A 0.05 kg meter stick is balanced at its midpoint (50.0 cm). Then 0.1 kg and 0.2 kg objects are hung with a light string from the 10 cm point and the 70 cm point.

A 0.05 Kg Meter Stick Is Balanced At Its Midpoint (50.0 Cm). Then 0.1 Kg And 0.2 Kg Objects Are Hung

Answers

Answer 1

Torque due to F1 (anticlockwise torque): τ1 = F1 * Lever arm for F1 = 0.981 N * 0.4 m ≈ 0.3924 Nm

Torque due to F2 (clockwise torque): τ2 = F2 * Lever arm for F2 = 1.962 N * 0.2 m ≈ 0.3924 Nm

Torque due to F3 (no torque): τ3 = F3 * Lever arm for F3 = 0.4905 N * 0 m = 0 Nm

How to solve

To find the torques exerted on the system, we first need to identify the forces acting on the meter stick and their lever arms.

Three forces are acting on the system:

The gravitational force acting on the 0.1 kg object (F1) hung at the 10 cm point.The gravitational force acting on the 0.2 kg object (F2) hung at the 70 cm point.The gravitational force acting on the 0.05 kg meter stick (F3) acting at its midpoint (50 cm).

First, let's find the gravitational forces:

F1 = m1 * g = 0.1 kg * 9.81 m/s^2 ≈ 0.981 NF2 = m2 * g = 0.2 kg * 9.81 m/s^2 ≈ 1.962 NF3 = m3 * g = 0.05 kg * 9.81 m/s^2 ≈ 0.4905 N

Next, we need to find the lever arms for each force with respect to the midpoint (50 cm) of the meter stick:

Lever arm for F1: 50 cm - 10 cm = 40 cm = 0.4 mLever arm for F2: 70 cm - 50 cm = 20 cm = 0.2 mLever arm for F3: 50 cm - 50 cm = 0 cm = 0 m (acts at the pivot point)

Now, we can calculate the torques:

Torque due to F1 (anticlockwise torque): τ1 = F1 * Lever arm for F1 = 0.981 N * 0.4 m ≈ 0.3924 Nm

Torque due to F2 (clockwise torque): τ2 = F2 * Lever arm for F2 = 1.962 N * 0.2 m ≈ 0.3924 Nm

Torque due to F3 (no torque): τ3 = F3 * Lever arm for F3 = 0.4905 N * 0 m = 0 Nm

As the clockwise and anticlockwise torques are equal, the net torque is zero:

Net torque: τ_net = τ1 - τ2 + τ3 = 0.3924 Nm - 0.3924 Nm + 0 Nm = 0 Nm

Since the net torque is zero, the angular acceleration is also zero:

Angular acceleration (α) = τ_net / I, where I is the moment of inertia.

Since τ_net is zero, α = 0 Nm / I = 0 rad/s^2.

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Related Questions

If you quadruple the voltage across a resistor while at the same time cutting its resistance to one-fifth its original value, what happens to the current in the resistor?

Answers

When the voltage across the resistor is quadrupled and its resistance is decreased to one-fifth of its initial value, the current in the resistor rises by a factor of eight (20/2=8).

Ohm's Law states that a resistor's resistance is inversely proportional to its current flow, which is directly proportional to the voltage applied across it. The mathematical formula for Ohm's Law is I = V/R, where I stands for current, V for voltage, and R for resistance.

In this case, the voltage across the resistor is multiplied by four, or quadrupled. The resistance is simultaneously decreased to one-fifth of its initial value, suggesting that it is divided by five.

Find the new current in the resistor using these modifications to Ohm's Law. The new current (I') can be computed as follows because the voltage has increased fourfold (4V) and the resistance has fallen to one-fifth (R/5).

I' = (4V)/(R/5) = 20V/R.

Simplifying the equation:

I' = (20/R)V.

The new current (I'), which is represented by V/R, can be written as I' = 20I.

Therefore, when the voltage across the resistor is quadrupled and its resistance is decreased to one-fifth of its initial value, the current in the resistor rises by a factor of eight (20/2=8).

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Which of the following is required for U.S. citizens to travel outside the United States?
A. Consul
B. Embassy
C. Passports
D. Visas

Answers

Answer:

C.

