1) Calculate tension force in the string if the system accelerates up an inclined plane at 4m/s²
2) Calculate the magnitude of F if the system moves up the inclined plane at a constant velocity
Answers
1) As long as there is tension in the string connecting the two objects, they will both accelerate together with the same acceleration, 4 m/s². By Newton's second law,
• the net force on the 3-kg object acting parallel to the incline is
∑ F = F - T - f₃ - 3g sin(30°) = (3 kg) (4 m/s²)
• the net force on the 3-kg object perpendicular to the incline is
∑ F = n₃ - 3g cos(30°) = 0
• the net parallel force on the 6-kg object is
∑ F = T - f₆ - 6g sin(30°) = (6 kg) (4 m/s²)
• and the net perpendicular force on the 6-kg object is
∑ F = n₆ - 6g cos(30°) = 0
From the last two equations, it follows that
n₆ = 6g cos(30°) ≈ 50.9223 N
f₆ = 0.2 n₆ ≈ 10.1845 N
T - f₆ - 6g sin(30°) = 24 N ⇒ T ≈ 63.5845 N ≈ 64 N
2) If the objects are pulled up the incline with constant velocity, then the acceleration of either object is zero. The free body diagrams stay the same, so we have the same equations using Newton's second law, the only difference is that each right side is zero.
The new tension in the string is then
T - f₆ - 6g sin(30°) = 0 ⇒ T ≈ 39.5845 N
From the second equation above, we find
n₃ = 3g cos(30°) ≈ 25.4611 N
f₃ = 0.1 n₃ ≈ 2.5461 N
Then in the first equation,
F - T - f₃ - 3g sin(30°) = 0 ⇒ F ≈ 56.8306 N ≈ 57 N
Related Questions
Light travels in waves. Which of the following statements about light waves is NOT true?
A. They travel i’m straight lines.
B. they can travel through any substance
C. They can come from natural or artificial sources.
D. They change direction when they are reflected or refracted
Answers
The direction of light wave changes when they are reflected or refracted. So, all the statements are true.
What is meant by light wave ?Light waves are defined as the electromagnetic waves made of smaller, energy carrying particles called photons.
Here,
Light is an electromagnetic radiation that can have the properties of both waves and particles.
Light waves can travel in straight lines in the transparent medium like air, glass, still water, etc.
Light waves can travel through any medium or substances.
Sources of light are of two types, natural source and artificial source.
Reflection and refraction are the two properties of light.
Reflection is the phenomenon exhibited by light through which a ray of light incident on a smooth, reflecting surface, gets bounced back. Thus, during reflection, the direction of the light ray changes.
Refraction is the phenomenon by which the the speed of the light decreases when light wave travels from a lighter medium to denser medium. The light wave will bend towards the normal line. Thus, during refraction, the direction of light wave changes.
Hence,
The direction of light wave changes when they are reflected or refracted. So, all the statements are true.
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Calculate the Young's moduli for each of the trials shown, and then determine the average. What is the average Young's modulus, in units kN/m2? (Hint: The number should be on the order of 1000's of kN/m2.)
Answers
The term Young Modulus is used to describe the stress to strain of a material. and is a measure of the strength of a material.
What is Young Modulus?The term Young Modulus is used to describe the strength of a material. It is a ratio of the stress to strain of a material. The unit of Young Modulus is N/m2.
The question is incomplete hence the average Young's modulus, in units N/m2 can not be computed. This value helps an engineer to make decision regarding the use of materials for construction.
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A flask that weighs 345.8 g is filled with 225 ml of carbon tetrachloride. The weight of the flask and carbon tetrachloride is found to be 703.55g. Calculate the density in g/ml and g/L.
Answers
Answer:
The density of carbon tetrachloride is 1.59 g/cm^3.
Given the following data:
Mass of flask = 345.8 gVolume of carbon tetrachloride = 225 mLMass of flask and carbon = 703.55 g
To find the density of carbon tetrachloride;
First of all, we would determine the mass of carbon tetrachloride;
Mass of flask and carbon = mass of flask + mass of carbon tetrachloride
703.55 = 345.8 + mass of carbon tetrachloride
Mass of carbon tetrachloride = 703.55 - 345.8
Mass of carbon tetrachloride = 357.75 g
Next, we would solve for the density of carbon tetrachloride by using the formula;
Substituting the values into the formula, we have;
Density = 1.59 g/cm^3
Therefore, the density of carbon tetrachloride is 1.59 g/cm^3.
What forces are acting upon you when you do a moonwalk
Answers
Answer:
u don't know friction?
Explanation:
friction?
can anyone please how answers this
Answers
Answer:
B.
