Answer:
44.3 m/s
Explanation:
a) Draw a free body diagram of the mass M. There are three forces:
Weight force mg pulling down,
Normal force N pushing perpendicular to the ramp,
and tension force T pulling parallel up the ramp.
Sum of forces in the parallel direction:
∑F = ma
T − Mg sin 30° = 0
T = Mg sin 30°
T = Mg / 2
Draw a free body diagram of the hanging mass m. There are two forces:
Weight force mg pulling down,
and tension force T pulling up.
Sum of forces in the vertical direction:
∑F = ma
T − mg = 0
T = mg
Substitute:
mg = Mg / 2
m = M / 2
M = 2m
b) Velocity of a standing wave in a string is:
v = √(T / μ)
T = mg, and m = 5 kg, so T = (5 kg) (9.8 m/s²) = 49 N. Therefore:
v = √(49 N / 0.025 kg/m)
v = 44.3 m/s
Why the range of a clinical thermometer kept between 35°C and 42°C?
Answer:
Because it is the standard operational range for measuring the body temperature of a living individual.
Explanation:
When making a measuring equipment like a thermometer, you attempt to keep the reading range (Span) as small as possible so that the reading is as accurate as feasible. Because sensors are often rated in percent of span (in this example, span = 45 C–32 C = 13 degrees Celsius), One percent of 13 equals 0.13 degrees Celsius, thus if your sensor has a usual accuracy of 1%, your temperature reading is accurate to roughly 0.1 degrees Celsius.
Your precision would be 0.2 degrees Celsius if you doubled the span. The reading accuracy is now becoming unsatisfactory. Readability is another advantage of analog and mercury clinical thermometers. The markings for 0.1 deg C would be ten times closer together if a mercury thermometer had ten times the range (span). There is a limit to the device's readability.
Saturn's mass is 5.68 x 1024 kg and its radius is 6.03 x 107 m. A. Calculate the gravitational field strength at Saturn's surface. (2 marks) B. Calculate the force of gravity at Saturn's surface on an object with a mass of 50 kg.
Hi there!
A.
We can calculate the gravitational field strength using the following equation:
\(g = \frac{Gm_p}{r^2}\)
G = Gravitational Constant
mp = mass of planet (kg)
r = radius (m)
Plug in the given values:
\(g = \frac{(6.67*10^{-11})*(5.68*10^{24})}{(6.03*10^7)^2} = \boxed{0.104 N/kg}\)
B.
The force can be calculated using:
\(F_g = \frac{Gm_1m_2}{r^2}\)
Plug in the values:
\(F_g = \frac{(6.67*10^{-11})(5.68*10^{24})(50)}{(6.04*10^7)^2} = \boxed{5.209N}\)
Answer:
\(\boxed {\boxed {\sf g=0.104 \ N/kg \ and \ F_g= 5.2 \ N }}\)
Explanation:
A. Gravitational Field Strength
The gravitational field strength can be calculated using the following formula:
\(g= \frac{Gm}{r^2}\)
G, or the universal gravitational constant, is 6.67 × 10⁻¹¹ N*m²/kg². The mass of Saturn is 5.68 × 10²⁴ kilograms. The radius of Saturn is 6.03×10⁷ meters.
Substitute these values into the formula.
\(g= \frac{ (6.67 \times 10^{-11} \ N*m^2/kg^2) (5.68 \times 10^{24} \ kg)}{(6.03 \times 10^{7} \ m )^2}\)
Multiply the numerator and square the denominator.
\(g= \frac{ 3.78856 \times 10^{14} \ N *m^2/kg }{3.63609 \times 10^{15} \ m^2}\)
Divide.
\(g= 0.1041932405 \ N/kg\)
The original measurements of mass and radius have 3 significant figures, so our answer must have the same. For the number we found, that is the thousandth place. The 1 in the ten-thousandth place tells us to leave the 4 in the thousandth place.
\(\boxed {g \approx 0.104 \ N/kg}\)
B. Force of Gravity
The force of gravity is calculated using the following formula:
\(F_g= mg\)
The mass of the object is 50 kilograms. We just calculated the gravitational field strength, which is 0.104 Newtons per kilogram. Substitute these values into the formula.
\(F_g= (50 \ kg)(0.104 \ N/kg)\)
Multiply. The units of kilograms cancel.
\(\boxed {F_g=5.20 \ N}\)
Decribe the word deceleration . Does it describe a vector quantity?
