the block has a weight of 20 lb and is being hoisted at uniform velocity. determine the angle u for equilibrium and the force in cord ab.

Answers

Answer 1

The force in the cord ab is 37.6 lb when being lifted at a constant speed, and the angle u for balance.

Describe uniform velocity using an illustration.

The rotation of the earth is an example of a body that is moving with uniform velocity when its speed is increasing throughout an interval of time.

The sum of the forces in each direction must be zero in order to lift the block at a steady speed.

XFx = 0 : F sin θ − T sin 20° = 0

XFy = 0 : T cos 20° − F cos θ − 20 = 0

The tension in cord CAD stays constant throughout because there is no friction on the pulley: F = 20 lb.

20 sin θ − T sin 20° = 0......... (1)

T cos 20° − 20 cos θ − 20 = 0 ........(2)

Solve equation (1) for T

T = 20 sin θ/sin 20

and substitute it into equation (2).

(20 sin θ/sin 20°)cos 20° − 20 cos θ − 20 = 0

cot 20°sin θ − cos θ − 1 = 0

cot 20°sin θ − 1 = cos θ

cot 20°sin θ − 1 = √1 − sin2θ

cot²20°sin²θ − 2 cot 20°sin θ + 1 = 1 − sin²θ

(cot²20° + 1) sin²θ − 2 cot 20°sin θ = 0

csc²20°sin²θ − 2 cot 20°sin θ = 0

(csc²20°sin θ − 2 cot 20°) sin θ = 0

csc²20°sin θ − 2 cot 20° = 0 or sin θ = 0

sin θ = 2 cot 20°/csc² 20°

= 2 cos 20°sin 20° = sin 40° or sin θ = 0

θ = 40° or θ ≠ 0°.

Substitute this nonzero value for θ into the formula for T.

T =20 sin θ/sin 20°

≈ 37.6 lb

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Related Questions

A proton in the nucleus of an atom has an electrical charge of:
neutral
-
+
zero

Answers

Answer:

proton is positively charged changechar

Explanation:

The density of water is about 1 gram per milliliter. A milliliter is a cubic centimeter (i.e., cm3 ). A red blood cell has a density similar to water and is shaped like a one micrometer thick disk with a diameter of about 10 micrometers. About what is the mass in grams of a red blood

Answers

Answer:

The mass in grams of a red blood cell is about 7.85 ×  10⁻¹¹ grams

Explanation:

To find the mass in grams of a red blood cell,

From,

\(Density = \frac{Mass}{Volume}\)

Then,

\(Mass = Density \times Volume\)

From the question,

Density of a red blood cell is similar to that of water

Density of water = 1 g/mL = 1 g/ cm³

Then, Density of a red blood cell = 1 g/cm³

Now, we will find the volume a red blood cell.

From the question,  

A red blood cell is shaped like a one micrometer thick disk with a diameter of about 10 micrometers

Since the shape is like that of a thick disc, we can determine the volume by using the formula for volume of a cylinder.

Hence,

Volume of a red blood cell = \(\pi r^{2}h\)

Where \(\pi\) Is a constant (Take \(\pi\) = 3.14)

\(r\) is the radius

and \(h\) is the thickness

Diameter of a red blood cell = 10 micrometers

Then, radius of a red blood cell = 10/2 micrometers = 5 micrometers

\(r\) = 5 micrometers = 5 × 10⁻⁶ meters

and \(h\) = 1 micrometer = 1 × 10⁻⁶ meters

Hence,

Volume of a red blood cell = 3.14 × (5 × 10⁻⁶)² × 1 × 10⁻⁶

∴ Volume of a red blood cell = 7.85 × 10⁻¹⁷ cubic meter (m³)

Convert this to cubic centimeter

(NOTE: 1 cubic meter = 1000000 cubic centimeter)

Hence,

Volume of a red blood cell = 7.85 ×  10⁻¹¹ cubic centimeter (cm³)

Now, for the mass

\(Mass = Density \times Volume\)

