
KE=1/2m(v)^2
What is the net force on the box in the following image?
does a 1.5 v battery have an internal resistance? if the maximum current the battery can supply is 200 ma, what is the value of its internal resistance?
Yes, a 1.5 V battery does have an internal resistance. The value of the internal resistance of the 1.5 V battery is approximately 7.5 ohms.
The internal resistance represents the resistance to the flow of current within the battery itself. When a load is connected to the battery, the internal resistance causes a voltage drop within the battery, reducing the effective voltage delivered to the load.
KBTo calculate the value of the internal resistance of the battery, we can use Ohm's Law. Ohm's Law states that the voltage drop across a resistor is equal to the current passing through it multiplied by its resistance.
Given that the maximum current the battery can supply is 200 mA (0.2 A), and the voltage drop across the battery (internal voltage) is 1.5 V, we can rearrange Ohm's Law to calculate the internal resistance:
Internal resistance = Voltage drop / Current
Internal resistance = 1.5 V / 0.2 A
Internal resistance = 7.5 ohms
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12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
If the coefficient of static friction at all contacting surfaces is determine the inclination at which the identical blocks
The tangent of the angle at which the items slide equals the coefficient of static friction. The measurement of k can be done in a similar way. To accomplish it, push the upper object while angling it upward. The tangent of that angle equals k when the upper object slides along at a constant speed.
Why is the coefficient of static friction determined using an incline?
By calculating the angle at which the force of gravity overcomes the static friction, you can utilize an item that is inclined to calculate the static coefficient of friction.
How can you tell which way static friction is prevailing?
Static friction pushes in the direction you're trying to travel when you walk (see Figure 2 below). In the absence of friction, the foot would slip backwards as it presses on the ground (like walking on ice).
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what is temperature?
how temperature can be measured
Answer:
Temperature is the kinetic energy of the particles of a substance.
Explanation:
The more kinetic energy a particle has the higher it's temperature. In the case of the atmosphere, which is what we are primarily concerned with in Meteorology, we measure this using a mercury thermometer (in certain situations we use an alcohol thermometer and of course modern times have given us things like dewcells and digital thermometers but we always go back to the mercury thermometer for accuracy).
pls help with my science homework
3b
A. Time taken for swing of a pendulum is 2.3 seconds per swing.
B. To find the time for one swing more accurately, the student can increase the number of swings, use a stopwatch with higher precision, minimize external disturbances, and repeat the experiment to calculate the average time.
The time taken for 20 swings of a pendulum is 46 seconds. To find the time for one swing, we need to divide the total time by the number of swings.
a. Time for one swing: 46 seconds / 20 swings = 2.3 seconds per swing.
To find the time for one swing more accurately, the student can employ the following techniques:
1. Increase the number of swings: By measuring the time for a larger number of swings, the student can reduce the impact of measurement errors and obtain a more precise average time. For example, measuring the time for 100 swings and then dividing by 100 would provide a more accurate estimate.
2. Use a stopwatch or timer with higher precision: Using a stopwatch or timer that provides more decimal places or higher precision can help capture smaller time intervals more accurately. This can reduce rounding errors and improve the accuracy of the measurement.
3. Minimize external disturbances: To ensure accurate timing, it is important to minimize external disturbances that may affect the pendulum's motion, such as air drafts or vibrations. Conducting the experiment in a controlled environment can help reduce these disturbances and enhance measurement accuracy.
4. Repeat the experiment: Performing the measurement multiple times and calculating the average time can help account for any inconsistencies or random errors in the measurements. This can lead to a more reliable and accurate estimate of the time for one swing.
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A weightlifter lifts a 350 N set of weights over his head a vertical distance of 2.5 meters above the floor. Calculate the work the athlete does on the weights, assuming he lifts them at a constant speed.
A. 525 J
B. 750 J
C. 1005 J
D. 700 N•m
E. 875 J
Mars has two moons that are most similar in character to ________. Earth's Moon comets small asteroids particles in the rings of Saturn
Answer:
Small asteroids
Explanation:
Mars has 2 moons, Phobos and Deimos, that each have characteristics similar to small asteroids.
