if the force acting on a body of mass 40 k.g is doubled by how much will the acceleration change​

Answers

Answer 1

Answer:

Explanation:

Ignoring friction, the acceleration will double

F = ma

2F = m(2a)


Related Questions

Place the following list in order of occurrence from oldest to most recent:
1)appearance of the first oceans on Earth,
2) the Big Bang,
3) contraction of the solar nebula,
4) outgassing of Earth's secondary atmosphere,
5) stellar ignition in our sun,
6) build-up of oxygen in Earth's atmosphere,
7) evolution of photosynthesis.

Answers

Answer:

Explanation:

2.Big bang, 3.contraction of the solar nebula, 5.stellar ignition in our sun, 4.outgassing of earths secondary atmosphere, 1.appearance of the first ocean on earth ,7.evolution of photosynthesis, 6.build- up of oxygen in earths atmosphere.

What is the mass of a toy car if it has 5 J of potential energy and is sitting on top of a track that has a height of 2m?

(PE= m x g x h) (hint g=9.8 m/s2)

Answers

Explanation:

PE=mgh

5=m(9.8)(2)

m=5/19.6

m=0.2251 kg

m=225.1 grams

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Question 5 of 10
Which situation is most likely to lead to improving a scientific theory?
A. Performing experiments that have never been done before
B. Gathering scientists for a brainstorming session
C. Increasing public awareness of the need for scientific research
O D. Analyzing the history of how a theory was developed
SUBMIT

Answers

A should be the answer because in order to find the scientific theory you have to practice experiments

PLEASE HELP ASAPPPPPPPPPPPPPPPPPPP

PLEASE HELP ASAPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Basketball

Explanation:

Im asuming basketball because a basketball has the least movement out of the rest of the answers.

A computer connected to a motion sensor creates a velocity--time graph for a ball rolling down an incline. On the graph, the velocity increases by 0.3 m/s for every tenth of a second increment on the graph. What is the acceleration of the object?

Answers

Answer:

3 m/s²

Explanation:

The acceleration is equal to the change in velocity divided by the change in time. Since the velocity increases by 0.3 m/s for every tenth of a second, we can say that the change in velocity is 0.3 m/s and the change in time is 0.1 s, then the acceleration is equal to:

\(a=\frac{\Delta v}{\Delta t}=\frac{0.3\text{ m/s}}{0.1\text{ s}}=3m/s^2\)

Therefore, the acceleration of the object is 3 m/s²

2. For electric circuit shown in Figure find currents in each resistor.

2. For electric circuit shown in Figure find currents in each resistor.

Answers

The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.

What is the current flowing in each resistor?

The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;

The total voltage in loop 1 is calculated as;

2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

The current flowing in loop 2 is calculated as;

I = V/R

I₂ = ( 6 V - 4 V ) / (3 + 4)

I₂ = 0.286 A

The value of the current flowing in loop 1 is calculated as;

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0

6 - 3I₁ - 3₁ + 0.858 = 0

-6I₁ = -6.858

I₁ = 6.858 / 6

I₁ = 1.14 A

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Which of the following terms represents the number of waves passing a given point each second?Frequency⊝Wavelength⊝Amplitude⊝Velocity⊝CLEAR ALL

Answers

Frequency is defined as number of waves or vibration per unit time.

Therefore, option (a), frequency is the number of waves passing a given point each second, is the correct choice.

X-ray diffraction is used to study the structure of crystallized proteins, nucleic acids, and other biological macromolecules. It was actually the technique used to study the structure of DNA in the early 1950s. X-rays of wavelength 0.24 nm are to used to study the structure of a protein. One of the maxima in intensity is located at 0.8 rad from the crystal planes responsible for this maximum.

1. Which wavelength of x-ray listed below would give you a maximum at the same location?

a. 0.55 nm
b. 0.33 nm
c. 0.77 nm
d. 0.44 nm

2. If this is the first maximum for the X-rays of wavelength 0.22 nm, what is the crystal plane separation of the protein that is responsible?

a. 0.16 nm
b. 0.31 nm
c. 0.14 nm
d. 0.22 nm

Answers

Complete Question

X-ray diffraction is used to study the structure of crystallized proteins, nucleic acids, and other biological macromolecules. It was actually the technique used to study the structure of DNA in the early 1950s. X-rays of wavelength 0.22 nm are to used to study the structure of a protein. One of the maxima in intensity is located at 0.8 rad from the crystal planes responsible for this maximum.