Explanation:

Use the vocabulary in the Word Bank to complete the following explanation.

Answers

Where’s the vocabulary?

The airplane refuels between City A and continues on to City B. It travels at an average speed of 733.9 km/h. If the trip takes 2.4 hours, what is the flight distance between City A and City B? Answer in km

Answers

Answer:

733.9× 2.4

1761.36

Explanation:

The airplane refuels between city A and continues on to city B. It travels at an average speed of 733.9km/h. If the trip takes 2.4 hours, what is the flight distance between city A and city B?

Which of Galileo's theories drew fire from the Catholic Church and led to his
house arrest?

Answers

Answer:

imma have to come back to you on that one

Answer:

The Sun is at the center of the solar system and the planets move around it.

Explanation:pluto/edmentum

What is a scientific theory?

Answers

Answer:

Scientific theories are explanations of some aspect of the natural world based on repeated observations.

Hope this helps!!!!

Answer:

The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.

Explanation:

Which legal measure allowed whites in southern states to keep blacks from voting after reconstruction ended?.

Answers

Jim Crow laws was the legal measure which allowed whites in southern states to keep blacks from voting after reconstruction ended.

What was JIm Crow law?

These were the state and local laws which enforced racial segregation in the Southern part of the United States.

Due to this laws, whites in southern states kept blacks from voting after reconstruction ended.

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blocks a and b are moving toward each other along the x axis. a has a mass of 2 kg and a velocity of 50 m/s, while b has a mass of 4 kg and a velocity of -25 m/s. they collide head-on in an elastic collision. after the collision the velocities of a and b, respectively, are:

Answers

There are infinitely many possible values for the velocities of A and B after the collision, as long as they satisfy the condition v₁= -2v₂

To solve this problem, we can apply the principle of conservation of momentum and kinetic energy in an elastic collision.

The total momentum before the collision is given by:

Initial momentum = mass of A * velocity of A + mass of B * velocity of B

Initial momentum = (2 kg)(50 m/s) + (4 kg)(-25 m/s)

Initial momentum = 100 kg·m/s - 100 kg·m/s

Initial momentum = 0 kg·m/s

Since the total momentum before the collision is zero, the total momentum after the collision must also be zero due to the conservation of momentum.

Let the velocities of A and B after the collision be v₁ and v₂, respectively. We can set up the equation:

Final momentum = mass of A * velocity of A + mass of B * velocity of B

Final momentum = (2 kg)(v₁) + (4 kg)(v₂)

Since the total momentum after the collision is zero, we have:

0 = (2 kg)(v₁) + (4 kg)(v₂)

Simplifying the equation gives us:

2v1 = -4v2

v1 = -2v2

Now we can solve for the velocities v₁ and v₂. Substituting the relationship v1 = -2v2 into the equation, we get:

0 = (2 kg)(-2v₂) + (4 kg)(v₂)

0 = -4v₂ + 4v2

0 = 0

Since the equation simplifies to 0 = 0, it means that any value of v₂ will satisfy the equation.

Therefore, there are infinitely many possible values for the velocities of A and B after the collision, as long as they satisfy the condition v1 = -2v₂

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Which piece of evidence suggests that the inner planets were formed from the same rotating cloud of gas and dust?

Answers

The piece of evidence that suggests that the inner planets were formed from the same rotating cloud of gas and dust is that the planets orbit the sun in the same direction and in the same plane

Smaller planets like Mercury, Venus, Earth, and Mars are considered inner planets. Mercury is thought to be the smallest inner planet, with Earth being the largest. The vastly larger outer planets, such as Jupiter, Saturn, Uranus, and Neptune, are the opposite.

A route that an object or planet in space follows around another body is referred to as an orbit. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

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which of the following is true about the magnitude of the velocity and acceleration of an object at point D on the trajectory?

which of the following is true about the magnitude of the velocity and acceleration of an object at point

Answers

Answer:

D) v= 6.4 m/s a=10m/s^2

Explanation:

At top vnet= ucos (theta)

= 10 cos (50)

=10× 0.64=6.4m/s

Acc will be g (10m/s^2)

•At top point vy=0 and vx=ucos (theta)

Horizontal vel always remain same.

which of the following is true about the magnitude of the velocity and acceleration of an object at point

An object starts at rest. Its acceleration over 30 seconds is shown in the graph below:

An object starts at rest. Its acceleration over 30 seconds is shown in the graph below:

Answers

Answer:6m/s

Explanation:as you can see before twenty seconds there was no change in speed,but between twenty to thirty seconds,the speed changed from 0m/s to 6m/s,so change in speed is 6m/s.

The speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

Given:

Time, ΔT = 30-20 = 10s

Acceleration, a = 7 m/s²

The speed can be computed from the acceleration and time. The standard unit of velocity is meters per second.

For the given case, the speed can be computed from the acceleration and time given in the graph.

The speed is given as:

a =  v/t

v = at

v = 7×10

v = 70 m/s

Hence, the speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

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calculate the magnitude of the electric field intensity in vacuum at a distance of 20 cm from a charge of 5 * 10 raise to power - 3 column​

Answers

Answer:

1.1259*10^9 Newton per Columb

Explanation:

the magnitude of the electric field intensity can be calculated using the expresion below;

E=Kq/r^2

Where k= constant

q= electric charge

r=distance= 2cm= 20*10^-2m( we convert to m for unit consistency

:,K=59*10^9 Columb

If we substitute the value into above formula we have

E=(9*10^9)*(5*10^-3)/(20*10^-2)^2

=1.1259*10^9 Newton per Columb

Therefore,the magnitude of the electric field intensity in vacuum at a distance of 20 cm is 1.1259*10^9 Newton per Columb


Two devices of rating 22 W; 220 V and 11 W; 220 V are connected in series. The combination is
connected across a 440 V mains. The fuse of which of the two devices is likely to burn when
switch is on ? Justify your name. ​

Answers

The 11 W device is likely to burn out when the switch is turned on, due to the higher voltage it will be subjected to compared to its rated voltage. It is important to ensure that the devices used in a circuit have the appropriate voltage rating to avoid damage or failure.

When two devices with different power ratings are connected in series, the voltage across each device is divided according to their power ratings. In this case, the two devices are rated 22 W and 11 W, respectively, and are connected in series across 440 V mains. The voltage across each device can be calculated using the formula V = P/I, where V is the voltage, P is the power rating, and I is the current.

For the 22 W device, the voltage across it is V = P/I = 22/0.1 = 220 V. For the 11 W device, the voltage across it is V = P/I = 11/0.1 = 110 V. Therefore, the 22 W device has a voltage rating of 220 V, which is the same as the voltage of the mains, and the 11 W device has a voltage rating of 110 V.

When the switch is turned on, the voltage across the two devices will be the same, which is 220 V. Therefore, the 22 W device will operate normally, but the 11 W device will be subjected to a higher voltage than its rated voltage. As a result, the 11 W device is likely to burn out before the 22 W device.

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em 6
Which provides a definition for
matter?
Anything that
A.
B.
C.
D.
is solid and has weight
takes up space and is heavy
takes up space and has mass
is a liquid or solid​

Answers

Answer:

definition of matter is that matter takes up space and has mass

A steam power plant operates between the pressure limit of 3.0 Mpa for the boiler and 75 kPa for the condenser. The plant operates in an ideal Rankine cycle with reheater with superheated vapor enters the high pressure turbine at 3 Mpa and 300 oC, and leaves at 1 MPa. Steam is then reheated at constant pressure to 300 oC before it is expanded to 75 kPa in a low pressure turbine. Determine:
a. the moisture content at the inlet of the condanger.
b. the met works per unit mare of steam tomane In Site.
c. the heat transter to the steam in the boter in lal per ke of steam.
d. the thermal efficiency
e. the heat transfer to cooling water passing through the condenser, in kJ per kg of steam flowing.