The interior of a submarine located at a depth of 45 meters is maintained at normal atmospheric conditions. Find the total force exerted on a 20 cm by 20 cm square window
Answer:
P = ρ g H pressure due to 45 m of water
P = 1000 kg/m^3 * 9.8 m/s^2 * 45 m^2 = 4.41E5 kg/s^2
P = 4.41E5 N/m^2 pressure in excess of atmosphere at surface
F = P * A = 4.41E5 N/m^2 * 1/5 m * 1/5 m = 17,160 N/m^2
2.Write the formula associating energy with power
3.Write the formula associating potential energy with height.
4. By substitution of the formula on question 3 for the formula in question 2, rewrite the formula for power.
(PLEASE PLEASE HELP ASAP ILL MARK BRAINLIEST)
Answer:
\( Power = \frac {mgh}{time} \)
Explanation:
2. Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
\( Power = \frac {Energy}{time} \)
3. Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
4. Substituting the equation in 3 into equation in 2 above, we have;
\( Power = \frac {mgh}{time} \)
light having a wavelength in a vacuum of 580 nm enters a liquid of refractive index 1.6. in this liquid, what is the wavelength of the light?
The wavelength of the light in the liquid is approximately 362.5 nm.
When light passes from one medium to another, its wavelength changes due to the change in the speed of light in different mediums. The relationship between the wavelength of light in vacuum and its wavelength in a different medium is given by the equation:
wavelength in medium = wavelength in vacuum / refractive index of the medium
In this case, the wavelength of the light in a vacuum is given as 580 nm, and the refractive index of the liquid is 1.6.
Let's calculate the wavelength of the light in the given liquid:
wavelength in medium = 580 nm / 1.6
wavelength in medium ≈ 362.5 nm
Therefore, the wavelength of the light in the liquid is approximately 362.5 nm.
In summary, when light with a wavelength of 580 nm in vacuum enters a liquid with a refractive index of 1.6, its wavelength in the liquid is approximately 362.5 nm.
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If the maximum speed of a pendulum bob is 4.5m/s at the lowest point 0, calculate the height Of the pendulum bob above 0where it's velocity is 0 the calculation
The height of the pendulum bob above the lowest point (0), where its velocity is zero, is approximately 2.046 meters
To calculate the height of the pendulum bob above the lowest point (0) where its velocity is 0, we can use the principle of conservation of mechanical energy.
Given:Maximum speed of the pendulum bob = 4.5 m/s
The lowest point (0) represents the reference point for height measurements.
At the lowest point (0), the pendulum bob has maximum kinetic energy and zero potential energy. As the pendulum bob swings upwards, it loses kinetic energy and gains potential energy. At the highest point, its potential energy is maximum, and its kinetic energy is zero.The total mechanical energy (E) of the pendulum bob remains constant throughout its motion:E = Kinetic energy + Potential energy. At the lowest point (0), the entire energy is in the form of kinetic energy, given by: E_lowest = Kinetic energy_lowest .E_lowest = (1/2)mv^2, where m is the mass of the bob and v is the velocity at the lowest point.At the highest point where the velocity is zero, the entire energy is in the form of potential energy: E_highest = Potential energy_highest
E_highest = mgh, where m is the mass of the bob, g is the acceleration due to gravity, and h is the height above the reference point (0). Since the mechanical energy is conserved, we can equate the energies at the lowest and highest points: (1/2)mv^2 = mgh
Simplifying and solving for h:
h = (v^2) / (2g)
Substituting the given values:
v = 4.5 m/s (maximum speed)
g = 9.8 m/s^2 (acceleration due to gravity)
h = (4.5 m/s)^2 / (2 × 9.8 m/s^2)
h = 2.046 m.
Therefore, the height of the pendulum bob above the lowest point (0), where its velocity is zero, is approximately 2.046 meters.
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