1. Which wavelength of x-ray listed below would give you a maximum at the same location?

a. 0.55 nm

b. 0.33 nm

c. 0.77 nm

d. 0.44 nm

2. If this is the first maximum for the X-rays of wavelength 0.22 nm, what is the crystal plane separation of the protein that is responsible?

a. 0.16 nm

b. 0.31 nm

c. 0.14 nm

d. 0.22 nm

Answer:

1

  The correct option is D

2

  The correct option is A

Explanation:

From the question we are told that

   The wavelength of X-ray used is  \(\lambda = 0.22 \ nm = 0.22 *10^{-9} \ m\)

   The  angular displacement is  \(\theta = 0.8 \ rad = 0.8 *\frac{180}{3.142} = 45 ^o\)

Generally from  Brags equation we have that

      \(2d sin \theta = n \lambda\)

Here d is the distance of separation between that planes of the protein

and  2d is constant given that the separation does not change

So

      \(2d sin (45.84) = n \lambda\)    

Given that 2d is constant in order for the angle for \(\lambda\) to be the same for \(\lambda '\) then  

      \(\lambda'\) must be an integral multiple of  \(\lambda\)

So  

         \(\lambda' = 2 * \lambda\)

=>      \(\lambda' = 2 *0.22\)

=>      \(\lambda' = 0.44 \ nm\)

Considering question 2

From the question we are told that

    The wavelength is  \(\lambda = 0.22 \ nm = 0.22 *10^{-9} \ m\)

Generally from the above equation we have that

         \(d = \frac{\lambda }{2 * sin (\theta )}\)

=>      \(d = \frac{0.22 * 10^{-9} }{2 * sin (45.84 )}\)

=>       \(d = 1.6 *10^{-10 } \ m\)

=>       \(d = 0.16 *10^{-9 } \ m\)

=>       \(d = 0.16 \ nm\)

Precision
O How close together repeated measurements are
O How fast an object moves in a certain amount of time
O A push or a pull; makes things start moving and stop moving
O How close to the true value a measurement is
O The location of an object

Answers

Answer:

how close a true value a measurement is

The location of the object

g the total mechanical energy of the satellite-Earth system when the satellite is in its current orbit is E. In order for the satellite to orbit Earth in a new stable circular orbit at an altitude of 12RE, the energy of the satellite-Earth system must be

Answers

Answer:

The correct answer is "\(\frac{4E}{3}\)".

Explanation:

According to the question,

Energy of satellite,

\(E_s=-\frac{GM_sM_E}{2r}\)

For the very 1st case:

\(r = R_E+R_E\)

  \(=2R_E\)

or,

⇒ \(E=-\frac{GM_sM_E}{4R_E}\)...(1)

For the new case:

\(r = R_E+\frac{R_E}{2}\)

  \(=\frac{3R_E}{2}\)

then,

⇒ \(E'=-\frac{GM_sM_E}{2 \frac{3R_E}{2} }\)

        \(=-\frac{GM_sM_E}{3R_E}\)...(2)

From equation (1) and (2), we get

⇒ \(E'=\frac{1}{3}(4E)\)

        \(=\frac{4E}{3}\)  

Your heart pumps blood into your aorta (diameter 2.5 cm) with a maximum flow rate of about 500 cm^3/s. Assume that blood flow in the aorta is laminar (which is not a very accurate assumption) and that blood is a Newtonian fluid with a viscosity similar to that of water.

a. Find the pressure drop per unit length along the aorta. Compare the pressure drop along a 10 cm length of aorta to atmospheric pressure (105 Pa).
b. Estimate the power required for the heart to push blood along a 10 cm length of aorta, and compare to the basal metabolic rate of 100 W.
c. Determine and sketch the velocity profile across the aorta (assuming laminar flow). What is the velocity at the center

Answers

Answer:

a. i) The pressure drop per unit length is 52,151.89 Pa

ii) The atmospheric pressure ≈ 19.175 × The pressure drop along 10 cm length of aorta

b i) The power required for the heart to push blood along a 10 cm length of aorta, is 2.6075945 Watts

ii) The basal metabolic rate ≈ 38.35 × The power to push the blood along a 10 cm length of aorta

c. i) Please find attached the drawing for the velocity profile created with Microsoft Excel

ii) The velocity at the center is approximately 2.04 m/s

Explanation:

The given diameter of the aorta, D = 2.5 cm = 0.025 m

The maximum flow rate, Q = 500 cm³/s = 0.0005 m³/s

Assumptions;

