A ball of mass m is suspended from two strings of unequal length as shown. The magnitude of the tensions T1 and T2 in strings must satisfy which of the following relations?
Answers
Let θ₁ and θ₂ denote the angles made by the tension forces T₁ and T₂ with the positive horizontal axis (directly to the right), respectively. (BTW, I write T₁ in boldface for the vector and T₁ for its magnitude.)
The ball is kept in equilibrium, so by Newton's second law both the net horizontal and net vertical forces are zero. This means
[1] T₁ cos(θ₁) + T₂ cos(θ₂) = 0
[2] T₁ sin(θ₁) + T₂ sin(θ₂) - m g = 0
Both cos(x) and sin(x) fall within -1 and 1 for any angle x, so right away we know that
T₁ sin(θ₁) + T₂ sin(θ₂) ≠ T₁ + T₂
so option (B) is not correct.
If T₁ = T₂, then in equation [1] we get
T₁ cos(θ₁) + T₁ cos(θ₂) = 0
T₁ (cos(θ₁) + cos(θ₂)) = 0
cos(θ₁) + cos(θ₂) = 0
which means θ₁ = 180° - θ₂, since cos(180° - x) = - cos(x) for any x. But this would require both strings to have the same length. So option (C) is also not correct.
The horizontal components of T₁ and T₂ are the only forces acting in the horizontal direction, so their horizontal components are equal. However, the vertical component of T₂ is closer to being parallel to the weight of the ball, which means T₂'s vertical component is almost enough on its own to counteract the ball's weight. This in turn means that (D)T₂ > T₁.
In other words, sin(θ₂) is closer to 1 than sin(θ₁), and T₂ is closer to m g than T₁.
Related Questions
Qs # 1. A satellite orbits earth with a mean altitude of 361 Km. If the orbit is
circular, what are the satellite's time period and speed?
Qs # 2. The same satellite from problem # 1 orbits Jupiter at the same altitude
as before i.e 361 Km. what are the new Time Period and speed?
Answers
Answer:
40.6789km
243.098km
Explanation:
Please pass this on... ( #helpsavelives )
Who ever is reading this: I love u. U matter.
The world needs u hang in there ik it may be bad but u deserve the world
Answers
Answer:
Awww <3 you too! You matter too! thanks for the message!
Explanation:
(NEED HELP PLEASE) A physics student goes to the roof of the school, 24.15 m above the ground, and drops a pumpkin straight down with an initial velocity of 0 m/s. How long does it take for the pumpkin to hit the ground?
Answers
Answer:
t = 2.2 s
Explanation:
Given that,
Height of the roof, h = 24.15 m
The initial velocity of the pumpkin, u = 0
We need to find the time taken for the pumpkin to hit the ground. Let the time be t. Using second equation of kinematics to find it as follows :
[tex]h=ut+\dfrac{1}{2}at^2[/tex]
Here, u = 0 and a = g
[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 24.15}{9.8}} \\\\t=2.22\ s[/tex]
So, it will take 2.22 s for the pumpkin to hit the ground.
The table below provides information about several mineral samples that were used during an investigation.
mineral, color, streak, luster, hardness, apatite, pale, green, white, glassy, 5, halite, gray, white, glassy, 2.5, calcite, light, green, white, glassy, 3, feldspar, gray, white, glassy, 6,
Students were given a mineral sample to identify, and they made several observations about the sample. The mineral was green and made a white streak on a streak plate. It also had a glassy luster. The students were able to scratch the mineral with a sample of fluorite. Because of this, they determined that the mineral had a hardness of less than 4. The students summarized this information in the table below.
student, observations, color, green, streak, white, luster, glassy, hardness, less, than, 4,
Based on these observations, what is the identity of this mineral sample?
Apatite
Halite
Calcite
Feldspar
Answers
Answer:calcite
Explanation:
Based on these observations, Calcite is the identity of this mineral sample. Therefore, the correct option is option C among all the given options.
What is mineral?Typically created by inorganic processes, a mineral is a naturally occurring homogenous solid having a specific chemical composition as well as a highly organized atomic arrangement. About 100 of the known mineral species—the so-called rock-forming minerals—make up the majority of the known mineral species, which number in the thousands.
A mineral is different from its laboratory-produced synthetic counterparts since it must by definition develop through natural processes. Based on these observations, Calcite is the identity of this mineral sample.
Therefore, the correct option is option C among all the given options.