Density of a red blood cell = 1 g/cm³

Volume of a red blood cell = 7.85 ×  10⁻¹¹ cubic centimeter (cm³)

Then,

Mass = 1 g/cm³ ×  7.85 ×  10⁻¹¹ cm³

Mass = 7.85 ×  10⁻¹¹ g

Hence, the mass in grams of a red blood cell is about 7.85 ×  10⁻¹¹ grams

if a train has 1,450 kg of momentum and is traveling at 40 m/s ¿what is the mass of tren?
Help plis I have this wrong

if a train has 1,450 kg of momentum and is traveling at 40 m/s what is the mass of tren?Help plis I have

Answers

Answer:

P=mv

1x450,200=m40

m= 36,255kg

external criticism and internal criticism​

Answers

External criticism:External criticism, which is also known as lower criticism, is a tool used by historians and exegetes to determine the validity of a document, particularly a document with some sort of historical significance.

Internal Criticism:

Internal criticism is applied to check the credibility of the document whether the contents given in it are believable or not.

#CarryOnLearning

#StudyHard

External criticism is a process by which historians determine whether a source is authentic by checking the validity of the source. Internal criticism looks at the reliability of an authenticated source after it has been subjected to external criticism.

A sled of mass 20 kg is being pulled along a level horizontal surface my man exerting a force of 110 n at an angle of 36.9 above the horizontal. Due to friction between the sled and the ground the sled moves at constabt velocity. A) what is the force of friction acting on the sled? B) what is the normal force between the sled and the ground?

Answers

Given data:

* The mass of the sled is 20 kg.

* The force exerted by the man on the sled is 110 N.

* The force on the sled is at the angle of 36.9 degree above the horizontal.

Solution:

The representation of the given system is as,

in the process of identifying the alcohol contained in the wine, why does color changed into light blue from brown, to dark green, to light green and finally to light blue?​

Answers

Answer:

The color of the Anthocyanins changes depending on the PH of what they come into contact with, because wine already has acid in its Anthocyanins are red. But as soon as you expose those Anthocyanins to more alkaline factors, it will start to turn blue.

7. State condition of equilibrium when a borly is acted upon by a number of parallel forces. A uniform metal tube of length 5cm and mass 9 kg is suspended horizontally by two vertical wire attaches at 50cm and 150cm respectively from the ends of the tuber Find the tension in each wire. in tril Solution -​

Answers

According to the question the tension in each wire is 1.96 N.

What is tension?

Tension is a term that describes the psychological and physical state of a person or system in which there is a high degree of stress, uncertainty, and anxiety. It is often associated with conflict and is often experienced when individuals or groups feel threatened or constrained in some way. Tension can be experienced in a variety of different contexts, from interpersonal relationships to the workplace. It can result from a variety of different factors, including a lack of communication, conflicting goals or expectations, and unmet needs.

The body is in equilibrium when the sum of all forces acting on it is equal to zero. In this case, the forces acting on the metal tube are the two wires and the weight of the tube due to gravity.

The tension in each wire is equal to the weight of the tube divided by the length of the tube. This is because the tube is suspended horizontally, so the forces in each wire must be equal in order to keep the tube in equilibrium.

Therefore, the tension in each wire is:

T = (9 kg × 9.8 m/s2) / (5 cm × 0.01 m)

= 1.96 N

Therefore, the tension in each wire is 1.96 N.

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A pinhole camera has a small circular aperture of diameter D. Light from distant objects passes through the aperture into an otherwise dark box, falling on a screen at the other end of the box. The aperture in a pinhole camera has diameter D=0.600mm. Two point sources of light of wavelength 550nm are at a distance L from the hole. The separation between the sources is 2.80cm, and they are just resolved by the camera. What is L?

