Determine the acceleration that an unbalanced force of 28 N gives to a 6.8 kg mass.

Answer:

It moves in the direction of FB at a constant rate of speed.

Explanation:

In order to answer this question, the Newton's Second Law of motion shall be used. The Newton's Second Law of Motion states that when an unbalanced force is applied to an object, it produces an acceleration in that object. This acceleration is in the direction of the unbalanced force. So, when the person A and person B are applying forces FA and FB, the force FB is greater than FA. Hence, the unbalanced force will be in the direction of FB, the greater force. So, the flag will move in the direction of FB at a acceleration (rate of speed). So, the correct option is:

It moves in the direction of FB at a constant rate of speed.

Answer:

ΔP = 3.98 10³ Pa

Explanation:

We use that the pressure is given

          P = ρ g y

where ρ is the density of mercury (ρ = 13534 kg / m³) and y the height of the column

In this case, to measure the pressure, a line is drawn at the lowest point of the mercury column, on the right side of the U-shaped tube, for this point the pressure on both sides of the tube is the same

           ΔP = P_l{eft} - P_{right}

           ΔP = (P_a + P) - P_a

done P is the gauge pressure on the left side and P_a is the atmospheric pressure

          ΔP = ρ g h

let's calculate

          ΔP = 13534   9.8  0.03

          ΔP = 3.98 10³ Pa

remember that [Pa] = [N / m²]

Answer:

11,000 kg

(a) 11.2 m/s

(b) 1.6 m/s

Explanation:

Momentum is conserved.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(2200 kg) (60.0 km/h) + m (0 km/h) = (2200 kg) (10 km/h) + m (10 km/h)

132,000 kg km/h = 22,000 kg km/h + m (10 km/h)

110,000 kg km/h = m (10 km/h)

m = 11,000 kg

Momentum is conserved.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(m) (-v) + (2m) (5v) = (m) (v₁) + (2m) (v₂)

-mv + 10mv = m v₁ + 2m v₂

9mv = m (v₁ + 2 v₂)

9v = v₁ + 2 v₂

Since the collision is elastic, kinetic energy is also conserved.

½ m₁u₁² + ½ m₂u₂² = ½ m₁v₁² + ½ m₂v₂²

m₁u₁² + m₂u₂² = m₁v₁² + m₂v₂²

(m) (-v)² + (2m) (5v)² = m v₁² + (2m) v₂²

mv² + 50mv² = m v₁² + 2m v₂²

51mv² = m (v₁² + 2 v₂²)

51v² = v₁² + 2 v₂²

We know v = 1.60 m/s.  So the two equations are:

14.4 = v₁ + 2 v₂

130.56 = v₁² + 2 v₂²

Solve the system of equations using substitution.

130.56 = (14.4 − 2 v₂)² + 2 v₂²

130.56 = 207.36 − 57.6 v₂ + 4 v₂² + 2 v₂²

0 = 6 v₂² − 57.6 v₂ + 76.8

0 = v₂² − 9.6 v₂ + 12.8

v₂ = [ 9.6 ± √(9.6² − 4(1)(12.8)) ] / 2(1)

v₂ = 1.6 or 8

If v₂ = 1.6 m/s, then v₁ = 14.4 − 2 v₂ = 11.2 m/s.

If v₂ = 8 m/s, then v₁ = 14.4 − 2 v₂ = -1.6 m/s.

We know v₁ can't be -1.6 m/s, since that would mean puck A didn't change speeds after the collision.  Therefore, v₁ = 11.2 m/s and v₂ = 1.6 m/s.

Answer:

the frequency of the fundamental mode of vibration is 199.6 Hz

Explanation:

Given;

tension of the piano wire, T = 765 N

length of the steel wire, L = 0.8 m

mass of the steel wire, m = 6.00 g = 6 x 10⁻³ kg

The frequency of the fundamental mode of vibration is calculated as;

\(f_o = \frac{1}{2l} \sqrt{\frac{T}{\mu} }\)

where;

μ is the mass per unit length  \(= \frac{6.0 \times 10^{-3}}{0.8} = 7.5 \times 10^{-3} \ kg/m\)

\(f_o = \frac{1}{2l} \sqrt{\frac{T}{\mu} } \\\\f_o = \frac{1}{2\times 0.8} \sqrt{\frac{765}{7.5 \times 10^{-3}} } \\\\f_o = 199.6 \ Hz\)

Therefore, the frequency of the fundamental mode of vibration is 199.6 Hz

When two wave superposed in same phase,  constructive interference is formed.

