A block with a mass of 6.0 kg is
held in equilibrium on an incline
of angle θ = 30.0° by a horizontal
force, F, as shown in the figure.
Find the magnitudes of the
normal force on the block and of F. (Ignore friction.)

Answers

Answer 1

(a) The normal force on the block is 50.92 N.

(b) The horizontal force on block keeping it in equilibrium is 29.4 N.

The given parameters;

mass of the block, m = 6 kgangle of inclination, θ = 30.0°

The normal force on the block is calculated as follows;

[tex]F_n = W \times cos(\theta)[/tex]

where;

W is the weight of the block

[tex]F_n = mg \times cos(\theta)\\\\F_n = 6 \times 9.8 \times cos(30)\\\\F_n = 50 .92 \ N[/tex]

The horizontal force on block keeping it in equilibrium is calculated as follows;

[tex]F- F_x = 0\\\\F-mgsin\theta= 0\\\\F = mgsin\theta\\\\F = 6 \times 9.8 \times sin(30)\\\\F = 29.4 \ N[/tex]

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Related Questions

HEEEEEELLLLLLLLPPPPPPPP!!!!!!!!!!

Answers

Answer:

True

True

False (Temperature measures the average kinetic energy of the particles in a substance. Thermal energy measures the total kinetic energy of the particles in a substance.)

False (is true only if both object have the same mass)

False (it's 100°)

True

True

True

True

False (Substances with a high specific heat require a lot of heat to have their temperature raised by one degree. On the other hand, substances with a low specific heat require a smaller amount of heat, like most metals)

What is unusual (compared to other planets) about how water is found on earth

Answers

Answer:

It is unique among planets in our solar system for having water in its liquid form at the surface, in an amount conducive to life evolving. ... No one knows why Earth has the exact amount of water it does, which is relatively small considering that water molecules outnumber silicate molecules in the galaxy, he said. so no one actually found out who actually put water on the earth and why

Explanation:

Answer:

It is the only planet in our solar system that has water in its liquid state at the surface in sufficient quantities to support the evolution of life. Despite the fact that water molecules outnumber silicate molecules in the galaxy, no one understands why Earth has the precise quantity of water it has, which is a minuscule amount when compared to the rest of the galaxy.

Explanation:

Hope it helps:)

a 10kg model rocket is fired at a 60 degree angle from horizontal from the football field with a thrust of 200N. what is the acceleration of the rocket?​

Answers

Answer:

the acceleration of the rocket is: a=vemΔmΔt−g a = v e m Δ m Δ t − g .

Explanation:

I answered this before.

hope this helps! :)

A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2.how much force did this require ?

Answers

Answer:

6500N

Explanation:

F = ma so therefore Were given mass (m) = 1500 kg, acceleration (a) = 5 m/s2, well have to calculate the force to be:

1500 x 5 = 6500 N

Match the following terms to the correct definition:

1.law of conservation of energy:
2.thermal energy:
3.temperature:
4.kinetic energy:
5.potential energy:

A.the energy associated with the motion and positions of particles
B.the stored energy an object possess, often due to its position relative to other objects around it
C.a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.
D.the energy that an object possesses due to its motion
E.a measure of the average kinetic energy of the particles in an object due to their random motions

Answers

The terms with their correct definition is matched as follows:

The law of conservation of energy is a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.

Thermal energy is the measure of the average kinetic energy of the particles in an object due to their random motions.

Temperature is the energy associated with the motion and positions of particles.

Kinetic energy is the energy that an object possesses due to its motion or movement. It is measured in Joules.

Potential energy is the stored energy an object possess, often due to its position relative to other objects around it.

