the free body diagram shown above is for a 5 kg box on a rough surface being pulled to the right at a constant speed by a string that is at an angle of 30° above the horizontal. the coefficient of kinetic friction between the box and the surface is 0.30. the tension in this string is most nearly:

Answers

Answer 1

The tension in the string pulling the box is most nearly 17 N.

The given parameters;

mass of the box, m = 5 kginclination of the string, θ = 30°coefficient of kinetic friction, μ = 0.3

The tension on the string is calculated by applying Newton's second law of motion as follows.

[tex]\Sigma F = ma[/tex]

at constant speed, acceleration, a, = 0

[tex]\Sigma F = 0\\\\T_x - \mu F_n = 0\\\\Tcos(\theta) - \mu F_n = 0\\\\Tcos(\theta)= \mu F_n\\\\T = \frac{\mu F_n}{cos(\theta)} \\\\T = \frac{0.3 \times 5 \times 9.8}{cos(30)} \\\\T = 16.97 \ N\\\\T \approx 17 \ N[/tex]

Thus, the tension in the string pulling the box is most nearly 17 N.

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Related Questions

What is the mass (in kg) of an object which accelerates at 3 m/s^2 when acted upon by a 15 N force?

Answers

Question :-

What is the mass (in kg) of an object which accelerates at 3 m/s^2 when acted upon by a 15 N force?

Required Solution :-

The mass of the object is 5 kg.

Provided that :-

The force applied on object is 15 N The acceleration is 3 m/s²

To Calculate :-

Mass of the body

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex] \longrightarrow \sf Mass = \dfrac{Force}{Acceleration }[/tex]

[tex]\longrightarrow \sf Mass = \dfrac{15}{3}[/tex]

[tex]\longrightarrow \sf Mass = \cancel{\dfrac{15}{3}} [/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Mass = 5 \: Kg }}}}}[/tex]

Henceforth :-

The mass of the object is 5 kg.

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a metal wire has a resistance of 13.00 at a temperature of 25.0 degree celsius

Answers

Explanation:

what exactly are you asking for?

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! :)

What is carbon dating?

Answers

Answer:

Im pretty sure its number 2

Explanation:

The first one a scientific way of finding the age of something that is very old (such as a dinosaur bone) by measuring the amount of certain forms of carbon in it

An ice skater at rest on ice catches a dance partner moving 1.5 m/s during a performance. The ice skater has a mass of 75 kg and the dance partner has a mass of 50 kg. What is the speed of the ice skater and dance partner after the collision?

Answers

I think it’s 5mph lllllll

What type of watches are used nowadays to measure time? Explain one of
them?

Answers

Answer:

Furthermore, some modern watches (like smart watches) even incorporate calculators, GPS and Bluetooth technology or have heart-rate monitoring capabilities, and some of them use radio clock technology to regularly correct the time. Most watches that are used mainly for timekeeping have quartz movements.

Explanation:

State one advantage and disadvantage of friction

Answers

Answer:

Advantage: Helps us to walk without slipping.Helps machines work

Disadvantage:

We slip on a wet floor.Causes the smoothness of tires and smoothness of shoes soul.

Will a dead animal decay faster if it died in the hot summer or in the cold winter?

Answers

Answer:

hot summer

Explanation:

it's common sense

Answer:

Hot summer

Explanation:

If the body is exposed to heat then it would decompose faster because the climate is more humid. Whereas if it was in the cold winter then it would decompose slower (not to mention that it could freeze causing it not to decompose at all).

What is the instruments used to measure light intensity, wind intensity and relative humidity ​

Answers

Answer:

we use : photometer to measure light intensity

:Anemometer to measure wind intensity

:Hygrometer to measure relative humidity

Please give an answer that is coherent
A ceiling fan operates at three speeds, using 120 V of electricity from the wall. At low speeds, it uses 0.25 A. Calculate the resistance needed to generate that current. Then in 1-2 sentences, describe how the resistance would change at medium and high speeds if larger currents are needed at those speeds. Your answer should include the calculated resistance and a sentence describing your reasoning.

Answers

Answer:

480

Explanation:

resistance equals to potential difference divide by electric current

120÷0.25

=480

Answer:

[tex]\mathsf {480 \Omega}[/tex]

Explanation:

[tex]\textsf {Formula used for calculating resistance :}[/tex]

[tex]\mathsf {Resistance = \frac{Voltage}{Current} }[/tex]

[tex]\textsf {This is otherwise known as Ohm's Law, hence the unit of resistance.}\\[/tex]

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {R = \frac{120}{0.25}}[/tex]

[tex]\implies \mathsf {R = 480\Omega}[/tex]

[tex]\textsf{If the fan uses higher current at higher speeds, then}\\\textsf{the resistance would decrease as it is inversely}\\\textsf {proportional to the current.}[/tex]

There are many isotopes of the element technetium (TC).
What do the nuclei of different technetium isotopes have in common?
[

Answers

Answer:

hikknn says he is not happy birthday hun

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.

