Answer:
a
[tex]\theta = 23.32^o [/tex]
b
[tex] \mu_s = 0.27 [/tex]
c
[tex] s = 0.948 \ m [/tex]
Explanation:
From the question we are told that
The mass of the bag is [tex]m_b = 25.0 \ kg[/tex]
The normal force experienced is [tex]F_n = 225 \ N[/tex]
The maximum acceleration of the bag is [tex]a = 2.40 \ m/s^2[/tex]
Generally this normal force experience by the bag is mathematically represented as
[tex]F_n = mg cos \theta[/tex]
=> [tex]225 = (25 * 9.8) cos \theta[/tex]
=> [tex] 0.9183 = cos \theta[/tex]
=> [tex]\theta = cos^{-1}[0.9183][/tex]
=> [tex]\theta = 23.32^o [/tex]
Generally for the bag not to slip , it means that the frictional force is equal to the sliding force
[tex]F_f = F_s[/tex]
Hence [tex]F_f [/tex] is mathematically represented as
[tex]F_f = \mu_s * F_n [/tex]
While [tex]F_s [/tex] is mathematically represented as
[tex]F_s = m * a [/tex]
So
[tex] \mu_s * F_n = m * a [/tex]
=> [tex] \mu_s * 225 = 25 * 2.40 [/tex]
=> [tex] \mu_s = 0.27 [/tex]
Generally from the workdone equation we have that
[tex]KE_f - KE_i = W_f[/tex]
Here [tex]W_f[/tex] is the work done by friction which is mathematically represented as
[tex]W_f = m * g * \mu_k * s[/tex]
Here s is the distance covered by the bag
[tex]KE_f[/tex] is zero given that velocity at rest is zero
and
[tex]KE_i = \frac{1}{2} * m* v_i^2[/tex]
so
[tex] \frac{1}{2} * m* v_i^2 = m * g * \mu_k * s [/tex]
=> [tex] \frac{1}{2} * v_i^2 = g * \mu_k * s [/tex]
substituting 2.55 m/s for v_i and 0.350 for \mu_k we have that
[tex] \frac{1}{2} * 2.55^2 = 9.8 * 0.350 * s [/tex]
=> [tex] s = 0.948 \ m [/tex]
When listening to someone in trouble, you should be
10) Allen was curious about dog interaction at the dog park. He wondered if big dogs liked to play with big dogs and if little dogs liked to play with little dogs. After gathering information through research, he followed the scientific method by stating a ____________. This educated guess refers back to the original questions and is stated in such a manner that the results can be measured. A) experiment B) hypothesis C) problem D) procedure
Answer: B) hypothesis
Explanation:
Answer: B) Hypothesis
Explanation:
I got it right
Two blocks A and B with mA = 1.7 kg and mB = 0.88 kg are connected by a string of negligible mass. They rest on a frictionless horizontal surface. You pull on block A with a horizontal force of 7.9 N. (a) Find the magnitude of the acceleration (in m/s2) of the blocks. m/s2 (b) Determine the tension (in N) in the string connecting the two blocks. N (c) How will the tension in the string be affected if mA is increased? increase decrease remain the same
Answer:
A) 3.062 m/s2
B) 2.6946 N
C)
If ma is increased, acceleration will decrease if the applied force remains fixed
Explanation:
Ma =1.7 kg ( Block A )
Mb = 0.88 kg ( Block B )
Force applied = 7.9 N
a) Calculate the magnitude of acceleration of blocks
F = mass * acceleration
acceleration = Force / mass
mass = ( 1.7 + 0.88 ) = 2.58 kg
Force = 7.9 N
Therefore acceleration = 7.9 / 2.58 = 3.062 N/kg = 3.062 m/s2
B) Tension in the string
Tension in string can be calculated using the relationship below considering the first block
F - T = ma * A
A = 3.062 m/s2
ma = 1.7 kg
F = 7.9 N
Hence Tension (T) = F - ma * A
= 7.9 - ( 1.7 * 3.062)
= 7.9 - 5.2054 = 2.6946 N
C) If mA is increased, acceleration will decrease if the applied force remains fixed
A skier uses a pair of poles to push himself down a ski slope. Which of the following correctly states when the skier has the most potential energy? ( HELP WILL MARK YOU AS BRAINLIEST!!)
