Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M1 = 1.9 kg and M2 = 2.8 kg. Block 1 is a distance r = 0.95 m from the center of the frictionless surface. Block 2 hangs vertically underneath. find the speed of m1 assume m2 does not move relative to the table.

Answers

Answer 1

The speed of the block m1 on the frictionless table is 1.34 m/s.

The given parameters;

mass of the first block, m1 = 1.9 kgmass of the second block, m2 = 2.8 kgdistance of block m1, R = 0.95 m

The net torque on both blocks is calculated as;

[tex]\tau _{net} = I \alpha[/tex]

[tex]T_2R- T_1 R_1 = I \alpha \\\\[/tex]

where;

T₁ is the tension on first blockI is the moment of inertia of point massα is the angular acceleration

[tex]T_1 = m_1 g + m_1 a\\\\T_2 = m_2 g - m_2 a[/tex]

The acceleration of both blocks is calculated as follows;

[tex]R(T_ 2- T_1) = MR^2 \times (\frac{a}{R} )\\\\R(T_2 -T_1) = MRa\\\\T_2 - T_1 = Ma\\\\(m_2g - m_2 a) - (m_1 g + m_1 a) = Ma\\\\m_2 g - m_1 g - m_2 a - m_1 a = Ma\\\\g(m_2 - m_1) = Ma + m_2a+ m_1a\\\\g(m_2 - m_1) = a(M+ m_2 + m_1)\\\\where;\\\\M \ is \ mass \ of \ string = 0 \\\\g(m_2 - m_1) = a (0+ m_2 + m_1)\\\\g(m_2 - m_1) = a(m_1 + m_2)\\\\a = \frac{g(m_2 - m_1)}{m_1 + m_2} \\\\a = 1.88 \ m/s^2[/tex]

The speed of the block m1 is calculated as follows;

[tex]a = \frac{v^2}{r} \\\\v^2 = ar\\\\v = \sqrt{a r} \\\\v = \sqrt{1.88 \times 0.95} \\\\v = 1.34 \ m/s[/tex]

Thus, the speed of the block m1 on the frictionless table is 1.34 m/s.

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Related Questions

A pulley system has an efficiency of 87.5 percent.
How much of the rope must be pulled in if a force of
648 N is needed to lift a 150 kg desk 2.46 m?
(Disregard friction.)

Answers

Answer:

work done on desk = m g h = 105 * 9.81 * 2.46 = 2534 Joules

Explanation:

so work in = 2534 / 0.875 = 2896 Joules

that is your 648 times distance your hand moved holding the rope

2896 = 648 * x

4.47 meters

I think maybe a typo, 648 N is too big, maybe 64.8 ? Any block and tackle system does better than that.

What are the properties of object located at infinites

Answers

Answer:

As the parallel rays coming from the object converge at the principal focus, F of a concave mirror; after reflection through it. Therefore, when the object is at infinity the image will form at F. Properties of the image formed: Point-sized image, highly diminished in size.

At Infinity: At focus (F)

Position of object: Position of image

Between F and C: Beyond C

Beyond C: Between F and C

Explanation:

This is because when the object is at infinity, the incident rays are parallel to the principal axis. Hence the image is formed at the focus. And the image is real and inverted but in diminished size.

A raindrop strikes the ground with a speed of 8.5 m/s. The specific heat of water is 4.19 x 103 J/(kg•°C).
What is the raindrop’s change in temperature after it strikes the ground, in degrees Celsius, assuming all its initial kinetic energy goes into heating it?

Answers

Answer:

0.00862 °C

Explanation:

When all Kinetic energy goes Into heating we can write

Q= mc × change in temperature

Q = 1/2 mv^2

1/ 2 mv^2 = mc × change in temperature

cancel out m because its in both sides

1/2 v^2 = c × change in temperature

1/ 2 × 8.5 ×8.5 = 4190 × x

x = 0.00862 °C

The energy an object has as a result of motion is known as kinetic energy.A force must be applied to an object in order to accelerate it.We must put in effort in order to apply a force.After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

How is kinetic energy determined?

Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity.The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second. A particle or an item that is in motion has a sort of energy called kinetic energy.An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. When all Kinetic energy goes Into heating we can writeLet's consider a few instances where we see kinetic energy in daily life while keeping this formula in mind.Hydropower Plants, Windmills, Moving Cars, Gunshots, Flying Airplanes, Walking and Running, Cycling, and Rollercoasters are just a few examples.

Q= mc × change in temperature

Q = 1/2 mv^2

1/ 2 mv^2 = mc × change in temperature

cancel out m because its in both sides

1/2 v^2 = c × change in temperature

1/ 2 × 8.5 ×8.5 = 4190 × x

x =0.00862 °C

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Using sound waves signals allow oceanography to determine ocean depth

Answers

Answer:

echosounding

Explanation:

The time taken for the sound to travel through the ocean and back is then used to calculate water depths. The faster the sound waves return, the smaller the water depths and the higher the elevation of the seafloor.

Earth travels around the Sun in an elliptical orbit. Because of its elliptical orbit, Earth is not the same distance from the Sun at all times. When Earth is closer to the Sun, the amount of solar power that arrives at Earth's surface is greater. Total solar irradiance, also referred to as solar intensity, is defined as the total solar power received by a unit surface area and is measured in units of watts per square meter. The Sun's power output is 3.86 x 1026 W. The distance from Earth to the Sun is 0.9813 au when Earth is the closest, at perihelion, and 1.0160 au when Earth is the farthest, at aphelion. Calculate the average total solar irradiance Itop at the top of Earth's atmosphere. Express your answer to 4 significant figures. Itop = W/m²

Answers

The intensity of the radiation from the Sun reduces as the distance from the Sun increases.

The solar irradiance at the top of Earth's atmosphere is approximately 1,376.22 W/m².

Reasons:

The solar flux density is given by the formula;

[tex]\displaystyle S_d = \frac{L}{ \left(4 \cdot \pi \cdot d^2 \right)}[/tex]

L = 3.86 × 10²⁶ W

The average distance from the Earth to the Sun is found as follows;

[tex]d_{ave } = \displaystyle \frac{0.9813 \ au + 1.0160 \ au}{2} = 0.99865 \ au[/tex]

1 au = 1.496 × 10⁸ km

0.99865 au = 0.99865 × 1.496 × 10⁸ km = 149,398,040 km

[tex]\displaystyle S_d = \frac{3.86 \times 10^{26}}{ \left(4 \times \pi \times (1.49398040 \times 10^{11})^2 \right)} \approx 1,376.22[/tex]

The solar flux density reaching Earth, [tex]S_d[/tex] = The average total solar irradiance

[tex]I_{top}[/tex] at the top of Earth's atmosphere ≈ 1,376.22 W/m².

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The total momentum of a system of two moving identical bodies is zero. What should be true about the velocities of the bodies?

A) The velocities should be equal in direction and opposite in magnitude.
B) Both velocities should be zero
C) Both velocities should be equal in magnitude and opposite in direction
D) the velocities should be equal in magnitude and opposite in direction

Answers

For a zero total momentum of two bodies,  the two velocities of the two bodies should be equal in magnitude and opposite in direction

According to the principle of conservation of linear momentum, the total momentum of an isolated system is constant.

[tex]Pi = P_f \\\\m_1u_1 + m_2u_2 = m_1v_1 + m_2 v_2[/tex]

where;

u is the initial velocity of the two bodiesv is the final velocity of the two bodiesm is the mass of the two bodies

When the total momentum is zero, the velocities of the two bodies will have equal values but opposite signs.

Thus, we can conclude that for a zero total momentum of the two bodies,  the two velocities should be equal in magnitude and opposite in direction

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how do anatomical similarities and differences between various organisms ( living and fossils) help infer lines of Evolutionary descent

Answers

Answer:

Explanation:

Based on the generalization that "form follows function".

If two creatures have the same or similar anatomical structures used to complete a task such as eating, moving, hearing, smelling, reproduction, etc. the likelihood they are genetically related is high.

If two creatures have differing means or structures used for completing a task, the likelihood of them NOT being closely related is high.

Two spheres each have a mass of 2.0 x 10 kg. How far apart must they be to exert a
gravitational force of 50 N between them?
a).016 m b) 231 m c) 53,000 m
d) 110,000 m
e) 6.7 x 10" m

Answers

Hi there!