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Which of the following would cause an iron bar to start generating a magnetic field? A Orienting the iron bar so that it points to the North pole.
B Labeling the ends of the bar with "N" and "S".
C Melting the bar completely and letting it cool down slowly.
B Wrapping the bar with a coil of wire that has an electric current.
Answers
Answer:
Wrapping the bar with a coil of wire that has an electric current.
Explanation:
To cause an iron bar to start generating a magnetic field, wrap the bar with a coil that has an electric current.
This process is known as making magnetics using an electric current. There is an interaction between electric and magnetic fields. Electrical current can be induced by magnetic fields and magnetism can be induced by electric currents.Wrapping the bar with a coil of wire that has electric current can cause an iron bar to start producing magnetic fields. This way, the iron bar becomes a magnet.
katelyn throws a rock which travels 34 m above her hand before it starts to fall. what is the vertical velocity of the rock when it leaves her hand?
Answers
Answer:
25.8 m/s
Explanation:
Initial Velocity (u) =?
Final velocity before it starts to fall ; v = 0
Distance (S) = 34 meters
Using the relation :
v² = u² + 2aS
a = - 9.8 m/s²
0 = u² + 2(-9.8)(34)
0 = u² - 666.4
u² = 666.4
u = √666.4
u = 25.814724
Hence, vertical velocity when the rock leaves her hand is 25.8 m/s
100 points
Please help me out
Answers
Answer:
hold up let me think
Explanation:
Answer: I know this is not the answer but i searched on brainly it gives the answer like search ur own question and find the right one :)
A small steel roulette ball rolls around the inside of a 30 cm diameter roulette wheel. It is spun at 150 rpm, but is slows to 60 rpm over an interval of 5.0 s. How many revolutions does the ball make during these 5.0 s?
Answers
Solution :
Given
Diameter of the roulette ball = 30 cm
The speed ball spun at the beginning = 150 rpm
The speed of the ball during a period of 5 seconds = 60 rpm
Therefore, change of speed in 5 seconds = 150 - 60
= 90 rpm
Therefore,
90 revolutions in 1 minute
or In 1 minute the ball revolves 90 times
i.e. 1 min = 90 rev
60 sec = 90 rev
1 sec = 90/ 60 rec
5 sec = [tex]$\frac{90}{60}\times 5$[/tex]
= 75 rev
Therefore, the ball made 75 revolutions during the 5 seconds.
Arrange the following elements in order of increas
ing radius: bromine, potassium, vanadium (23), zinc
Answers
Answer:
Potassium > Vanadium > Zinc > Bromine
Explanation:
The size of an atom can be difficult to estimate. It is measured in terms of the atomic radius.
It is the taken as half of the inter-nuclear distance between covalently bonded atoms of non-metallic elements or half the distance between two nuclei in the solid state of metals.
Across a period atomic radius decreases from left to right. Down a group from top to bottom, atomic radii increases progressively.The elements given all lie in the same period so their atomic radius decreases.
A string is being pulled with a force of 20 N and moves a 5 kg block to the left at a constant speed. What is the coefficient of friction for between the floor and the block? Enter your answer as a decimal value (Example: 0.72) * I think the answer is 20 but this question is starting frustrating me
Answers
Answer:
μ = 0.4
Explanation:
As, the object is moving at a constant speed. Therefore, the unbalanced force on it must be equal to zero. So, the frictional force on the object must be equal to the force applied to it:
F = frictional force
F = μR = μW = μmg
where,
F = Applied Force = 20 N
μ = coefficient of friction between wall and floor = ?
m = mass of block = 5 kg
g = 9.8 m/s²
Therefore,
20 N = μ(5 kg)(9.8 m/s²)
μ = 20 N/49 N
μ = 0.4
what involves gathering and analyzing information related to the terrain and environment of enemy forces.
Answers
Answer:
Intelligence
Explanation:
Intelligence involves gathering and analyzing information related to the terrain and environment of enemy forces.
Intelligence is a very important tool in warfare which are often used by Army Generals and other war specialists. This also helps to make adequate plans and preparations in ensuring success and victory is achieved.
can somebody please help with these
Answers
Answer:
Fusion
Fission
Explanation:
The first problem describes a nuclear fusion process. In this process;
small atomic nuclei combines to form a larger one. it is accompanied by a large release of energythis energy provides the needed temperature to set up another light nuclei to fuse.The second problem describes nuclear fission,
a heavy nuclide is bombarded with a neutron. the product formed becomes unstable and subsequently breaks down. This leads to a series of chain reactions until stability is attained.name this from taco bell and get brainlest answer :)
Answers
Answer:
What "this"??? Where is it " this"???
