Each box weighs 10lb. The coefficient of static friction between box A and box B is 0.24, and the coefficient of static friction between box B and the inclined surface is 0.3. What is the largest angle for which box B will not slip​

Answers

Answer 1

The largest angle for which box B will not slip​ is 16.7⁰.

The given parameters:

weight of box, W = 10 lbcoefficient of static friction between box A and box B, [tex]\mu_s_1[/tex] = 0.24coefficient of static friction between box B and the inclined surface, [tex]\mu_s_2[/tex] = 0.3

The frictional force between box A and box B is calculated as;

[tex]F_f_1= \mu_s_1 (mg)[/tex]

The frictional force between box B and inclined surface is calculated as;

[tex]F_f = \mu_s_2 (2mg) cos(\theta)[/tex]

The net force on the boxes that results in no movement is calculated as;

[tex](2mg) sin(\theta) - F_f= 0\\\\(2mg) sin(\theta) = F_f\\\\(2mg) sin(\theta) = \ \mu_s_2 (2mg) cos(\theta)\\\\ sin(\theta) = \mu_s_2 cos(\theta)\\\\\mu_s_2 = \frac{sin(\theta)}{cos(\theta)} \\\\\mu_s_2 = tan(\theta)\\\\\theta = tan^{-1} (\mu_s_2)\\\\\theta = tan^{-1} (0.3)\\\\\theta = 16.7 \ ^ 0[/tex]

Thus, the largest angle for which box B will not slip​ is 16.7⁰.

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Related Questions

A 0.04 kg honeybee circles a field looking for a flower upon which to land. The radius of the circle she travels is 2.5 m and it takes her 1.57 s to complete the circle.

Find the following:
a) Tangential Velocity
b) Centripetal Acceleration
c) Centripetal Force.​

Answers

For the honeybee that circles a field looking for a flower upon which to land, we have:

a) The tangential velocity is 10.01 m/s.

b) The centripetal acceleration is 40.1 m/s².

c) The centripetal force is 1.60 N.

a) The tangential velocity can be calculated as follows:

[tex] v = \omega r = \frac{2\pi r}{T} [/tex]  (1)

Where:

r: is the radius of the circle = 2.5 m

ω: is the angular velocity = 2π/T

T: is the period = 1.57 s

By entering the above values into equation (1), we have:

[tex] v = \frac{2\pi r}{T} = \frac{2\pi 2.5 m}{1.57 s} = 10.01 m/s [/tex]  

Hence, the tangential velocity is 10.01 m/s.

b) The centripetal acceleration is related to the tangential velocity as follows:

[tex] a_{c} = \frac{v^{2}}{r} = \frac{(10.01 m/s)^{2}}{2.5 m} = 40.1 m/s^{2} [/tex]

Therefore, the centripetal acceleration is 40.1 m/s².

c) The centripetal force is given by:

[tex] F = ma_{c} [/tex]

Where:

m: is the honeybee's mass = 0.04 kg

[tex] F = ma_{c} = 0.04 kg*40.1 m/s^{2} = 1.60 N [/tex]

Hence, the centripetal force is 1.60 N.

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Saima travels 2.5 km in 21.2 seconds. What as Saima's initial speed if her final velocity is 10.7 m/s?

Answers

Answer:

d/t = (230 km)/(3.25 h) = 70.8 km/h.

Explanation:

Can someone help me with the entire magnetism gizmo. I can’t get on gizmo, but it has to be done

Answers

Answer:

sure how can i help my g gggg

What’s the mass of the continent?

Answers

Answer:

Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rock

iam help for youthankscommentflowing

Evidence of liquid water in mars' distant past suggests that it had a substantial atmosphere compared to what it has presently. What happened to its water vapor?.

Answers

Answer:

The atmosphere has frozen out into the polar ice caps and permafrost as Mars has cooled.

Explanation: Good luck box BrokenTag27

As an aeroplane decelerates, its kinetic energy decreases. Suggest what happens to this energy​

Answers

they are converted into thermal and sound energy as well as the kinetic energy in the air

. Quỹ đạo chuyển động của một vật là

Answers

Answer:

you are very kind Po lang

How to find average velocity on a graph.

Answers

Answer:

Answer is below….

Explanation:

The velocity is represented by the slope of a position-time graph. The faster the motion changes, the steeper the slope. The change in position divided by the corresponding change in time may be used to compute average velocity from a position-time graph.

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What is equilibrium?​

Answers

Answer:

Balance is the ability to maintain body balance when placed in various positions.