a
when the skier is at the top of the ski slope
b
when the skier starts to travel down the slope
c
when the skier reaches the bottom of the slope
d
when the skier comes to a complete stop at the bottom of the slop
The correct statement for the skier has the most potential energy is when the skier is at the top of the ski slope. Hence, option (a) is correct.
What is Potential Energy?Potential energy is a form of energy that is stored but is dependent on the size positions of different system components. Extending or contracting a spring increases its potential energy.
A specimen has much more potential energy when it is raised above the surface of the earth than when it is brought to Earth. It can conduct more work in the raised position. Potential energy is a system property, not a feature of a single entity or particle. For example, the system made up of Earth and the raised ball has greater potential energy as they are far apart.
The potential energy at the top of the ski slope will be maximum, while the kinetic energy at the top of the ski slope will be equal to zero.
Therefore, when he was at the top of the ski slope, the potential energy will be maximum.
To know more about Potential Energy :
https://brainly.com/question/24284560
#SPJ6
A car travels in a straight line for 5 h at a constant speed of 72 km/h. What is it’s acceleration
Answer:
[tex] a \approx \: 0.001 \: m {s}^{ - 2} [/tex]
Explanation:
Given:
[tex]initial \: velocity \: (u) = 0 \\ \\
Final \: Velocity \: (v) = 72 km /h \\ \\
Time \: (t) = 5 \: hours \\ \\
Acceleration \: (a) =? \\ \\
\because \: a = \frac{v - u}{t} \\ \\ \therefore \: a = \frac{72 - 0}{5} \\ \\ a = \frac{72}{5} \\ \\ a = 14.5 \: km {h}^{ - 2} \\ \\ a = \frac{14.5 \times 1000}{3600\times 3600} \: m {s}^{ - 2} \\ \\ a = 0.00111882716 \\ \\ a \approx \: 0.001 \: m {s}^{ - 2} [/tex]
3. A sample of argon of mass 6.56 g occupies 18.5 dm? at 305 K. (a) Calculate the work done when the gas expands isothermally against a constant external pressure of 7.7 kPa until its volume has increased by 2.5 dm'. (b) Calculate the work that would be done if the same expansion occurred reversibly.
Answer:
(a) [tex]W=-19.25J[/tex]
(b) [tex]W=-52.8J[/tex]
Explanation:
Hello.
(a) In this case, since the initial volume is 18.5 dm³ and the final volume is 21 dm³ (18.5 +2.5), we can compute the work at constant pressure as shown below:
[tex]W=-P\Delta V=-7.7kPa*\frac{1000Pa}{1kPa} (21dm^3-18.5dm^3)*\frac{1m^3}{1000dm^3}\\ \\W=-19.25J[/tex]
Which is negative as it expands against the given pressure.
(b) Moreover, of the process is carried out reversibly, the pressure can change, therefore, we need to compute the work via:
[tex]W=nRTln(\frac{V_1}{V_2} )[/tex]
Whereas the moles are computed from the given mass of argon:
[tex]n=6.56g*\frac{1mol}{39.95g}=0.164mol[/tex]
Thus, the work is:
[tex]W=0.164mol*8.314\frac{J}{mol*K} *305Kln(\frac{18.5dm^3}{21dm^3} )\\\\W=-52.8J[/tex]
Regards.