Which of the following is an opinion about
energy?
A) Power plants and batteries supply us with electrical energy
B) Kinetic energy is the energy of motion
C) Chemical energy is the most important source of
energy
D) Solar energy can be used to power people's
homes
Answers
Answer:the answer is c:chemical energy is the most important source of energy
Explanation:
The other three are proven facts.
did u guys know that 75% of stair accidents happen on stairs
Answers
Answer:
Shouldn't it be 100%
Explanation:
Please explain in the comment section.
State Newton's law of universal gravitation in words. Then do the same with one equation.
Answers
A 50 kg ball rolls down the street at 5 m/s.
Calculate the momentum of the ball.
Answers
Answer: 250kg m/s
Explanation: You multiply 50kg and 5m/s to get 250kg m/s
The momentum of the ball is 250 Kgm/s
Given the following data;
Mass = 50 kgVelocity = 5 m/sTo find the momentum of the ball;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. It is a vector quantity and as such has both magnitude and direction.
Mathematically, momentum is giving by the formula;
[tex]Momentum = mass\; * \; velocity[/tex]
Substituting into the formula, we have;
[tex]Momentum = 50 * 5[/tex]
Momentum = 250 Kgm/s
Therefore, the momentum of the ball is 250 Kgm/s
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what is the weight of an object with a force of 35 pounds ?
Answers
Answer:
Wouldn't it be 17.5. Force doubles in weight.
Explanation:
WIISAS AVIOS HI HSNO&HI SNISInd) SI 1IWO) V AT A SPEED OF 50,000 KILOMETERS PER HOUR FOR U HOURS. WHAT IS THE DISTANCE TRAVELED BY THE COMET DURING THIS TIME?
Answers
Answer:
50,000U km
Explanation:
Given
Speed = 50000km/hr
Time of travel = U hours
Required
Distance covered
Using the formula;
Speed = Distance/Time
Distance = speed × time
Substitute the given values;
Distance = 50000 × U
Distance covered = 50,000U km
Hence THE DISTANCE TRAVELED BY THE COMET DURING THIS TIME is 50,000U km
What is the first step in making a transgenic organism?
A. Find a gene in one species that would be useful if added to the
DNA of another species.
B. Select two parents that have desirable genetic traits and allow
them to reproduce.
C. Insert all of the DNA from the body cell of one individual into the
egg cell of another.
D. Allow an organism with a desirable genetic trait that is recessive
to reproduce asexually.
Answers
Answer: its A I took the test
A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles.
Answers
Answer:
This question appear incomplete
Explanation:
This question appear incomplete because of the absence of the time the honeybee spent while travelling from the hive. However, if we are to assume that the honeybee spent the same amount of time leaving/travelling as when it was returning. Then the formula to be used is
Speed = distance ÷ time
distance = speed × time
distance = 4 × 1
distance = 4 miles
To determine the displacement of the honeybee, the total distance covered by the honeybee in both to and fro journey will have to be summed (this is because displacement is a vector quantity).
Assuming the the speed and time spent while returning is the same with those spent while leaving, then the displacement will be distance × 2 (sum of all the distance covered)
Thus; 4 × 2 = 8 miles
which two types of energy does a book have as it falls to the floor?
Answers
Explanation: As the book falls, its potential energy is converted to kinetic energy. When the book hits the floor this kinetic energy is converted into heat and sound by the impact.
Answer:
the guy above me is correct
Explanation:
just did test
If you want to make a strong battery, should you pair two metals with high electron affinities, low electron affinities, or a mix? Explain your answer.
I’ll give brainliest please helppppppp
Answers
Answer:
A mix
Explanation:
A battery is an electrochemical cell that converts chemical energy into electrical energy. The chemical reactions in a battery ensures that current is produced.
A battery is made up of two electrodes which are the cathode and anode.
The cathode is the positive electrode and the anode is the negative one.
These electrodes are made up of metals.
Electrons moves from the anode to the cathode and current flows from cathode to anode.
At the anode oxidation occurs because electrons are produced here.
It needs to have low electron affinity.
At the cathode where reduction occurs, the electron affinity must be high.