Answers

The wavelength from second source when light from distant objects passes through the aperture into an otherwise dark box is 25m

Given the pinhole camera has a small circular aperture of diameter D = 0.600mm

First source of light of wavelength (λ1) =550nm

Second source of light of wavelength (λ2) = L

The separation between the sources (k) =  2.80cm

Using Rayleigh's criterion, θmin​ = 1.22λ1/D ​= k/​λ2

θmin = 1.22x550x10-9/0.6x10-3 = 2.80x10-2/L

L = 25m

Hence the wavelength from second source = 25m

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A 68 kg
man's arm, including the hand, can be modeled as a 79-cm
-long uniform cylinder with a mass of 3.3 kg. In raising both his arms, from hanging down to straight up, by how much does he raise his center of gravity?

Answers

Answer:

Explanation:

We can calculate the change in the man's center of gravity by considering the initial and final positions of the center of gravity of his arms.

Assuming the man's arms are initially hanging down by his sides, the center of gravity of his arms is located at the midpoint of the cylinder, which is at a distance of L/2 = 79/2 = 39.5 cm from the shoulder joint.

When the man raises his arms straight up, the center of gravity of his arms is located at the top of the cylinder, which is at a distance of L = 79 cm from the shoulder joint.

The change in the man's center of gravity is therefore:

Δh = h_final - h_initial

= L - L/2

= 79 cm - 39.5 cm

= 39.5 cm

Therefore, the man raises his center of gravity by 39.5 cm when he raises both his arms from hanging down to straight up.

Calculate the speed (in m/s) a spherical raindrop would achieve falling from 3.90 km in the absence of air drag and with air drag. Take the size across of the drop to be 9 mm, the density to be 1.00 ✕ 103 kg/m^3, and the surface area to be pi times r^2. (Assume the density of air is 1.21 kg/m^3.)

Answers

The speed of the raindrop without air drag would be 240 m/s.

The speed of the raindrop with air drag would be approximately 7.96 m/s at terminal velocity.

What is the density?

Density is the ratio of mass and volume.

Without air drag:

The mass of the raindrop can be calculated from its density and volume:

mass = density x volume = (4/3) x π x (4.5 x 10⁻³ m)³ x 1000 kg/m³ = 0.000381 kg

The potential energy of the raindrop at height h = 3.90 km is:

Potential energy = mgh = 0.000381 kg x 9.81 m/s² x 3900 m = 14.8 J

The equation for kinetic energy to calculate the speed of the raindrop just before it hits the ground:

Kinetic energy = (1/2)mv²

where v is the speed of the raindrop.

Solving for v, we get:

v = √(2 x Kinetic energy / m) = √(2 x 14.8 J / 0.000381 kg) = 240 m/s

Therefore, the speed of the raindrop without air drag would be 240 m/s.

With air drag:

At terminal velocity, the net force on the raindrop is zero, so we can equate the gravitational force to the drag force:

mg = (1/2) x density of air x v² x A x drag coefficient

where A is the cross-sectional area of the raindrop and v is the terminal velocity.

Solving for v, we get:

v = √(2mg / (density of air x A x drag coefficient)) = √(2 x 0.000381 kg x 9.81 m/s² / (1.21 kg/m³ x pi x (4.5 x 10⁻³ m)² x 0.47)) = 7.96 m/s

Therefore, the speed of the raindrop with air drag would be approximately 7.96 m/s at terminal velocity.

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A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?

Answers

Answer:25N/

Explanation:

A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?

With the LED illuminated, flip the direction of the LED on the breadboard (notch on top now), and then flip it back to its original position (notch on bottom). What does your observation tell you about diodes (and LEDs)?

Answers

Explanation:

The full form of LED is Light Emitting Diode. It is a semi conductor source of light which when electrons passes or flows through them, it emits light. In the semi conductor, the electrons recombine with the electron holes to release high amount of energy. This energy is called photon.

When the LED direction is flipped in the breadboard and back to the original position, the LEDs are forced to be grounded. They will not be able to function without being grounded.

An object with a mass of m = 3.85 kg is suspended at rest between the ceiling and the floor by two thin vertical ropes.
The magnitude of the tension in the lower rope is 12.8 N. Calculate the magnitude of the tension in the upper rope.