The work done at isothermal expansion is [tex]19.25 J[/tex] ,The work done where there is reverse expansion is [tex]52.7J[/tex]
From the question, we were givenas[tex](21 dm^3)[/tex]
But the Initial volume increased by [tex](2.5 dm^3),[/tex]
hence final volume= [tex](21 dm^3) + (2.5 dm^3) = 21dm^3.[/tex]
But[tex]1kpa=1000pa[/tex], and [tex]1cm^3=1000dm^3[/tex]
At constant pressure, we can get the workdone asW= -(P Δ V)
If substitute the values we have
[tex]=-[(7.7 *1000pa) *(21-18.5)*(0.001m^3)[/tex]
Then, Workdone [tex]= -19.25 J[/tex]
B) incase there is a reverse expansion, the workdone can be gotten as
[tex]W= nRTIn (V1/V2)[/tex]
[tex]R= 8.314J/mole.K[/tex]
[tex]T=305K[/tex]
we can get the moles from mass of argon and its molar mass. The mass= 6.56g, mm= 39.95gThen number of [tex]mole(n) = (6.56/39.95)* 1 mole= 0.164 mole.[/tex]
Then we can substitute into the formula
[tex]W= - 0.164*8.314*305In(18.5/21)[/tex]
[tex]=-52.7J.[/tex]
Therefore, the work done, when there is reverse expansion is -52.7J
Learn more at:https://brainly.com/question/13662169?referrer=searchResults
what kind of energy bombarded the seeds were included on the outside of the ISS?
Explanation:
ultraviolet radiation
Bombarded with energy
They stored the seeds in a single layer on the outside of the ISS behind a special kind of glass that let in ultraviolet radiation only at wavelengths between 110 and 400 nanometers
Select the correct answer.
Mike and Jenna watch a caterpillar form a cocoon. A few weeks later, they watch the cocoon break open and see a butterfly emerge from it. Why does the caterpillar need to turn into a butterfly?
a.to defend itself
b.to excrete waste
c.to have better access to food
d.to reproduce
Answer:d to reproduce
Explanation:
I took the test
Answer:
c
Explanation:
Explain how force (F=ma), momentum (p=mv), energy, and gravity play a part in a launching sequence.
If the mass bigger and the acceleration faster, the force is bigger(F = ma). The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force(p=mc) The gravity can affect the resultant force as weight when the object launch.
sorry if there's any grammar mistake
Bx = -1.33 m and By = 2.81 m.
Find the direction of the vector.
Answer:
Explanation:
The vector in unit vector notation is:
B = (-1.33m)i + (2.81m)j
To find the direction relative to the x-axis. Do inverse tangent of opposite/adjacent
[tex]tan^-^1=|\frac{2.81}{1.33}| = 2.11\\180-2.11=177.89[/tex]
This is relative to the positive x-axis
2.11 would be the correct answer if relative to the negative x axis
explain the three scale of temperature and their interconversion from one scale to another how will you convert 50 degree Celsius into Fahrenheit
Answer:
Explanation:
the scales of temperature are kelvin,celsius and fahrenheit so to interconvert them use the formula:
K-273/100 = C/100 = F-32/180
An overnight rainstorm has caused a major roadblock. Three massive rocks of mass m1=514 kg,m1=514 kg, m2=792 kg,m2=792 kg, and m3=322 kgm3=322 kg have blocked a busy road. The rocks are lined up from left to right in the order m1,m1, m2,m2, and m3.m3. The city calls a local contractor to use a bulldozer to clear the road. The bulldozer applies a constant force to m1m1 in order to slide the rocks off the road. Assuming the road is a flat, frictionless surface and the rocks are all in contact, what force, FA,FA, must be applied to m1m1 to slowly accelerate the group of rocks from the road at 0.250 m/s2?
Answer:
278.5 N
Explanation:
First, let us find the total mass to be moved. We add up all the given masses together.
The total mass to be moved, M
M = 514 + 792 + 322 = 1628 kg.
