A horizontal force F~ is applied to a block of mass m = 1 kg placed on an inclined
at θ = 30◦ plane. The coefficients of static and dynamic friction are µs = 0.3 and µ = 0.2, respectively. Find F such that the block is moving up the slope with a constant speed.

Answers

Answer 1

Hi there!

To find the appropriate force needed to keep the block moving at a constant speed, we must use the dynamic friction force since the block would be in motion.

Recall:

[tex]\large\boxed{F_D = \mu N}}[/tex]

The normal force of an object on an inclined plane is equivalent to the vertical component of its weight vector. However, the horizontal force applied contains a vertical component that contributes to this normal force.

[tex]\large\boxed{N = Mgcos\theta + Fsin\theta}}[/tex]

We can plug in the known values to solve for one part of the normal force:

N = (1)(9.8)(cos30)  + F(.5) = 8.49  + .5F

Now, we can plug this into the equation for the dynamic friction force:

Fd= (0.2)(8.49 + .5F) = 1.697 N + .1F

For a block to move with constant speed, the summation of forces must be equivalent to 0 N.

If a HORIZONTAL force is applied to the block, its horizontal component must be EQUIVALENT to the friction force. (∑F = 0 N). Thus:

Fcosθ = 1.697 + .1F

Solve for F:

Fcos(30) - .1F = 1.697

F(cos(30) - .1) = 1.697

F = 2.216 N


Related Questions

The diagram shows a 1-newton metal disk resting on an index card that is balanced on top of a glass.
Metal disk
Index
card
Glass
When the index card is quickly pulled away from the glass in a horizontal direction, the disk falls straight down into the glass,
Which statement explains this action?
o The action is a result of the disk's shape.
The action is a result of the disk's charge.
o The action is a result of the disk's inertia.
o The action is a result of the disk's temperature.

Answers

Answer:

The action is a result of the disk’s inertia.

Explanation:

One ball of mass 0.600kg travelling 9.00m/s to the right collides head on elastically with a second ball of mass 0.300kg travelling 8.00m/s to the left.what are their velocities after collisions?

Answers

Let m₁ and v₁ denote the mass and initial velocity of the first ball, and m₂ and v₂ the same quantities for the second ball. Momentum is conserved throughout the collision, so

m₁ v₁ + m₂ v₂ = m₁ v₁' + m₂ v₂'

where v₁' and v₂' are the balls' respective velocities after the collision.

Kinetic energy is also conserved, so

1/2 m₁ v₁² + 1/2 m₂ v₂² = 1/2 m₁ (v₁')² + 1/2 m₂ (v₂')²

or

m₁ v₁² + m₂ v₂² = m₁ (v₁')² + m₂ (v₂')²

From the momentum equation, we have

(0.600 kg) (9.00 m/s) + (0.300 kg) (-8.00 m/s) = (0.600 kg) v₁' + (0.300 kg) v₂'

which simplifies to

10.0 m/s = 2 v₁' + v₂'

so that

v₂' = 10.0 m/s - 2 v₁'

From the energy equation, we have

(0.600 kg) (9.00 m/s)² + (0.300 kg) (-8.00 m/s)² = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²

which simplifies to

67.8 J = (0.600 kg) (v₁')² + (0.300 kg) (v₂')²

or

226 m²/s² = 2 (v₁')² + (v₂')²

Substituting v₂' yields

226 m²/s² = 2 (v₁')² + (10.0 m/s - 2 v₁')²

which simplifies to

3 (v₁')² - (20.0 m/s) v₁' - 63.0 m²/s² = 0

Solving for v₁' using the quadratic formula gives two solutions,

v₁' ≈ -2.33 m/s   or   v₁' = 9.00 m/s

but the second solution corresponds to the initial conditions, so we omit that one.

Then the second ball has velocity

v₂' = 10.0 m/s - 2 (-2.33 m/s)

v₂' ≈ 14.7 m/s

two forces of magnitude 12 n and 24 n act at the same point. which force cannot be the resultant of these forces?

Answers

The force that cannot be the resultant of these forces is 10N since it is less than both given forces

Given the forces with a magnitude of 12N and 24N, the resultant of these forces must not be less than any of the two forces.

From the given options, the only force that is less than both 12N and 24 N is 10N.

Hence the force that cannot be the resultant of these forces is 10N since it is less than both given forces

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what role does gravity have in the motion of planets around the sun?