An object with a mass of m = 3.85 kg is suspended at rest between the ceiling and the floor by two thin

Answers

The tension in the upper rope is 50.53 N.

Tension in the upper rope

The tension in the upper rope is calculated as follows;

T(up) = T(dn) + mg

where;

T(dn) is the tension in the lower ropemg is the weight of the object

T(up) = 12.8 N + (3.85 x 9.8) N

T(up) = 50.53 N

Thus, the tension in the upper rope is 50.53 N.

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The table below gives the numbers of protons, electrons, and neutrons in four atoms.
Atom
Number of protons
Number of neutrons
Number of electrons
1
19
19
18
12.
19
19
3
19
18
10
9
19
19
14
10
Based on the table, which atom has a charge of -1?
1
3
04
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

C

Explanation:

A neutral atom has same number of protons and electrons. If number of protons is greater in an atom than electrons, then it will have positive charge. If number of protons is less than number of electrons, then atom will gain negative charge.

So, for 3rd atom, the number of protons is less than number of electrons and it will gain -1 charge.

An apple is dropped from the top of a 200 m tall building. Its acceleration plotted against height fallen is shown in the following graph.

At what height (to one significant figure) above the ground is terminal velocity reached? Give your answer with an appropriate unit.

An apple is dropped from the top of a 200 m tall building. Its acceleration plotted against height fallen

Answers

Answer:

Explanation:

From the graph, acceleration is zero if a distance of 130 m is overcome. The maximum speed at a height from the ground equal to 200 m - 130 m = 70 m. Further, the apple falls evenly!

According to the graph, if a distance of 130 m is overcome, acceleration is zero. The maximum speed at a height of 200 m - 130 m = 70 m from the ground. In addition, the apple falls evenly.

Terminal velocity is the constant maximum velocity reached by an object falling through a fluid (such as air) when the force of gravity pulling the object downward is balanced by the opposing force of air resistance. Initially, as an object falls, its velocity increases due to the acceleration from gravity. However, as the object accelerates, the air resistance acting upon it also increases. Eventually, a point is reached where the air resistance becomes equal to the force of gravity, resulting in zero net force and a constant velocity. This constant velocity is the terminal velocity.

The graph of acceleration plotted against the height fallen provides information about the changing acceleration of the falling apple as it travels down the building. To determine the height at which terminal velocity is reached, you would need to look for the point on the graph where the acceleration levels off or approaches zero. This indicates that the net force acting on the apple is becoming negligible, implying that terminal velocity has been reached.

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What is the wavelength of water waves which have a frequency of 0.60 Hz and a speed of 4.0 m/s?

Answers

Answer:

1.9 m/s

Explanation:

what’s the answer for this

whats the answer for this

Answers

Answer:4 m/s

Explanation:

The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat of Aluminum is double the specific heat of iron. If the temperature of the Aluminum's mass changes by /\T, what is the change in the Iron's mass temperature?

The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat

Answers

Answer:

it is double the temperature change of iron

Báo cáo thực hành
Bài 1: Sóng trên dây: https://phet.colorado.edu/vi/simulation/wave-on-a-string
Bài 2: Cầu cân bằng: https://phet.colorado.edu/sims/html/circuit-construction-kit-dc-virtual-lab/latest/circuit-construction-kit-dc-virtual-lab_vi.html

Answers

Answer:

which language is this

Explanation:

You use an adapted bicycle like the one in the picture to generate electrical energy. How would your pedaling rate affect the energy you
harvest?
(1 point)
O The voltage does not change with pedaling.
O The voltage changes regardless of pedaling.
O The voltage is higher the faster you pedal.
O The voltage is higher the slower you pedal.

Answers

The voltage is higher the faster you pedal. Generating electricity from an adapted bicycle requires a dynamo, which is a device that uses a spinning shaft to produce a rotating magnetic field.

What is electricity?

