12. A lathe mounted on wooden skids is to be slid down a pair of planks placed against the back of a truck.
(a) If the coefficient of friction is 0.28, what angle should the planks make with the ground in order for the lathe to slide down at constant velocity?
(b) When the planks are at this angle, will the lathe start to slide down of its own accord?

Answers

Answer 1

(a) The angle the planks make with the ground in order for the lathe to slide down at constant velocity is 90⁰.

(b) Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.

The given parameters:

coefficient of friction, μ = 0.28

The net force on the wooden skids is calculated as follows;

[tex]\Sigma F = 0\\\\F - \mu mg cos\theta = 0\\\\ma - \mu mg cos\theta = 0\\\\ma = \mu mg cos \theta \\\\a = \mu g cos\theta\\\\at \ constant \ velocity , \ a = 0\\\\0 = \mu g cos \theta\\\\cos \theta = 0\\\\\theta = 90 ^0[/tex]

Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.

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Related Questions

a new planet is discovered that has twice the earth’s mass and twice the earth’s radius. on the surface of this new planet, a person who weighs 500 n on earth would experience a gravitational force of

Answers

Answer: 250n

Explanation:

The formula for gravitational force is: F = (gMm)/r^2

There are two factors at play here:

1) The mass of the planet 'M'

2) The radius 'r'

We can ignore the small M and the g, they are constants that do not alter the outcome of this question.

You can see that both M and r are double that of earth. So lets say earth has M=1 and r=1. Then, new planet would have M=2 and r=2. Let's sub these two sets into the equation:

Earth. F =  M/r^2 = 1/1

New planet. F = M/r^2 = 2/4 = 1/2

So you can see that the force on the new planet is half of that felt on Earth.

The question tells us that the force on earth is 500n for this person, so then on the new planet it would be half! So, 250n!

If a planet has an eccentricity of 0.92 and a distance of the major axis is 5,000,000 km, then what is the distance between foci?(1 point)

460,000,000 km
0.00000018 km
4,600,000 km
5,000,000 km

Answers

Answer:

it’s the third option: 4,600,000 km

Explanation:

just took the test and that was correct

Texting: what are two needs or wants that this wave technology meets it:

Answers

Answer:

bugs/viruses all the time and more social platforms

Explanation:

What the number ??? Help Please

Answers

Answer:

first number is 113 and the second number is 15

-
In the balanced equation, 4KO2 + 2CO2 = 2K2CO3 + 302, which two chem-
icals have a molar ratio of 1:1?

Answers

The two chemical compounds having a molar ratio of 1 : 1 is CO₂ and K₂CO₃

                4KO₂ + 2CO₂ —> 2K₂CO₃ + 3O₂

                4       :    2         :   2       :       3

From the balanced equation above, the coefficients are 4, 2, 2, 3

A careful observation of the equation shows that CO₂ and K₂CO₃ exist in ratio 2 : 2 which can be simplified as 1 : 1

Therefore, we can conclude that CO₂ and K₂CO₃ has molar ratio of 1 : 1

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car was moving in a straight road of length 320 km it covered 240 km with an average velocity 75 km/hr then it ran out of fuel and stopped for 0.6 hr until it was refueled and completed its journey with a velocity 100 km/hr so the average velocity during the whole journey

Answers

The average velocity of the car for the whole journey is 69.57 km/h.

The given parameters:

Length of the road, L = 320 kmDistance covered = 240 km at 75 km/htime spent refueling, t₂ = 0.6 hrFinal velocity, = 100 km/hr

The time spent by the before refueling is calculated as follows;

[tex]t = \frac{d}{v} \\\\t_1 = \frac{240}{75} \\\\t_1 = 3.2 \ hours[/tex]

The time spent by the car for the remaining journey;

[tex]t_3 = \frac{320 - 240}{100} \\\\t_3 = 0.8 \ hr[/tex]

The total time of the journey is calculated as follows;

[tex]t = t_1 + t_2 + t_3\\\\t = 3.2 \ hr \ + \ 0.6 \ hr \ + \ 0.8 \ hr\\\\t = 4.6 \ hours[/tex]

The average velocity of the car for the whole journey is calculated as follows;

[tex]v = \frac{total \ distance }{total \ time} \\\\v = \frac{320}{4.6} \\\\v = 69.57 \ km/h[/tex]

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How to find final velocity and initial velocity and acceleration ? :(

Answers

Explanation:

Final velocity=Initial velocity+(acceleration×time)

4 ways to find initial velocity:

1) Initial velocity=Final velocity-(acceleration×time)

2) Initial velocity=(Distance/Time)-((acceleration×time)/2)

3) Initial velocity=√Final velocity-(2×(acceleration×distance))

4) Initial velocity=2(distance/time)-Final velocity

Total force = Mass×Acceleration

(F=ma)

Use what you know about mass and how you use it to calculate force in the following situation. If each washer has a mass of 4. 9 g, then the mass of two washers in kilograms would be. Given that F = ma, and if 4 washers are attached to the string and car instead of 2, then the applied force on the car will be. Recall a = 10 m/s2.