Answer: deceleration is considered to describe a decrease or negative change of speed or velocity. ... Three of these namely time, distance and speed are scalar quantities, whereas the remaining three attributes namely displacement, velocity and acceleration are vectors.
Explanation:
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nozz 12. Figure P14.43 shows a stream of water in steady flow from a kitchen faucet. At the faucet the diameter of the stream is 0.960 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet.
The diameter of the stream below the opening of the faucet is 1.94 cm.
How to find diameter?The diameter of the stream can be found using the formula for the velocity of steady flow in a cylindrical stream:
v = Q / (πr²)
Where Q is the volume flow rate (volume per time), v is the velocity, and r is the radius of the stream.
By rearranging this equation and using the known values of the volume and time, find the radius of the stream 13.0 cm below the opening of the faucet:
r² = Q / (πv) = (125 cm³) / (π x (13.0 cm)² / 4)
r = √(125 / (π x (13.0 cm)² / 4)) = 0.97 cm
2r = 2 x 0.97cm = 1.94 cm
So the diameter of the stream 13.0 cm below the opening of the faucet would be 1.94 cm.
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Drag the correct arrow to the diagram.
The diagram shows a series of volcanic islands and a hot spot. Determine the direction of movement of the tectonic plate that helped form the islands.
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ocean
series of volcanic islands
motion of plate
hot
spot
Convergent boundaries occur when two plates move in the opposite direction until they collide and create mountains and volcanoes. In the image, the arrows direction is horizontal and oposite to each other.
What are convergent boundaries?
Collision area between two plates. The collition might occur between,
Two oceanic platesOne oceanic plate with a continental one, Two continental plates.When two oceanic plates collide, magma rises to the surface by crevices, creating volcanic arches. In these boundaries occur vertical movements and might originate from protruding areas. There is compressional stress between plates.
In the image, the arrows direction is horizontal and oposite to each other.
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Question 1 of 10
A business must decide whether to open a new office in China. If it opens the
branch, it will increase its chances of selling a high volume of its products in
China. On the other hand, the business will have to spend a lot of money to
make the branch operational.
What would be an opportunity cost for the business if it chooses not to open
the new branch in China?
A. The business would lose the chance to make more money in
China.
B. The business would increase its marginal benefits on each
product it makes.
Which of the following actions will increase the electric field strength at the position of the dot? - Make the rod longer without changing the charge. - Make the rod shorter without changing the charge. - Make the rod fatter without changing the charge.- Make the rod narrower without changing the charge. - Remove charge from the rod
E: "Removing charge from the rod" will increase the electric field strength at the position of the dot.
The electric field strength at the position of the dot depends on the charge and the distance from the charge. Therefore, any change that affects the charge or the distance will also affect the electric field strength.
A and B - Changing the length of the rod without changing the charge does not affect the charge density, and thus does not affect the electric field strength at the position of the dot. Therefore, options A and B are not correct.C and D - Changing the cross-sectional area of the rod without changing the charge does affect the charge density, and therefore can affect the electric field strength at the position of the dot. However, it is not clear how changing the rod's shape will affect the charge density, and so it is not possible to determine whether option C or D will increase or decrease the electric field strength. Therefore, options C and D are not correct.E - Removing charge from the rod will decrease the charge, and therefore decrease the electric field strength at the position of the dot. Therefore, option E is correct.You can learn more about electric field strength at
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Block A and Block B are at rest on a frictionless table. Block A has a mass of 3.9 kg, and Block B has a mass of 6.4 kg. A force of 57 N is applied to Block A, as shown.
Using the single-system method, what is the acceleration of the system?
Masses m and 2m are joined by a light inextensible string which runs without slipping over a uniform circular pulley of mass 2m and radius a. Using the angular position of the pulley as generalized coordinate, write down the Lagrangian function and Lagrange's equation. Find the acceleration of the masses.
Answer: the acceleration of the masses is given by = 0, which means the angular acceleration of the pulley is zero. This implies that the masses m and 2m move with constant velocity, they are in equilibrium.
A mass of 20kg which moved vertically produced a momentum of 300kg.m/s, how much power was needed to move the mass?