The blood flow is laminar

The blood is a Newtonian fluid

The viscosity of water ≈ 0.01 poise = 1 cp

a. i) The pressure drop per unit length of pipe ΔP/L is given by the Hagen Poiseuille equation as follows;

\(Q = \dfrac{\pi \cdot R^4}{8 \cdot \mu} \cdot \left(\dfrac{\Delta p}{L} \right)\)

Where;

Q = The flow rate = A·v

A = The cross sectional area

R = The radius = D/2

Δp/L = The pressure drop per unit length of the pipe

Therefore, we have;

\(\dfrac{\Delta p}{L} = \dfrac{Q\cdot 8 \cdot \mu }{\pi \cdot R^4} = \dfrac{0.0005 \times 8 \times 1}{\pi \times 0.0125^4 } = 52151.89\)

The pressure drop per unit length ΔP/L = 52,151.89 Pa

ii) The pressure, ΔP, drop along 10 cm (0.1 m) length of aorta = ΔP/L × x;

∴ ΔP = 52,151.89 Pa × 0.1 m = 5,215.189 Pa

Given that the atmospheric pressure, \(P_{atm}\) = 10⁵ Pa, we have;

\(P_{atm}\)/ΔP = 10⁵/5,215.189 ≈ 19.175

Therefore, the atmospheric pressure is approximately 19.175 times the pressure drop along 10 cm length of aorta

b. i) The power, P = Q × ΔP

Therefore, the power required for the heart to push blood along a 10 cm length of aorta, is P₁₀ = 0.0005 m³/s × 5,215.189 Pa = 2.6075945 Watts

ii) Therefore compared to the basal metabolic rate of, 'P', 100 W, we have;

P/P₁₀ = 100 W/2.6075945 Watts = 38.349521 ≈ 38.35

The basal metabolic rate is approximately 38.35 times more powerful than the power to push the blood along a 10 cm length

c. i) The velocity profile across the aorta is given as follows;

\(v_m = \dfrac{1}{4 \cdot \mu} \cdot \dfrac{\Delta P}{L} \cdot R^2\)

Where;

\(v_m\) = The velocity at the center

We get;

\(v_m = \dfrac{1}{4 \times 1} \times 52,151.89 \times 0.0125^2 \approx 2 .04\)

The velocity at the center, \(v_m\) ≈ 2.04 m/s

ii) The velocity profile, v(r), is given by the following formula;

\(v(r) = v_m \cdot \left[1 - \dfrac{r^2}{R^2} \right]\)

Therefore, we have;

\(v(r) = 2.04 - \dfrac{2.04 \cdot r^2}{0.0125^2} \right] = 2.04 - 163\cdot r^2\)

The velocity profile of the pipe is created with Microsoft Excel

Your heart pumps blood into your aorta (diameter 2.5 cm) with a maximum flow rate of about 500 cm^3/s.

Forces in action worksheet. Need help with this, it's due tomorrow by 8:30am, please help! If you do the bottom 2 for me as well, I will mark brainliest :)

Forces in action worksheet. Need help with this, it's due tomorrow by 8:30am, please help! If you do

Answers

For the bottom you can put a kid being in a swing putting the arrows up and down. For the other one you can put someone jumping that goes up and down too. Hope this helps


A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.

Answers

If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.

To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.

Given:

Mass of the box, m = 210 kg

Tension in the string, T = 1300 N

The angle of inclination, θ = 35°

Frictional force, f = 100 N

Initial speed, u = 0 m/s

Final speed, v = 10 m/s

First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:

T_parallel = T * cos(θ)

Next, let's calculate the net force acting on the box along the incline. The net force is given by:

Net force = T_parallel - f

Now, using Newton's second law, we can calculate the acceleration (a) of the box:

Net force = m * a

From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):

v^2 = u^2 + 2as

Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Now, let's plug in the given values and calculate the distance covered:

T_parallel = 1300 N * cos(35°) ≈ 1067.35 N

Net force = 1067.35 N - 100 N = 967.35 N

a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2

s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m

Therefore, the distance covered by the box is approximately 10.89 meters.

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Three long parallel wires, each carrying 20 A in the same direction, are placed in the same plane with the spacing of 10 cm. What is the magnitude of net force per metre on central wire?

