Given:
The mass on the incline, m=4.0 kg
The hanging mass, M=5.0 kg
The angle of inclination, θ=40°
The acceleration of the masses, a=1.50 m/s²
To find:
The tension on the string and the coefficient of friction between the incline and the mass on it.
Explanation:
As the pulley and the string is massless and the pulley is frictionless, the acceleration of both masses is the same. And the tension in both parts of the string is the same too.
Let us assume that T is the tension in both parts of the string.
The net force acting on the hanging mass is given by,
\(F_M=Ma=Mg-T\)Where g is the acceleration due to gravity and T is the tension in the string.
On rearranging the above equation,
\(\begin{gathered} T=Mg-Ma \\ =M(g-a) \end{gathered}\)On substituting the known values,
\(\begin{gathered} T=5.0(9.8-1.50) \\ =41.5\text{ N} \end{gathered}\)The net force on the mass on the incline is given by,
\(\begin{gathered} F_m=ma=T-mg\sin\theta-f \\ =T-mg\sin\theta-mg\cos\theta\mu \end{gathered}\)Where f is the frictional force and μ is the coefficient of friction.
On rearranging the above equation.,
\(\mu=\frac{T-mgsin\theta-ma}{mg\cos\theta}\)On substituting the known values,
\(\begin{gathered} \mu=\frac{41.5-4.0\times9.8\times\sin40\degree-4.0\times1.50}{4.0\times9.8\times\cos40\degree} \\ =0.34 \end{gathered}\)Final answer:
The tension in the string is 41.5 N
The coefficient of the friction between the incline and the mass is 0.34
A car moves with an average speed of 45 miles/hour. How long will it take the car to travel 90 miles?
A ball with an initial velocity of zero is dropped from a table onto the ground. After 2 s, the
ball hits the ground. Approximately how fast is the ball traveling when it hits the ground?
10m/s
20m/s
30m/s
40m/s
Final velocity=v
\(\\ \sf\longmapsto v=u+at\)
\(\\ \sf\longmapsto v=0+10(2)\)
\(\\ \sf\longmapsto v=20m/s\)
Answer to your question is 20 m/s got it right on the test :)
A geologist notices that a river is eroding its valley at a constant rate. Knowing the height of the valley walls, how could the geologist figure out when the river started carving the valley?
A.
Count growth rings of trees growing on the valley floor.
B.
Divide the height of the valley walls by the rate of erosion.
C.
Fill up the river valley with rocks, and time how long it takes the rocks to wash out.
D.
Sit and observe the river for a few hours until the valley walls double in height.
Answer:
B.
Divide the height of the valley walls by the rate of erosion.
Explanation:
There is a relationship between the rate of erosion and the hieght at which it is eroded according to Newton's law of motion. In the case of the scenario above, the best way to determine the time the river started carving the valley would be the division of the height of the valley walls by the rate of erosion.
Two city buses are traveling at 24 miles per hour. The buses are the same model and year. One bus has 30 passengers. The other bus has 12 passengers. Which is the best prediction?
A. The buses’ kinetic energies will depend on their routes.
B. The bus with 12 passengers will have less kinetic energy.
C. The bus with 30 passengers will have less kinetic energy.
D. The buses will have the same amount of kinetic energy.
The bus with 12 passengers will have less kinetic energy.
option B.
What is kinetic energy?The kinetic energy of an object is the energy possessed by an object due to its motion.
Mathematically, the formula for kinetic energy is given as;
K.E = ¹/₂mv²
where;
m is the mass of the objectv is the speed of the objectThe bus with greater number of passengers will have more kinetic energy and vice versa.
Thus, the bus with 12 passengers will have less kinetic energy and the bus with 30 passengers will have more kinetic energy.
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An ocean wave energy device moves up and down with the motion of an ocean wave. The device produces more energy if larger waves move the device. Which property of waves does the wave energy device use the most?
A) amplitude
B) frequency
C) volume
D) wavelength
Answer:
it is D and B because they are both indicators
A child uses one hand to charge a balloon by rubbing it against her shirt. She then holds a rod in her other hand and finds that the balloon and rod, when brought close to one another, repel. Which one of the following is true?
a. the rod must be a conductor
b. the rod must be an insulator
c. it could be either
Answer:
B. The rod must be an insulator
Explanation:
We have that this rod must be an insulator. After this child rubbed the balloon, the balloon acquired static charge. So holding a rid against it is going to cause it to repel, this is to say it is repelling because the rod also is carrying some static charges. If this rid was a conductor, there would be no charge in its surface. The charge would have passed through her hand as it comes in contact.
tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
A. 0.475 inch
B. 47.5 inches
C. 475 inches
D. 4,750 inches
Answer:
b
Explanation:
Explain the differences among the mechanical energy of a ball, its thermal energy, and its temperature.
