a block of mass 10.0 kg sits on a 30o incline, with a rope attached as shown. the rope slides over a frictionless pulley and from it hangs a second block of mass m. the coefficient of kinetic friction is 0.325. what must the mass m be, such that the 10.0-kg block sides down the incline at a constant velocity?

Answers

Answer 1

The mass m of the block, which is travelling at a constant speed, can be any amount larger than zero.

To determine the mass of the second block, we need to analyze the forces acting on the system and set up an equation based on the condition of constant velocity.

Let's denote the mass of the second block as m.

The gravitational force acting on the 10.0 kg block can be split into two components: one parallel to the incline (mg sinθ) and one perpendicular to the incline (mg cosθ).

The frictional force acting on the 10.0 kg block can be calculated as μN, where μ is the coefficient of kinetic friction and N is the normal force.

The tension in the rope can be denoted as T.

Since the block is moving at a constant velocity, the net force acting on it in the direction of motion is zero. This can be expressed as:

T - mg sinθ - μN = 0

The normal force can be calculated as N = mg cosθ.

Substituting this value into the equation, we have:

T - mg sinθ - μ(mg cosθ) = 0

Now, let's consider the second block hanging from the rope. The tension in the rope is also equal to the weight of the second block:

T = mg

Substituting this value into the equation above, we get:

mg - mg sinθ - μ(mg cosθ) = 0

Simplifying the equation, we have:

m - m sinθ - μ(m cosθ) = 0

Now we can solve for the mass m by rearranging the equation:

m(1 - sinθ - μ cosθ) = 0

[tex]m = \frac{0}{{1 - \sin\theta - \mu \cos\theta}}[/tex]

Since the block is moving at a constant velocity, the mass m can be any value greater than zero.

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Related Questions

The Paschen series is analogous to the Balmer series, but with m=3.
Calculate the wavelengths of the first three members in the Paschen series.
What part of the electromagnetic spectrum are these in?
visible, infrared,untraviolet, or xray?

Answers

Infrared,untraviolet, or xray of the Paschen series are in the infrared part of the electromagnetic spectrum.The wavelengths of the first three members in the Paschen series can be calculated using the following formula:1/λ = R(1/32 - 1/m^2)

where λ is the wavelength, R is the Rydberg constant (1.0974 x 10^7 m^-1), and m is the quantum number.

For the Paschen series, m = 3. Therefore, the first three members can be calculated as follows: n = 4 (Paschen series starts at n = 4)

1/λ = R(1/32 - 1/9)

λ = 1875.1 nm (infrared)

n = 5

1/λ = R(1/32 - 1/16)

λ = 1281.8 nm (infrared)

n = 6

1/λ = R(1/32 - 1/25)

λ = 1093.1 nm (infrared)

As we can see, all three members of the Paschen series are in the infrared part of the electromagnetic spectrum. The Paschen series corresponds to transitions between an excited state with n ≥ 4 and the n = 3 state. These transitions result in the emission of photons with longer wavelengths than those in the Balmer series, which corresponds to transitions between the excited state with n ≥ 3 and the n = 2 state, and produces visible light.

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The wavelengths of the first three members in the Paschen series are approximately 1875 nm, 1282 nm, and 1094 nm.

The wavelengths of the Paschen series can be calculated using the formula 1/λ = R_H * (1/m^2 - 1/n^2), where λ is the wavelength, R_H is the Rydberg constant for hydrogen, m is the initial energy level, and n is the final energy level. Since we are given that m = 3, we can substitute this value into the formula to find the wavelengths. The calculated wavelengths for the first three members of the Paschen series are approximately 1875 nm, 1282 nm, and 1094 nm. These wavelengths fall within the infrared region of the electromagnetic spectrum.

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Look at the diagram provided. What would be the mechanical energy at Point #4?