Electricity is a form of energy that is generated by the movement of charged particles, such as electrons. It is a form of energy that is used to power electrical appliances, and is also transmitted through electrical cables, wires and other conduits. Electricity is generated by a variety of sources, including fossil fuels, hydroelectricity, solar power and nuclear energy. It is also used to provide lighting, to heat and cool buildings, to power vehicles and to provide power for communications networks. Electricity is also used to power a wide range of industrial processes, including manufacturing, power generation and transportation. Electricity is a vital part of modern life and is essential for the functioning of modern infrastructure and technology.

The faster the shaft spins, the stronger the magnetic field and the higher the voltage generated. This means that pedaling faster will produce more electrical energy.

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Draw any three vectors A, B, and C, and use graphical vector addition to calculate A+B+C.

Answers

Answer:

See picture below

Explanation:we join the three vectors as shown in the picture

Draw any three vectors A, B, and C, and use graphical vector addition to calculate A+B+C.

100 POINTS AND BRAINLIEST!!! How does the egg sucked into a glass bottle trick work?

Answers

Answer: The egg will get sucked into the bottle. To get the egg out of the bottle, turn the bottle upside down and blow into it, so that the egg acts as a one-way valve. The increased air pressure in the bottle will cause the egg to pop back out.

Explanation:

Quickly place the egg over the mouth of the bottle. The egg will get sucked into the bottle. To get the egg out of the bottle, turn the bottle upside down and blow into it, so that the egg acts as a one-way valve. The increased air pressure in the bottle will cause the egg to pop back out.

We can easily tell that a bowling ball rolling down an ally has energy of motion. But why would a scientist say that a white-hot piece of iron also has the energy of motion within it?

Answers

A white-hot iron piece has internal motion energy due to constant particle movement at the atomic and molecular levels, as per scientists. Thermal energy or heat energy is motion. Higher temperature means more kinetic energy and faster motion of atoms and molecules.

What is the  energy of motion?

White-hot iron vibrates atoms and molecules at high temperatures. Kinetic theory states that all matter is made up of moving particles. Motion occurs at the microscopic level, beyond eye view. Higher temperature = greater particle energy.

When a scientist refers to white-hot iron, they recognize its high temperature corresponds to increased kinetic energy and motion. Motion and energy at the atomic level are not visible like a bowling ball, but are fundamental traits of matter.

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Explain one way the water cycle effects climate change. use complete sentences.

Answers

Answer: condenses into rain/snow, water heats and cools more slowly than land, higher temperatures, increase risk of drought, increased rainstorms

Explanation: You can put all of these examples I listed into paragraph form :) have a good day/night

A sail boat is crossing a river of width 43.3 meters, sailing at 17.9 m/s vertically across the river. If a cross wind of 6.0 m/s directed 19.6 degrees off of vertical pushes the sailboat, then how far downstream (horizontally) will the boat be when it reaches the other side of the river? (please provide your answer to 1 decimal place)

A sail boat is crossing a river of width 43.3 meters, sailing at 17.9 m/s vertically across the river. If a cross wind of 6.0 m/s directed 19.6 degrees off of vertical pushes the sailboat, then how far downstream (horizontally) will the boat be when it reaches the other side of the river? (please provide your answer to 1 decimal place)

Answers

We can use trigonometry to solve this problem.

First, we need to find the horizontal component of the boat's velocity. This is given by:

horizontal velocity = sailboat speed x cos(wind angle)

horizontal velocity = 17.9 m/s x cos(19.6°)

horizontal velocity = 16.9 m/s

Next, we need to find how long it takes for the boat to cross the river. This is given by:

time to cross = distance / vertical velocity

time to cross = 43.3 m / 17.9 m/s

time to cross = 2.42 s

Finally, we can find how far downstream the boat will be at the end of this time. This is given by:

downstream distance = time to cross x horizontal velocity

downstream distance = 2.42 s x 16.9 m/s

downstream distance = 40.9 m

Therefore, the sailboat will be approximately 40.9 meters downstream when it reaches the other side of the river.