Answers

Answer:

F/L =  8*10^-4 N/m

Explanation:

To calculate the magnitude of the force per meter in the central wire, you take into account the contribution to the force of the others two wires:

\(F_N=F_{1,2}+F_{2,3}\)   (1)

F1,2 : force between first and second wire

F2,3 : force between second and third wire

The force per meter between two wires of the same length is given by:

\(\frac{F}{L}=\frac{\mu_oI_1I_2}{2\pi r}\)

μo: magnetic permeability of vacuum =  4pi*10^-7 T/A

r: distance between wires

Then, you have in the equation (1):

\(\frac{F_N}{L}=\frac{\mu_oI_1I_2}{2\pi r}+\frac{\mu_oI_2I_3}{2\pi r}\\\\\frac{F_N}{L}=\frac{\mu_oI_1}{2\pi r}[I_2+I_3]\)

But

I1 = I2 = I3 = 10A

r = 10cm = 0.1m

You replace the values of the currents and the distance r and you obtain:

\(\frac{F_N}{L}=\frac{\mu_oI^2}{\pi r}\\\\\frac{F_N}{L}=\frac{(4\pi*10^{-7}T/A)(20A)^2}{2\pi (0.1m)}=8*10^{-4}\frac{N}{m}\)

hence, the net force per meter is 8*10^-4 N/m

What are the x and y components of the plane's velocity?

What are the x and y components of the plane's velocity?

Answers

The x and y components of the plane's velocity is:

Vx = 38.6 m/sVy = 10.4 m/s

1. How do I determine the horizontal component (Vx) of the velocity?

We can obtain the horizontal component (Vx) of the velocity as illustrated below:

Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Horizontal component of velocity (Vx) =?

Vx = u × Cosθ

Vx = 40 × Cos 15

Vx = 38.6 m/s

Thus, the horizontal component (Vx) of velocity is 38.6 m/s

2. How do I determine the vertical component (Vy) of the velocity?

The vertical component (Vy) of the velocity can be obtained as

Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Vertical component of velocity (Vy) =?

Vy = u × Sine θ

Vy = 40 × Sine 15

Vy = 10.4 m/s

Thus, the vertical component (Vy) of velocity is 10.4 m/s

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How has Physics improved
or affected our society?

Answers

By supplying the fundamental knowledge required to create new instruments and techniques for medical use, physics enhances our quality of life

From can openers, light bulbs, and mobile phones to muscles, lungs, and brains; from paintings, piccolos, and pirouettes to cameras, vehicles, and cathedrals; from earthquakes, tsunamis, and storms to quarks, DNA, and black holes, physics aids us in understanding the workings of the world around us.

The science of physics is the most fundamental and has many applications in contemporary technology. Because it makes it possible for smartphones, computers, televisions, watches, and many other modern technologies to function automatically, physics is crucial to modern technology.

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When iron pipes come in contact with water and oxygen, iron transfers electrons to the oxygen molecules. Which

statement about the reactants is correct? (1 point)

O Oxygen is the reducing agent.

o Iron is reduced, and oxygen is oxidized.

o Iron is the oxidizing agent.

O Oxygen is reduced, and iron is oxidized.

Answers

Considering the definition of redox reactions, the correct answer is the last option: Oxygen is reduced, and iron is oxidized.

Oxidation and reduction

Oxidation is a reaction where an atom, ion or molecule loses electrons while reduction corresponds to the gain of electrons from an atom, ion or molecule.

Redox reactions

The oxidation and reduction reactions always occur simultaneously for what are generally known as oxidation-reduction reactions or redox reactions.

That is, a redox reaction is a chemical reaction that occurs between an oxidizing substance and a reducing substance. During the reaction, the oxidizing substance loses electrons and the reducing substance gains electrons.

Oxidizing and reducing agent

That is, the oxidizing agent is the one that traps the electrons while the reducing agent is the one that provides the electrons.

This case

In this case, when iron pipes come in contact with water and oxygen, iron transfers electrons to the oxygen molecules. So, iron loses electrons while oxygen gains electrons. So oxygen is reduced, and iron is oxidized.

Then, the correct answer is the last option: Oxygen is reduced, and iron is oxidized.

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Answer:

The correct answer is: Oxygen is reduced, and iron is oxidized.

Question 81 point)
Ms. Vetter has not worked out in a long time. She is trying to lift her pet bunny cage off the ground to put into her car for their trip to Bunnyville
to visit some of her pet bunnies ancestors. If Ms. Vetter does not have enough _____ _____ she can use a simple machine to help her lift the cage off the ground and into her car.