Next, we find the force that is applied to the blocks. Remember that F = ma, so
Force applied to all the blocks, F =
F = 1628 * 0.25 = 407 N
Now we find the force that was applied to only the first rock
F = 514 * 0.25 = 128.5 N
From this, we can get the remaining force that was applied to the last two rocks, by subtracting them from each other
F' = 407 - 128.5 = 278.5 N
A stretched catapult has potential energy
Answer:
No
Explanation:
The potential energy is associated with bodies that are above a reference point, at that reference point the value of potential energy is taken as zero. For example, if an object with a mass M is in a tower that is 140 meters high, its potential energy is defined as the product of the mass of the object by gravity and by the height at which the object is measured from the reference point.
Ep =m*g*h
When talking about elastic objects such as springs or elastic fibers, it is usually understood that there is an elastic potential energy associated with the constant of the spring. This can be calculated using the following equation:
[tex]U_{elas}=\frac{1}{2} *k*(Dx)^{2}[/tex]
where:
k = elastic constant of the elastic material [N/m]
Dx = distance stretched or compressed of the elastic material [m]
U = elastic energy [Joules]
So, there are differents between the elastic potential energy and the potential energy
The units of absolute permittivity of free space (εo) in S.I. are *
Answer:
farad per meter (F/m or F·m−1).
Explanation:
units of absolute permittivity of free space (εo) in S.I. are farad per meter (F/m or F·m−1).
A ship with an initial speed of 6.23 m/s approaches a dock that is 255 m
away. If the ship accelerates uniformly and comes to rest in 82 s, what is
its acceleration?
Answer:
a = 0.0761 [m/s^2]
Explanation:
This problem can be solved using kinematics equations, and by means of the following equation:
[tex]x=x_{0} +v_{0}*t-(\frac{1}{2} ) *a*t^{2}[/tex]
where:
Xo = initial location = 0
x = final location = 255 [m]
Vo = initial velocity = 6.23 [m/s]
t = time = 82 [s]
a = aceleration [m/s^2]
Since the ship slows down to rest, the last expression of the equation will be taken with a negative sign
255 = 0 + (6.23*82) - (0.5*a*82^2)
255 - (6.23*82) = - 3362*a
a = 0.0761 [m/s^2]
A car is going 24.6miles per hour what is this in meters per second?
Answer:
11 m/s
Explanation:
1 mile= 1609.3 m
Hence, 24.6 miles= 39589.8 metres
1 hour=3600 seconds
Hence, [tex]\frac{24.6 miles}{hour} \\=\frac{39589.5 metres}{3600 seconds} \\=10.99[approx. 11 m/s}[/tex]
18°C =
-255 К
OOK
О18 К
291 К
Answer:
I think the answer for this question is 291 K
A blimp is moving 10 m/s East when it begin so acceelation towards the East of 2 m/^2. how far will it go in 5 s?
A. 225m
B. 75m
C. 90m
D. 125m
Answer:c
Explanation:
The Laws of the Game are the rules for playing soccer.
A. True
B. False
Answer:
True
The answer is true but there is a character limit
Marus traveled on a motorcylce distance of 1,298meters north to get to the nearest shopping center. He then turned back south and rode another 1,250 meters to meet his friend. What was his displacement?
Answer:
48 meters north
Explanation:
If you measure the distance between the point Marus started and the point where they stopped after traveling 1,250 meters back south, you get 48 meters. To make this a displacement quantity, you add 'north' to the end and get 48 meters north, considering this was the initial direction of the motorcycle.