We can use the Gravitational Force equation:

[tex]F_g = \frac{Gm_1m_2}{r^2}[/tex]

Fg = Gravitational force (N)

m₁, m₂ = mass of spheres (kg)

r² = distance between the spheres

G = Gravitational Constant

We are given the force of gravity, so we can rearrange the equation to solve for r:

[tex]r^2F_g = Gm_1m_2\\\\r = \sqrt{\frac{Gm_1m_2}{F_g}}[/tex]

Plug in the given values:

[tex]r = \sqrt{\frac{(6.67*10^{-11})(2.0*10^9)(2.0*10^9)}{50}} = \boxed{231 m}[/tex]

Therefore, the correct answer is B) 231 m.

PLS HELP!!!!
by pushing the crate up the ramp rather than lifting it to the platform, you are using ________ force, but moving the crate a ____________ distance


A) more; less
B) more; greater
C) less; greater
D) the same amount; greater

Answers

Answer:

a

Explanation:

rwggwh4

Help me please I will give you a crown!!!!

Answers

Answer:

D. First F, then D, then C

Which of the following atoms contain a nucleus with no neutrons.
helium
hydrogen
deuterium
tritium

Answers

Answer:

Hydrogen

Explanation:

(H) atom does not have any neutrons in it's tiny nucleus.

Answer: C. Hydrogen

Explanation: Now I can answer the question lol, that bot didn't let me.

name a suitable thermometer for steady temperature of 1000 degree Celsius?

Answers

Answer: A platinum resistance thermometer

Explanation:

It is a versatile instrument for temperature measurement in the range from — 200° to 1000°C. It is used both for precision measurements of the highest accuracy and for routine industrial work.

Answer:

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Your own car has a mass of 1200 kg. If your car produces a force of 6000 N, how fast will it accelerate?

Answers

Using Newtons Second Law, we see that F = ma. Subbing in, we get 6000=(1200)a, which reduces to a=5 m/s^2

Question 1 (2.5 points)
Which of the following safety guidelines is NOT important to this lab experiment?
Use wet paper towels or a fire extinguisher to put out small fires.
Ensure that you have a clean working space to minimize errors.
Wear goggles when there are flying objects near your face.
Read instructions before beginning the lab so you know what you are doing.

Question 2 (2.5 points)
As the number of washers goes up, what happens to the mass and the centripetal force on the apparatus?
mass goes up, centripetal force goes down
mass goes up, centripetal force goes up
mass goes down, centripetal force goes down
mass goes down, centripetal force goes up

Question 3 (2.5 points)
What is the independent variable in this experiment?
number of washers
radius (length of string)
time for 20 revolutions
velocity

Question 4 (2.5 points)
What is the dependent variable in this experiment?
number of washers
radius (length of string)
time for 20 revolutions
velocity

Question 5 (2.5 points)
Why is it important to keep the length of the string the same?
Because it can affect the velocity by affecting the circumference.
To make the experiment easier.
Because that is the only length it will work properly at.
Because that is the only length it will work properly at.

Question 6 (2.5 points)
As the number of washers goes up, what happens to the circumference?
The circumference increases.
The circumference decreases.
The circumference stays the same.
What's a circumference?

Question 7 (2.5 points)
As the number of washers goes up, what happens to the time for 20 rotations?
The time increases.
The time decreases.
The time stays the same.

Question 8 (2.5 points)
As the number of washers goes up, what happens to the velocity?
The velocity increases.
The velocity decreases.
The velocity stays the same.

Question 9 (2.5 points)
Which of these is the best defintion for PERIOD in this experiment?
The time for one wave.
The time for one class.
The time for one revolution.
The dot at the end of a sentence.

Question 10 (2.5 points)
Why do we measure the time for 20 revolutions instead of the time for one revolution?
To get more accurate results.
Because human reaction time is too slow to reliably measure one revolution.
To reduce human errors in the results.
All the other answers are correct.

Answers

Answer:

I took the test on K12 and got an A

1. A

2. B

3. A

4. C

5. A

6. C

7. B

8. A

9. C

10.C

Do you believe that Freud’s theory was applicable only to the era in which he lived, or do you believe it can still be applied today?