Answers

Answer:

The gravity helps the planets stay together near the Sun, without it Earth would be floating away with the planet eventually becoming frozen up, thus the role gravity have in the motion of planets around the sun is by keeping them together.

Explanation:

Hope this helps!

Which electromagnetic wave has a lowest frequency?
Group of answer choices

A) x-rays

B) ultraviolet light

C) microwaves

D) infrared light

E) visible light

Answers

Answer:

E.visible lights

Explanation:

hope its attachments

A ball falling from a height of 5 m was caught at some height after being reflected off the floor. Find the magnitude of the movement of the ball. If the distance traveled is equal to 7 meters.

Answers

Answer:

3m

Explanation:

I can't make a drawing right know, but it's all around vectors. First of all the ball travels down 5 meters, so we have a vector pointing down, then it is reflected and travels 2 meters up. You have to sum the vectors so you obtain that the distance traveled is: 5-2 meters = 3m

why does polishing the surface of a metal extend fatigue life

Answers

Answer:

they are machined with shape characteristics which maximize the fatigue life of a metal.

Explanation:

they are highly polished to provide the surface characteristics which enable the best fatigue life.

Starting with only the Balmer series light (visible light), how could we ensure that the solar panels generate a current that Mark can use for his power station? (It may help to look at the electromagnetic spectrum from week 3):.

Answers

We can ensure that the solar panels generate a current that Mark can use for his power station is by gradually increasing the brightness (amount) of light that we reflect on it.

Solar panel are photo-voltaic module or cells which means they uses sunlight as a source of energy to generate current.

when the sun rays hit a silicon crystal of the solar panel then the electron inside of the solar panel start to charge and travel rapidly. when such charged electron flow through the circuit then the solar panel generate electricity.

    So, to optimize the electricity generation, the energy of light is to be maximized which is determined by the frequency of the source.

Hence,  To ensure that the solar panels generate a current that Mark can use for his power station we need to gradually increase the brightness (amount) of light that we reflect on it.

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The slope of position-time graph represents

Answers

Answer:

The speed.

Explanation:

The slope of a line is that line's rate of change.  If a car is travelling at 20 km/hr and we plot distance vs time graph, the slope of that line will be 20.

economic importance of plant resources​

Answers

Answer:

People depend upon plants to satisfy such basic human needs as food, clothing, shelter, and health care. These needs are growing rapidly because of a growing world population, increasing incomes, and urbanization . Plants provide food directly, of course, and also feed livestock that is then consumed itself.

People depend upon plants to satisfy such basic human needs as food, clothing, shelter, and health care. These needs are growing rapidly because of a growing world population, increasing incomes, and urbanization . Plants provide food directly, of course, and also feed livestock that is then consumed itself.

Mars is 7.83x10^10m [^10 is an exponent] from planet earth. The planet Earth is 5.98x10^24kg [^24 is an exponent] while Mars has a mass of 6.42x10^23kg [^23 is an exponent]. What is the gravitational attraction between the two planets? G=6.67×10^-11 (-11 is an exponent)​

Answers

Answer:

Approximately [tex]4.18 \times 10^{16}\; \rm N[/tex].

Explanation:

Consider two objects of mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex]. Let [tex]r[/tex] denote the distance between the center of mass of each object. Let [tex]G[/tex] denote the gravitational constant. ([tex]G \approx 6.67 \times 10^{-11}\; {\rm m^{3}\cdot kg^{-1}\cdot s^{-2}}[/tex].)

By Newton's Law of Universal Gravitation, the size of gravitational attraction between these two objects would be:

[tex]\begin{aligned}F &= \frac{G\, m_{1}\, m_{2}}{r^{2}}\end{aligned}[/tex].

In this question, [tex]m_{1} = 5.98\times 10^{24}\; {\rm kg}[/tex] and [tex]m_{2} = 6.24 \times 10^{23}\; {\rm kg}[/tex] are the mass of the two planets. The distance between the two planets is [tex]r = 7.83 \times 10^{10}\; \rm m[/tex] (approximately the same as the distance between the center of mass of planet Earth and the center of mass of Mars.)