A.craft supplies
B.big muscles
C.mechanical force
D.mechanical advantage

Answers

Answer:

 (C) Mechanical Force

Explanation:

Engineers are working on a design for a cylindrical space habitation with a diameter of 7.50 km and length of 29.0 km. The habitation will simulate gravity by rotating along its axis. With what speed (in rad/s) should the habitation rotate so that the acceleration on its inner curved walls equals 8 times Earth's gravity

Answers

Answer:

The speed will be "0.144 rad/s".

Explanation:

Given that,

Diameter,

d = 7.50 km

Radius,

R = \(\frac{7.5}{2} \ Km\)

Acceleration on inner curve,

= 8 times

Now,

As we know,

⇒ \(\omega^2R=8g\)

or,

⇒ \(\omega=\sqrt{\frac{8g}{R} }\)

On substituting the values, we get

⇒     \(=\sqrt{\frac{8\times 9.8}{\frac{7.5}{2}\times 10^3 } }\)

⇒     \(=\sqrt{\frac{78.4}{3750} }\)

⇒     \(=\sqrt{0.0209}\)

⇒     \(=0.144 \ rad/s\)

Atom A donates an electron to atom B. Both atoms are now...

Question 7 options:

Useful


Metallic


Safe


Charged

Answers

Answer:

Charged

Explanation:

When an atoms loses or gains electrons they become charged(ion)

When an atom loses electrons it becomes positively charged and it is called a Cation

When an atom gains electrons it becomes negatively charged and it is called an Anion

Charged when an atoms loses or gains electrons they become charged

2. A person with a mass of 50 kg is driving her car at a velocity of 15m / s . The car is involved in a small collision, and the airbag is deployed. The airbag provides a stopping force of 1200 N. The person's final velocity is 0m / s . How long does it take for the person to be stopped by the airbag ?

Answers

Answer:

It takes approximately 0.625 seconds for the person to be stopped by the airbag.

Explanation:

We can use the formula for average acceleration to solve this problem:

a = (v_f - v_i) / t

where:

a = average acceleration

v_f = final velocity (0 m/s)

v_i = initial velocity (15 m/s)

t = time

We know that the airbag provides a stopping force of 1200 N, which is equal to the net force on the person-car system. We can use Newton's second law of motion to find the acceleration of the person:

F_net = ma

where:

F_net = net force (1200 N)

m = mass of person (50 kg)

a = acceleration

Solving for a, we get:

a = F_net / m

a = 1200 N / 50 kg

a = 24 m/s^2

Now we can substitute the values of a, v_f, and v_i into the formula for average acceleration and solve for t:

a = (v_f - v_i) / t

24 m/s^2 = (0 m/s - 15 m/s) / t

t = -15 m/s / 24 m/s^2

t = 0.625 s

Therefore, it takes approximately 0.625 seconds for the person to be stopped by the airbag.

What is the potential gravitational energy of a 2 kg ball thrown up in the air to a height of 7 m?

Answers

Answer:

PE = 137.2931 J

Explanation:

PE = 137.2931 J

what is ice wedging?(pls answer now)

Answers

Answer:

When the cold weather fills hard surfaces with water, it causes it to freeze and expand, causing cracks in the surface.

When the cold weathers feels hard surfaces with water

PLEASE HELP!

I don't even know what Science is I'm so dumb lol XD

PLEASE HELP! I don't even know what Science is I'm so dumb lol XD

Answers

Answer:

C

Explanation:

Sled A has more potential energy because it's mass is 100 kg, and it is higher up than Sled B. The more high up the sled is and the lighter it is, the faster it gets, it creates more and more potential energy.

Hope this helps!

Remember the steps that the American Heart Association recommends for saying no to cigarettes. Which one of these will you use if you are faced with peer pressure to smoke? Which one of these will you use if you are faced with peer pressure to drink or take drugs? Explain the method you will use and why you chose it.

Answers

Answer: just say no and never talk to that person again.

Explanation:

because that is what i would do to prevent drugs and/or nicotine to enter my body.

A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in meters?
m
Explain your reasoning.
Since the density of water is
cm3 is
g/cm3, then the volume of 2800 g of water is
cm on each side. Converting [ cm to meters, the cube is
Proy
13 of 15
⠀⠀⠀
Next
cm³. A cubic box with a volume of [
m on each side.

A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in

Answers

The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.

Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.

Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.

So the filled cubic box has a side length of approximately 0.141 m.

A 215 N sign is supported by two ropes. One rope pulls up and to the right 1=29.5∘ above the horizontal with a tension 1 , and the other rope pulls up and to the left 2=44.5∘ above the horizontal with a tension 2 , as shown in the figure. Find the tensions 1 and 2 .