The sound from a clarinet at a distance of 5 m from a sound level meter is found to be 52 dB. If
the frequency is 1000 Hz, find (a) the sound loudness level in phons, (b) the sound intensity in
watts/meter2, and (c) the power of the source in watts.
There are 90 phones of volume, 10-7 W/m2 of sound intensity, and 0.0314 watts of source power.
Which frequency is the simplest?A straightforward frequency analysis compares the values of the fields you provide and generates a report listing each value for those fields along with the frequency at which each value occurs.
How often does sound occur?The rate at which a sound power wave repeats itself, also known as frequency or pitch, is measured in cycles per second. Bullfrog calls and cricket chirps have lower frequencies than drum beats and whistles, respectively.
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answer and solution to this question
Frequency= 30 Hz, Period= 0.0333 s, Wave Number=15.708 rad/m, Wave Function= y(x, t) = 0.05 sin(15.708x - 94.248t), Transverse displacement= -0.013 m, Time= 0.297 s.
How to calculate the frequency?(a) To find the frequency (f), we can use the equation: wave speed = frequency x wavelength. Rearranging this equation, we get:
frequency = wave speed / wavelength
Substituting the given values, we get:
frequency = 12 m/s / 0.4 m = 30 Hz
Therefore, the frequency of the wave is 30 Hz.
To find the period (T), we can use the equation:
period = 1 / frequency
Substituting the frequency value we just calculated, we get:
period = 1 / 30 Hz = 0.0333... s (rounded to four decimal places)
Therefore, the period of the wave is approximately 0.0333 s.
To find the wave number (k), we can use the equation:
wave number = 2π / wavelength
Substituting the given values, we get:
wave number = 2π / 0.4 m = 15.708 rad/m (rounded to three decimal places)
Therefore, the wave number of the wave is approximately 15.708 rad/m.
(b) The wave function for a transverse wave on a string is given by:
y(x, t) = A sin(kx - ωt + φ)
where A is the amplitude, k is the wave number, x is the position of the point on the string, t is the time, ω is the angular frequency, and φ is the phase constant.
We already know the values of A, k, and ω from the previous calculations. To find φ, we can use the given initial condition: "at t = 0 end of the string has zero displacement and is moving upward". This means that y(0,0) = 0 and ∂y/∂t(0,0) > 0. Substituting these conditions into the wave function, we get:
0 = A sin(0 + φ)
∂y/∂t = -Aω cos(0 + φ)
Since sin(0 + φ) = sin(φ) = 0 (because sin(0) = 0), we get:
φ = nπ, where n is an integer
Since cos(0 + φ) = cos(φ) = 1 (because cos(0) = 1) and ∂y/∂t(0,0) > 0, we get:
n = 0 or 2
Therefore, the possible values of φ are 0 or 2π.
Substituting the values of A, k, ω, and φ, we get:
y(x, t) = 0.05 sin(15.708x - 94.248t)
Therefore, the wave function describing the wave is:
y(x, t) = 0.05 sin(15.708x - 94.248t)
(c) To find the transverse displacement of a wave at x = 0.25 m and t = 0.15 s, we can use the wave function we just found:
y(0.25, 0.15) = 0.05 sin(15.708(0.25) - 94.248(0.15))
y(0.25, 0.15) ≈ -0.013 m (rounded to three decimal places)
Therefore, the transverse displacement of the wave at x = 0.25 m and t = 0.15 s is approximately -0.013 m.
(d) To find how much time must elapse from the instant in part (c) until the point at x = 0.25 m has zero displacement,
From part (c), we know that the transverse displacement of the wave at x = 0.25 m and t = 0.15 s is approximately -0.013 m. We need to find the time it takes for this point to return to zero displacement.
We can use the wave function we found in part (b) and set y(0.25, t) = 0:
0 = 0.05 sin(15.708(0.25) - 94.248t)
Since sin(θ) = 0 when θ = nπ (where n is an integer), we get:
15.708(0.25) - 94.248t = nπ
Solving for t, we get:
t = (15.708(0.25) - nπ) / 94.248
To find the smallest positive value of t that satisfies this equation, we need to use the smallest positive value of n that makes the right-hand side of the equation positive (because we want to find the time it takes for the point at x = 0.25 m to return to zero displacement, which happens after the point has completed a full cycle). We can see from the equation that n must be an even integer to make the right-hand side positive. The smallest even integer greater than zero is 2. Substituting n = 2, we get:
t = (15.708(0.25) - 2π) / 94.248
t ≈ 0.297 s (rounded to three decimal places)
Therefore, the time it takes for the point at x = 0.25 m to return to zero displacement is approximately 0.297 s.
