We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?

Answers

Answer 1

The Acceleration of the system is 6.41 m/s².

Given,

α= 15°, m₁ = 7kg

β= 65°, m₂ = 11 kg

Let, a be the acceleration and T is the tensions at the end it's the cord.

Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,

Resultant force, m₂a=m₂g sin β -T

11a=((11) ×g sin 65°) -T  ...(i)

Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.

Resultant force m₁a = m₁g sin α+T

7a =7g sin 15°+T  ...(ii)

Solving both the equations by adding them,

18a=11gsin 65°+7g sin 15°-T+T

18a=11gsin 65°+7g sin 15°=115.45

a=115.45/18=6.41 m/s²

Hence, the Acceleration of the system is 6.41 m/s².

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Related Questions

Use the image to determine the volume of the rock.

Answers

Answer:

12 ml

Explanation:

The initial volume in the cylinder is 20 ml

 adding the rock adds volume to the cylinder

       the new volume is 32 ml .....the increase in volume is the volume of the rock :   32 - 20 = 12 ml    volume of rock

Please Answer this question! I would be very grateful!

Answers

Answer:

friction

Explanation:

i believe that is the answer

Answer:

Option C - Friction

Explanation:

Inertia would be an invalid option as it is not changing state.

Gravity would be invalid option as it will stay on the ground constantly.

Friction would be a valid option as the friction between the bottom part of the furniture and the floor are being rubbed together .

Air resistance is valid but will not be as strong as the friction

Therefore Option C - Friction will be the primary force that the person has to work against to keep this piece moving .  

Hope this helped and have a good day

A brass measuring tape is correct at 20°C. The value obtained when the length of a field is measured with the rule at 50°C appears to be 70.5 m. What is the true length of the field? Linear expansivity of brass = 1.8 x 10-5 K-1,​

Answers

Answer:

A 2kg block is moved a long a level floor by a horizontal force of 20N if the coefficient of sliding friction is 0.4

what is the acceleration of the blove

which blu-ray standard defines rewritable disks?

Answers

The blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.

What is BD-RE?

BD-RE stands for Blu-ray Disc Recordable and it refers to two direct to disc optical disc recording technologies that can be recorded on to a Blu-ray-based optical disc with an optical disc recorder.

Thus, the blu-ray standard that defines rewritable disks is BD-RE which stands for Blu-ray Disc Recordable.

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a protostar will continue to collapse due to gravity until it reaches the main sequence, and then gravitational collapse will stop when _____ begins.

Answers

a protostar will continue to collapse due to gravity until it reaches the main sequence, and then gravitational collapse will stop when fusion of hydrogen begins.

What is a protostar and how does gravity affect it?

A protostar serves as a very young star which is very small in mass and still developing its mass from parent molecular cloud.

However, it can be affected by gravity because , when there is not  collapse on the gravity, if there is fusion of hydrogen begins in it.

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Explain how the scenario below illustrates a lack of understanding of the importance of quality control.

Situation: Tomas is the manager of a local restaurant.

Tomas: “The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch.”

Answers

Answer:

He is being careless.

Explanation:

he is trying to "get rid" of one problem so he can tackle another. This is food though, and you have customers to serve. You also have to be careful about food poisoning.

which is a barrier to the correct interpretation of what you hear?

Answers

The a barrier to the correct interpretation of what you hear can occur due to different frame of reference.

What is frame of reference?

A frame of reference is a particular set of beliefs or ideas on which you base your judgment of things.

A barrier in the correct interpretation of information can occur when two observers are in different frames of reference.

Thus, the a barrier to the correct interpretation of what you hear can occur due to different frame of reference.

The complete question is below:

Which is a barrier to the correct interpretation of what you​ hear?

-Different frame of reference

-Dissimilar vocabulary

-Differing accent

-Jargon usage

-Poor explanation

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My predicted height was lower than the final height i measured. this is because friction slowed the puck as it was sliding along the track. do you agree or disagree with khadija

Answers

I disagree since friction will cause the ultimate height to be lower than what was anticipated. To reduce the height, resist the action.