Answers

Answer:

18000 J

Explanation:

From the question given above, the following data were obtained:

At point 4:

Mass of cart = 600 Kg

Velocity of cart (v) = 7.745 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 600 × 7.745²

KE = 300 × 7.745²

KE ≈ 18000 J

Therefore, the mechanical energy of the cart at point 4 is 18000 J

What is the plate tectonic theory? *

Answers

Answer:

Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago

If you mix cold milk with hot coffee in an insulated Styrofoam TMTM cup, which of the following things happens?
A. The entropy of the milk increases.
B. The entropy of the coffee decreases by the same amount that the entropy of the milk increases.
C. The net entropy of the coffee-milk mixture does not change, because no heat was added to this system.
D. The entropy of the coffee-milk mixture increases.

Answers

The mixing of cold milk with hot coffee in an insulated Styrofoam TMTM cup is an example of heat transfer. Heat is transferred from the hot coffee to the cold milk until they reach thermal equilibrium.

During this process, the total entropy of the system, which includes the coffee, milk, and the Styrofoam cup, increases. This is because heat is transferred from the hot coffee to the cold milk, and the entropy of the cold milk increases more than the entropy of the hot coffee decreases.

Therefore, the correct answer is D. The entropy of the coffee-milk mixture increases.

When cold milk is mixed with hot coffee in an insulated Styrofoam TMTM cup, the entropy of the system increases. This means that the disorder or randomness of the particles within the system increases.

In this case, the milk particles gain energy and move faster, increasing their entropy. At the same time, the coffee particles lose energy and slow down, decreasing their entropy. However, because the system is insulated, no heat is added to or removed from it, which means that the overall entropy of the coffee-milk mixture does not change. Therefore, the correct answer is C - the net entropy of the coffee-milk mixture does not change because no heat was added to the system. It's worth noting that the Styrofoam TMTM cup is insulated and helps to reduce the transfer of heat between the system and the surroundings, which is why the heat exchange is limited to the coffee and milk mixture only.

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Lucas works in a laboratory that conducts research on the use of transgenic plants to make antibodies and hormones. What field is Lucas working in?
a) genetic engineering
b) biopharming
c) agricultural science
d) bioengineering

Answers

Lucas works in the biopharming field. (Hope it’s right!)
The answer is b hope this help

Assume that a 25 W light bulb gives off 2.50% of its energy as visible light.
How many photons of visible light are given off in 1.00min? (Use an average visible wavelength of 550nm.)

Answers

To calculate the number of photons of visible light given off by the 25 W bulb in 1.00 minute, we need to use the following formula:

Energy of one photon = hc/λ

Where h is Planck's constant (6.626 x 10^-34 J.s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of visible light (550 nm or 5.50 x 10^-7 m).

Using this formula, we can calculate the energy of one photon of visible light as follows:

Energy of one photon = (6.626 x 10^-34 J.s) x (2.998 x 10^8 m/s) / (5.50 x 10^-7 m)
Energy of one photon = 3.61 x 10^-19 J

Next, we need to calculate the total energy given off by the 25 W bulb in 1.00 minute. To do this, we can use the following formula:

Energy = power x time

Where power is the wattage of the bulb (25 W) and time is the duration of emission (1.00 min or 60 s).

Energy = 25 W x 60 s
Energy = 1500 J

Now, we can calculate the number of photons of visible light given off by the bulb in 1.00 minute by dividing the total energy by the energy of one photon:

Number of photons = Energy / Energy of one photon
Number of photons = 1500 J / 3.61 x 10^-19 J
Number of photons = 4.16 x 10^21 photons

Therefore, the 25 W bulb gives off approximately 4.16 x 10^21 photons of visible light in 1.00 minute.

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why was galileo unable to formulate equations to describe motion?

Answers

Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.

Explanation:

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

Galileo introduced two different propositions to describe motion of an object, which includes;

uniform acceleration of an objectfree fall of objects

Galileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.

Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".

Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.

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What power contact lens must be used to correct the vision of a nearsighted person whose far point is 40 cm?A) 2.5 dioptersB)-2.5 dioptersC)-3.6 dioptersD)-4.0 dioptersE) 4.0 diopters

Answers

The correct answer is option E) 4.0 diopters. which is the positive equivalent of a 2.5-diopter concave lens.