Answers

The dryness fraction is 0.96. Using steam tables the enthalpies at points 2, 3, and 4 can be calculated as 2936.4 kJ/kg, 2892.3 kJ/kg, and 1039.2 kJ/kg, respectively. The value of q is found to be 1438.3 kJ/kg.

a) 0.2, b) 2687 kJ/kg, c) 0.16 kJ/kg.K, d) 32%, e) 2549.52 kJ/kgPart (a): The steam is superheated at 300°C and 3 MPa, using steam tables it can be seen that the dryness fraction is 0.96.Part (b): This can be calculated using the formula shown below. The net work done by the turbine is given as follows: Net work = m (h1 - h2) + m (h3 - h4) Where m is the mass of the steam entering the turbine and h1, h2, h3, and h4 are the enthalpies at the different points in the cycle.h1 is given as 3478 kJ/kg, and using steam tables the enthalpies at points 2, 3, and 4 can be calculated as 2936.4 kJ/kg, 2892.3 kJ/kg, and 1039.2 kJ/kg, respectively.

Substituting the values in the formula gives the answer as 2687 kJ/kg.Part (c): Heat transfer per unit mass of steam to the boiler can be calculated using the formula shown below:q = h1 - h4 The value of q is found to be 1438.3 kJ/kg. Part (d): The thermal efficiency of the cycle can be calculated using the formula shown below: Efficiency = Net work output/ Heat inputHeat input can be calculated as follows: Heat input = m (h1 - h4) + m (h3 - h2) The value of heat input is calculated to be 4485.4 kJ/kg Substituting the values in the formula gives the answer as 32%.Part (e): The heat transfer to cooling water passing through the condenser is given as follows:q = m (h4 - h5)Where h4 is 1039.2 kJ/kg and h5 is 48.72 kJ/kg. The value of q is calculated to be 2549.52 kJ/kg.

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what is the resistance of an object that produces a current of a 6 A and has a voltage of 30 ​

Answers

Answer:

this is the answer the required questions

hope you like this

what is the resistance of an object that produces a current of a 6 A and has a voltage of 30

if the plate separation is 4.00 mm, (a) what is the time rate of increase of electric field between the plates?

Answers

The time rate of increase of electric field is also zero. Hence, the answer is:  \($\frac{dE}{dt} = 0$\)

Assuming there is a constant potential difference between the plates of a capacitor, the time rate of increase of electric field between the plates can be calculated using the following formula:

\($E = \frac{V}{d}$\)

where E is the electric field, V is the potential difference, and d is the distance between the plates.

In this case, the plate separation is given as 4.00 mm. We can assume that the potential difference between the plates is constant. Therefore, the time rate of increase of electric field can be calculated by taking the derivative of the electric field with respect to time:

\($\frac{dE}{dt} = \frac{1}{d}\frac{dV}{dt}$\)

Since the potential difference is constant, the derivative of potential difference with respect to time is zero. Therefore, the time rate of increase of electric field is also zero.

Hence, the answer is:  \($\frac{dE}{dt} = 0$\)

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Help, please I can't figure this out!​

Help, please I can't figure this out!

Answers

Answer: A The more massive ball would be accelerated less by the wind gusts than the foam ball would.

Explanation:  

D: the ball can't slow wind down

C: the lighter an object the less energy is needed to move.

B: the heavier ball requires more energy to throw than the lighter ball

A: since the ball is heavier than the foam ball it take more force to make it accelerate so since the foam ball is so light it wouldn't be accelerated as much as the heavier ball

not all of the potential energy of the roller coaster cars is converted to kinetic energy and back again. some mechanical energy is converted to thermal energy. describe how mechanical energy gets converted to thermal energy along the track.

Answers

This statement is true. Not all of the potential energy of the roller coaster cars is converted to kinetic energy and back again, some mechanical energy is converted to thermal energy.

The amount of mechanical energy in the system is reduced as a result of the force of friction acting on the moving automobiles. Consequently, the mechanical energy is not wasted.

It is converted into thermal energy, which is discernible as an elevation in the track and car wheels' temperature on a roller coaster.

The coaster's kinetic energy turns back into potential energy when it climbs one of the subsequent, smaller hills after the initial lift hill.

In this manner, the track's route continuously transforms energy from kinetic to potential and vice versa.

A portion of the energy is always converted into thermal energy whenever this occurs. Friction is a source of heat energy. Frictional energy is not usable energy. It isn't put to use for labor.

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help pls include work plzzz

15. If an object accelerates from rest, with a constant acceleration of 5.4 m/s2, what will its velocity be after 28 s?

16. An object is traveling at a constant velocity of 15 m/s when it experiences a constant acceleration of 3.5 m/s2 for a time of 11 s. What will its velocity be after that acceleration?