Explanation:
Completely destroy
During what phase of the moon is the moon up only during the night hours and all night long?.
Answers
Answer:
The Full Moon.
Explanation:
A full moon is made when the sun reflects off the moon's surface closest to us. this causes the moon to look bright at night, and dissapear during the morning.
A car is traveling at 30 m/s ( approximately 67 mph) on I-95 highway. The driver applies the brakes and the car comes to a stop in 4.0 s . What is the car's acceleration, in m/s2
Answers
Answer:
step 1 the initial velocity of the car is u = 30 m/s.the final velocity of the car is v = 0 m/s. the time taken by
where does a roller coaster have kinetic and potential energy
Answers
At the top of the hill, the cars have a great deal of gravitational potential energy, equal to the cars' weight multiplied by the height of the hill. When the cars are released from the chain and begin coasting down the hill, potential energy transforms into kinetic energy until they reach the bottom of the hill.
SOME 1 HELP ME ASAP
Which 2 piece ls of data indicate that Jupiter resides in the outer region of the solar system?
1. It is primarily composed of hydrogen and helium.
2. It contains one natural satellite, The Moon.
3. It is hottest plant in the solar system.
4. It’s surface gases form into colorful bands.
5. It’s metal surface upon which one can stand.
Answers
Answer:
hydrogen and helium
Explanation:
From left to right, the outer planets are Jupiter, Saturn, Uranus, and Neptune. The gas giants are made up primarily of hydrogen and helium, the same elements that make up most of the Sun.
What will happen to the gravitational force between two bodies if the masses of one body is doubled?
Answers
Answer:
If the mass of one body is doubled, force is also doubled.
Taking into account the Universal Law of Gravitation, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.Gravitational force if the masses of one body is doubledBy definition of gravitational force, the greater or lesser the value of any of the masses causes the force to be greater or lesser respectively.
Finally, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
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An answer will get you mark as brainliest! This question is in the attachments.
Answers
Answer: I am quite sure your answer here is D.
Explanation: It just seems like the only possible answer to me have a good day :D
A positive charge enters a uniform magnetic field as shown. What is the direction of the magnetic force?.
Answers
From what we know, despite not having the diagram for this question, we can confirm that the magnetic force will be perpendicular to the field.
Why will the magnetic force be perpendicular?Through multiple calculations regarding the physics of the particle and the magnetic and electrical interactions, we reach the conclusion that the magnetic force will always be perpendicular to the magnetic field.
Therefore, we can confirm that the magnetic force will be perpendicular to the field.
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A car is driving forward at a slow but constant velocity of 10 metere per second through a school zone. What is the car's acceleration?
A. The car has slowed down
B. The car has high acceleration
C. The car has no acceleration
Answers
Answer:
option b
Explanation:
hope its help
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There are some points on a standing wave that never move. What are these points called?.
Answers
Answer:
A common term is "nodes", also minimums.
A large bag of feathers and a steel block balance each other on some scales.
What does this show about the masses and the weights of the bag of leathers and the stoel
block?
Answers
Answer:
they have an equal amount of weight between the two objects the steel block and the bag of feathers
If the three capacitors of values 1.0, 1.5, and 2.0 uF each are connected in series, what is the combined capacity
Answers
Answer:
Total capacitance of the three capacitors in series = 0.4615uF
Explanation:
Take the inverse of the three capacitors (in this case you are working with µF so 10^-6) and add their inverse. The result is ~2.167*10^6. The inverse of this number is 0.4615 so the total capacitance of this circuit is 0.4615µF.
Please someone help me with this
Answers
Answer:
I believe it is D
Explanation:
What is Kinematics?
[tex] \\ [/tex]
Answers
[tex] \bf\dag \frak{Solution}[/tex]
Kinematics is the study of the motion of mechanical points, bodies and systems without consideration of their associated physical properties and the forces acting on them.
In simple words it's just Kinematics is the science of describing the motion. ^^
Kinematic is a branch of mechanics that deals with the study of the motion of a body without considering the force that causes it.
What is Kinematic?Kinematic is the branch of Mechanics that deals with the study of the motion of a body, without regard to the force that causes the motion.
The following are the examples of kinematic
A moving trainsWater flowing in a riverA ball rolling on the floor etcKinematic and dynamics are the two branches of mechanics in physics.Hence, Kinematic is a branch of mechanics that deals with the study of the motion of a body without considering the force that causes it.
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Write an activity to differenciate between saturated and unsaturated solution
Answers
Answer:
I hope it will help you have a great day bye and Mark brainlist if the answer is correct
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A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?
Answers
Answer:
15.8 N
Explanation:
The component in a given direction is the magnitude of the applied force, multiplied by the cosine of the angle between its application and the direction of interest.