According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.

The resulting sound wave is created by adding the amplitudes of two sound waves that are travelling in the same direction and in phase with one another. In this instance, it is claimed that the sound waves experienced constructive interference. The waves experience upward displacement when they encounter constructive interference.

Learn more about interference here:

https://brainly.com/question/7256700

#SPJ1

Answer: The rock

Explanation:

The ratio of M/m is approximately 0.155, which is closest to option (b) 1/4.

Let's consider the motion of the system before and after the collisions. We'll use the conservation of momentum and the conservation of energy to solve the problem.

Before the collisions, the leftmost block of mass m has velocity v towards the right and the other two blocks are at rest. The total initial momentum of the system is therefore mv.

At the first collision, the leftmost block collides with the middle block of mass m. The two blocks stick together and move as a single unit. By conservation of momentum, the velocity of the combined block after the collision is mv/(2m) = v/2 towards the right.

At the second collision, the combined block collides with the block of mass M. Again, the two blocks stick together and move as a single unit. By conservation of momentum, the velocity of the combined block after the collision is (mv/2 + 0)/ (m+M) = v/2(m+M) towards the right.

After the collisions, the three blocks move as a single unit with velocity v/2(m+M) towards the right. The total final momentum of the system is therefore (m+2m+M)(v/2(m+M)) = mv/2.

The loss in kinetic energy after all the collisions is given as 5/6th of the initial kinetic energy. Therefore, the final kinetic energy is 1/6th of the initial kinetic energy. Let's use this to solve for M/m.

The initial kinetic energy of the system is (1/2)m(v^2) = (1/2)mv^2.

The final kinetic energy of the system is;

(1/2)(m+2m+M)((v/2(m+M))^2) = (1/2)(mv^2)/(4(m+M)^2).

Therefore, we have:

(1/2)mv^2 - (1/2)(mv^2)/(4(m+M)^2) = (1/6)(1/2)mv^2

Multiplying both sides by 12 and simplifying, we get:

3(m+M)^2 = 8m

Expanding the left side and simplifying, we get:

3M^2 + 6mM - 4m^2 = 0

Solving for M/m using the quadratic formula, we get:

M/m = (-6 ± √(36 + 48))/6 = (-6 ± 2√(3))/6 = (-1 ± √(3))/3

Since M/m is a ratio of masses, it must be positive, so we take the positive root:

M/m = (-1 + (3))/3 ≈ 0.155 ≈ 1/4

Learn more about inelastic collision here: https://brainly.com/question/29220028

#SPJ1

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

For more such information on; volume

https://brainly.com/question/14197390

#SPJ8

Answer:

Transparent or Translucent

Explanation:

Answer:

12.483 Kpa

46.806 Kpa

Explanation:

Man's height = 1.8m

Pheart = 13.3 * 10^3

Density of blood (ρ) = 1060 kg/m³

Height difference between heart and brain (Hh - Hb) = 0.35m

g = acceleration due to gravity = 9.8 m/s²

Acceleration (a) = 12 m/s²

Blood pressure in brain :

Pbrain = Pheart - ρ(a - g) * (Hh - Hb)

Pbrain = 13.3 * 10^3 - 1060(12 - 9.8) * 0.35

Pbrain = 13300 - (2332 * 0.35)

Pbrain = 13300 - 816.2

Pbrain = 12483.8 pascal = 12.483 Kpa

Blood pressure in feet :

Pbrain = Pheart + ρ(a + g) * 1.8 - (Hh - Hb)

Pbrain = 13.3 * 10^3 + 1060(12 + 9.8)*(1.8 - 0.35)

Pbrain = 13300 + 1060(21.8 * 1.45)

Pbrain = 13300 + 33506.6

Pbrain = 46806.6 pascal = 46.806 Kpa

According to the Keynesian view, manipulating foreign sector spending is not a reliable way to move the U.S. economy toward a more acceptable equilibrium because it does not address the fundamental causes of economic instability.