17. An object is moving at a velocity of 23 m/s. It accelerates to a velocity of 85 m/s over a time of 8.3 s. What acceleration did it experience?​

Answers

Explanation:

15. vt = vo + at

vo = 0 (at rest)

vt = 0 + (5.4)(28) = 151.2 m/s

16. vt = vo + at

vo = 15 m/s

vt = 15 + (3.5)(11) = 53.5 m/s

17. vt = vo + at

vo = 23 m/s

vt = 85 m/s

a?

85 = 23 + a(8.3)

85 - 23 = 8.3a

62 = 8.3a

a = 62/8.3 = 7.469 ≈ 7,5 m/s²

Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 164000 kg and a velocity of 0.324 m/s, and the second having a mass of 95000 kg and a velocity of -0.096 m/s. (The minus indicates direction of motion.) What is their final velocity

Answers

When two train cars collide, they will couple together by being bumped into each other. In this case, we have two loaded train cars moving toward one another, with the first car having a mass of 164000 kg and a velocity of 0.324 m/s, and the second car having a mass of 95000 kg and a velocity of -0.096 m/s (the minus indicates direction of motion).

To determine their final velocity after collision, we need to apply the principle of conservation of momentum. The total momentum before the collision equals the total momentum after the collision. Therefore, we have:m1v1 + m2v2 = (m1 + m2)vfwhere m1 and v1 are the mass and velocity of the first car, m2 and v2 are the mass and velocity of the second car, and vf is their final velocity.

Substituting the given values, we get:(164000 kg)(0.324 m/s) + (95000 kg)(-0.096 m/s) = (164000 kg + 95000 kg)vf53592 - 9120 = 259000 kgvfvf = (53592 - 9120) / 259000 kgvf = 0.161 m/sTherefore, their final velocity is 0.161 m/s.

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a horse is tied with a 2m long rope at a pole. what distance will the horse run around the pole with a rope tightly stretched, if it takes and one a half rounds? also find the displacement of the horse

Answers

Answer: Total distance = 4π meters and the Total Displacement = 0

Explanation: 1.5 rounds around the pole = 1.5 times the circumference of the circle form by the rope.

Circumference of a Circle = 2πr

from the question the radius = 2m, hence the total circumference = 2π*2 = 4π meters.

Displacement which is distance between initial position and final position. When the horse takes one and a half rounds around the pole, it ends up back at the starting point. Hence, the displacement is zero.

if a needle had to be removed from a syringe, what would be the safest way to do so based on safe sharps work practices? remove the needle by twisting off the syringe directly by hand ask a colleague to hold the syringe while you twist the needle off by hand recap the needle with a forceps, then remove the needle from the syringe by hand use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed

Answers

The  safely removing a needle from a syringe based on safe sharps work practices is to use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed.

This method ensures that the needle is immediately disposed of in a safe manner, reducing the risk of accidental needlestick injuries. It is important to never remove the needle by twisting off the syringe directly by hand, as this can cause the needle to become dislodged and potentially cause harm. Similarly, asking a colleague to hold the syringe while you twist the needle off by hand also poses a risk. Recapping the needle with forceps before removing it by hand is also not recommended, as it increases the risk of needlestick injuries. Therefore, using a needle box equipped with a needle removal device is the safest and most effective method for removing a needle from a syringe.

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A ball rolls 10 meters in 5 seconds. What is its speed?

Answers

Answer:

2m/s

Explanation:

10m / 5 s

Simplify and divide.

2 m / 1 s

Answer:

The speed would be 2

Explanation:

Sandra throws an object into the air with an initial vertical velocity of 38 ft/s, from a platform that is 30 ft above the ground. How long will it take the object to hit the ground

Answers

It will take approximately 1.98 seconds for the object to hit the ground after Sandra throws it into the air with an initial vertical velocity of 38 ft/s from a platform 30 ft above the ground.


Step 1: Identify the given information.
Initial vertical velocity (v0) = 38 ft/s (upward)
Initial height (h0) = 30 ft
Final height (hf) = 0 ft (ground level)

Step 2: Use the following kinematic equation to relate the heights, initial vertical velocity, and time (t) for a falling object:
hf = h0 + v0*t - (1/2)*g*t²

Here, g is the acceleration due to gravity, which is approximately 32 ft/s² for objects near Earth's surface.