Answers

Considering the change of units and the definition of weight, the mass of two washers would be 0.0098 kg and if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.

Mass of two washers

If each washer has a mass of 4.9 g, then the mass of two washers will be calculated simply by multiplying the mass of 1 washer by the amount you have of them, in this case 2:

4.9 g×2= 9.8 g

Being 1 kg = 1000 g, you apply the following rule of three to make the change of units: if 1000 g equals 1 kg, 9.8 g equals how many kilograms?

[tex]mass=\frac{9.8 gramsx1 kg}{1000g}[/tex]

Solving:

mass= 0.0098 kg

Finally, the mass of two washers would be 0.0098 kg.

Applied force

On the other side, mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.

The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:

W= m×g

In this case, you know:  

m= 4.9 g×4= 19.6 g= 0.0196 kg → the mass of 4 washers in kilogramsg= 10 m/s²

Replacing:

W= 0.0196 kg× 10 m/s²

Solving:

W= 0.196 N

Finally, if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.

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Answer:

C, B

Explanation:

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of mc001-1. Jpg 6. 67 inches 10. 47 inches 20. 94 inches 62. 8 inches.

Answers

The approximate length of the arc intersected by the central angle is 20.94 inches.

The given parameters:

Radius of the circle, r = 10 inchesCentral angle, [tex]\theta = \frac{2\pi }{3} \ rad[/tex]

The approximate length of the arc intersected by the central angle is calculated as follows;

S = rθ

where;

S is the length of the arc

Substitute the given parameters and solve for the length of the arc

[tex]S = 10 \ in \times \frac{2\pi }{3} \\\\S = 20.94 \ inches[/tex]

Thus, the approximate length of the arc intersected by the central angle is 20.94 inches.

Your question is not complete, find the complete question below:

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of [tex]\frac{2\pi}{3}[/tex].

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What is the anomalous expansivity of water

Answers

Answer:

The anomalous expansion of water is an abnormal property of water whereby it expands instead of contracting when the temperature goes from 4o C to 0o C, and it becomes less dense. The density is maximum at 4 degree centigrade and decreases below that temperature as shown in graph.

Explanation:do you want me to explain it more??

A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)
The outer shell electrons move from the balloon to the sweater.

The fibers of the sweater lose electrons.

The balloon becomes positively charged.

The free electrons in the balloon decreases.

Answers

Answer:

The fibers of the sweater lose electrons.

An object, moving with a constant velocity, travels 400 m in 25 s. What is its velocity?

Answers

v = d/t

= 400/25

= 16 m/s

I'm not sure though

Please help someone. A generator consumes 147 joules of energy in fuel and produces 75 joules of energy
in electricity. Engineers are challenged to produce a generator that is 20% more
efficient. Which of the following combinations of input and output energy represents a generator that has met this design challenge?
a. 150 joules of fuel to produce 90 joules of electricity
b. 135 joules of fuel to produce 68 joules of electricity
c. 60 joules of fuel to produce 100 joules of electricity
d. 115 joules of fuel to produce 82 joules of electricity

Answers

Answer:

A

Explanation:

Current effiency

= 75/147

= 0.5102

New Efficiency

= 120/100 × 0.5102

= 0.6122

Only option A satisfies this efficiency.

White light is an _____ mixture of all the colors.

Answers

Answer:

White light is a combination of all colors in the color spectrum.

Explanation:

It has all the colors of the rainbow. Combining primary colors of light like red, blue, and green creates secondary colors: yellow, cyan, and magenta

**BRAINLIEST** How does the Combining Vinegar and Baking Soda table represent the law of conservation of matter when baking soda and vinegar are combined?

Answers

Basically your liquid will go over the line because you are adding more mass. the balloon will inflate because  of mass filling it.  Part 1  I noticed that there was a change from the original line.   part 2  Some mass is lost. The bubbles are the gas leaving. The balloon increases in size because of the mass. The cup got heavier when I added the vinegar.