Answer:
Power is 3000 W
Explanation:
Momentum = mass × velocity
\(300 = 20 \times v \\ velocity = 15 \: {ms}^{ - 1} \)
For power:
\(P = \frac{force \times distance}{time} \\ \\ P = force \times ( \frac{distance}{time} )\)
but distance/time is velocity, so:
\(P = force \times velocity\)
but force = mass × acceleration:
\(P = (mass \times acceleration) \times velocity \\ P = (20 \times 10) \times 15 \\ P = 3000 \: \: watts\)
[ taken acceleration to be 10 m/s² ]
6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-
The minimum stopping distance of the car is determined as 8 m.
What is the minimum stopping distance?The minimum stopping distance of the car is calculated as follows;
d = (u²)/(2a)
where;
d is the minimum stopping distanceu is the initial velocitya is the acceleration of the carwhen the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s
2 = (11.11²)/(2a)
a = (11.11²)/(2 x 2)
a = 30.86 m/s²
when the speed becomes 80 km/h, the minimum stopping distance is calculated as;
u = 80 km/h = 22.22 m/s
d = (22.22² )/ (2 x 30.86)
d = 8 m
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FILL IN THE BLANK. 10. the mutcd advises examining emergency vehicle lighting policies with the intent of reducing lighting use as much as possible without endangering___at the scene.
the mutcd advises examining emergency vehicle lighting policies with the intent of reducing lighting use as much as possible without endangering_those __at the scene.
what is MUTCD ?
The United States Department of Transportation's Federal Highway Administration issued the Manual on Uniform Traffic Control Devices (MUTCD) for Streets and Highways to explain the standards for the construction, installation, and operation of traffic signs, surface markings, and signals.
All traffic control devices must meet the national standards outlined in the MUTCD. The MUTCD is a nationwide standard on which all public agencies and owners of privately held public highways rely. Because of the MUTCD, all road users benefit from greater safety and mobility.
The MUTCD recommends reviewing emergency vehicle lighting rules in order to reduce lights consumption as much as feasible without harming individuals on the site.
recent edition of the official FHWA document is a July 2022 PDF file that integrates the 2009 MUTCD with Revisions 1, 2, and 3.
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What is density????????????
Why does heating water affect surface tension
As temperature increases, molecules of liquid become more active and they move more rapidly.
Why did humans first develop culture?
A. It helped humans distinguish themselves from wild animals.
B. It helped humans become the dominant species on Earth.
C. It helped the members of a society survive in their environment.
D. It helped individuals survive without the support of a society.
SUBMIT
Answer: C.
Correct me if I'm wrong.
What is the real reason the skies blue
Answer:
Rayleigh scattering
Explanation:
The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.
A ball weighing 3.4 N is thrown with a velocity of 52 m/s. What is the momentum?
Answer:
18 kg * m/s
Explanation:
The equation for momentum is:
momentum = mass * velocity
And although the problem already gave velocity, you must calculate the mass from the graviational force.
Fg = 3.4N = mg = 9.8m
mass = 3.4 N / 9.8 m/s^2 = 0.3469 kg
Momentum = 52m/s * 0.3469 kg - 18.041 kg * m/s = 18
Why is there always plastic coverings around wires? Explain using terms like insulators and conductors.
Explanation:
as there is plastic covering around the wires because at the copper when we cover with like a insulators that can flow current are called insulators for when we when we touch the wire then we get current that's conductor orchid covering of fire so we can't be get a current
what is a shargaff rule
According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.
Who is Chargaff ?Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.
Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.
He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.
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A team of ecologists are studying four different ecosystems with varying levels of biodiversity. The ecologists categorize the different levels of biodiversity for the four ecosystems as shown in the table below.
Genetic Diversity Species Diversity Habitat Diversity
Ecosystem A Low Low Medium
Ecosystem B Medium High Medium
Ecosystem C High Low Low
Ecosystem D Medium Low High
Based on the information above, which ecosystem most likely experienced a recent population bottleneck?
Ecosystem A, because its low genetic diversity could have resulted from an event that reduced the variation in the gene pool.
Ecosystem A, because its low genetic diversity could have resulted from an event that reduced the variation in the gene pool.
A
Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
B
Ecosystem C, because its low habitat diversity indicates an increase in available niches.
Ecosystem C, because its low habitat diversity indicates an increase in available niches.
C
Ecosystem D, because its low species diversity indicates that it also has low species evenness.
Answer:
B. Ecosystem B, because its high species diversity could have resulted from increased competition among its members.
Explanation:
This is because, in the ecosystem with varying level of biodiversity, Ecosystem B has medium level of species diversity found in them with High medium level of habitat diversity which causes increasing competitions among them.
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
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What is the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum
Explanation:
We need to find the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum.