Step 3: Plug in the given values and solve for time (t).
0 = 30 + 38*t - (1/2)*32*t²

Step 4: Rearrange the equation to get a quadratic equation.
0 = -16t² + 38t + 30

Step 5: Solve the quadratic equation for t using the quadratic formula or factoring, if possible.
t ≈ 1.98 s (ignoring the negative root since time cannot be negative)

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how are q and w related during the isobaric part of the overall path from state d to state b?

Answers

The way that Q and W are related during the isobaric part of the overall path is that W provides energy output, while Q provides energy input; Q is larger. Option A.

What is the isobaric part?

A thermodynamic process called an isobaric process keeps the pressure constant. This is typically accomplished by allowing the volume to alter in size in order to balance off any pressure changes brought on by heat transfer.

Vb > Vd

W tends towards the positive. This is the energy output of the system. The pressure is constant so Q is energy input. Hence the first option is the correct one

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Question

how are q and w related during the isobaric part of the overall path from state d to state b?

1. W provides energy output, while Q provides energy input; Q is larger

2. Both W and Q provide energy input

what is the best fuse for 1000 w heater?
a)3A
b)4A
c)5A
d)11A​

Answers

c)5A

Explanation:

As,

\(I = \frac{P}{V} = \frac{1000}{220} = 5\)


Please help!!!!

A student reads that the Mid-Atlantic ridge is growing wider every year as the North American and Eurasian plates move apart. Why is the separation between the two plates of little concern?

a. the separation occurs slowly at the rate of only a few centimeters a year

b. the magnetic force acting between the two plates remains strong

c. the seafloor between the two plates continues to hold them together

d. a landmass bridges the gap that is created by the separation of the two plates

Answers

Answer:

I think its D.....

A helium balloon is tied to a top-pan balance. A metal block of mass 100 g is placed on the balance. The reading on the balance is 91 g. Which statement can be deduced from this experiment?​

Answers

Answer:

The resultant downward force on the top-pan balance is 0.91N.

The best answer from the options is D : The resultant downward force on the top pan balance is 0.91 N

Although your question is incomplete attached below is the complete question.

Given data :

mass of metal block = 100 g

reading on the balance = 91 g

In order to deduce the best statement we will Neglect weight while considering the force acting on the balance ( reading on the balance ). therefore the resultant downward force on the top pan will be

91 g ≈ 0.91 N  ( 91 * 0.0098 N )

hence the statement that can be deduced from this experiment is that The resultant downward force on the top pan balance is 0.91 N

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A helium balloon is tied to a top-pan balance. A metal block of mass 100 g is placed on the balance.

You toss an apple horizontally at 9.5 m/s from a height of 1.8 m. Simultaneously, you drop a peach from the same height. How long does it take the peach to reach the ground?​

Answers

Answer:

Peach and Apple will take the same time as the gravitional pull acting on both of them is equal.

height of peach=initial velocity*time+1/2*gravitional pull*(time^2)

1.8=0*time+1/2*9.8*time^2

1.8=0+1/2*9.8*time^2

1.8=1/2*9.8*time^2

3.6/9.8=time^2

taaking value of gravitional pull approx to 10

3.6/10=time^2

0.36=time^2

0.6=time

therefore, the time taken is 0.6sec

Explanation:

The time it takes the peach to reach the ground is 0.61 sec

From the question,

We are to determine how long it would take the peach to reach the ground.

From one of the equations of kinematics for free falling objects,

We have that

\(H = ut + \frac{1}{2}gt^{2}\)

Where

H is the height

u is the initial velocity,

t is the time

and g is the acceleration due to gravity ( g = 9.8 m/s²)

Since the object is dropped with no velocity, then the initial velocity is 0 m/s

From the given information

H = 1.8 m

u = 0 m/s

Putting the parameters into the formula,

We get

\(1.8 = 0(t) + \frac{1}{2}(9.8)t^{2}\)

This becomes

\(1.8 = 0 + 4.9t^{2}\)

\(1.8 = 4.9t^{2}\)