Gas leaving caused the bubbles.

on what factors does the quantity of heat of an object depend​

Answers

Answer:

The quantity of heat given to body depends on: (i) The mass of the body, (ii) The rise (or fall) in the temperature of the body, and (iii) Nature of the material of the body.

Explanation:

Hope this helps

have a great day

~Zero

The force involved in falling of an apple from a tree is known as? (a) Magnetic force (b) electrostatic force (c) Contact force (d) gravitational force​

Answers

Answer:

gravitational force

...........

A young diver is practicing his skills before an important team competition. Use the diagram below in order to analyze the energies of the diver and complete the statements below.

Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.

A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is

A. 1350 J

B. 8820 J

C. 4410 J

D. 0 J

and his velocity is

E. 4.5 m/s

F. 0 m/s

G. 3.2 m/s

H. 9.9 m/s

Please help will mark brainliest

Answers

Mass of the diver (m) = 90 Kg.Height of the board from the ground (h) = 10 m.Acceleration due to gravity (g) = 9.8 m/s^2.Height of the diver from the ground when he reaches point C (x) = 5mInitial velocity (u) = 0 m/sWe know, gravitational potential energy of a body = mass × acceleration due to gravity × height.Therefore, the gravitational potential energy of the diver when he reaches point C (GPE) = mg(h - x)or, GPE = [90 × 9.8 × (10-5)] Jor, GPE = [90 × 9.8 × 5] Jor, GPE = 4410 JFor a freely falling body,v^2 - u^2 = 2ghor, v^2 = 2ghWe know, kinetic energy of a body = 1/2 mv^2Therefore, kinetic energy of the diver when he reaches point C (KE) = 1/2 m(2gx)Here, 2gx = (2 × 9.8 × 5) = 98 (m/s)^2We have already seen v^2 = 2gh or, v = √2ghSo, the velocity of the diver = √2gx = √98 m/s = 9.9 m/s

Answers:

The gravitational potential energy of the diver when he reaches point C is 4410 J.

The velocity of the diver is 9.9 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

h=10m-5m=5mm=90Kgg=9.8m/s^2

[tex]\\ \sf\longmapsto PE=mgh[/tex]

[tex]\\ \sf\longmapsto PE=90(5)(9.8)[/tex]

[tex]\\ \sf\longmapsto PE=4410J[/tex]

Now

It's converted to kinetic energy while reaching ground.

[tex]\\ \sf\longmapsto K.E=4410[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}mv^2=4410[/tex]

[tex]\\ \sf\longmapsto 90v^2=8820[/tex]

[tex]\\ \sf\longmapsto v^2=98[/tex]

[tex]\\ \sf\longmapsto v=9.9m/s[/tex]

pls help quickly

Which of these materials best scatters the light that strikes it?
a pure water
b shiny mirror
c frosted glass
d eyeglass lens

Answers

Answer: frosted glass

Explanation:

Answer:

C

Explanation:

Frosted Glass

what prevents the planets in our solar system from floating away?
A. Earth's gravitational pull
B. planets gravitational pull on one another
C. moon's gravitational pull
D. suns gravitational pull​

Answers

The suns gravity keeps planets in their orbits. There is no other force in space to pull them out of their orbits therefore they stay.

Suns' gravitational pull​ prevents the planets in our solar system from floating away, therefore the correct answer is option D.

What is a solar system?

It is a structure in which the sun's attractive force causes all the planetary systems and celestial bodies to revolve around this.

The Sun is believed to be located in the system's center in the sun-centered concept upon which our Solar System is founded.

The primary factor that causes the planets in the solar system to revolve around the sun is gravity.

                                         

The sun's pull of gravity prohibits the planets in our planetary system from moving away, hence option D is the appropriate

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1. The law of reflection states that the angle of _______ is equal to the angle ofreflection

•refraction
•incidence

Answers

Answer:

refraction

Explanation:

but this is easy so why

Other than temperature, which property also has an effect on the rates of chemical reactions?
A.Color of reactants
B.Concentration of reactants
C.Solubility of reactants
D.Volume of reactants

Answers

Other than temperature, the property that also has an effect on the rates of chemical reactions is the concentration of the reactants. The correct answer is B

The rate of chemical reaction means how chemical react with respect to time or as a function of time. The rate of chemical reaction tells us the speed or how fast chemicals react.

There are many factors that can affect the rate of chemical reaction. Temperature is one of them. Increase in temperature will increase the rate at which chemical react.

The color of reactants, solubility of reactants and volume of reactants have nothing to do with the rate of chemical reaction.