As a gasoline engine is running, an amount of gasoline containing 18,500 J of chemical potential energy is burned in 1 s. During that second, the engine does 3,700 J of work. (a) What is the engine's efficiency (in percent)? % (b) The burning gasoline has a temperature of about 4,400°F (2,700 K). The waste heat from the engine flows into air at about 82°F (301 K). What is the Carnot efficiency (in percent) of a heat engine operating between these two temperatures? %
Answer:
(a) Efficiency = 20%
(b) Efficiency = 88.8%
Explanation:
(a)
The efficiency of an engine is given by the following general formula:
Efficiency = Output/Input
Here, in this case:
Output = Work Done by Engine = 3700 J
Input = Chemical Potential Energy = 18500 J
Therefore,
Efficiency = 3700 J/18500 J
Efficiency = 0.2
Efficiency = 20%
(b)
the efficiency of a Carnot Engine is given by the following formula:
Efficiency = 1 - T₂/T₁
where,
T₁ = Source Temperature = 2700 K
T₂ = Sink Temperature = 301 K
Therefore,
Efficiency = 1 - 301 K/2700 K
Efficiency = 0.888
Efficiency = 88.8%
Please help me!!
Two people playing a game of table tennis make up a closed system with 12,175 J of energy. At the beginning of the game the system has 9,875 J of ME and at the end it has 8,430 J of ME. How much of the total energy was transformed into thermal energy during the game?
Answer it's 1,445 A
Explanation:
Basically 9,875 - what will give you 8,430 that's what's its asking. Its just a gap.
Answer:
A
Explanation:
Many scientists believe the solar system formed _______________ago, Question 1 options: over 4.5 billion years under 1 billion years over 500 billion years under 2.5 billion years
About 4.5 billion years ago, a dense cloud of interstellar gas and dust gave rise to our solar system.The supernova shockwave from a nearby exploding star, or supernova, may have caused the cloud to collapse.
The solar system is estimated to be 4.5 billion years old for a reason?
Radiometric dating methods have been used to determine the ages of more than 70 meteorites of various sorts.The findings indicate that the Solar System and meteorites both formed between 4.53 and 4.58 billion years ago.Scientists use meteorites, which were created during the early condensation of the solar nebula, to determine the age of the Solar System.Given that almost all meteorites have an age of 4.6 billion years (see the Canyon Diablo meteorite), the Solar System must be at least this ancient. Geologists and astronomers use a variety of dating methods to determine the age of the solar system and the Earth.We may determine the age of the Earth and the solar system using radiometric dating, which calculates the known rates of radioactive element decay. Around 4.5 billion years ago, when the solar system was still in its current configuration, the third planet from the Sun—Earth—was created when gravity drew spinning gas and dust in.Earth has a solid crust, a rocky mantle, and a central core, just like its sibling terrestrial planets. The solar nebula, a spinning disk-shaped cloud of gas, ice, and dust, is where the solar system originated 4.6 billion years ago.The solar nebula surrounding the protosun is where gas, ice, and dust that now make up the planets and other solar system junk were created. 4.6 billion years ago, the solar nebula, a cloud of gas and dust, gave rise to the Sun and the planets.The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion.The planets formed in a thin disk around the Sun, which formed in the center of the solar system.The Big Bang, an explosion of space, marked the beginning of our cosmos.Space expanded, the cosmos cooled, and the basic elements emerged from a very high density and temperature starting point.The first stars and galaxies were created as a result of the slow gathering of stuff by gravity.Over 4.6 billion years ago, a cloud of gas and dust was collapsing when our solar system was born.The sun and the planets developed over the following 600 million years, known as the Hadean Era by geologists, and Earth's oceans were likely generated by cometary impacts.To learn more about solar system refer
https://brainly.com/question/1286910
#SPJ2
One car travels 56 meters due east in 2.0 seconds, and a second car travels 84 meters due west in 3.0 seconds. During their periods of travel, the cars definitely had the same
They have narrowed down to two answer choices. Using your knowledge, help them decide which answer choice is correct. Explain your reasoning.
average speed
average velocity
Answer:
average speed
Explanation:
The directions were different, so the velocities could not be the same.
However, the magnitude of the velocity (speed) was 56/2 = 28 m/s for the first car, and 84/3 = 28 m/s for the second car. These average speeds are the same.