To correct the vision of a nearsighted person whose far point is 40 cm, we need to use a concave lens with a negative power. The formula for calculating the power of a lens is P = 1/f, where P is the power in diopters and f is the focal length in meters. The far point of the person is 40 cm or 0.4 meters, so the focal length of the lens needed is f = -0.4 meters. Therefore, P = 1/-0.4 = -2.5 diopters.

However, since we need a concave lens, we must take the negative of the calculated value, which is 2.5 diopters. Therefore, the correct answer is option E) 4.0 diopters, which is the positive equivalent of a 2.5 diopter concave lens.

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A gas has an initial volume of 2.5 L at a temperature of 275 K and a pressure of 2.1 atm. The pressure of the gas increases to 2.7 atm, and the temperature of the gas increases to 298 K. What is the final volume of the gas, rounded to the nearest tenth? 2.1 L 2.5 L 2.7 L 3.0 L

Answers

Answer:

2.10L

Explanation:

Given data

V1= 2.5L

T1= 275K

P1= 2.1atm

P2= 2.7 atm

T2= 298K

V2= ???

Let us apply the gas equation

P1V1/T1= P2V2/T2

substitute into the expression we have

2.1*2.5/275= 2.7*V2/298

5.25/275= 2.7*V2/298

Cross multiply

275*2.7V2= 298*5.25

742.5V2= 1564.5

V2= 1564.5/742.5

V2= 2.10L

Hence the final volume is 2.10L

(a) If the electric field E is uniform in a region, what can you infer about the electric potential V? (b) If V is uniform in a region of space, what can you infer about E?

Answers

If V is uniform, it means that there is no change in electric potential with respect to position. E must be zero in that region.

(a) If the electric field E is uniform in a region, we can infer that the electric potential V varies linearly with respect to the position within that region. This is because the electric field is related to the electric potential through the equation:
E = -dV/dx
where E is the electric field, V is the electric potential, and dx is the position. If E is uniform, the rate of change of V with respect to position (dV/dx) is constant. Therefore, V varies linearly within the region.
(b) If the electric potential V is uniform in a region of space, we can infer that the electric field E is zero in that region. This conclusion comes from the same equation mentioned above:
E = -dV/dx
If V is uniform, it means that there is no change in electric potential with respect to position (dV/dx = 0). Therefore, E must be zero in that region.

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(a) If the electric field E is uniform in a region of space, it means that the electric field has the same magnitude and direction at every point in that region. From this, we can infer that the electric potential V in that region changes linearly with distance.

This is because the relationship between electric field and electric potential is given by E = -dV/dr, where dV is the change in potential and dr is the distance. In a uniform electric field, the rate of change of the electric potential with distance will be constant.

(b) If the electric potential V is uniform in a region of space, it means that the electric potential has the same value at every point in that region. From this, we can infer that the electric field E in that region is zero.

This is because, as mentioned earlier, the relationship between electric field and electric potential is given by

E = -dV/dr. If the electric potential is uniform, the change in potential (dV) is zero, which means the electric field E must also be zero in that region.

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in a paragraph explain how electncity is generated at a power plant. please don't answer if you don't know ​

Answers

Answer:

A turbine spins to generate electricity. There are many ways to spin the turbine by using water, steam, nuclear and so on.

A circuit consists of three resistors, R1

Answers

A circuit is a closed loop through which electricity flows. In this particular circuit, there are three resistors, which are electronic components designed to resist the flow of electrical current.

R1 refers to one of these resistors, and its specific value (measured in ohms) will determine how much it resists the current passing through the circuit. The combination of all three resistors will affect the overall resistance of the circuit, which in turn affects the amount of current flowing through it.


A circuit with three resistors, R1, R2, and R3, refers to an electrical setup where these resistors are connected either in series, parallel, or a combination of both. Resistors are passive components that limit or regulate the flow of electrical current in the circuit. The value of R1 indicates the amount of resistance provided by the first resistor in the circuit, which influences the overall current and voltage distribution within the system.

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George rides his bike to his friend’s house that is 5 kilometers from his house. If he rides his bike at an average speed of 15 km/h, how long will it take him to get to his friend’s house?