Apply Newton's Law of Universal Gravitation to find the size of gravitational attraction between the two planets:

[tex]\begin{aligned}F &= \frac{G\, m_{1}\, m_{2}}{r^{2}} \\ &= \frac{1}{(7.83 \times 10^{10}\; {\rm m})^{2}} \\ &\quad \times (6.67 \times 10^{11}\; {\rm m^{3} \cdot kg^{-1} \cdot s^{-2}}) \\ &\quad \times (5.98 \times 10^{24}\; {\rm kg}) \\ &\quad \times (6.42 \times 10^{23}\; {\rm kg}) \\ &\approx 4.18 \times 10^{16}\; {\rm kg \cdot m \cdot s^{-2}} \end{aligned}[/tex].

Since  [tex]1\; {\rm kg \cdot m \cdot s^{-2}} = 1\; {\rm N}[/tex], the size of gravitational attraction between the two planets would be approximately [tex]4.18 \times 10^{16}\; {\rm N}[/tex].

Suppose that the Sun started shrinking in size, without losing any mass. What would be the effect of the Sun's change on the orbits of the planets

Answers

Answer:

F = G M m / R^2 gravitational force on planet of mass m.

None of these quantities change in the given hypothesis so

there will be no change in the orbit of mass m

what does and does not impact magnetic force?

Answers

Answer:

Image result for what does and does not impact magnetic force?

The magnitude of the magnetic force between them depends on how much charge is in how much motion in each of the two objects and how far apart they are. The direction of the force depends on the relative directions of motion of the charge in each case

Explanation:

The factors that affect magnetic force are magnitude of the charge, speed, magnetic field and inclination of the field.

Magnetic force

The magnetic force on a charged particle moving in a magnetic field is determined using the following formula;

F = qvBsin(θ)

where;

q is the magnitude of the chargev is the speed of the chargeB is the magnetic fieldθ is the angle between the field and the speed of the charge

Thus, the factors that affect magnetic force are magnitude of the charge, speed, magnetic field and inclination of the field.

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The magnetic field 0. 02 m from a wire is 0. 1 T. What is the magnitude of the magnetic field 0. 01 m from the same wire? 0. 01 T 0. 05 T 0. 1 T 0. 2 T.

Answers

The magnitude of the magnetic field 0.01 m from the same wire is 0.2 T.

Given to us:

Magnetic field, [tex]B_1 = 0.1\ T[/tex]

Radius of wire, [tex]R_1 = 0.02\ m[/tex]

To find out the magnitude of the magnetic field 0. 01 m from the same wire, we need to find out current first. we will use the formula,

[tex]B = \dfrac{\mu_oI }{2\pi R},\\\rn\\where,\\B= magnetic\ field\\\mu_o = 4\pi\times 10^{-7} m\cdot kg\cdot s^{-2} A^{-2}\ is\ the\ magnetic\ constant\\I= current\\R= radius\ of\ the\ wire[/tex]

Putting the values,

[tex]B_1 = \dfrac{\mu_oI }{2\pi R_1},\\\rn\\\\0.1= \dfrac{4\times \pi \times 10^{-7}\times I}{2\times \pi\times0.02}\\\\I=10,000\ A[/tex]

Now, for [tex]B_2[/tex]

[tex]B_2 = \dfrac{\mu_oI }{2\pi R_2},\\\rn\\\\B_2= \dfrac{4\times \pi \times 10^{-7}\times 10,000}{2\times \pi\times0.01}\\\\B_2= 0.2\ T[/tex]

Hence, the magnitude of the magnetic field 0. 01 m from the same wire is 0.2 T.

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Which statement accurately describes how the acceleration of an object in free fall changes?
O A. It accelerates downward at a constant rate.
O
B. It accelerates downward at an increasing rate.
C. It accelerates downward at an irregular rate.
D. It accelerates downward at a decreasing rate.

Answers

Answer: A

Explanation: An object in free fall only is affected by gravity, so the acceleration is 9.8 m/s²

Which statement best explains the environmental drawback of using geothermal energy over energy generated by fossil fuels?

More cost-effective over time
Less pollution than fossil fuel plants
More energy plant locations available
Changes to regional landscapes

Answers

Answer:

Die Antwort lautet: Weniger Umweltverschmutzung als Kraftwerke mit fossilen Brennstoffen

Explanation:

hoffe das hat geholfen!! :))

Answer:

Changes to regional landscapes

Explanation:

It would be D because this is a cost or drawback and geothermal energy production would cause changes to the landscape, unlike how fossil fuels would.  I also got this right on the quiz.