Other than temperature, the property that also has an effect on the rates of chemical reactions is the concentration of the reactants.

Other factors affecting the rate of chemical reaction are:

the physical state of the reactants surface area temperature and the presence of a catalyst

Therefore, the correct answer is option B

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How many neutrons are in an atom of Carbon-13 or (613C)?

Answers

Answer: 6 OR 7

Explanation:

Va A rail wagon of mass
5000 kg moving at a velocity
of 1.6 ms-1 collides with a
stationary wagon of mass
3000 kg (see Figure 4). After
the collision, the 3000 kg wagon
moves away at a velocity of
1.5 ms-1. Calculate the speed
and direction of the 5000 kg
wagon after the collision.

Answers

Answer:

0.7m/s

Explanation:

According to the conservation of linear momentum, the moment before a collision is equal to the moment after the collision. The equation is written as follows: [tex]m_{a}u_{a} + m_{b}u_{b} = m_{a}v_{a} + m_{b}v_{b}[/tex], where [tex]m[/tex] is the mass of the object, [tex]u[/tex] is the initial velocity, and [tex]v[/tex] is the final velocity.

Let's say the object [tex]a[/tex] is our moving wagon and the object [tex]b[/tex] is our stationary wagon. [tex]m_{a} = 500kg, u_{a} = 1.6ms^{-1}[/tex],  [tex]m_{b} = 3000kg, u_{b} = 0[/tex], since the wagon is stationary, it doesn't have any initial velocity. After collision, the mass remains the same, but the velocity changes: [tex]v_{a} = ?, v_{b} = 1.5ms^{-1}[/tex]

We can observe that [tex]v_{a}[/tex] is what we're looking for according to the question. Now let's substitute our values.

[tex](5000 * 1.6) + (0) = 5000v_{a} + (3000 * 1.5)[/tex]

[tex]v_{a} = \frac{(5000 * 1.6) - (3000*1.5)}{5000}[/tex] = 0.7m/s

please help quick
How much work is done by the people in raising the load 3 meters if the combined pulling force of the men on the rope is 700 newtons?
A.233 N·m
B. 703 N·m
C. 2,100 N·m
D. 400 N·m

Answers

Answer:

C is the right answer for the question

please someone help me understand this question ​

Answers

[tex]\\ \sf\longmapsto F=\dfrac{Gm_1m_2}{r^2}[/tex]

m1 and m2 has same units let both be m

[tex]\\ \sf\longmapsto F=\dfrac{Gm^2}{r^2}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{Fr^2}{m^2}[/tex]

SI units:-

F=Newton (N)r=metre(m)mass=m=kg

[tex]\\ \sf\longmapsto G=\dfrac{Nm^2}{kg^2}[/tex]

Option C is correct

What is the minimum number of overload units such as heaters, trip coils, or thermal cutouts allowed for a three-phase AC motor's protection

Answers

The minimum number of overload units for a three-phase AC motor's protection is THREE (3). It is a polyphase motor.

Three-phase motors are polyphase motors, which can be induction motors or synchronous motors.

A three-phase motor is organized to run on three-phase alternating current (AC) electrical power, which is required for diverse industrial devices that use a lot of electrical energy.

These motors (three-phase motor) are composed of a stator (the outer part), a rotor (rotating part), and the enclosure (the external skeleton).

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Select the correct answers from the list.(1 point) A black hole begins to form as an aging star abruptly collapses when it ceases__________ . This occurs after the star has consumed its component elements in this order___________.

Answers

A black hole forms as a star collapses when it ceases emitting radiation from fusion reactions. This occurs after the star has consumed hydrogen, helium, then through iron.

Star evolution refers to the process by which stars evolve (change) over time.

A black hole can be defined as a collapsed star where the gravitational field in its nucleus becomes greater than particles cannot escape from it.

In consequence, black holes are cosmic bodies in which gravity is so powerful that nothing (i.e., particles, radiation, light, etc.) can escape from them.

Nuclear fusion refers to the energy reactions produced by the fusion of hydrogen at the core of a star, thereby becoming helium.

Learn more about black holes here:

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23 and 24 only please help!

Answers

Answer:

23: Acceleration 24:1m/s^2

Explanation:

[tex]a = (v_f - v_i) /delta(t)\\a=(16-10)/6\\a=6/6\\a=1m/s^2[/tex]

Which is an action that can cause an object to move or change its state of motion? energy force equilibrium inertia

Answers

Answer:

correct

Explanation:

In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate. Secondly, what force is necessary to change an object's motion?

Answer:

force

Explanation:

got it right on the test

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