In a pulley system, two blocks are connected by a rope as shown below. The coefficient of static friction between block A and the surface is 0.8. Block A has a mass of 20kg. What is the minimum mass that block B can have so that block A moves?

Answers

Answer 1

Hi there!

We can begin by doing a summation of forces for each block.

Block A:

This block has the force of tension (in direction of acceleration +) and static friction (opposite direction -) acting on it. Thus:

[tex]\Sigma F_A = T - F_s\\\\m_Aa = T - \mu m_Ag[/tex]

Block B:

This block has the force of tension (opposite of acc. -) and gravity (in direction of acc +), working on it.

[tex]\Sigma F_B = m_Bg - T\\\\ m_Ba = m_Bg - T[/tex]

Add both of the expressions and solve for the maximum mass of Block B.

[tex]\Sigma F = m_Bg - T + T - \mu m_Ag\\\\a(m_A + m_B) = m_Bg - \mu m_Ag[/tex]

To find the minimum value, we can set a = 0, so:

[tex]0 = m_Bg - \mu m_Ag\\\\\mu m_Ag = m_B g\\\\0.8(20)(9.8) = m_B (9.8)\\\\m_B = \frac{0.8(20)(9.8)}{9.8)} = \boxed{16 kg}[/tex]

The block must weigh > 16 kg for block A to move.


Related Questions

The circuit shown is constructed using nine identical batteries and nine identical resistors. The lower left corner of the circuit is grounded. Determine whether the current through each resistor is zero or nonzero.​

Answers

The current through each resistor in the circuit connection is non-zero.

What is grounding in a circuit?

Grounding in a circuit connection implies a point of zero volt. It is achieved in an electrical system when a part of current flow in the circuit is intentionally directed or connected to the earth.

As long as there is potential difference in a circuit, current will flow in the resistor. Grounding a circuit creates a potential difference between two points (low potential and high potential) in the circuit and consequently, current will flow across the resistors.

Thus, the current through each resistor is non-zero.

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what is harmony? What is the meaning of it?

Answers

Answer:

Brainliest pls

Explanation:

the playing of musical tones together in chords. 2: a pleasing arrangement of parts a harmony of colors. 3: agreement sense 1, accord The committee worked in harmony.

agreement; accord; harmonious relations. a consistent, orderly, or pleasing arrangement of parts; congruity. Music. any simultaneous combination of tones. the simultaneous combination of tones, especially when blended into chords pleasing to the ear; chordal structure, as distinguished from melody and rhythm.

What is harmony? What is the meaning of it.

Balance is a synonymIts a noun the combination of simultaneous musical notes in a chord She taught him how to sing harmony.  

Substitute equation (2) into (1) to give a new equation for p that involves only I and R

Re arrange (2) to make I the subject, and substitute your result into equation (1) to give a new equation containing only V and R

Answers

Answer:

[tex]p = {i}^{2} r[/tex]

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

P= VI

V= IR

Substitute eqn 1 into eqn 2

P= (IR) I

[tex]p = {i}^{2} r[/tex]

[tex] \frac{p}{r} = \frac{ {i}^{2}r }{r} [/tex]

[tex] {i}^{2} = \frac{p}{r} [/tex]

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

Please Help!!!

Imagine two astronauts working in outer space. Suppose they have equal masses and accidentally run into each other. The first astronaut moves 4.0 m/s to the right before the collision and 1.5 m/s to the left afterwards. If the second astronaut moves 4.0 m/s to the right after the perfectly elastic collision, what was the second astronaut's initial velocity? Hint m1 and m2 are equal, so you do not need them to solve for vzi 1. List your Givens. 2. Show your Work. 3. Give your answer​​

Answers

Take "to the right" to be the positive direction. By conservation of momentum,

m₁v₁ + m₂v₂ = m₁(v')₁ + m₂(v')₂

where the v-s denote initial velocities and the v'-s denote final velocities. m₁ and m₂ are of course masses, but we're told that m₁ = m₂, so we can eliminate these factors altogether:

v₁ + v₂ = (v')₁ + (v')₂

We're given that v₁ = +4.0 m/s, (v₁)' = -1.5 m/s, and (v')₂ = +4.0 m/s.