Keynesian economics focuses on the role of domestic demand in driving economic growth and stability. The government can use fiscal and monetary policy to stimulate aggregate demand and promote full employment. However, changes in foreign sector spending can be unpredictable and beyond the control of domestic policymakers. For instance, an increase in foreign demand for U.S. exports could boost economic growth and employment in the short run, but it may not be sustainable if the foreign demand later decreases. Similarly, a decrease in foreign demand for U.S. exports could have negative short-term effects on the economy, but it may not necessarily lead to a long-term decline. In short, Keynesian economics emphasizes the importance of domestic demand management and stabilizing the economy through government intervention. While changes in foreign sector spending can have some impact on the economy, they are generally seen as unreliable and unpredictable, and therefore not a reliable tool for achieving economic stability in the long run.

For such more questions on reliable

https://brainly.com/question/27968241

#SPJ11

The mass of air that will leave the room is 2.1 kg.

The number of moles of air in the room is calculated by applying Ideal gas law as shown below.

PV = nRT

where;

When the temperature =  25⁰C = 298 K

n = PV / RT

n = (121.8 x 33,000) / (8.314 x 298)

n = 1,622.3 moles

when  the temperature =  16.4⁰C = 289.4 K

n = PV / RT

n = (121.8 x 33,000) / (8.314 x 289.4)

n = 1,670.5 moles

difference in number of moles = 1,670.5 moles - 1,622.3 moles = 48.22 moles

mass of the air that will leave the room = 43.5 g/mol x 48.22 moles = 2,097.73 g = 2.1 kg

Learn more about mass of air here: https://brainly.com/question/19626802

#SPJ1

Once the average value of T and its standard deviation are determined, the spring constant k can be calculated using the equation k = 4π^2m/T^2, where m is the mass of the block.

To find the average value of T, the ten measurements of T are added together and divided by ten. The standard deviation of T is calculated using the formula that involves finding the square root of the variance.

This experiment aims to demonstrate the relationship between the period of oscillation and the spring constant of the spring. By measuring the period of oscillation of the spring with a known mass hanging from it, the spring constant can be determined, which is a fundamental property of the spring.

To know more about oscillation, here

brainly.com/question/30111348

#SPJ4

A routine breaks down a complicated goal into daily action to make it more manageable.

A routine can be described as the sequence of actions regularly followed which do help individuals as well as the organization so they can acheive their goals.

It should be noted that a routine is neccessary in an organization because it will help help them to breakdown the task as well as the activities and this will help to achive the goals as well as the neccessary things on time because allcomplicated goals woud have been included as well as how it will be carried out.

Learn more about routine at:

https://brainly.com/question/3116181

#SPJ1

Answer:

1.187 x 10^8 m/s

Explanation:

the potential of the electric field V = 40 kV = 40000 V

the charge on an electron e = 1.6 x 10^-19 C

The energy of an accelerated electron in an electric field is given as

E = eV

E = 1.6 x 10^-19 x 40000 = 6.4 x 10^-15 J

This energy is equal to the kinetic energy with which the electron moves,  according to the conservation of energy.

The kinetic energy = \(\frac{1}{2}mv^{2}\)

where

m is the mass of the electron = 9.109 x 10^-31

v is the speed of the electron.

Equating the energy, we have

6.4 x 10^-15 = \(\frac{1}{2}*9.109*10^-31*v^{2}\)

6.4 x 10^-15 = 4.55 x 10^-31 \(v^{2}\)

\(v^{2}\) = 1.41 x 10^16

\(x^{2} v = \sqrt{1.41*10^{16}}\) = 1.187 x 10^8 m/s

Answer:

a) P = 70054.3 W,  b)  P = 18820 W,  c)   P = 14116.7 W

Explanation:

Power is defined as work per unit of time

         P = W / t = F x / t

         P = F v

a) in this case the velocity is constant, let's use the equilibrium relation to find the force.