Answers

Answer:

The answer is 0.33 H!

Explanation:

what is the area of a car that touches the road if the car's weight on that tire is 3072 N and the pressure exerted on the road is 48 pa​

Answers

Answer:

Car's touch area = 64 m²

Explanation:

Given:

Weight of car = 3,072 N

Pressure = 48 pa

Find:

Car's touch area

Computation:

Area = Force / Pressure

Car's touch area = 3,072 / 48

Car's touch area = 64 m²

Find the momentum of a 3.0 kg mass when it is stopped

Answers

Answer:

4,0kg it is stopped!!!!!

The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.

What is momentum?

Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s².  Momentum represents the mass of the moving body.

Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.

From the given,

mass of the object = 3 kg

the velocity of the object = 0 (when the body is stopped v=0)

the momentum, p = m×v

p = 3×0

   = 0

The linear momentum of the object is zero.

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a speaker puts out 25 w. what would be the decibel level for a person standing 8.0 m away?

Answers

A speaker putting out 25 watts would have a decibel level of approximately 61 dB for a person standing 8.0 meters away.

To calculate the decibel level, we need to use the formula: dB = 10 log (P2/P1), where P2 is the power output (in watts) and P1 is the reference power (in watts). The reference power is typically 0.00002 watts, which is the threshold of human hearing.

Using the formula, we get: dB = 10 log (25/0.00002) = 60.96 dB, which we can round up to 61 dB.

It's important to note that decibel levels are logarithmic, which means that a small increase in power output can result in a large increase in decibel level. In this case, if the speaker's power output was doubled to 50 watts, the decibel level would increase to approximately 64 dB, which is significantly louder.

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If you climb to the top of Mt. Everest, you will be 8850 m (about 5.50 mi) above sea level.
What is the acceleration due to gravity at this altitude?

Answers

Answer:

9.773m/s2

Explanation:

Given,

h=8848m

The value of sea level is 9.08m/s2

So,

Let g′ be the acceleration due to the gravity on the Mount Everest.

g′=g(1−h2h)

=9.8(1−640000017696)

=9.8(1−0.00276)

9.8×0.99724

=9.773m/s2

Thus, the acceleration due to gravity on the top of Mount Everest is =9.773m/s2

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you drive for 30min at 100kmh and then stop for 15 min you then drive for 45 min at 80 kmh your average speed for the entrie trip was

Answers

The average speed for the entire trip was approximately 73.33 km/h.

How to calculate the average speed for the entire trip?

To calculate the average speed for the entire trip, we need to consider the distances traveled during each segment of the trip and the total time taken.

Segment 1: You drive for 30 minutes at 100 km/h.

Distance = (speed) x (time) = 100 km/h x 0.5 h = 50 km

Segment 2: You stop for 15 minutes. During this time, no distance is covered.

Segment 3: You drive for 45 minutes at 80 km/h.

Distance = (speed) x (time) = 80 km/h x 0.75 h = 60 km

Total distance covered = Distance in Segment 1 + Distance in Segment 3 = 50 km + 60 km = 110 km

Total time taken = Time in Segment 1 + Time in Segment 2 + Time in Segment 3 = 0.5 h + 0.25 h + 0.75 h = 1.5 h

Average speed = Total distance covered / Total time taken = 110 km / 1.5 h = 73.33 km/h

Therefore, the average speed for the entire trip was approximately 73.33 km/h.

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if the a of a monoprotic weak acid is 6.2×10−6, what is the ph of a 0.29 m solution of this acid?

Answers

The pH of a 0.29 M solution of a monoprotic weak acid with a Ka of 6.2×10⁻⁶ is 2.94.

To find the pH of a 0.29 M solution of a monoprotic weak acid with a Ka of 6.2×10⁻⁶, we first need to calculate the concentration of H+ ions in the solution.

Ka is the acid dissociation constant, which represents the strength of the acid. It is defined as [H+][A-]/[HA], where [H+] is the concentration of H+ ions, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the weak acid.