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A parallel-plate capacitor consists of two plates, each with an area of 29 cm2cm2 separated by 3.0 mmmm. The charge on the capacitor is 7.8 nCnC . A proton is released from rest next to the positive plate. Part A How long does it take for the proton to reach the negative plate
Answer:
t = 2.09 10⁻³ s
Explanation:
We must solve this problem in parts, first we look for the acceleration of the electron and then the time to travel the distance
let's start with Newton's second law
∑ F = m a
the force is electric
F = q E
we substitute
q E = m a
a = \(\frac{q}{m} \ E\)
a = \(\frac{1.6 \ 10^{-19}}{ 9.1 \ 10^{-31} } \ 7.8 \ 10^{-9}\)
a = 1.37 10³ m / s²
now we can use kinematics
x = v₀ t + ½ a t²
indicate that rest starts v₀ = 0
x = 0 + ½ a t²
t = \(\sqrt{\frac{2x}{a} }\)
t = \(\sqrt{\frac {2 \ 3 \ 10^{-3}}{ 1.37 \ 10^3} }\)
t = 2.09 10⁻³ s
a wave travels one complete cycle in20sec and has wavelength of 1000mm.what is the speed
Answer:
20000
Explanation:
Speed = Wavelength x Wave Frequency. In this equation, wavelength is measured in meters and frequency is measured in hertz (Hz), or number of waves per second. Therefore, wave speed is given in meters per second, which is the SI unit for speed.
Runners in the 100 metre dash have complained that the runner nearest the gun has an unfair advantage.
What might this advantage be?
The advantage that the runner nearest the gun in the 100-meter dash might have is known as the "reaction time advantage."
What is reaction time advantage?A reaction time advantage is known to allow runners in a race to be agile and efficient when it comes to responding to stimuli in situations like driving, playing sports, or even having a conversation.
It is believed that the runner closest to the gun has a shorter distance for the sound wave to travel which might result in a slightly quicker reaction time in comparison to the other runners.
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A 300-Watt electric wheelchair has a mass of 50 kg and carries its 50 kg occupant at a constant velocity up a long ramp. About how much time does it take the wheelchair to reach the top of 10 meters high ramp?
The time taken for the wheelchair to reach the top of the ramp will be 32.7 seconds.
What is Power?Power is the time rate at which work is accomplished.
Energy divided by time is a rate of work because, the energy is a change in energy and a change in energy equals to workdone.
Power = Workdone/Time taken
P = (mgh)/t
Where;
Power = 300watts
m = 50kg + 50kg
m = 100kg
g = 9.8m/s2
h = 10 meters
300 = (100 x 9.8 x 10) / t
t = 9800/300
t = 32.7seconds
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What is a pendulum?
A.)A pendulum is a grandfather clock.
B.)A pendulum is a mass suspended on the bottom of a string.
C.)A pendulum is several weights tied together and arranged in a circle.
D.) A pendulum is the time it takes for a bob to swing back and forth one time.
B) A pendulum is a mass suspended on the bottom of a string.
A pendulum is a simple mechanical device that consists of a mass (known as the bob) suspended from a fixed point by a string, wire, or rod. When the bob is pulled to one side and released, it swings back and forth under the influence of gravity, forming a regular pattern of motion. The time it takes for the pendulum to complete one full swing (i.e., from one extreme position to the other and back again) is known as its period. The period of a pendulum is affected by the length of the string and the strength of gravity. The longer the string, the longer the period, and the stronger the gravity, the shorter the period.Pendulums have a wide range of practical applications, such as timekeeping, as seen in grandfather clocks. They are also used in scientific experiments to measure time intervals and gravitational acceleration.
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Sample Response: If a solution is an acid, then it will have a pH below 7, and if the solution is a base, it will have a pH above 7 since the pH value is determined by the concentration of H+ and OH– ions. What did you include in your hypothesis? Check all that apply. The “if” part of your hypothesis refers to the physical characteristics of the solution. The “then” part of your hypothesis refers to a measureable difference in pH. The “because” portion of your hypothesis connects the ideas of pH and H+ concentration.