A curve on a highway has a radius of curvature of 200.0 m. What is the magnitude of a car’s centripetal acceleration as it travels along this curve at a constant speed of 26.8 m/s in 4.00 s?

Answers

Answer:

173.2

Explanation:

The centripetal acceleration of the car moving in a radius of curvature of 200 m with a velocity of 26.8 m/s is 3.591 \(m/s^2\).

What is centripetal acceleration?

The centripetal acceleration is the rate at which a body moves through a circle. Considering that velocity is a vector quantity (that is, it has both a magnitude, speed, and direction). When a body moves in a circle, its direction is constantly changing, which causes a change in velocity and acceleration.

The circle's center is where the acceleration is pointed radially. The square of the body's speed along the curve divided by the distance r from the circle's center to the moving body determines the centripetal acceleration, which has a magnitude equal to ac.

Given information:

The velocity of the car, \(v=26.8 \ m/s\),

The radius of the curvature, \(r=200\ m\).

Calculate the acceleration by the formula given below,

\(\alpha =v^2/r\)

\(\alpha\) is the acceleration,

Substitute the values,

\(\alpha =(26.8)^2/200\)

\(\alpha = 3.591\ m/s^2\)

Therefore, the centripetal acceleration of the car moving in curvature is 3.591 \(m/s^2\)

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if the area of the rectangle is 39 squared inches
find the value of x

Answers

Answer:

x = 5 inches

Explanation:

Given that,

The area of a rectangle = 39 inch²

The sides of the rectangle are (x-2) and (x+8).

The area of a rectangle is given by :

A = lb

So,

\(39=(x-2)(x+8)\\\\x^2+8x-2x-16=39\\\\x^2+8x-2x=55\\\\x=5\ in\ and\ x=-11\ in\)

So, the value of x is equal to 5 inches.

In an RL series circuit, an inductor of 4.74 H and a resistor of 9.33 Ω are connected to a 26.4 V battery. The switch of the circuit is initially open. Next close the switch and wait for a long time. Eventually the current reaches its equilibrium value. At this time, what is the corresponding energy stored in the inductor? Answer in units of J.

Answers

Answer:

The energy is   \(U =  18.98 \  J \)

Explanation:

From the question we are told that

   The inductor is  \(L  =  4.74 \ H\)

    The resistance of the resistor is \(R =  9.33 \  \Omega\)

    The voltage of the battery is \(V =  26.4 \  V\)

Generally the current flowing in the circuit is mathematically represented as

      \(I =  \frac{V}{R}\)

=>   \(I =  \frac{26.4}{9.33 }\)

=>   \(I =  2.83 \ A\)

Generally the corresponding energy stored in the circuit is  

       \(U =  \frac{1}{2} * L  *  I^2\)

        \(U =  \frac{1}{2} *  4.74  *  2.83 ^2\)

       \(U =  18.98 \  J \)

Object A is 8 kg and at rest and Object B is 16 kg and moving at 10 m/s to the Right. If Object B hits Object A and Object B is at rest after the collision, what is the velocity of Object A after the collision? Why?

Answers

Answer:

Initially...

Object A is at rest(v=0)

With Mass =8kg

Object B moving at 10ms- and Mass of 16kg.

Now After collision(Elastic)... B Came to rest...Meaning its final vel =0

But its mass remains the same

What velocity would A be moving with?

From Conversation of Momentum

M'U' + M"U"= M'V' + M"V"

8(0) + (16)(10) = 8V' + 16(0)

0 + 160 = 8V' + 0

8V'= 160

V'= 160/8

V'=20ms-¹.

A would be Moving at 20ms-¹ after collision.

What is the net force on a 1200-kg car that is accelerating at 8.5 m/s2?

Answers

Answer:

10,200 N

Explanation:

Given:

Mass of the car m = 1200 kg

Acceleration of the car a = 8.5 m/s^2

Force F=?

\(\because F = ma\\

\therefore F = 1200 \times 8.5\\

\therefore F = 10,200 N \\ \)

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