The wavelength in any medium is given by :
\(\lambda_m=\dfrac{\lambda}{n}\)
Where, \(\lambda\) is wavelength in vacuum and n is refractive index of the medium.
\(n=\dfrac{\lambda}{\lambda_m}\\\\n=\dfrac{\lambda}{0.671\lambda}\\\\=\dfrac{1}{0.671}\\\\=1.49\)
So, the medium can be PMMA (acrylic, plexiglas, lucite, perspex) which have a refractive index of 1.49.
The index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.
What is the index of refraction of a material?The index of refraction of a material is the ratio of wavelength of the wave in vacuum to the wavelength of the wave in the given medium.
The index of refraction is inversely proportional to the wavelength. It can be find out using the following formula.
\(n=\dfrac{\lambda}{\lambda_m}\)
Here, (λ) is the wavelength in vacuum and (λm) is the wavelength in a medium.
The index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum (0.671×λ).
Plug in the values in the above formula,
\(n=\dfrac{\lambda}{0.671\times\lambda}\\n=1.49\)
Thus, the index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.
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Compare the weight of a 60 kg person on the earth with the weight of the same person on
the moon. Then, describe a quick (but very costly) way for dieters
at NASA to lose weight.
Answer:
Explanation:
The formula for weight is
W = mg, where
W = the weight of the object or person
m = mass of the object or person
g = acceleration due to gravity
Now, we're given the mass of the person to be 60 kd, and thus, the weight of that person would be
W = 60 * 9.81
W = 588.6 N
On the surface of the moon, the weight of the person would be
W = 60 * 1.625
W = 97.5 N
Therefore, the weight of the person on both surfaces are 588.6 and 97.5 respectively
The picture shows two solutions of salt water. Which solution is more concentrated (has a higher concentration)?
Question 15 options:
The first solution is more concentrated
The second solution is more concentrated
The solutions have the same concentration.
In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated
When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.
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Select the correct answer. What creates an electric force field that moves electrons through a circuit? A. energy source B. load C. metal wires D. resistance
The correct answer is A. An energy source creates an electric force field that moves electrons through a circuit.
Four different vehicles are shown. Assume that all four vehicles are traveling at the same speed on a highway. Which is true about the kinetic energy of the vehicles?
A. The motorcycle has the most kinetic energy because it has the least mass.
B. All of the vehicles have the same kinetic energy because they are moving at the same speed.
C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other
vehicles.
D. The delivery van has the greatest kinetic energy because it has the most tires in contact with the
pavement.
Answer:
Option C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other
vehicles.
Explanation:
Kinetic energy is the energy of an object in motion. Mathematically, it is expressed as:
K.E = ½mv²
Where:
K.E is the kinetic energy.
m is the mass of the object.
v is the velocity of the object.
From the formula above, we can say that:
Kinetic energy is directly proportional to the mass of the object and the square of the velocity of the object. This simply means that objects with higher mass will have a greater kinetic energy than objects will lighter mass even if their velocities are the same.
From the question given above, it is obvious that the delivery van has a greater mass than the rest object.
Therefore, the delivery van will have the greatest kinetic energy because its mass is greater than that of the other
vehicles.
Which organisms were first responsible for depleting carbon dioxide from the atmosphere, replacing it with oxygen?
A) Plants
B) Dinosaurs
C) Cyanobacteria
D) Trilobites
Would you die if you take the car keys out of the ignition and throw them in the back seat while you coast down a mountain-side in an attempt to save fuel and look cool for the girl in said back seat.
Answer:
bro what.
Explanation:
... is this an actual physics question?
A wave travels at a constant speed.How does the frequency change if the wavelength is reduced by a factor of 3 The frequency decreases by a factor of 3 the frequency increases by a factor of 3 the frequency increases by a factor of 9 the frequency does not change
Answer:
The frequency increases by a factor of 3.
Explanation:
The relation between speed, wavelength and frequency of a wave is given by :
\(v=f\lambda\)
or
\(f\propto \dfrac{1}{\lambda}\)
A wave travels at a constant speed. If the wavelength is reduced by a factor of 3, it would mean that the frequency increases by a factor of 3 because there is an inverse relationship between wavelength and frequency.
A train moves from rest to a speed of 25 m/s in 30.0 seconds. What is its
acceleration? (Answer in number only and round to 2 places after the
decimal.) *
Your answer
Answer:
0.83 m/s
Explanation:
25-0÷30=0.83 m/s