Since the acid is monoprotic, we can assume that all of the weak acid dissociates into H+ and A-. Therefore, we can write the equation:

Ka = [H+][A-]/[HA] = [H+]²/[HA]

Rearranging this equation, we get:

[H+] = sqrt(Ka x [HA])

Substituting the given values, we get:

[H+] = sqrt(6.2×10⁻⁶ x 0.29) = 1.15×10⁻³ M

Now that we know the concentration of H+ ions in the solution, we can calculate the pH using the formula:

pH = -log[H+]

Substituting the calculated value, we get:

pH = -log(1.15×10−3) = 2.94

Therefore, the pH of a 0.29 M solution of a monoprotic weak acid with a Ka of 6.2×10⁻⁶ is 2.94.

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When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures

Answers

Answer:

c) affects

Explanation:

im like 90% sure

which factor,more than any other,determines the geological destiny of a terrestrial planet?

Answers

The factor that more than any other determines the geological destiny of a terrestrial planet is its internal heat. The internal heat of a planet plays a crucial role in shaping its geological processes and features over time. One such process is radioactive decay of elements in the core of the planet.

The internal heat of a terrestrial planet is primarily generated through various processes, such as radioactive decay of elements in its core and residual heat from its formation. This heat drives important geological activities like mantle convection, plate tectonics, and volcanic activity. These processes are responsible for the formation of mountains, valleys, and other geological formations, as well as the recycling of Earth's crust and the redistribution of minerals and resources.

The intensity and distribution of internal heat directly influence the planet's surface temperature, composition, and geologic activity. Planets with higher internal heat tend to have more dynamic and active geological processes, while those with lower internal heat may experience slower or dormant geological activity. Therefore, the level and distribution of internal heat within a terrestrial planet are key factors in determining its geological destiny and shaping its surface features over geological timescales.

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When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. Affect
D. Structures

Answers

D. structures
Because the structures in our body affect other systems in the body causing someone to get sick

Answer:

C. affects

Explanation:

affect means to impact or change. When the system fails it's it impacts or affects the others systems so they become sick.

a driver drives to depth of 20cm below the surface of water of density 1.0x10 cubed km3 the pressure he experiences isNm-2​

Answers

Answer:

[tex]20.61\times 10^{5}Nm^{-2}[/tex]

Explanation:

We are given that

h=20 cm=0.20m

1m=100 cm

Density of water=[tex]\rho=1.0\times 10^3 kg/m^3[/tex]

We have to find the pressure experienced by driver at that depth.

Atmospheric pressure, P0=101 kPa

Pressure experience by driver

[tex]P=\rho hg+P_0[/tex]

Where [tex]g=9.8[/tex]

[tex]P=1.0\times 10^3\times 0.20\times 9.8+101[/tex]

[tex]P=2061KPa[/tex]

1 KPa=[tex]1000Nm^{-2}[/tex]

[tex]P=2061\times 1000=2061000N/m^2[/tex]

[tex]P=20.61\times 10^{5}Nm^{-2}[/tex]

If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)?

Answers

Answer:

Explanation:

Givens

delta mv = ?

m = 2 kg

vi = 6 m/s   right is positive

vf = - 4 m/s  left

Formula

delta mv = m (vf - vi)

Solution

delta mv = 2 * (-4 - 6)

delta mv = 2 * - 10

delta mv = - 20 kg m/s

A 2. 4 kg toy falls from 2 m to 1 m. What is the change in GPE

Answers

The change in gravitational potential energy (GPE) is approximately 19.6 J. The change in GPE can be calculated using the formula: ΔGPE = m * g * Δh,

where m is the mass (2.4 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the change in height (2 m - 1 m = 1 m). Plugging in the values, we get: ΔGPE = 2.4 kg * 9.8 m/s² * 1 m = 23.52 J. Rounding to the nearest tenth, the change in GPE is approximately 19.6 J. The change in gravitational potential energy (GPE) is approximately 19.6 J. The change in GPE can be calculated using the formula: ΔGPE = m * g * Δh, where m is the mass (2.4 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the change in height (2 m - 1 m = 1 m). Plugging in the values, we get: ΔGPE = 2.4 kg * 9.8 m/s² * 1 m = 23.52 J.