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SECOND remake of a question i made... IF YOU PLACE ANY NON-BRAINLY QUESTION LINK I WILL LOOSE MY (QUACK)ING MIND BECAUSE IM HAVING ENOUGH OF PEOPLE BREAKING MY BRAINLY!
(the screenshot is the original question that was broken by Brianbobtv placing a virus link into the answer box... and the first remake was broken by Brianfps for the same thing but a different virus link [a common one you'll see] please read everything in the screenshot before answering)
For the love of all that is holy and not, please don't place a link at all... or ill loose my mind im surprised i didn't loose it yet from the second brainly break... the screenshot is everything from the first question of this... the second is the question separated from the original question... the third is the star amount meaning

Answers

Answer:

C.) decreases, stronger

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases; however, as the two objects are closer to each other, the force of the gravitational attraction between them also increases (stronger).

A length of organ pipe is closed at one end. If the speed of sound is 344 m/s, what length of pipe is needed to obtain a fundamental frequency of 63 hz?.

Answers

Answer:

Node-Antinode       for a pipe closed at one end (fundamental)

The length of such a pipe would be wavelength / 4

lambda (wavelength) = speed / frequency = 344 m/s / 63 / sec = 5.46 m

The pipe would have to be 5.46 / 4 = 1.36 m

Agatha the snake is 50 centimeters long.3 years from now she will be 152 centimeters long and fully grown. If Agatha grows at constant rate, how much does she grow in length each year​

Answers

Answer:  34cm each year

Explanation:

What happens in a nucleus during beta decay

The numbers of protons increases

The number of neutrons increases

The number of protons decrease

The number of protons plus the number of neutrons decreases

Answers

The number of protons plus the number of neutrons decreases

Beta decay occurs when, in a nucleus with too many protons or too many neutrons, one of the protons or neutrons is transformed into the other. In beta minus decay, a neutron decays into a proton, an electron, and an antineutrino: n Æ p + e - +.

Does a 2-kilogram rock have twice the mass
of a 1-kilogram rock?

Answers

Yes.

Because the mass would be measured in kilograms ( given units) 2 is two times greater than 1, so it would have twice the mass

Answer:

yes the 2 kg rock would be twice the size as a 1 kg rock

What factors determine climate?

Answers

Answer:

here

Explanation:

Climate is determined by the temperature and precipitation characteristics of a region over time. The temperature characteristics of a region are influenced by natural factors such as latitude, elevation and the presence of ocean currents.

What are the definitions of initial horizontal velocity and initial vertical velocity? NO LINKS! STOP SCAMMING ME CARTOKUN AND CARTERMANATOR!

Answers

Consider again the cannonball launched by a cannon from the top of a very high cliff. Suppose that the cannonball is launched horizontally with no upward angle whatsoever and with an initial speed of 20 m/s. If there were no gravity, the cannonball would continue in motion at 20 m/s in the horizontal direction. Yet in actuality, gravity causes the cannonball to accelerate downwards at a rate of 9.8 m/s/s. This means that the vertical velocity is changing by 9.8 m/s every second.hopes that helped

What are the advantages and/or disadvantages of the radiation that technology has had for the human economy?

Answers

Advance technology in economy

In an exothermic reaction, energy is

the surroundings.


In an endothermic reaction, energy is

the surroundings.

Answers

In Exothermic reaction energy is Thrown/Relased to the surroundings.In endothermic reaction, energy is absorbed from the surroundings.

Trick to identify:-

Exothermic reaction has +∆H sign on product sideEndothermic reaction has -∆H sign on product side or +∆H sign on reactant side

Answer:

In an exothermic reaction, energy is

✔ released to

 the surroundings.

In an endothermic reaction, energy is

✔ absorbed from

 the surroundings.

Explanation:

Name 3 things you have in your home that you could use to make an electromagnet.

Answers

Answer:

radio TV set and telephone

what is Secular Music's instrument's?​

Answers

Answer:

Drums, harps, recorders, and bagpipes.

Explanation:

150 J of work is done on a closed system, and 270 J of heat is added to the system. Does the internal energy of the system increase, decrease, or stay the same? If the internal energy changes, state the change in energy.

Answers

The change in the internal energy of the system will increase.

The given parameters;

work on the system, w = 150 Jheat added to the system, Q = 270 J

The change in the internal energy of the system is calculated by applying first law of thermodynamics as follows;

ΔU = Q + w

where;

ΔU is the change in the internal energy

ΔU = 150 J + 270 J

ΔU = 420 J

Thus, the change in the internal energy of the system increases.