The statement included in the hypothesis are as follows:
The “if” part of your hypothesis refers to the physical characteristics of the solution.The “then” part of your hypothesis refers to a measureable difference in pH. What is hypothesis?Hypothesis in an experiment is a tentative conjecture explaining an observation, phenomenon or scientific problem that can be tested by further observation, investigation and/or experimentation.
A hypothesis in an experiment is also referred to as an educated guess because it predicts the outcome of an observation that can be tested via experimentation.
According to this question, a hypothesis was given in the IF, THEN format as follows:
IF a solution is an acid, THEN it will have a pH below 7, and if the solution is a base, it will have a pH above 7 since the pH value is determined by the concentration of H+ and OH– ions.
The above hypothesis connects pH of a solution to the acidic or alkaline nature of the solution. The IF part explains the characteristics of the solution while the THEN part throws more light on the measurable variable, which is the pH.
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What is the most dangerous electromagnetic wave?
Answer:
Gamma Rays
Explanation:
Because it has the most energetic radiation and could penetrate through six feet of concrete. It is so strong it can damage your dna.
Can someone plz help me with my project on soil? I will give brainliest.
Answer:
Conservation Tillage preparation of soil by digging, stirring, and overturning.
Pros: reducing soil erosion, reducing the costs of soil preparation and conserving soil moisture
Cons: you will always need herbicides for weed management, planting may be delayed because of wet or cool soil temperatures. You will always have problems with weed ,insects, and plant disease.
hope that helps you
Explanation:
zeugen and yardang differences
Answer:
Yardangs are formed on vertical strata while zeugen on horizontal strata. ... Yardangs are formed on vertical hard/soft layers of rock, while zeugen (this is its plural form) are formed on horizontal bands of hard/soft rocks giving it a more mushroom-like shape. The Great Sphinx of Giza has been sculpted in a yardang
how can students earn a GED
Answer:
How Can You Earn Your GED?
You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. ...You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass).>Rules
You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. You should also meet state eligibility requirements for the amount of time you've been out of high school. In some states, you have to be out of high school for at least 60 consecutive days before you're allowed to take the test. Contact the program administrator in your state for more details.
You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass). Scores range from 100 to 200 on the 2014 version). A score of 165 on each test is the benchmark for college and career readiness, and you will receive an Honors distinction if you reach this score. The four tests take seven and a half hours total and are administered by computer. You don't have to take them all on the same day, but some states enforce specific time frames for completing the tests. Most questions are multiple choice, although there is also a mix of fill-in-the-blank, drag and drop, and select-an-area questions, as well as an essay question on the Reasoning Through Language Arts section.
If you don't pass a test the first time around, you can retake it, although different states have different requirements for people who need to retake GED tests (such as additional fees or proof of attending a preparation class). Testing accommodations are available for those with disabilities; you can sign up for them through your online account after you register. You usually have to pay to sign up for the tests, but the cost varies from state to state. After you take each test, you will receive your scores within 24 hours. Here are some more details about the score report.
Explanation:
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A horizontal 810-N merry-go-round of radius 1.70 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.0 s. (Assume it is a solid cylinder.)
The kinetic energy of the merry-go-round after 2.0 s is 146.44 J, when assumed it is a solid cylinder. The calculation is stated below:
What is kinetic energy?Kinetic energy is the energy that a moving item possesses. However, an item can only be accelerated through the application of a force. Applying force requires effort on our part. Following completion of the work, energy is transferred to the object, which then moves at a new, constant speed.
Given:
Mass of merry-go-round; m = weight / g
= 810 / 9.8
= 82.65 kg
radius r = 1.70 m
torque applied τ = r × F
= 1.70 × 55
= 93.50 N - m
Moment of inertia (of cylinder) I = (1/2) × m × r²
= 0.5 × 82.65 × 1.702
= 119.43 kg-m²
angular acceleration α = τ / I
= 93.50 / 119.43
= 0.783 rad/s²
According to first equation in angular motion,
final angular velocity is
ω = ω₀ + α × t
ω = 0 + 0.783 × 2.0
= 1.566 rad/s
Hence k.e. after 2 seconds
K = (1/2) × I × ω²
= 0.5 × 119.43 × 1.5662
= 146.44 J
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Calculate the absolute pressure at an ocean depth of 1.0 x 10³ m. Assume that the density of the water is 1.025 x 10³ kg/m³ and that Po = 1.01 x 10^5 Pa.
The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.
What is hydrostatic pressure?Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.
The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:
P = ρgh + Po
where:
P is the absolute pressure at the given depth
ρ is the density of the water
g is the acceleration due to gravity (assumed to be 9.81 m/s²)
h is the depth of the ocean
Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)
Substituting the given values, we get:
P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa
P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa
P = 1.002 x 10^8 Pa.