Use Newton's Laws to describe how inertia, gravity, and air resistance affect sky divers as they fall,
open their parachutes, and reach terminal velocity.
We already know from Newton's First Law that an object's inertia prevents it from changing velocity unless it experiences a net force, so once the forces are balanced, the skydiver continues at a constant velocity until they open their parachute.
How do Newton's laws apply to skydiving?According to Newton's Second Law, an object's acceleration equals the force of gravity divided by the object's mass. The skydiver first falls or accelerates down as a result of inertia and gravity. The sky diver falls at terminal velocity after opening the parachute, and the velocity becomes constant.The falling skydiver's net force and acceleration are both upward. A downward falling object would slow down if an upward net force was applied to it. As a result, the skydiver slows down. As the speed decreases, so does the amount of air resistance, until the skydiver reaches terminal velocity once more.To learn more about : Newton's Law
Ref : https://brainly.com/question/28171613
#SPJ2
Please help I’m about to fail
Answer:
B
Explanation:
The cost of manufacturing would have to be taken away from your profits becuase its costing you to build and get the materials. I believe this question is hard.
Your friend is flying a remote control jet in your yard, as seen in the diagram above. As it flies past you, you notice that the sound changes. You ask your friend to fly the jet
faster and fly it past you again. Which of the following changes would you expect as it flies towards you at a higher speed and why?
Answer: the pitch would be higher than it was at a lower speed because the air in front of the jet is compressed
A student examines the effect of the number of D batteries in a closed circuit on the brightness of a light bulb. In the experiment, four circuits were built with 1, 2, 3, and 4 batteries respectively. For each trial, the brightness of the light bulb was measured using a light meter. Which variable should the student keep constant?
the type of batteries
the number of batteries
the brightness of the light bulb
the data collected from the light meter
The correct answer is the Type of batteries
Explanation:
In an experiment, it is normal the researcher modifies one variable, in this case, the number of batteries (independent variable), and this variable affects the variable tested, in this case, the brightness of the bulb (dependent variable).
However, other factors or variables should be constant to guarantee the results are reliable. In this context, one factor that the student should keep constant is the type of batteries he uses because this is not one of the main variables and therefore it is not expected he changes this on purpose or this is affected by other variables. Moreover, by making any change the experiment can be negatively affected. For example, batteries might differ in their power capacity this can affect the brightness of the bulbs.
A projectile is launched at a 30° angle relative to the ground. The projectile has an initial velocity of 15 m/s and travels through the air for 2 seconds.
What is the horizontal displacement (rounded to the nearest hundredth) in m?
Answer:
The horizontal displacement of the projectile is 25.98 m
Explanation:
Given;
angle of projection, θ = 30°
initial velocity of the projectile, v = 15 m/s
time of flight, t = 2 seconds
The horizontal displacement or range is given by;
R = vₓt
where;
vₓ is the horizontal component of the velocity
t is the time of flight
R = (15cos30)(2)
R = 25.981 m
R = 25.98 m (to the nearest hundredth)
Therefore, the horizontal displacement of the projectile is 25.98 m
Answer:
25.98
Explanation:
I just took the quiz and I hope you pass.
Which statement describes an unanticipated impact of a technological
advance?
A. Continued research and development has produced white LED
lights that have gradually replaced traditional fluorescent and
incandescent bulbs.
O B. Artificial neural networks have been developed to allow doctors to
diagnose patients more quickly and accurately.
C. The development of antibiotics allowed people to be treated for
bacterial infections, but their overuse has led to strains of bacteria
that cannot be killed by available antibiotics.
D. The nonnative plant kudzu was brought to the United States in
order to curb erosion, but it destroys native plants.
Please help me
Answer: the development of antibiotics allowed people to be treated for bacterial infections, but their overuse had led to strains of bacteria that cannot be killed by available antibiotics
Explanation: I just took the test