Let's set a reference system with the x axis parallel to the plane

        F - Wₓ = 0

         F = Wₓ

with trigonometry let's decompose the weight

        sin θ = Wₓ / W

        Wₓ = W sin θ

          F = W sin 15

          F = 2800 sin 15

          F = 724.7 lb

we look for the speed, as it rises with constant speed we can use the relations of uniform motion

          v = x / t

          v = 1160/12

          v = 96.67 ft / s

we calculate the power

          P = 724.7 96.67

          P = 70054.3 W

b) In this case, the speed of the vehicle changes during the ascent, so we use the relationship between work and the change in kinetic energy

           W = ΔK

           W = ½ m v_f² - ½ m v₀²

   let's reduce to the SI system

           v₀ = 10 mph (5280 ft / 1 mile) (1h / 3600 s = 14.67 ft / s

           v_f = 50 mph (5280 ft / 1 mile) (1 h / 3600s) = 73.33 ft.s

 mass :         m = w / g

           W = ½ 2800/32 (73.33² - 14.67²)

           W = 225841 J

we calculate the average power

           P = W / t

           P = 225841/12

           P = 18820 W

c) we repeat the previous procedure

          v₀ = 45 mph = 66 ft / s

          v_f = 15 mph = 22 ft / s

          W = ½ 2800/32 (22² - 66²)

          W = -169400 J

          P = W / t

          P = 169400/12

          P = 14116.7 W

Answer:

If we are upset, often our mind cannot think straight. we need to take deep breaths, and focus on reality. When we are upset we do things out of anger.

Explanation:

Hope this helps!

Answer:

Explanation:

In the x direction the force will be

½(-w₀)L/2 = -¼w₀L  

acting ⅔(L/2) = L/3 below the x axis.

In the y direction the force will be

½(-w₀)L + ½w₀L/2 = -¼w₀L  

the magnitude of the resultant will be

F = w₀L  √((-¼)² + (-¼)²) = w₀L√⅛

in the direction

θ = arctan(-¼w₀L / -¼w₀L) = 225°

to find the distance, we balance moments

(w₀L√⅛)[d] = ½(w₀)L[⅔L] + ¼w₀L[⅔L/2] - ¼w₀L[L - ⅓L/2]

     (√⅛)[d] = ½         [⅔L] + ¼      [⅔L/2] - ¼      [L - ⅓L/2]

     (√⅛)[d] = ½[⅔L] + ¼[⅔L/2] - ¼[L - ⅓L/2]

     (√⅛)[d] =      ⅓L  +    ⅟₁₂L     -  ¼L + ⅟₂₄L  

     (√⅛)[d] = 5L/24

               d = 5L/24 / (√⅛)

               d = 5√⅛L/3

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

To learn more about diameter

https://brainly.com/question/32968193

#SPJ8

1) The photoelectric effect is the phenomena by which, the metals release electrons when they are exposed to electromagnetic radiation with the suitable frequency. The photoelectrons are the electrons that are released in this process.

So, the statement is true.

2) In a particle model, energy transfer can be done through many ways such as:

The energy jumps between the particles in the form of photons.

Electrons can absorb or emit energy during energy transfer.

The energy is transferred between different objects in the form of photons.

So, all of them are true.

To learn more about photons, click:

https://brainly.com/question/20912241

#SPJ1

Laasya is performing resistance training by lifting a table and moving it to another room to expand the space in her room. The correct option to this question is D.

For more information on resistance training kindly visit to

https://brainly.com/question/28936785

#SPJ1

Complete question : Laasya is lifting a table and moving it to another room to expand the space in her room. What mode of strength-training is Laasya performing?

a. Endurance

b. Isometric

c. Isotonic

d. Resistance

Answer:

30 miles/hour

Explanation:

Bus traveled 90 miles and took 3 hours if you take the average per hour it should be around, 30 miles every hour

The power output is given 2000 watt and voltage is 240 v. Then the current through the heating element is 8.3 A and the resistance is 29 ohms.

The power used by an object is the rate of its work done or energy. It is the energy divided by time. The power output in a circuit is the product of the potential difference V and current I.

P = I V

Given,

P = 2 kw = 2000 W

v = 240 V.

Then I = P/v

I = 2000 w/240 v = 8.3 A.

According to Ohm's law, voltage v is the product of the current and resistance through the material.

hence,

V = I R

then, R = V/I

R = 240 V/8.33 A

  = 29 Ω.

Therefore, the current and resistance through the heating element are 8.3 A and 29 ohms respectively.