What is the height?

The vertical distance between an object's top and the bottom is defined as its height.

It is measured in centimeters, inches, meters, and other units. The height of the cliff is obtained by the Newton equation of motion.

My actual height was less than what I had anticipated. this is because the puck's movement along the track was impeded by friction.

To the Khalida, I object. Disagree, since friction will cause the ultimate height to be lower than the anticipated height. To reduce the height, resist the action.

Hence, I disagree with Khalida.

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write short notes on:
human made wetland​

Answers

Any type of wetland that has been developed or maintained by humans for uses such as aquaculture, irrigation, or water storage.

What is a human-made wetland​ ?

Any kind of wetland that has been created or kept up by people for purposes like water storage, irrigation, or aquaculture.

In India's Punjab state, in the Kapurthala district, lies the man-made Kanji Wetland, which includes the Kanji Lake.

In order to give irrigation facilities to the hinterland, it was built by building the headworks over the perennial Bien River, a tributary of the Beas River.

The Sunderbans are India's biggest wetland. The world's biggest mangrove forest includes Sunderban Wetland.

Hence, the human-made wetland​ is an artificial wetland.

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why do areas with low altitude have warmer air than areas with high altitude

Answers

Answer:

Air at higher altitude is under less pressure than air at lower altitude because there is less weight of air above it, so it expands (and cools), while air at lower altitude is under more pressure so it contracts (and heats up).

Explanation:

Hope that helped

1. Which of the following is the best description of combustion. Combustion is when you ___________________.

A. Use oxygen and a sugar to make energy and carbon dioxide.
B. Use oxygen to convert a fuel to heat and light energy.
C. Use carbon dioxide and light energy to make oxygen and heat energy.
D. Use carbon dioxide and a fuel to produce water vapor and energy.

Answers

Combustion is when you use oxygen to convert fuel to heat and light energy. Option B is correct.

What is combustion?

Combustion is a chemical process in which a substance reacts rapidly with oxygen and gives heat.

The fuel can be a solid, liquid, or gas.

For example, charcoal is combined with oxygen.

Combustion is commonly called burning, and the substance that burns is usually referred as fuel.

For combustion to occur few things must be present:

fuel to be burned.

A source of oxygen

A source of heat.

Hence, Combustion is when you use oxygen to convert fuel to heat and light energy. Option B is correct.

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Two friends leave a movie theater and take different busses to the same ice cream shop. one bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads. which friend has the greater displacement?

Answers

The friend who has the greater displacement is the one who takes the longest path.

What is displacement?

The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.

Given, two friends leave a movie theater and take different buses to the same ice cream shop. One bus takes a longer route driving on a high-speed highway, while the other takes a shorter route on lower-speed local roads.

According to the definition. the displacement is neither larger not shorter but it is the shortest distance traveled by the person or particle.

Thus, friend who has longer path has larger displacement.

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A 3-V adaptor using a half-wave rectifier must supply a current of 0.5 A with a max- imum ripple of 300 mV. For a frequency of 60 Hz, compute the minimum required smoothing capacitor.

Answers

The minimum required smoothing capacitor is determined as 27.8 mF.

Minimum required smoothing capacitor

The minimum required smoothing capacitor is calculated as follows;

Ripple amplitude is given as;

[tex]V_R = \frac{I_L}{C_1f_{in}}[/tex]

where;

VR is maximum ripple voltagef is frequencyC1 is smoothing capacitorI is current

[tex]C_1 = \frac{I_L}{V_Rf_{in}}\\\\C_1 = \frac{(0.5)}{(300 \times 10^{-3})(60)} \\\\C_1 = 0.0278 \ F\\\\C_1 = 27.8 \ mF[/tex]

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In a solar system, two comets pass near the sun, which is located at the origin. comet e is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and comet h is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units. part a: what are the vertices for the path of comet e

Answers

The vertices of the path of the comet e are (-12,0) and (+12,0) as it is moving an elliptical path.