Solve for v₂ :

v₁ + v₂ = (v')₁ + (v')₂

4.0 m/s + v₂ = -1.5 m/s + 4.0 m/s

⇒   v₂ = -1.5 m/s

what is photosynthesis, food chain, evaporation and passive smokers?​

Answers

Answer:

Photosynthesis: the process where plants convert light energy into sugar, for food

Food chain: a series of organisms showing which organisms eat each other

Explanation:

If the same amount of heat is added to 50.0g samples of each of the metals above, which metal will experience the largest temperature change?

Answers

Au, since it takes the least amount of energy per gram to change

A speed skater just finished a race. After she crossed the finish line, she coasted to a complete stop. If her initial speed was 13.0 m/s and her acceleration was -2.9 m/s2, how long did it take her to stop?

Answers

Answer:

5seconds

Explanation:

because she was going through the same time

Match the following activities.

1.foot-pound
2.work
3.steam
4.newton meter
5.muscular force
6.force of gravity
7.force of wind






1.amount of force times the distance it moves an object

2. kind of force used to operate engines

3.English unit of measuring work equal to moving one pound one foot

4.metric measurement of work equal to moving one newton
one meter

5. kind of force that pulls things toward the center of the earth

6. force used when walking

7. force used to turn a windmill

Answers

Answer:

amount of force times the distance it moves an object: work


kind of force used to operate engines: steam


English unit of measuring work equal to moving one pound one foot: foot-pound


metric measurement of work equal to moving one Newton one meter: Newton-meter


kind of force that pulls things toward the center of the earth: force of gravity


force used when walking: muscular force


force used to turn a windmill: force of wind

Explanation:

I found the answers in quizlet

Answer:

im in the same class so here's your answer

Explanation:

An acrobat on skis starts from rest 50.0 m above the
ground on a frictionless track and flies off the track
at a 45.0° angle above the horizontal and at a height
of 10.0 m. Disregard air resistance.
a. What is the skier's speed when leaving the
track?
b. What is the maximum height attained?

Answers

The initial speed of the skier is 14 m/s.

The maximum height attained by the skier is 15 m.

Initial speed of the skier

The initial speed of the skier is determined by using the following kinematic equation.

[tex]K.E = mgh\\\\\frac{1}{2} mv^2 = mgh\\\\\frac{1}{2} v^2 = gh\\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2\times 9.8 \times 10} \\\\v = 14 \ m/s[/tex]

Maximum height attained

The maximum height attained by the skier is calculated as follows;

[tex]H = \frac{v^2 sin^2\theta}{2g} \\\\H = \frac{14^2 \times (sin45)^2}{2 \times 9.8} \\\\H = 5 \ m[/tex]

Thus, the maximum height attained by the skier is (10 + 5) = 15 m.

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People tint windows dark to encourage __________.

Multiple choice question.

A)
transmission


B)
absorption


C)
reflection


D)
transfusion

Answers

Answer:

B

absorption

black colour absorbs colour

Answer:

I think it's absorption

Hope this helps ;)

Controlling the amount of current in a circuit by opposing the flow of charge
is a function of which circuit component?
A. Battery
B. Transistor
C. Resistor
D. Capacitor

Answers

Answer:

Resistor provides resistance to the flow of electric current in a circuit. It controls the amount of current in a circuit by acting as a barrier to the flow of electric charges

Explanation:

The first formant of your vocal system can be modeled as the resonance of an open-closed tube, the closed end being your vocal cords and the open end your lips. Estimate the frequency of the first formant from the graph in (Figure 1).

Answers

Answer:

290 Hz

Explanation:

Resonance, in terms of physics and biology, describes the pitch and the vocals. The frequency of the first formant is 0.30 m.

What is vocal resonation?

Resonance has been the production of the phonation or the vocal that gets increased in intensity and timbre by the cavities that are filled out by the air as present in the vocal system with an open-closed tube.

From the graph, the frequency of the individual line is, calculated by dividing 1000 Hz with 7 sections shown in the graph as,

f = 1000 ÷ 7

= 142.85 Hz

Further, the frequency of the first formant is calculated as:

f' = 2f

= 2(142.85 Hz)

= 285.71 Hz

= 290 Hz

Now for the open-closed tube, the fundamental frequency is,

f = ν ÷ 4L

L = ν ÷ 4f

= 343 ÷ 4( 290 Hz)

= 0.30 m

Therefore, 0.30 m is the frequency of the first formant.