This is the driving force for the production of electricity in electrochemical cells.
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Explanation:
How does the brightness of light change when a point source of light is brought twice as far away?
Answers
Answer:
If its twice as far the light will be twice as bright.
Explanation:
PLS HELPPP! Why are ions harmful and why are they not harmful?
Answers
Answer:
This is because we are surrounded by positive ions from electromagnetic fields generated by computers, cell phones, and other electronic devices which can impair brain function and suppress the immune system causing symptoms such as: anxiety, breathing difficulty, fatigue, headaches, irritability, lack of energy, poor concentration, nausea, and vertigo,
Explanation:
Answer:
Ions can be harmful because ions can produce dangerous indoor ozone and can waste space and electricity. Hours of negative ion exposure can produce symptoms of depression. On the other hand, ions can help improve our immune systems by strengthening our immune cells. Ions can also speed up the production of antibiotics.
Smithers thinks that a special juice will increase the productivity of workers. He creates
two groups of 50 workers each and assigns each group the same task (in this case,
they're supposed to staple a set of papers) Group A is given the special juice to drink
while they work, Group B is not given the special juice. After an hour, Smithers counts
how many stacks of papers each group has made. Group A made 1,587 stacks, Group
B made 2,113 stacks
What should Smithers conclusion be?
How could this experiment be improved?
Answers
Answer:
1. Group B
2. The juice
3. The number of stacks of paper
4. the juice did not help improve a quicker process
5. Group A can be given the juice, Group B can be given the juice without the special ingredient
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This suggests that the special juice did not have a positive impact on productivity, and it may even have had a negative effect.
To improve the experiment: Randomized assignment, Control group considerations, Double-blind design, Larger sample size.
1. Smithers' conclusion should be that the special juice did not increase the productivity of the workers. Group B, which did not receive the special juice, actually produced more stacks of paper (2,113 stacks) compared to Group A, which had the special juice (1,587 stacks).
2. To improve the experiment, Smithers could consider implementing the following:
a. Randomized assignment: Ensure that the assignment of workers to groups is done randomly. Random assignment helps minimize any potential bias or confounding variables that could affect the results.
b. Control group considerations: In this experiment, Group B serves as the control group since they did not receive the special juice.
c. Double-blind design: To eliminate potential biases, both the workers and the person assessing their productivity should be unaware of which group received the special juice.
d. Larger sample size: Increasing the sample size can enhance the statistical power of the study and improve the reliability of the results. With a larger sample size, any differences between the groups can be more confidently attributed to the intervention.
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1.Compare why does things look different under water vs how light rays appear to bend
Answers
Answer:
Objects underwater seem closer to the surface than they actually are because light rays from the object bend away from the normal as they pass from water to air making the objects look closer.
9. Two different forces (5 N to the right and 7 N to left) are acting on a 5 kg bowling ball. What would the acceleration of the bowling ball be?
I will give you brainlist
Answers
Answer:
0.4m/s² to the left
Explanation:
To solve this problem, we must know that;
Net force = mass x acceleration
Net force is the resultant force on a body that will act like a single force;
Force to left - force to right = mass x acceleration
7 - 5 = 5 x acceleration
2 = 5 x acceleration
Acceleration = [tex]\frac{2}{5}[/tex] = 0.4m/s² to the left
Which item could you use in place of an ammeter to demonstrate that a
moving magnet causes an electric current to flow in a wire coil?
O A. A permanent magnet
B. A coil of aluminum wire
O c. A battery
O D. A lightbulb
Answers
Answer:
the answer is D
Explanation:
To test the flow of electric current through a circuit we can use a lightbulb. If a current is generated the bulb will light with brightness. Thus, option D is correct.
What is an ammeter?An ammeter is an electric device used to measure the current through a circuit. The current in ampere, milliampere or microampere is recorded by the ammeter through the deflection of its needle.
A magnetic field is always associated with an electric field where, the fields will be right angled to each other. A moving magnet in turn causes an electric current like a moving charge make an electric current.
To light a bulb electrical energy is needed. Thus, we can test the deflection in electric field using a a light bulb connected to the circuit. If there is a fine passage of electricity, the bulb will lighten. Thus, option D is correct.
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if the earth stops rotating about its axis then what will be the change in the value of g at a place in the equator-plane? Assume that earth is a sphere with a radius of 6.4*10*6m.
Answers
Answer:
if the earth stops rotating the value of g increases