Answers

The sign is held in equilibrium. Using Newton's second law, we set up the equations of the net forces acting on the sign in the horizontal and vertical directions:

F (horizontal) = T₁ cos(29.5°) - T₂ cos(44.5°) = 0

(right is positive, left is negative)

F (vertical) = T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N = 0

(up is positive, down is negative)

Solve the system of equations. I use elimination here:

• Multiply the first equation by sin(29.5°) and the second by cos(29.5°):

sin(29.5°) (T₁ cos(29.5°) - T₂ cos(44.5°)) = 0

cos(29.5°) (T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N) = 0

T₁ cos(29.5°) sin(29.5°) - T₂ cos(44.5°) sin(29.5°) = 0

T₁ cos(29.5°) sin(29.5°) + T₂ cos(29.5°) sin(44.5°) = (215 N) cos(29.5°)

• Subtract the first equation from the second to eliminate T₁ :

T₂ cos(29.5°) sin(44.5°) - (- T₂ cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)

• Solve for T₂ :

T₂ (cos(29.5°) sin(44.5°) + cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)

T₂ sin(74.0°) = (215 N) cos(29.5°)

… … … (using the fact that sin(x + y) = sin(x) cos(y) + cos(y) sin(x))

T₂ = (215 N) cos(29.5°) / sin(74.0°)

T₂ ≈ 195 N

• Solve for T₁ :

T₁ cos(29.5°) - T₂ cos(44.5°) = 0

T₁ cos(29.5°) = T₂ cos(44.5°)

T₁ = T₂ cos(44.5°) / cos(29.5°)

T₁ ≈ 160. N

Calculate the young modulus in a cantilever depression method. The length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.(g=9.8)

Answers

The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².

What is young's modulus?

Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length

Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.

The young's modulus will be calculated by the formula below,

Y = (4gl³) / (bd³) x ( M / y )

Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )

Y = 3.92 x 10¹⁰ N/m².

Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².

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as with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. the elasticity of supply of labor is elastic if elasticity is greater than 1. it is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. for each of the following occupations, calculate the elasticity of supply and state whether the supply of labor is elastic, inelastic, or unitary elastic. es and w are the original supply of workers and wage. and are the new supply of workers and wage.

Answers

The elasticity of supply of labor varies among occupations. The supply of labor is elastic for occupations (a) and (b) and inelastic for occupations (c).

The elasticity of the supply of labor is an important concept that measures the responsiveness of the quantity of labor supplied to changes in the wage rate. An occupation's supply of labor is said to be elastic if its elasticity is greater than 1, inelastic if the elasticity is less than 1, and unitary elastic if the elasticity of supply equals 1. Let's calculate the elasticity of supply for the following occupations and determine whether the supply of labor is elastic, inelastic, or unitary elastic.

a. %ΔES = 7, %ΔW = 3

The formula for the elasticity of supply is (% change in quantity supplied / % change in wage). Therefore, the elasticity of supply for this occupation would be:

Elasticity of supply = (7% / 3%) = 2.33

Since the elasticity of supply is greater than 1, the supply of labor is elastic.

b. ES = 120, W = $8

E’S = 90, W’ = $6

The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:

Elasticity of supply = ((90 - 120) / ((90 + 120) / 2)) / ((6 - 8) / ((6 + 8) / 2))

The elasticity of supply = (-30 / 105) / (-2 / 7)

Elasticity of supply = 2.00

Since the elasticity of supply is greater than 1, the supply of labor is elastic.

c. ES = 100, W = $5

E’S = 120, W’= $7

The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:

Elasticity of supply = ((120 - 100) / ((120 + 100) / 2)) / ((7 - 5) / ((7 + 5) / 2))

The elasticity of supply = (20 / 110) / (2 / 6)

Elasticity of supply = 0.81

Since the elasticity of supply is less than 1, the supply of labor is inelastic. The elasticity of supply is a critical concept in labor economics and helps us understand how changes in wage rates affect the quantity of labor supplied in different occupations.

Complete question:

As with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. The elasticity of the supply of labor is elastic if the elasticity is greater than 1. It is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. For each of the following occupations, calculate the elasticity of supply, and state whether the supply of labor is elastic, inelastic, or unitary elastic. E’s and W’ are the original supply of workers and wages. and are the new supply of workers and wages.

a %ΔES = 7, %ΔW = 3

b. ES = 120, W = $8

E’S = 90, W’ = $6

c. ES = 100, W = $5

E’S = 120, W’= $7

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