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A ball which is thrown vertically upwards at 1.2 m s-
decelerates uniformly at 10 m s-2. How long will it take
to reach zero velocity?
A 0.12 s
B 2.4 s
C 6.0 s
D 12.0 S

Answers

time = velocity/acceleration = 1.2/10 = 0.12 s

An elephant has a mass of 5000 kg. What is the elephant's weight?

Answers

The elephant weighs 11023.113 pounds

Calculate the weight of an object with a mass of 50 kg on a planet with an acceleration due to gravity of 2.0 m/s2.
a. .04 N
b. 25 N
c. 100 N

Answers

it is the option c.

Answer:

C

Explanation:

Basically force is given by the formula.

F= ma

Where m is mass of the body and 'a' is acceleration.

Here the time is not given, hence it is not possible to calculate acceleration, as acceleration is given by the formula

a= v/t

So most probably the question is wrong.

However if we take acceleration= 2m/s^2

Then F= ma= 50*2= 100N

However if the question was to find energy then it is sufficient to find kinetic energy as moving objects possess kinetic energy.kinetic energy is given by the formula:

KE= 1/2*m* v^2

I.e, KE= 1/2 * 50 * 2* 2

• A plastic bag filled with air has a volume of
0.008 m3. When air in the bag A plastic bag filled with air has a volume of 0.008 m^3. When air in the bag is squeezed into a
rigid container, the mass of the container (with air)
increases from 0.02 kg to 0.03 kg. Use the formula
density
volume
to calculate the density of the air in the bag.

Answers

Answer:

The change in the mass of box = 0.01 kg

Volume of air in the polythene bag = Volume of air in the rigid box

Therefore, Volume of air in the box = 0.008 m^3

Now, Density = Mass/ Volume

=> Density = 0.01 / 0.008 = 1.25 Kg / m^3

Explanation:

I looked it up

As you look at the side of the wheel, you can see it spinning clockwise. What are the directions of the angular velocity, and angular momentum?

If the torque is applied to the rim, causing the wheel to slow down, what are the directions of the torque and the angular acceleration?

Answers

Answer:

The direction of angular velocity and angular momentum are perpendicular to the plane of rotation. Using the right hand rule, the direction of both angular velocity and angular momentum is defined as the direction in which the thumb of your right hand points when you curl your fingers in the direction of rotation.

Explanation:

What/Where is the area of the mantle is reaching the Earths surface?

Answers

Explanation: The mantle is divided into several layers: the upper mantle, the transition zone, the lower mantle, and D” (D double-prime), the strange region where the mantle meets the outer core. The upper mantle extends from the crust to a depth of about 410 kilometers (255 miles).

Can an eagle reach exosphere through flying?

Answers

Answer: no
Because of lack of air

Calculate the pressure when a force of 200 N presses on an area of 0.40 m

Answers

Answer:

500 Pascals or 500N/m²

Explanation:

Pressure = Force/Area

P= 200/0.4 = 500

✫ what is conservative force ?

✫ state the work - energy theorem.

thankyou ~​

Answers

(a) A conservative force is a type of force where the total work done in moving a particle between two points is independent of the path taken by the particle.

(b) Work-energy theorem sates that the work done on an object is equal to the change in the kinetic energy of the object.

What is conservative force?

A conservative force is a type of force where the total work done in moving a particle between two points is independent of the path taken by the particle.

The net work-done is zero, and can be mathematically expressed as follows;

ΔW = 0

What is work energy theorem?

This theorem relates the change in kinetic energy to work done on object.  The work-energy theorem sates that, the work done on an object is equal to the change in the kinetic energy of the object.

It can be mathematically expressed as follows;

W = ΔK.E

Where;

W is work doneΔK.E is change in kinetic energy

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What is the source of power in
this circuit?
A. A
B. B
С. С

Answers

Answer:

C, C is batteries, B is switch, A is bulb

A 2.5 Kg watermelon is dropped off an 8-meter balcony. What will the watermelon’s velocity be right before it hits the ground?