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PLEASSSSSEE! PLEASE ANSWER!!! I AM DESPERATE AND THIS IS EXTEMELY URGENT! I NEED AN ANSWER ASAPPP!!!!

Answers

Answer:

most potential is someone in an airplane. second is position A, third is position c, fourth is position D, fifth is position B and least potential is a person standing on the ground.

Explanation:

hopefully you understand what I wrote

Which body system allows the student to sense the water and sand textures?

Muscular


Nervous

Skeletal

Immune

Answers

The body system that allows students to sense the water and sand textures is the nervous system

Option B is correct. The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.

What is the nervous system?

The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.

As we get to higher animals, the nervous system becomes more complicated. jellyfish, have very basic neural nets that run throughout their bodies. Crabs have a more complex nervous system.

The neural system in the human body combines organ activity depending on inputs detected and sent by neurons. They send out information.

Thus Option B is correct.

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boyle's law states that for a certain gas in a container we have p ⋅ v = 370 where p represents the pressure of the gas (in mmhg) and v represents the volume of the gas (in liters). True or False

Answers

The statement "boyle's law states that for a certain gas in a container we have p ⋅ v = 370 where p represents the pressure of the gas (in mmhg) and v represents the volume of the gas (in liters)" is false.

Boyle's law states that for a fixed amount of gas at a constant temperature, the pressure (p) and volume (v) of the gas are inversely proportional.

Mathematically, Boyle's law is represented as p * v = constant, meaning that as the pressure increases, the volume decreases, and vice versa, as long as the temperature remains constant.

The equation p * v = 370 does not represent Boyle's law, as there is no indication of the constant value. In Boyle's law, the product of pressure and volume remains constant, allowing for the comparison of different states of the gas.

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find the weight of an astronaut whose mass is 75 kg on the moon

Answers

The formula for weight is always weight=mass X gravitational field strength.
We already know the mass is 75kg.
The gravitational field strength on the moon is 1.6N. To find out the weight, we can substitute these values in to the formula.
Weight=75 X 1.6
Weight= 120N
Weight is measured on Neutons as it is a force.

The earth is approximately spherical, with a diameter of 1.27 x 10 mn. It takes 24.0 hours for the earth to complete one revolution. Part A What is the tangential speed of a point on the surface of the earth, at the equator? Express your answer with the appropriate units. Value Units Submit Request Answer Part B What is the radial acceleration of a point on the surface of the earth, at the equator? Express your answer with the appropriate units. HAR OO? Value Units Qurad =

Answers

The tangential speed of a point on the surface of the earth, at the equator will be 463 m/s.

The radial acceleration of a point on the surface of the earth, at the equator is 0.034 [tex]m/s^2[/tex].

Part A: The tangential speed of a point on the surface of the earth at the equator can be calculated as the circumference of the earth divided by the time it takes for one revolution. The circumference of the earth is given by:

C = πd = π(1.27 x [tex]10^7[/tex] m) = 4.00 x [tex]10^7[/tex] m

The time for one revolution is given as 24.0 hours, which is equal to 86,400 seconds. Therefore, the tangential speed of a point on the surface of the earth at the equator is:

v = C/t = (4.00 x [tex]10^7[/tex] m)/(86,400 s) = 463 m/s

Part B: The radial acceleration of a point on the surface of the earth at the equator can be calculated using the equation:

ar = [tex]v^2[/tex]/r

where v is the tangential speed and r is the radius of the earth. At the equator, the radius of the earth is equal to its diameter divided by 2, or 6.35 x[tex]10^6[/tex] m. Therefore, the radial acceleration is:

ar =[tex]v^2[/tex]/r = (463 [tex]m/s)^2[/tex]/(6.35 x[tex]10^6[/tex] m) = 0.034 [tex]m/s^2[/tex]

Thus, the radial acceleration of a point on the surface of the earth at the equator is approximately 0.034 [tex]m/s^2[/tex].

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