Find more on power;

https://brainly.com/question/24110214

#SPJ9

Answer:

Ideas for Prototype Design  

Similar to a cardboard oven just smaller and solar powered

Preliminary Sketches (attach separate paper, if needed)  

Option A:  i gave the picture

____________________________________________________________

Advantages: Disadvantages:  

● the tin foil will attract the sun● if theres enough heat for the food to warm up

●the plastic will keep bugs and/or animal away from getting it ● it might take longer  

●the box gives the food something to be in instead of the ground  

Option B: i think im going to stay with my original plan i can always make changes

__________________________________________________________

More advantages and disadvantges

Advantages: Disadvantages:  

●reducing my carbon footprint by alot ● heat varies so the food my take really really long

●using no energy other than the sun  

__________________________________________________________

Which of the three designs will you move forward with? Explain your reasons for selecting this design.

I will be moving forward with option A bc i personally can't think of another way or design and i think option A has more advantages than disadvantages  

__________________________________________________________

Building the Prototype  

What modifications, if any, did you make to the basic design during the construction process?

I used skewers to hold the flap up

__________________________________________________________

Predictions  

Will your device warm the hot dog to a temperature of 165°F? How will your device do this?

Well i guess it depends n alot of things such as where i will place my solar cooker and the weather changes i will most likely put my solar cooker on the black paper because darker colors absorb more heat then lighter ones, then i will wait maybe 10 -20 minutes and check on my hotdog

__________________________________________________________

Will your device efficiently warm the hot dog in 20 to 25 minutes? How will your device do this?  so my device will do this by attracting the suns rays and energy towards the box

__________________________________________________________

Will your device reach a temperature well above that of its surroundings? How will your device do this?

I think so especially if i put it in direct sunlight around a darker surface and of course the aluminium foil will help with this as well

__________________________________________________________

Observations  

Record your observations and the results of the experimental tests of your device below. Temperature of the surroundings (in °F): ______68_______  

Maximum temperature reached inside the solar cooker (in °F): _____59_____

__________________________________________________________

i added a picture but i will also put the numbers here althought keep in mind u might want to switch them up because its based off of my temperatures

Use this table to record the internal temperature of the hot dog every 2 minutes. Use a separate sheet of  paper, if necessary.

time:                           Temperature (°F)

4:00                            20

4:02                            20

4:04                            25

4:06                            26

4:08                            30

4:10                            34

4:12                            38

4:14                            40

4:16                            44

4:18                            46

4:20                           50

4:22                           55

4:24                           57

4:26                           60

4:28                           65

4:33                           72

4:35                           75

4:37                           76

4:39                           80

__________________________________________________________

Evaluating Your Prototype  

What worked well?

i would say definitely the black paper and tin foil sin they attracted most of the suns energy

__________________________________________________________

Which features can be improved upon?

i think maybe if i did t on a different day it would have gotten hotter

__________________________________________________________

How could the overall design of this device be improved?  

Position the flap more so that the hotdogs can get more sun

Doing it on a hotter day

Letting it cook longer

__________________________________________________________

Why would this change be an improvement? What concepts related to thermal energy transfer is this  improvement based on?  

this change would be an improvement by the hotdogs getting warmed to the right temperature this is related to thermal energy by the position of the flap i think if i angled it more in an abtuse angle the sun would have transferred to the foil to the bottom foil with the hotdogs

__________________________________________________________

Sketch of Your Final Design  

Draw a well-labeled sketch of the final design.

i provided a sketch it should be the last picture

OKAY FINALLY PLZ DONT REORT THIS I WORKED SO HARD ON IT LAST TIME AND IT GOT DELETED IF U HAVE ANY QUESTIONS ABOUT THE PROJECT I WILL TRY TO HELP YOU IN THE COMMENTS THANK YOUUUU - ( if your wndering what grade i got on this got a 100 percent )

OH AND PEACE.

Answer:

I am simply adding another answer so the one above can get a brainliest

Explanation:

I do not care about the points that I will wind up getting for this and they are right here just answer with gibberish

https://brainly.com/question/26856060

edit: in an attempt to return your points my question was taken down ill will return these

somehow

someway

sometime

Answer:

Increases with increase in mass

Explanation:

gravity is proportional to mass and inversely proportional to the square of the distance between them

F = GMm/d²