Answers

The watermelon’s velocity right before it hits the ground is 12.52 m/s.

Conservation of mechanical energy

The principle of conservation of mechanical energy states that the total energy of an isolated system is always conserved.

P.E = K.E

mgh = ¹/₂mv²

gh = ¹/₂v²

v = √2gh

where;

v is the velocity of the object before it hits the ground.h is the height

The watermelon’s velocity right before it hits the ground is calculated as follows;

v = √(2 x 9.8 x 8)

v = 12.52 m/s

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What can be said in general about warm colours

Answers

Answer:

Warm colours are those with a yellow-ish or black undertone. Imagine how everything looks through your tinted sunglasses or on a beautiful day in autumn when the leaves are falling. The hints of yellow give these colours a sunny warmth, while those with more black mixed in appear darker and can seem more muted.

What is the radius of a force?

Answers

Answer:

this kind of force is proportional directly to the speed of the object and inversely to the radius of the curved path. Therefore, Hence, the force becomes 2.25 times the original force.

Explanation:

Two positive point charges are 4.9cm apart. If the electric potential energy is 70.0 μJ, what is the magnitude of the force between the two charges?

Answers

Hi there!

Recall the following:

[tex]V \text{ (Electric Potential Energy) } = \frac{kq_1q_2}{r}\\\\F_E = \frac{kq_1q_2}{r^2}[/tex]

k = Coulomb's Constant (Jm/C²)

q = Charge (C)
r = distance between charges (m)

To calculate the electric force between the two charges, we can simply divide by another 'r' (distance):

[tex]F_E = \frac{70}{0.049} = \boxed{1428.57 \mu J}[/tex]

Translate the word phrase into an algebraic equation: the quotient of 22 and 2 is equal to 11.

Answers

Answer:

22/2 = 11

Explanation:

A quotient means the result of a division problem. When it says the quotient of a and b, this means of "a divided by b". Remember to always go in the right order, because in division, order matters.

Therefore the quotient of 22 and 2 is equal to 11 is written: 22/2 = 11

A 7000-kg plane is launched from an aircraft carrier in 2.0 seconds
by a force of 550,000 N.

What is the plane's acceleration?

What was its final velocity?

Answers

The acceleration and velocity of the plane is 78.57 m/s² and 157.14 m/s respectively

To calculate the acceleration of the plane, we use the formula below.

Formula:a = F/m..................... Equation 1

Where:

a = Acceleration of the planeF = Force applied to the planem = mass of the plane.

From the question,

Given:

F = 550000 Nm = 7000 kg

Substitute these values into equation 1

a = 550000/7000a = 78.57 m/s²

To calculate the velocity, we use the formula below.

v = u+at............. Equation 2

Where:

v = Final velocityu = initial velocitya = accelerationt = time.

From the question,

Given:

u = 0 m/sa = 78.57 m/st = 2.0 seconds

Substitute these values into equation 2

v = 0+2(78.57)v = 157.14 m/s

Hence, The acceleration and velocity of the plane is 78.57 m/s² and 157.14 m/s respectively.
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Define stress and strain. Establish the relation among energy, density stress and strain.

Answers

Answer:

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

Strain energy density functions (W) establish the relation between the amount of energy employed to deform a volume unit of a solid and imposed strain.

Explanation:

Stress, strain and strain-energy density is discussed below.

What is elasticity?

In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed

Given is to define stress and strain and establish the relation among energy, density stress and strain.

Stress is defined as “The restoring force per unit area of the material”.Strain is the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body.The strain-energy density of a material is defined as the strain energy per unit volume. It is equal to the area under the stress-strain diagram of a material, measured from εx = 0 to εx = ε1 as described below. We can write -

        [tex]$u = U/V =\int\limits^\epsilon_0 \, \sigma_{x} d\epsilon_{x}[/tex]

Therefore, stress, strain and strain-energy density is discussed above.

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explain the washing effects of detergents of soap and why detergents in warm water washes greasy clothes even better​

Answers

Answer:

Soaps and detergents are made from long molecules that contain a head and tail the detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.

Answer:

Soaps and detergents are made from long molecules that contain a head and tail. ... The detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.

Explanation:

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