Given, that the Sun is located at the origin.

Comet e is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse:

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose, Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16 &

a²=144

a = 12

and,

b²=400

b=20

So, Centre (0, -16),

Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet e are (-12,0) and (+12,0).

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state advantages of ultrasonic sound in determining the depth of the ocean ​

Answers

Answer:

It has greater accuracy than other nondestructive methods in determining the depth of internal flaws and the thickness of parts with parallel surfaces.

Explanation:

Hope this helps you!

hen approaching a curve, it is best to: A. Search for possible collision traps and escape paths B. Stay close to the centerline if there is oncoming traffic C. Squeeze the clutch lever to slow down D. Shift to a higher gear

Answers

Squeezing the clutch lever to slow down is best to be done when approaching a curve and is denoted as option C.

What is Clutch?

This is a mechanical device which used in the engagement and disengagement of transmission system in a vehicle.

Slowing down will give the driver more time to maneuver the curves so as to prevent accident. This is why it is imperative to squeeze the clutch in such road condition.

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What is the unit of velocity ratio and why​

Answers

Answer:

the unit of velocity is meter per second

Answer:

No unit

Explanation:

If this question is asking what the unit of velocity to velocity is i.e. v/v then there is no unit because the units are canceled.

Banked Curves: A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction

Answers

The angle of baking from the calculation is obtained as 30°.

What is banking?

The term banking refers to a means of preventing vehicles from skidding off the road at curves.

We know that the banking angle is obtained from;

θ = tan-1(v^2/rg)

v = 24.5 m/s

r = 110 m

g = 9.8 m/s^2

θ = tan-1(25^2/9.8 * 110)

θ = tan-1(625 /1078)

θ = 30°

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A glider with a mass of 2 kg is moving rightward at 1 m/s. A second glider, with a mass of 3 kg, is also moving rightward, at 5 m/s. After the two gliders collide, the first glider is moving rightward at 2 m/s. What is the velocity of the second glider after the collision

Answers

The velocity of the second glider after the collision is 4.33 m/s rightward.

Velocity of the second glider after the collision

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ is mass of first gliderm₂ is mass of second glider u₁ is initial velocity of first glideru₂ is initial velocity of second gliderv is the final velocity of the gliders

(2)(1) + (3)(5) = (2)(2) + 3v₂

17 = 4 + 3v₂

3v₂ = 17 - 4

3v₂ = 13

v₂ = 13/3

v₂ = 4.33 m/s

Thus, the velocity of the second glider after the collision is 4.33 m/s rightward.

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where does the potential energy of rocket goes when it escape from the influence of the earth

Answers

The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.

What is escape speed?

Escape velocity or escape speed is the minimum speed required for a free, non-propelled object to escape from the gravitational pull of the main body and reach an infinite distance from it in celestial physics.

It is commonly expressed as an ideal speed, neglecting atmospheric friction.

If a spacecraft is launched from the moon at the escape speed of the earth then the value of escape speed will be the difference in both the velocities.

An object's height above the zero position directly relates to its gravitational potential energy.

The kinetic energy of motion is converted into gravitational potential power as your rocket ascends.

The rocket possesses gravitational potential energy as it climbs because it is becoming farther away from the Earth's surface, much as a positive and negative charge moving apart.

The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.

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A 45. 5-g super ball traveling at 27. 5 m/s bounces off a brick wall and rebounds at 21. 0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3. 30 ms, what is the magnitude of the average acceleration of the ball during this time interval?.

Answers

The magnitude of the average acceleration of the ball during this time interval will be 1969.69 m/s².

What is acceleration?

The rate of velocity change concerning time is known as acceleration.

Given data;

Initial velocity, u= 27.5 m/s

Rebound velocity, v= 21.0 m/s

Time elapsed, t = 3.30 × 10⁻³ seconds.