Answers

Answer:

Freud's importance to psychology and psychiatry remains in the foundational aspects of the science of human behavior and the mind. Outside of Freudian psychoanalysis, Freud is no longer applicable or important to practical applications of psychological theory.

A car traveling 23 m/s begins to decelerate at a constant rate of 5 m/s2. After how many seconds does the car come to a stop

Answers

The time elapsed when the car comes to complete stop is 4.6 s.

The given parameters;

initial velocity of the car, [tex]v_0[/tex] = 23 m/sacceleration of the car, a = - 5 m/s²

The time elapsed when the car comes to complete stop is calculated as follows;

[tex]v_f = v_0 + at[/tex]

where;

[tex]v_f[/tex] is the final velocity of the car when it comes to a complete stop

[tex]0 = 23 + (-5)t\\\\0 = 23 - 5t\\\\5t = 23\\\\t = \frac{23}{5} \\\\t = 4.6 \ s[/tex]

Thus, the time elapsed when the car comes to complete stop is 4.6 s.

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The pressure of a constant volume gas thermometer is 2100N/M squared at 38c. What will be the temperature of the gas when the pressure is increased by 1/3?​

Answers

Answer:

Explanation:

In

Hello, I wanted an answer from a mathematician. The number 1.04 is closer to the number 1, 2, 1.25 or 1.5.

Answers

Answer:

1

Explanation:

line them up in order.

1, 1.04, 1.25, 1.5, 2

1.04 is in the middle of 1 and 1.25

1.04-1=0.04

1.25-1.04= 0.21

Answer:

1

Explanation:

1.04 lies between 1 and 1.25.

1.04 is 0.21 away from 1.25

1.04 is 0.04 away from 1.

0.04<0.21

who discovered earth was like a big magnet

Answers

ANSWER: William Gilbert

What characteristics do black holes have?

Answers

For astronomers the only three measurable physical properties that completely specify the characteristics of a black hole are its mass, its charge and its angular momentum.

Facts:

You Can't Directly See a Black Hole. ...
Our Milky Way Probably Has a Black Hole. ...
Dying Stars Lead to Stellar Black Holes. ...
There are Three Categories of Black Holes. ...
Black Holes Are Funky. ...
The First Black Hole Wasn't Discovered Until X-Ray Astronomy was Used.

can anyone heelp me plzz plzz

Answers

C would be the most accurate answer

if a 50.0 kg mass weighs 554 n on the planet saturn, calculate saturn's radius

Answers

Answer:

this is impossible unless im doing my math wrong sorry

Explanation:

If the acceleration vector of an object is directed parallel to the velocity vector, then Select one:
O a. the object is moving with a constant velocity.

O b. the object is turning.

O c. the object is at rest.

O d. the object is slowing down

O e. the object is speeding up.​

Answers

Answer:

a. The object is moving with a constant velocity.

A plane travels a distance of 3,650 kilometers in 5.50 hours. What is the average speed of the plane​

Answers

Answer: 625.71km/h

Explanation: Divide the numbers.

The vertical displacement of the wave is measured from the what? And what is the term for vertical displacement?

Answers

Explanation:

The vertical displacement of the wave is measured from the

equilibrium to the crest and is called the frequency.

crest to the trough and is called the amplitude.

trough to the trough and is called the wavelength.

equilibrium to the crest and is called the amplitude.

HØPÊ ĮŤ ÌŠ helpful

mark mE aS bRillAnT

4. If an object had a mass of 216 g on Earth what would its mass be on the Moon?

Answers

Answer: Weight changes with surface gravity.So in Moon mass will be same as 26 gram mes.

Explanation:

How do I start this question?

Answers

Answer:

Typing in the keyboard the question that you have

Explanation:

Please help me to solve this problem

Answers

What language is it in ?

a 225 kg crate is pushed horizontally with a force of 710n

Answers

Answer:

acceleration is 3.155

Explanation:

F = ma

710 = 225 a

a = 710/225

a = 3.155

What are three kinds of forces that affect an object’s motion? What effects do these forces have?
one-celled organism
Many-celled organism
the food making process

Answers

Answer:

Different forces (including magnetism, gravity, and friction) can affect motion

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