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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Hope it is Useful..

Answer:

A state of physical balance.

I hope this helps you!!!

describe an experiment that can be used to determine the resistance of a metallic conductor

Answers

Answer:

resistance of the metal conductor at different temperature

Explanation:

An experiment used to determine the resistance of a metallic conductor is the resistance of a metallic conductor at different temperatures.

What is Resistance?

Resistance is the property of a conductor to oppose the flow of charges through it which is numerically given as the ratio of the potential difference across its length to the current flowing through it.

Resistance of a metallic conductor is the measure of its opposition to the flow of electric current. Resistance is known to be directly proportional to the temperature which means as the temperature is increased, its resistance increases too and vice versa.

Resistance has an inverse relationship with the cross sectional area of ​​a metallic conductor, so if the resistance increases the cross sectional area decreases and vice versa.

Thus, an experiment used to determine the resistance of a metallic conductor is the resistance of a metallic conductor at different temperatures.

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How to calculate work in chemistry.

Answers

Answer:

look on the bottom

Explanation:

Is it only the math or the physics/physical concepts that you don't get?

In this problem, you have a constant pressure of 1.00 atm.  This being the case, it is an isobaric system (constant pressure), and so you have the equation that work (W) = -pressure(P) x change in volume (∆V)

This is written as W = -P∆V and is known as pressure-volume work.

Now, understand the conventions that are used.

-If work is done ON the system, it has a positive sign (+)

-If work is done BY the system, it has a negative sign (-)

In this problem, the gas is being compressed, i.e. the volume decreases, and so work is being done ON the system. Thus, the sign of W is positive (+).  This comes out automatically because of negative sign in front of P∆V,                                                                                                                                                                                           So,                                                                                                                                       we have W = -P∆V and substituting values, we have

W = -(1.00 atm)(1.5L - 1.25L) = -(1.00 atm)(0.25L) = -0.25 L-atm

Converting this to joules, we get -0.25 L-atm x 101.3 J/L-atm = -25.3 J (note the negative sign)                                                                                                    Hope this all helps a little.


Why does the blue force have a negative sign?
-20 N
50 N
Because 50 is smaller than 20
Because 20 is smaller than 50
Because it is pointing to the left
Because it is blue

Answers

it’s B (because 20 Is smaller than 50)

Heat rising in a hot-air balloon is an example of __________.

Answers

Heat rising in a hot-air balloon is an example of convection.

PLEASE HELP!!

Identify how each machine changes the way work is done so as to
be useful.

Bicycle

Ax blade

Car jack

Answers

When you pedal a bike with chains attached to it, the wheel spins as you exert force from your body into the pedaling. The chains are connected to an almost circular shape.

How machine changes the way of work?

Contrary to popular assumption, using machines does not result in more work being done. They merely alter the method of operation. Machines make work easier by increasing the amount of force used, extending the distance over which the force is exerted, or changing the direction of the force.

Simple machines are helpful because they lessen effort or enable humans to execute things that would normally be beyond their capacity. The wheel and axle, pulley, inclined plane, screw, wedge, and lever are examples of simple devices that are frequently employed.

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A negative charge is paced in an electric field that points west. What direction is the force on the negative particle?

Answers

Answer:

A positive charge placed in an electric field will tend to move in the direction of the electric field lines and a negative charge will tend to move opposite to the direction of the electric field lines.

One way to remember this is that there is one velocity, and so the thumb represents it. There are many field lines, and so the fingers represent them. The force is in the direction you would push with your palm. The force on a negative charge is in exactly the opposite direction to that on a positive charge.

Explanation:

Answer:

The force of the negative particle direction is East.

Every atom contains a
.............. which is positively charged

Answers

Answer:

Proton

Explanation:

The nucleus has an overall positive charge as it contains the protons. Every atom has no overall charge (neutral). This is because they contain equal numbers of positive protons and negative electrons.

consider the hypothetical observation irregular galaxies outside the local group are moving toward us. from part a, this observation would contradict the idea of an expanding universe. why?

Answers

Answer:

spiral galaxies move away from us 10% faster than elliptical galaxies at the same distances;  irregular galaxies outside the Local Group are moving toward us;  galaxy speeds are faster in summer than in winter

Explanation:

This may help I'm not sure.

when energy from battery was added to water, were the gases produced by this made of the same particles as those produced from heating the water?

Answers

Batteries often convert chemical energy directly to electrical energy.

From the experiment, the constructed conclusion was that;

The Two different gases with  different properties  are made from adding energy from a  battery to water.