To find ;

Average acceleration, a

The average acceleration when the change in velocity is observed by the formula as:

[tex]\rm a_{avg}= \frac{v-u}{t}[/tex]

Substitute the given values:

[tex]\rm a_{avg}= \frac{27.5-21.0}{3.30 \times 10^{-3}} \\\\ a_{avg}= 1969.69 \ m/s^2[/tex]

Hence, the magnitude of the average acceleration of the ball during this time interval will be 1969.69 m/s².

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A block of mass m on a horizontal frictionless surface is pushed against a spring. If the spring is compressed a distance of x, then the velocity of the object when the spring returns to the equilibrium position is best represented by:

Answers

[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex] is the velocity of the object.

What is Law of conservation of energy?

It states that energy can neither be created nor destroyed only converted from one form of energy to another.

According to law of conservation of energy:

T.E = Constant.

Also , P.E. = [tex]\frac{1}{2} kx^{2}[/tex] , K.E. = [tex]\frac{1}{2} mv^{2}[/tex]

T.E = P.E + K.E = [tex]\frac{1}{2} mv^{2}[/tex]

According to the question ,

2P.E. = [tex]\frac{1}{2} mv^{2}[/tex]

P.E. = [tex]\frac{mv^{2} }{4} = \frac{1}{2} k x_{0} ^{2}[/tex]

[tex]x_{0} ^2= v^{2} \frac{m}{2k}\\[/tex]

[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]

Therefore, the velocity of the object when the spring returns to the equilibrium position is best represented by [tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]

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vector a→ has a scalar components ax=35 m/s and ay=15 m/s. vector b→ has a scalar components bx=−22 m/s and by=18 m/s. determine the scalar components of vector c→=a→−b→

Answers

It should be the answer D

The scalar components of vector c are:

cx = 57 m/scy = -3 m/s.

How to find the difference between the vectors?

Here we have the vectors:

a = <35m/s, 15m/s>

b = <-22 m/s, 18 m/s>

And we want to find the difference, which is given by:

c = a - b = <35m/s, 15m/s> -  <-22 m/s, 18 m/s>

The difference is computed component by component, so we get:

c = <35m/s + 22m/s, 15m/s - 18m/s>

c = <57 m/s, -3 m/s>

Then the scalar components of vector c are:

cx = 57 m/s

cy = -3 m/s.

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A charge of 5.67 x 10^-18 C is placed 3.5 x 10^-6 m away from another charge of -
3.79 x 10^-19 C. What is the force of attraction between them?

Answers

+ 1.58 e -15

Please hit thanks button! :)

a 5200w electric oven​

Answers

Answer:

104 kWh

Explanation:

To calculate the kWh you multiply power with the amount of hours.

So for this we take 5200 W × 20 = 104 000 Wh

Then change Wh to kWh so that makes 104 kWh

If a BASEBALL is traveling in projectile motion, in what direction is it going?

Answers

The  direction the BASEBALL which is traveling in projectile motion is going is called a parabola.

What is projectile motion?

Projectile motion is the motion of an object launched into the air at an angle to the horizontal and allowed to fall freely under the effect of gravity.

The  object is known as a projectile, and the path of motion is a curved path called a parabola.

Therefore, the direction the BASEBALL which is traveling in projectile motion is going is called a parabola.

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Which property help to explain differences in the specific heat capabilities of two substances

Answers

Answer:

Forces between molecules

Explanation:

The tensions between molecules are the characteristic that explains variances in the specific heat capacity of two substances.

This means that a substance's specific heat capacity will increase or be higher the closer its atoms are bound together. As a result, it differs for the different states of matter, such as solid, liquid, and gas.

give two reasons why carbon brushes and commutators are made of graphite?​

Answers

Answer:

Graphite is a good conductor of electricity

it allows easy shift of current between the comm

Explanation:

Could you sky-dive on the Moon? Why or why not?