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which statement about moist air moving over a mountain is correct?

Answers

Answer:

Explanation:

The orographic effect occurs when air masses are forced to flow over high topography. As air rises over mountains, it cools and water vapor condenses. As a result, it is common for rain to be concentrated on the windward side of mountains, and for rainfall to increase with elevation in the direction of storm tracks.

An astronomer discovers a massive galaxy which has four nuclei. What is a likely explanation for a galaxy having more than one nucleus

Answers

The universe is made of a lot of galaxies. The likely explanation for a galaxy having more than one nucleus is that the galaxy must have swallowed several smaller galaxies that were its neighbors.

There are some reason behind the theory that the eating up of a galaxy is by another galaxy. The galaxy is said to have a  powerful past due to the fact  that a lot of smaller galaxies were eaten up.

The universe is known to have a very largest galaxy called the giant elliptical galaxy that is made up of about a trillion stars.

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A guitar string has a fundamental frequency f. The tension in the string is increased by 1.70%. Ignoring the very small stretch of the string. How does the fundamental frequency change?

Answers

The characteristics of the speed of the waves in strings and the resonance allows to find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

The speed of the chord wave is given by the relationship between the tension and the density of the medium.

          [tex]v= \sqrt{\frac{T}{\mu } }[/tex]  

Where v is the velocity of the wave, T the tension of the string and μ the density

In a rope held at the ends, a process of standing waves occurs, two at the point where it is attached we have a node and a anti-node in the center.

             2L = n λ

Where L is the length of the chord and call the wavelength

Wave speeds are related to wavelength and frequency.

        v = λ f

We substitute.

            [tex]\sqrt{\frac{T}{\mu } } = \frac{2L}{n} \ \ f[/tex]  

For the fundamental frequency n = 1

            f₀ = [tex]f_o = \sqrt{\frac{T}{\mu } } \ \ \frac{1}{2L}[/tex]  

They indicate that the tension increases 1.70%

           T = T₀ + 0.17 T₀

           T = 1.17 T₀

We substitute.

         [tex]f = \sqrt{1.17 } \ \sqrt{\frac{T_o}{\mu } } \ \ \frac{1}{2L}[/tex]

         f = ra1.17 f₀

         f = 1.08 f₀

In conclusion, using the characteristics of the velocity of the waves in strings and the resonance we can find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

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I agree to hire you for 30 days. You can decide between two methods of payment: either (1) $1000 a day, or (2) one penny on the first day, two pennies on the second day and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision, and justify it

Answers

Answer:

The second deal.

Explanation:

I had that before, if u pick the second one you will get twice as much in a year as the first one.

when light reflects from a surface, there is a change in its

Answers

The answer is: none of the above.

Explanation:

When light reflects from a surface, the frequency, wavelength, and speed do not change. They remain the same.

When light reflects from a surface, there is a change in its intensity. Thus, the correct option is C.

What is Light intensity?

Light intensity is also known as luminous intensity. It is the amount of light which is falling on a surface over any given square foot or square meter in size. Light intensity can be measured in terms of lumens per square foot (foot candles) or lumens per square meter (lux).

Light intensity is affected by various factors such as surface on which the light rays strike, the medium, reflection, and the refraction of light.

When a ray of light reflects from a surface, there is a change in the intensity of light and also the speed of light in that medium.

Therefore, the correct option is C.