The horizontal component is ...
(20 N)cos(38°) ≈ 15.8 N
A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?
answer;15.8 N
An astronaut has a mass of 80kg. What is her weight on Earth?
Answers
Answer:
164
Explanation:
if a certain star emits most intensely in the visible region of the spectrum, a cooler star would emit mostly in what part of the spectrum
Answers
A cooler star would emit mostly in infrared range of the spectrum.
Emission of high temperature starsHigh temperature stars like the Sun, which are approximately 6000 K at the surface, emit most of their radiation at visible wavelengths.
Emission of the cooler starsIn stark contrast to high temperature stars, the cooler stars emit most of their radiations in the infrared (IR) range.
Thus, we can conclude that, a cooler star would emit mostly in infrared range of the spectrum.
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PLEASE HELP NOW!! 51 POINTS!!
A rock rolls horizontally off of a 75m cliff. The rock lands 5.11m from the base of the cliff. Calculate the initial velocity of the rock.
Answers
Answer:
it will be 3 seconds
Explanation:
initial horizontal velocity of the rock, u = 20 m/s
horizontal distance traveled by rock, R = 60 m
The the range of the projectile is given by;
R = vt
where;
v is the initial horizontal velocity of the rock
t is the time spent by the rock in air
t = R/v
t = 60 / 20
t = 3 s
I need help!!! :::///
Answers
Explanation:
amazing that you learned a lot of great ideas on your summary business you well from to and as learned that they can do well with their lives for you in the past few they will be a child whose mass is the best thing) )for
A skateboard chsnges velocity from 15 meters per second to 5 meters per second, over the course of 5 seconds. What is the skateboards acceleration?
A. -2 m/s^2
B. +2 m/s^2
C. +0.5 m/s^2
D. -0.5 m/s^2
Answers
Option A) is correct.
We are given –
Initial velocity of skateboard is, u= 15m/sFinal velocity of skateboard is,v = 5 m/s Time taken, t = 5 secAcceleration, a =?Formula To be used:-
[tex]\qquad[/tex] [tex]\star\: \: \pink{\boxed{\frak{ a = \dfrac{(v-u)}{t}}}}[/tex]
Where–
A = Acceleration v = Final velocity u = Initial velocity t = time[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \bf \longrightarrow a = \dfrac{v-u}{t}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{5-15}{t}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{-10}{5}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \cancel{\dfrac{-10}{5}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow a = -2 \:m/s^2}[/tex]
Henceforth, acceleration is -2 m/s².Answer:
-2 m/s²
Explanation:
Here it's given that a skateboard changes its velocity from 15m/s to 5m/s in an interval of 5s . We are interested in finding out the acceleration of the skateboard. Firstly we know that,
The rate of change of velocity is called acceleration. Mathematically,[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{v - u }{t} [/tex]
Here ,
initial velocity = 15m/s final velocity = 5m/stime = 5sOn substituting the respective values, we have;
[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{5m/s-15m/s}{5s}[/tex]
Simplify numerator,
[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{-10m/s}{5s}[/tex]
Divide,
[tex]\qquad\rm\twoheadrightarrow \underline{\boxed{\blue{\rm acceleration= -2\ m/s^2}}} [/tex]
Therefore, Option A is correct choice.
A satellite travels in a circle at 100m/s. Compare the satellites speed and velocity.
Answers
Answer:
you can one a question . then i tell the answerBill runs 400 meters to Andy's house, turns around, and runs 400 meters back home. What is Bill's displacement? A. 1600 meters B. 400 meters C. 0 meters D. 800 meters
Answers
Answer:
C - 0 meters
Explanation:
Displacement is the difference in where you started and where you end up. If Bill starts at his house and ends at his house, there was no change in position, meaning Bill had no displacement. In math this would be
400 + (-400) = 400 - 400 = 0
assuming he runs in the positive direction and then in the negative direction. Either way you put it, it still ends up as 0
A 20 N force pulls to the right and friction pulls 5 N. If the mass is 5 kg, find the acceleration.
Answers
Answer
3ms^-2
_________
After the softball reaches its maximum height, it falls down, speeding up.
Answers
Answer:
GRAVITY
Explanation:
Answer:
Thanks
Explanation:
After the softball leaves your hand, it rises, slowing down the SOLUTION After the softball reaches its maximum height,it falls down speeding up.
The object is speeding up
in an atom is the number of protons greater, less than or equal to the number of electrons?
Answers
Answer:
The number of electrons and protons are always equal in a neutral atom. The total number of protons in the nucleus of an atom gives us the atomic number of that atom.
Explanation:
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