You discover a planet orbiting a distant star that has about the same mass as the sun, with an orbital period of 53 days. What is the planet’s orbital distance?.

Answers

Answer:

G M1 m1 / R1^2 = G M2 m2 / R2^2          gravitational equation

We can try Kepler's harmonic law

P2^2 = K R2^3

P1^2 = K R1^3     for earth

(P2 / P1)^2 = (R2 / R1)^3       dividing equations

R2^3 = (P2 / P1)^2 * R1^3

R2^3 = (53 / 365)^2 * R1^3

R2^3 = .145 R1^3

R2 = .526 R1

If one uses 93E6 miles as distance of sun from earth then

R2 = 49E6 miles

You find a rock that is about 20 grams large. This rock contains about 10 grams of Uranium-235 and 10 grams of the element it decays into (Thorium-231). The half life of Uranium-235 is 700 million years. How old is this rock?

Answers

The age of the given rock is 700 million years.

The given parameters;

original mass of the rock, = 20 gmass of the rock remaining after decay, = 10 ghalf life of Uranium, [tex]t_{1/2}[/tex] = 700 years

age of the rock ----------------------------- mass remaining

0 [tex](t_0)[/tex]  -------------------------------------------  20 g

1 half life ([tex]1 \ t_{1/2}[/tex] ) ------------------------------ 10 g

Age of the rock [tex]= t_{1/2} - t_0 = 700 \ - 0 = 700 \ million \ years[/tex]

Thus, the age of the given rock is 700 million years.

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What is the kinetic energy of a 3-kilogram bali that is rolling at 2 meters per second

Answers

6 jules


hope this helps

Answer:

6J

Explanation:

simply apply kinetic energy definitoon:

[tex]k = \frac{1}{2} mv {}^{2} = \frac{1}{2} 3 \times 2 {}^{2} = 6[/tex]

How does the distance between the planet and the Sun affect its period?

Answers

Answer:

The closer a planet is to the sun, the shorter its period of revolution. The farther away a planet is from the sun, the longer its period of revolution.

Explanation:

i hope that helps, have a great day.

Answer:

The closer a planet is to the sun, the shorter its period of revolution. The farther away a planet is from the sun, the longer its period of revolution. so it depends on how close and how far it is to have a different time period. so if the if it is close then the period of revolution will be shorter because they need more space to have a longer period. if it is spaced out then it will have a longer period because they do have space.

Explanation:

A ball is projected at an immovable wall with a speed vi and bounces back the wall in such a manner that it only has 1/3 of its original linear momentum. a) Determine what fraction of the kinetic energy is lost in the collision.

Answers

The fraction of the kinetic energy of the ball lost during the collision is [tex]\frac{1}{3}[/tex].

The given parameters;

initial speed of the ball, = vifinal momentum of the ball, Pf = ¹/₃Pi

The initial and final momentum of the ball is calculated as;

[tex]P_i = m_ivi[/tex]

[tex]P_f = m_fv_f = \frac{1}{3} m_iv_i[/tex]

The initial and final kinetic energy of the ball is calculated as;

[tex]K.E_i = \frac{1}{2} m_iv_i^2 = \frac{1}{2} P_iv_i\\\\K.E_f = \frac{1}{2} m_fv_f^2= \frac{1}{2} (\frac{1}{3} P_iv_i)= \frac{1}{6} P_iv_i[/tex]

The change in the kinetic energy is calculated as;

[tex]\Delta K.E = K.E_f - K.E_i \\\\\Delta K.E = \frac{1}{6} P_iv_i - \frac{1}{2} P_iv_i = \frac{1}{3} P_iv_i[/tex]

Thus, the fraction of the kinetic energy of the ball lost during the collision is [tex]\frac{1}{3}[/tex].

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In motion pictures, what do you call the lens manipulation where the focus quickly changes from one subject to the next in a motion picture

Answers

Answer:

A film transition is a technique used in the post-production process of film editing and video editing by which scenes or shots are combined. Most commonly this is through a normal cut to the next shot. Most films will also include selective use of other transitions, usually to convey a tone or mood, suggest the passage of time, or separate parts of the story. These other transitions may include dissolves, L cuts, fades (usually to black), match cuts, and wipes.

Explanation:

if acceleration due to gravity is 10m/s², what will be the potential energy of a body of mass 2 kg kept at a height of 5 meter ?​

Answers

Answer:

50J

Explanation:

Ep = mgh

Here,

m = 1kg; g = 10 m/s2; h = 5m

So, Ep = 1kg*10m/s2*5m

= 50J

So, the potential energy is 50J (Ans).

Where could light travel the easiest and fastest?

A) through air
B) through empty space
C) through liquid hydrogen

Answers

Explanation:

Light travels fastest through air

Answer:

try through air

Explanation:

helpp I'll give brainliest smth
Why there has to be a driving force to keep the car moving at a constant speed?​

Answers

Explanation:

For example, when a car travels at a constant speed, the driving force from the engine is balanced by resistive forces such as air resistance and friction in the car's moving parts. ... an object falling at terminal velocity experiences the same air resistance as its weight.