Hope this helps!

please help quickly,the picture and choices are above.

Answers

Answer:

C because it make sens

C the light wave traveled through ice and then through a Dimond.

Which best describes how plant and animal cells carry out the basic functions of life?

A.
Plant and animal cells do not need food molecules for growth.

B.
Plant and animal cells do not make molecules for their own growth and repair.

C.
Plant and animal cells break down food for growth and repair.

D.
Plant and animal cells perform life functions such as making food molecules for growth.

Answers

the correct answer would be answer c ........

if the speed of a car is increased by 50%, bywhat factor will its minimum braking distance be increased, assuming all else is the same?

Answers

When the speed of a car increases by a factor of 50%, the minimum braking distance will also be increased by a factor.

Braking distance will increase by a factor  2.25

Solution

From Newton's equation of motion, we can say that;

v² = u² + 2as

Where initial velocity is zero, we have;

v² = 2as

s = v²/2a

s is the distance and v is the final speed.

50% increase in speed means it has increased by a factor of 1.50

Hence we have

1.50²v² is directly proportional to the 1.50²d

Distance = 1.50²v² = 2.25d

Hence, breaking distance will increase by a factor 3.0625

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what voltage is measured across the 15 ohm resistor

Answers

Answer: The voltage across resistor is 75 Volts

A 15-ohm resistor has a 5-A current in it. What is the voltage across the resistor?





What does it mean when a wave’s amplitude increases?
The wave’s wavelength gets longer.
The wave is moving through a denser medium.
The wave is carrying more energy.
The wave’s frequency also increases.

Answers

Answer:

the wave is carrying more energy

Explanation:

trust me broski

Answer:

a

Explanation:

29) A cheetah can accelerate from rest to 25
m/s in 6 s. Assuming that the cheetah moves
with constant acceleration, what distance does
it cover in the first 3 s

Answers

Answer:

[tex]\huge\boxed{\sf S = 18.75 \ meters}[/tex]

Explanation:

Given Data:

Initial Velocity = Vi = 0 m/s (rest)

Final Velocity for 6 seconds = Vf = 25 m/s

Time (1) = T1 = 6 seconds

Time (2) = T2 = 3 seconds

Required:

Distance for 3 seconds = S = ?

Solution:

For 6 seconds, the acceleration will be:

[tex]\displaystyle a = \frac{Vf-Vi}{t} \\\\a = \frac{25 - 0}{6} \\\\a = 25 / 6\\\\\boxed{a = 4.167 \ m/s^2}[/tex]

Since, acceleration is constant, it will be the same at 3 seconds as well.

Using second equation of motion to find Distance (S) with time being 3 seconds:

[tex]\displaystyle S= Vit+\frac{1}{2} at^2\\\\S = (0)(3)+ \frac{1}{2} (4.167)(3)^2\\\\S = \frac{1}{2} (4.167)(9)\\\\S = \frac{37.5}{2} \\\\\boxed{S = 18.75 \ meters}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

how did you identify the layer that belonged next to the cambrian layer?

Answers

Answer:

Morphology and phylogenetics revealed by fossils. Perhaps the strongest evidence to support the Cambrian evolutionary explosion of animal forms is the first clear appearance, in the Early Cambrian, of skeletal fossils representing members of many marine bilaterian animal phyla

Physics Practice Help just need an explanation really not looking for an answer

What variables would be required for a computational model that predicts change in the energy of a falling object?(1 point)

A.)Momentum, speed, mass
B.)Height, speed, mass
C.)Acceleration, speed, mass
D,) x, y, z

Answers

This question involves the concepts of the law of conservation of energy and kinetic energy.

The variables required for a computational model that predicts change in the energy of a falling object are "B.)Height, speed, mass".

According to the law of conservation of energy the change in energy can be given in the following form for a falling object:

Loss in Potential Energy = Gain in Kinetic Energy

[tex]mgh = \frac{1}{2}mv^2[/tex]

It is clear from the formula that the variables involved in the computational model are mass, height, and velocity.