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Your question is incomplete, most probably the complete question is:

When light reflects from a surface, there is a change in its:

a. frequency

b. velocity

c. intensity

d. phase

A ball is thrown from ground level at an angle of 0 and the initial velocity components are 7.5m/s and 13m/s. Ignoring air resistance, calculate each of:

1- The initial velocity is vi

2- The value of the angle at which the ball was thrown

3 - The horizontal range of the ball R​

Answers

I assume you mean an angle of θ, and not 0. I also assume the given components of the initial velocity are horizontal and vertical, respectively, so that

1. the initial velocity vector is

[tex]\boxed{\vec v_i = (7.5\,\vec\imath + 13\,\vec\jmath) \dfrac{\rm m}{\rm s}}[/tex]

which means the ball is thrown with an initial speed of

√((7.5 m/s)² + (13 m/s)²) ≈ 15 m/s,

and

2. the angle made by [tex]\vec v_i[/tex] with the positive horizontal axis is θ such that

[tex]\tan(\theta) = \dfrac{13}{7.5} \implies \theta \approx \arctan(1.7) \approx \boxed{60^\circ}[/tex]

3. At time t, the ball attains a height y and horizontal range x according to

y = (13 m/s) t - g/2 t²

x = (7.5 m/s) t

where g = 9.8 m/s². When the ball reaches the ground (y = 0) for t > 0, we have

(13 m/s) t - g/2 t² = 0

13 m/s - g/2 t = 0

t = 2 (13 m/s)/g = (26 m/s)/g

Plugging this time into the x equation gives a horizontal range of

x = (7.5 m/s) (26 m/s)/g ≈ 20. m

What are the variables that affect the force of gravity between objects?

Answers

The answer is to say I don’t have to say it was wrong

A toy car travels down a sloping ramp at constant speed. toy car Which statement about
the forces acting on the car is correct?

A There are no forces acting on the car vertically.

B There is no resultant force acting on the car.

C There is no gravitational force acting on the car.

D There is no frictional force acting on the car.

Answers

Answer:

D There is no frictional force acting on the car.

Explanation:

There isnt any friction acting on the car while its going down.

How much work is needed to stop a 1,110 kg car that is moving straight down the
highway at 59.0 km/h?

Answers

Answer:

382.74 kJ.

Explanation:

The work that must be done to stop an 1100 kg car travelling at 59  km/h is  - 382.74 kJ.

The work needed to stop an 1100 kilograms car moving with a velocity of  59.0 km/hr would be  147.72 kilojoules.

What is work done?

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

Work Done = Force * Displacement

As given in the problem we have to find out how much work is needed to stop a 1,110-kilogram car that is moving straight down the highway at 59.0 kilometers/hour

the mass of the car = 1100 kilograms

the velocity of the car = 59 kilometers/hour

KE = 0.5mv²

     =0.5×1100×(59×1000/3600)²

     = 147.72 kilojoules

Thus, the work needed to stop an 1100 kilograms car would be  147.72 kilojoules

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what is faster?
A. train
B. bus
C. airplane
D. boat

Answers

Answer:

airplane

Explanation:

Answer:

a plane would go by far the fastest

Explanation:

it would be airplane ,train, boat, bus

PLEASE HELP

While moving at a constant speed on a level, snowy surface, a snowmobile rider throws a snowball vertically up-
wards. If the snowmobile continues moving at a constant velocity, the ball returns to the driver. Explain, using one of Newton's Laws of Motion why the ball lands ahead of the driver if the snowmobile stops.

Answers

The ball lands ahead of the driver if the snowmobile stops in obedience to the law of inertia.

According to Newton's first law of motion, an object continues in its state of rest or uniform motion unless it is acted upon by an unbalanced external force. This is also known as the law of inertia.

The law of inertia explains the reluctance of an object to stop when it has started moving and also the reluctance of objects to start moving. The ball lands ahead of the driver if the snowmobile stops in obedience to the law of inertia.

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What do atoms joined by covalent bonds share?

Answers

Answer:

A covalent bond consists of the mutual sharing of one or more pairs of electrons between two atoms. These electrons are simultaneously attracted by the two atomic nuclei. A covalent bond forms when the difference between the electronegativities of two atoms is too small for an electron transfer to occur to form ions.

Explanation: hope it helps :)

How does the diameter of a black hole (size of the event horizon) depend on the mass inside the black hole

Answers

Answer:

The greater the mass, the greater is the diameter

Explanation:

The greater the mass, the greater is the diameter. almost all galaxies contain supermassive black holes.

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