Using your outline and the materials you’ve gathered, write a 500- to 750-word paper using word processing software. Be sure to proofread and revise your writing to catch any errors in grammar, spelling, logic, or organization. Add a works cited page at the end to give credit to your sources. Submit your completed paper along with this activity to your teacher for evaluation.

please do it based off of Werner Heisenberg the scientist.

Answers

Answer:

im half new how does this work

Explanation:

Answer:Werner Heisenberg was born on 5th December, 1901, at Wurzburg. He was the son of Dr. August Heisenberg and his wife Annie Wecklein. His father later became Professor of the Middle and Modern Greek languages in the University of Munich. It was probably due to his influence that Heisenberg remarked, when the Japanese physicist Yukawa discovered the particle now known as the meson and the term “mesotron” was proposed for it, that the Greek word “mesos” has no “tr” in it, with the result that the name “mesotron” was changed to “meson”.Heisenberg went to the Maximilian school at Munich until 1920, when he went to the University of Munich to study physics under Sommerfeld, Wien, Pringsheim, and Rosenthal. During the winter of 1922-1923 he went to Göttingen to study physics under Max Born, Franck, and Hilbert. In 1923 he took his Ph.D. at the University of Munich and then became Assistant to Max Born at the University of Göttingen, and in 1924 he gained the venia legendi at that University.From 1924 until 1925 he worked, with a Rockefeller Grant, with Nlels Bohr, at the University of Copenhagen, returning for the summer of 1925 to Göttingen.In 1926 he was appointed Lecturer in Theoretical Physics at the University of Copenhagen under Nlels Bohr and in 1927, when he was only 26, he was appointed Professor of Theoretical Physics at the University of Leipzig.In 1929 he went on a lecture tour to the United States, Japan, and India.In 1941 he was appointed Professor of Physics at the University of Berlin and Director of the Kaiser Wilhelm Institute for Physics there.At the end of the Second World War he, and other German physicists, were taken prisoner by American troops and sent to England, but in 1946 he returned to Germany and reorganized, with his colleagues, the Institute for Physics at Göttingen. This Institute was, in 1948, renamed the Max Planck Institute for Physics.In 1948 Heisenberg stayed for some months in Cambridge, England, to give lectures, and in 1950 and 1954 he was invited to lecture in the United States. In the winter of 1955-1956 he gave the Gifford Lectures at the University of St. Andrews, Scotland, these lectures being subsequently published as a book.During 1955 Heisenberg was occupied with preparations for the removal of the Max Planck Institute for Physics to Munich. Still Director of this Institute, he went with it to Munich and in 1958 he was appointed Professor of Physics in the University of Munich. His Institute was then renamed the Max Planck Institute for Physics and Astrophysics.

an object initially moving with 12m/s accelerates uniformly by3m/s^2 for 10 seconds how far does it travel in first 7 seconds​

Answers

Answer:

157.5

Explanation:

X=vi *t + 0.5*a*t^2

vi=12, t=7, a=3

x= 12*7 + 0.5*3*7^2

= 84+ 73.5= 157.5 m

If your neighbor leaves his house, walks 2 miles south, then turns around and walks home, what is his displacement?

Answers

Answer:

0

Explanation:

The neighbors displacement is 0 as displacement is how far the person is from their starting location. If they walk 2 miles away and then head back those 2 miles back to their house; 2-2=0

0 because displacement is a state function!!!

This means that it is where he started vs. where he ended up, it doesn’t matter the steps in between!!

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)20 m/s
B) 9.8 m/s
C) 2.0 m/s
D) 4.9 m/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

what is the name of the spot where man first walked on the moon

Answers

Answer:

the tranquility base

Explanation:

Tall trees collapse in stoms, why?​

Answers

Answer: One main reason, all three experts agree, is the phenomenon known as “windthrow” which uproots a tree. “The tree trunk acts as a lever and so the force applied to the roots and trunk increases with height,” says Foster. “Taller trees are more susceptible to windthrow.”

When waves are closer together and there are more waves, then the wave has a higher ____________.

Answers

Answer:

When waves are closer together and there are more waves, then the wave has a higher frequency.

Explanation:

Hoped this helped.

Answer:

frequency

Explanation:

helppp mee pllleasse

Answers

Answer:

up swelling moves water horizontally


1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?

Answers

The amount of potential energy the block contains is 2,822.4 Joules

Given the following data:

Mass of block = 12 kgHeight of platform = 24 meters.

We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].

To determine the amount of potential energy the block contains:

Mathematically, potential energy (P.E) is given by the formula;

[tex]P.E = mgh[/tex]

Where:

m is the mass of object.g is the acceleration due to gravity.h is the height of an object.

Substituting the parameters into the formula, we have;

[tex]P.E = 12 \times 9.8 \times 24[/tex]

Potential energy (P.E) = 2,822.4 Joules

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