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A 2000 kg car moves at a speed of 30 m/s. To reach this speed, it was necessary to burn 0.1 l of gas. Burning gas provides 30 MJ/l of source energy. Determine the energy efficiency (in %) of this car.
The energy efficiency of the car is approximately 16.7%.
The energy efficiency of a car is the ratio of the useful work output (in this case, the kinetic energy of the car) to the total energy input (in this case, the energy released by burning the gasoline). The equation for energy efficiency is:
Efficiency = Useful work output / Total energy inputThe useful work output can be calculated as the kinetic energy of the car using the equation:
KE = 0.5mv²where m is the mass of the car and v is its velocity.
Substituting the given values:
KE = 0.5 x 2000 kg x (30 m/s)² = 900,000 JThe total energy input is the energy released by burning 0.1 L of gasoline, which is:
Total energy input = 0.1 L x 30 MJ/L = 3 MJ = 3,000,000 JSubstituting these values into the equation for efficiency:
Efficiency = (900,000 J / 3,000,000 J) x 100% = 0.3 x 100% = 16.7%Therefore, the energy efficiency of the car is approximately 16.7%.
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please help me, i need to show my work but im dont know how
in a generator as the magnet spins opposite poles of the magnet push the electrons in opposite directions this back and forth movement of electrons is called
Answer: In a generator, the back and forth movement of electrons as the magnet spins and opposite poles of the magnet push the electrons in opposite directions is called Alternating Current (AC).
Explanation:
Answer:
alternating current and direct current
Explanation:
yall some of these questions arent that hard, use common sense
Which elastic modulus describes the relationship between stress and strain for a block of iron sliding across a horizontal floor? The friction force between the sliding block and the floor causes the block to deform.
A. Young's Modulus
B. Shear Modulus
C. Bulk Modulus
D. None of these
Answer:
B. Shear Modulus
Explanation:
In this scenario, the friction force between the sliding block and the floor causes the block to deform.
Hence, the elastic modulus which describes the relationship between stress and strain for a block of iron sliding across a horizontal floor is Shear Modulus.
Shear Modulus can be defined as the ratio of shear stress to shear strain with respect to a physical object.
This ultimately implies that, Shear Modulus arises as a result of the application of a shear force on an object or body which eventually leads to its deformation. Thus, this phenomenon is simply used by scientists to measure or determine the rigidity of an object or body.
Mathematically, Shear Modulus is given by the formula;
\( G = \frac {Fl}{ADx} \)
Where;
G is the Shear Modulus.
F is the force applied to the object.
A is the area of the object.
l is the length of the object.
Dx is the change in length.
Shear Modulus is measured in Pascals.
A ball is dropped from the top of a 82-m-high building. What speed does the ball have in falling 3.6 s?
The speed of the ball have in falling 3.6 s is 35.5 m/s.
What is the speed of the ball?The speed of the ball is calculated using the equation of a body falling under the influence of gravity or velocity of free fall.
The equation of the motion of the body is given as follows:
v = u - gt
where;
u is the initial velocity
g = acceleration due to gravity
t = time
v = final velocity
Assuming u = 0 m/s, g = 9.8 m/s², t = 3.6 s
v = 0 - 9.8 * 3.6
v = 35.5 m/s
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What characteristics determine how easily two substances change temperature? Check all that apply.
volume of the two substances in contact
amount of time the two substances are in contact
Oarea in contact between the two substances
specific heat of the material that makes up the substances
density of the two substances in contact
Answer:
The characteristics that determine how easily two substances change temperature are:
specific heat of the material that makes up the substancesarea in contact between the two substancesThe volume and density of the substances and the amount of time they are in contact do not directly affect how easily they change temperature.
Explanation:
What variables do you think affect the strength of the force of gravity between two objects?.
Answer:
Mass and distance.
Explanation:
The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them.
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
670 m/h at a heading of 23.6°. The velocity
of the second is 610 m/h at a heading of 183º.
How far apart are they after 2 h?
Answer in units of m.
Answer:
2446.4 m between the two airplanes
Explanation:
The distance is function of the horizontal velocity,
To find the horizontal velocity, we need this relations:
sinθ = co/h = y velocity
cosθ = ca/h = x velocity
x2 = 670 * cos(23.6º) = 614 m/h * 2h = 1228 m
x1 = 610 * cos(183º) = -609.2 m/h * 2h = -1218.4 m
D2 - D1 = 1228 m - (-1218.4 m) = 2446.4 m between the two airplanes