Learn more about the law of conservation of energy hee:

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Answer:

b) height, speed, mass

Explanation:

just took the test

A single covalent bond is stronger than a single hydrogen bond so why does a group of polar molecules tend to have a higher boiling point than a group of non polar molecules

Answers

Answer:

this question makes no sense

Explanation:

like how do you get this question

Answer:They require more energy to break intermolecular forces hence polar molecules have higher melting points and boiling points than non-polar molecules of similar size, shape and number of electrons.

Explanation:


What happens to the gravity force if the mass of the planet is increased?

Answers

Answer:

The more mass an object has, the greater its gravitational field and gravity force will be.

Explanation:

gravity force = mass × gravitational field strength (g)

The more mass, the more g-force.

Which is a possible food chain in the ocean from start to finish?
a.phytoplankton, zooplankton, small fish, large fish, large shark
b.phytoplankton, large shark, zooplankton, large fish, small fish
c.large shark, large fish, small fish, zooplankton, phytoplankton
d.zooplankton, phytoplankton, large fish, small fish, large shark

Answers

Answer:

a.phytoplankton, zooplankton, small fish, large fish, large shark

Explanation:

The bottom level of the ocean's food chain is made up of one-celled organisms called phytoplankton. These tiny organisms are microscopic. They are so small they cannot be seen without a microscope. Billions of phytoplankton live in the upper part of the ocean. They take in the sun's light.

Phytoplankton, or plant plankton, is the first link in the food chain in the ocean. They require sunlight for photosynthesis, which they must perform. They therefore reside higher up in the shallow sunlight. Furthermore, they transform themselves into an ocean animal that can eat the “food” from the sun. Thus, option A is correct.

What food chain in the ocean from start to finish?

One-celled organisms known as phytoplankton make up the base of the ocean's food chain. These microscopic organisms are quite small. Without a microscope, they are invisible due to their small size. In the upper ocean, there are billions of phytoplanktons. They absorb the light from the sun.

Aquatic food webs are built on phytoplankton and algae. They are consumed by zooplankton, tiny fish, and crustaceans, which are the main consumers. Fish, tiny sharks, corals, and baleen whales all devour the primary consumers after them.

Therefore, phytoplankton, zooplankton, small fish, large fish, large shark  is a possible food chain in the ocean from start to finish.

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#SPJ2

The weak nuclear force causes:
(A). Lightning
(B). Combustion
(C). Radiation
D). Protons and neutrons to form the nuclear of atoms

Answers

Answer:

(C) Radiation

Explanation:

The weak nuclear forces causes radiation to form.

if a 5kg ball is traveling at 20 m/s and it’s stopped in 4s, what’s the impulse on the ball?

Answers

FT=MV

F(4)=(5)(20)

F= 100/4

F= 25 N

A 2-column table with 5 rows. The first column has entries empty, time of trial number 1 (seconds), time of trial number 2 (seconds), time of trial number 3 (seconds), average time (seconds). The second column labeled one quarter checkpoint has entries 2. 15, 2. 05, 02. 02, 02. 7. Use the table to answer the questions. What is the fastest time trial for the first quarter checkpoint? seconds What is the slowest time trial for the first quarter checkpoint? seconds What is the range of times measured for this checkpoint? seconds.

Answers

The fastest time trial for the first quarter checkpoint is 2.02 s.

The slowest time trial for the first quarter checkpoint is 2.7 s.

The range of the times measured for the checkpoint is 0.68 s.

The given parameters;

Time for quarter checkpoint, = 2.15, 2.05, 2.02, 2.7

The fastest time trial for the first quarter checkpoint is the least measured time value.

fastest time trial = least time measured

fastest time trial =  2.02 s

The slowest time trial for the first quarter checkpoint is the highest measured time value.

slowest time trial = 2.7 s

The range of the times measured for the checkpoint is difference between the fastest time and slowest time.

Range = fastest time - slowest time

Range = 2.7 - 2.02

Range = 0.68 s

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Answer:

2.02, 2.15, 0.13

Explanation:

A 2-column table with 5 rows. The first column has entries empty, time of trial number 1 (seconds), time of trial number 2 (seconds), time of trial number 3 (seconds), average time (seconds). The second column labeled one quarter checkpoint has entries 2.15, 2.05, 2.02, 2.07.

Use the table to answer the questions.

What is the fastest time trial for the first quarter checkpoint?

2.02

seconds

What is the slowest time trial for the first quarter checkpoint?

2.15 seconds

What is the range of times measured for this checkpoint?

0.13 seconds

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