Answers

Answer:

no

Explanation:

the moon's force of gravity is not strong enough to pull you down compared to earth, so you will just float

It is a state of matter wherein particles are tightly packed, but are far enough apart to slide over one another.

A. Gas
B. Liquid
C. Plasma
D. Solid​


please help me


Answers

Particles that are closely packed but spaced apart enough to move over one another are called plasma. Option C is correct.

What is the plasma state of matter?

Plasma is a state of matter wherein particles are tightly packed but are far enough apart to slide over one another.

The following conditions are followed by the plasma state.

Hence, option C is correct.

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Period of y = negative 2 sin x A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______. Psychology is a combination of the Greek words psyche, which means soul or mind, and logos, which means the study of.Please select the best answer from the choices providedTF Tracey decides to give $1 to 5 of her close friends everyday she is late for Algebra class. Algebra class meets 3 days a week. Tracey has been late to class everyday for 4 weeks. How much money has she lost? An organ system is a group of organs that work together to perform _____ functions in a multicellular organism What amount would u have if u deposited 1800 a year for 30 years at 7% compounded annually What indicates that the author's purpose is to inform readers about travel south of Madagascar and Zanzibar?The author shares facts and specific details about the difficulty of sailing in the region.The author tells a dramatic story about ships having difficulty sailing in the region.The author expresses nervousness about the animals living in the region.The author wants to discourage readers from trying to sail in the region. Find the derivative of y = x^3/2.Find the derivative of y = 1/x^3.Find the derivative of y = 1/x. Select the correct text in the passage. read this advertisement for a presentation on the ancient egyptians. which sentence best expresses the central idea of the passage? adapted from in their own words: the ancient egyptians for many, egypt inspires thoughts of pyramids, tombs, and temples, grandiose displays of elite power. egyptian civilization may seem too distant to relate to modern circumstances, but universal themes of love and strife found in egyptian writings show a world not dissimilar from our own. how can i go on when my world has been turned upside down? should i disobey my parents? what profession should i choose? these questions are as relevant today as they were thousands of years ago. this presentation explores these familiar struggles as documented in egyptian literature, including love songs, legal documents, and the first recorded labor strike. which of the following is not an internet service?(a) E-supermarket(b) Blogging(c) E-commerce(d) E-mail mineral luster is broadly classified as either being metallic or ________. Which countries was NOT involved inthe Seven Years War? Mr. Kitten purchased an annuity contract for $50,000 from the XYZ Company on March 31, 2022. He is to receive $1,000 per month starting April 1, 2022, and continuing for life. He has a life expectancy of 10 years as of March 31, 2022. Mr. Kitten's reportable annuity income for 2022 is: The scenarios each illustrate a principle of economics. classify each scenario according to the principle that best fits it. you are currently in a labeling module. turn off browse mode or quick nav, tab to items, space or enter to pick up, tab to move, space or enter to drop. on black friday, there are huge sales for electronics at many retail stores. david must decide between buying a camera at one store or a flat screen tv at another store, and buying one means losing out on the ability to purchase the other. an educational software company wants to expand the number of economics questions that it offers and is considering hiring another economist. the company compares how much adding another worker will improve the product to the additional cost. ava finds that there is not enough time after work to have dinner, exercise, and watch tv, and she must make choices about how to use her limited time. What did Cooley mean by his term looking-glass self with respect to the socialization process? Assume that t varies jointly as r and q2. If t=320 when r=5 and q = 4, what is the value of q when r= 1 and t= 196?q= choose the one that shows the correct answer A cylindrical metal bar of diameter 14cm and length 484 cm is to be melted to make a metalic cube.if one side of the box is 220mm,how many boxes were produced? Which of the following is a decomposer A. Worm B. Banana C. Ferm D. Wolf Which item best completes this list?Elements of the Western Economy------------------------------------------------------Natural Resources -Agriculture-Some Slave Labor- ???A. High TariffsB. ManufacturingC. Ship BuildingD. Cotton Production