Then,

\(t^{2} = \frac{1.8}{4.9}\)

\(t^{2} = 0.367347\)

∴ \(t =\sqrt{0.367347}\)

t = 0.60609 sec

t ≅ 0.61 sec

Hence, the time it takes the peach to reach the ground is 0.61 sec

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You have been put in charge of connecting two company networks that were previously separated. You need to connect a 100BaseTx Ethernet network with an older token ring network. Most traffic will be localized within each network, with only a little traffic crossing between networks. Both networks are using the TCP/IP protocol suite. Which connectivity device would be the best choice in this situation URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTSPLEASE ANSWER FAST!!! Can someone plz help me with this one problem plzzzzz Its ratios not that hard plss help!!! Joseph and Lillian have been married for 9 years and love each other exceedingly. They share their joys and sorrows and spend significant time with each other. They go on vacation together and place a high priority on fulfilling each other's needs. However, they do not have erotic feelings for one another. Identify the sexual style that is most likely followed by Joseph and Lillian in this scenario. pain level 7 out of 10 with no pain relief after meds given what should you do? you. would then use an opioid nclex In a 180-kilogram sample of ore, there was 3.2% metal. How many kilograms of metal were in the sample? Intro You own 20,000 shares of stock in Short-Term Corp. The company is expected to pay a dividend of $7 per share in one year, and a liquidating dividend of $80 per share in two years. The required return on the stock is 12% and there are no taxes. BAttempt 1/10 for 10 pts. Part 1 What is the current stock price? 0+ decimals Submit Part 2 Attempt 1/10 for 10 pts. If you prefer equal dividends in both years, how many shares should you buy (enter as a positive number) or sell (enter as a negative number) in one year (just after the dividend payout)? 0+ decimals Submit Choose a verb to complete the conversations.---Por favor, mam, yo quiero llevar la cmara.-No, yo voy a (1)(llevarla/llevarlo), t eres muy desordenada.-Pero, mam... Entonces, yo llevo los pasaportes.-No y no. Yo (2)(los llevo/ las llevo).-Qu mala eres!-David, ya estamos listos para salir de viaje?-No, primero tengo que llamar a mi novia.-Mmm... No tenemos tiempo. Ya se! Puedes (3)(llamarlos/llamarla) desde laestacin del tren.- Tienes razn. Un momento, tambin tenemos que comprar un mapa!---Ay, no... Rpido! Vamos a (4)(comprarlo/comprarlos).-Seorita Linares, por favor, confirme la reservacin en el hotel.-S, seor. Voy a (5)(confirmarla/confirmarlo) ya mismo.-Y recuerde enviar las maletas al aeropuerto.-S, (6)(las envo/los envo) por la tarde, seor Mrquez.-Ay, no, dnde estn los pasajes? No (7)(las encuentro/los encuentro).- Voy a (8)(buscarlo/buscarlos).-Ah! No se preocupe, aqu estn.-Qu desordenado es usted, seor Mrquez! Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. How many rides did Penelope get to ride if she spends $35 in all. i need help with history i dotn get this at all step by step explanation please source selection criteria for selecting a contractor might include: production capacity, business size and type, past performance, and references. these are all examples of typical criteria within which category? Which of the following is a series of standards adopted by the International Organization for Standardization to spell out acceptable criteria for quality systems?ISO 9000ISO 14000ISO 18001 A matatu carries 14 passengers per trip. Inone day, the matatu makes 3 trips. Howmuch money does the matatu makc in oneweek, if each passenger pays Sh. 80 pertrip? True or false? When migration is done from the firewall of another vendor to a Palo Alto Networks firewall, a best practice is to always migrate the existing Security policy. ________ involves using social networks and social media to give customers a convenient way to get help from a company.A) Networked organizationB) Virtual organizationC) Social customer serviceD) Sentiment analysisE) Socialization Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the companys production for the coming year, v, with respect to the number of days, d. The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function. What is the valueof m when p= 323p + 2 = mm =O11008O53 Exercise 2 Draw a line under the subject. Then write the form of the verb in parentheses that agrees with the subject. Use the present tense of the verb when you write it.Mr. Randolph, accompanied by his family, ______________ driving across the country. (be) How have the social media helped in making each art from more popular at present than in previous decades