The particles that make up these different  gases is different from each other. They  are different than the ones that were  made from heating water.  

The matter that is composed of  substances have to originate from matter that  made up some of the original water particles.

When energy from a battery is added to water, two streams of gas bubbles is said to be  produced. Then a lit match is put into  trapped gas from these two sources, one pops and the other glows brighter.

The study was to test the  flammability of gases produced by providing energy to water with electricity.

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What happens when you want to move the boat forward? You pull the oars toward yourself.Explain why you do this.

Answers

Answer:

You pull on the oars. By the third law, the oars push back on your hands, but that’s irrelevant to the motion of the boat. The other end of each oar (the blade) pushes against the water. By the third law, the water pushes back on the oars, pushing the boat forward.

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What is the given formula for acceleration?.

Answers

Answer:

a=v/t (searched)

Explanation:

a=acceleration

v=change in velocity

t=time

(searched)

how do i do this question in science?

Answers

simple subtract and ummmmmm.....

Which type of forces creates contact between surfaces?

Answers

Answer:

Frictional Force: Frictional force is the force caused by the relative motion of two surfaces that come into contact with each other.

What is Kepler’s first law?

Answers

Answer:

Kepler's First Law: each planet's orbit about the Sun is an ellipse. The Sun's center is always located at one focus of the orbital ellipse. The Sun is at one focus. The planet follows the ellipse in its orbit, meaning that the planet to Sun distance is constantly changing as the planet goes around its orbit.

Answer:

Explanation:

Kepler 's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. An ellipse can easily be constructed using a pencil, two tacks, a string, a sheet of paper and a piece of cardboard. Tack the sheet of paper to the cardboard using the two tacks.

If an object is rolling without slipping, how is the speed of its center related to its angular velocity

Answers

Angular velocity w is directly proportional to its velocity.

Speed of its center will be directly proportional to its angular velocity in the case of rolling without slipping

 

What is rolling without slipping ?

Rolling without slipping is a combination of translation and rotation where the point contact is instantaneously at rest.                                                                                                                                                                                                                                                                                                                                                                

When an object rolls without slipping on an inclined plane , then the velocity of the center of mass will be equal to angular velocity times radius that object.

Vo = angular velocity * radius

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Why is wrestling ring floor always softThis is physics

Answers

Answer:

So the people in the ring don't get hurt or break anything on impact once they hit the floor

is putting water in a water bottle increasing its mass?

Answers

Answer:

No

Explanation:

Answer:

yes

Explanation:

what is the radius of the event horizon of a 10 solar mass black hole?

Answers

Answer:

The number take for the "radius" is normally taken to be the radius from the center to the event horizon, since nothing inside that can be observed, and since it is a point of no return. This radius is directly proportional to the mass of the black hole. From the Wikipedia article on event horizon: "For the mass of the Sun this radius is approximately 3 kilometers and for the Earth it is about 9 millimeters. In practice, however, neither the Earth nor the Sun has the necessary mass and therefore the necessary gravitational force, to overcome electron and neutron degeneracy pressure." The last sentence means that it is unlikely for the Sun to become a black hole, since it has too little mass to become one.

Explanation:

CAN I GET BRAINLIEST

Tiny mass of 67kg and tubby mass of 83 kg are now on the opposite ends of a see saw and are both 1.4m from the balance point where should their sister teeny whose mass is 32 kg sit so the see saw balances

Answers

Answer:

0.7 m between the balance point and Tiny

Explanation:

It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?

Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.

At equilibrium, the sum of all momentums (momenta?) will be zero:

[tex]67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7[/tex]

In layman's term, she has to be halfway between the balance point and Tiny.

A potted plant falls from the window of an apartment building. It falls for 2.0 s and then hits the ground. What is the speed of the plant just before it hits the
ground? Assume only gravity is acting on it.
A) 20m/s
B)9.8m/s
C)2.0m/s
D)4.9m/s

Answers

Answer:

D) 4.9 m/s

Explanation:

Speed of Object in Free Fall

s = Rate of Acceleration, Due to Gravity × Length of Time

s = 9.8 × 2.0

s = m/s (Round Up to The Nearest Whole Number)

--

m/s = 9.8 ÷ 2.0 = 4.9 m/s

How do air particles move above a candle flame

Answers

It circulates. As warm air moves up, cooler air rushes in at the bottom of the flame. Once the cooler air is heated, it then rises up (like before) and is replaced by cooler air at the base of the flame.
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