Given,
The mass of the ball, m=16 g=16×10⁻³ kg
The length of the string, r=1.4 m
The period of revolution of the ball, T=1.09 s
The angular velocity of the ball is given by,
\(\omega=\frac{2\pi}{T}\)On substituting the known values,
\(\begin{gathered} \omega=\frac{2\pi}{1.09} \\ =5.76\text{ rad/s} \end{gathered}\)The tension on the string will be equal to the centrifugal force that acts on the ball.
And it is given by,
\(F=m\omega^2r\)On substituting the known values,
\(\begin{gathered} F=16\times10^{-3}\times5.76^2\times1.4 \\ =0.74\text{ N} \end{gathered}\)Thus the magnitude of the tension of the string is 0.74 m
what is the force acting in one direction called?
A net force can act in the same direction as that of the current velocity of the object, in which case it will not change the direction in which the object moves.
What preparation is usually needed for a career in physical science?
Answer:
It includes the sciences of chemistry and physics. Most careers in physical science require a 4-year college degree in one of these fields. Some careers require more advanced education as well. For example, an astronaut might have a master's degree or even a doctoral degree.
Explanation:
Answer: i have never seen two pretty best friends.
Explanation:
A 3.00 kg mass is traveling at an initial speed of 25.0 m/s. What is the magnitude of the force required to bring the mass to rest in a distance of 62.5 m?
Answer:
Answer is 7.50 N
Explanation:
At t = 0, one toy car is set rolling on a straight track with initial position 13.0 cm, initial velocity -3.6 cm/s, and constant acceleration 2.20 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 11.5 cm, initial velocity 5.40 cm/s, and constant zero acceleration. (a) At what time, if any, do the two cars have equal speeds? (Enter NA if the cars never have equal speeds.) s (b) What are their speeds at that time? (Enter NA if the cars never have equal speeds.) cm/s (c) At what time(s), if any, do the cars pass each other? (If there is only one time, enter NA in the second blank. If there are two times, enter the smaller time first. If they never pass, enter NA in both blanks.) s s (d) What are their locations at that time? (If there is only one position, enter NA in the second blank. If there are two positions, enter the smaller position first. If they never pass, enter NA in both blanks.) cm cm (e) Explain the difference between question (a) and question (c) as clearly as possible.
Answer:
that's too much to read
two blocks in contact sliding down an inclined surface of inclination 30°. The friction coefficient between the block of mass 2.0 kg
and the incline is µ1 = 0.20 and that between the block of mass 4.0 kg and the
incline is µ2 = 0.30. Find the acceleration of 2.0 kg block. ( g = 10m/s^2).
Answer:
The acceleration of 2.0 kg block is 2.7 m/s²
Explanation:
Since, µ₁ < µ₂ acceleration of 2 kg block down the plane will be more than the acceleration of 4 kg block, if allowed to move separately. But, as the 2.0 kg block is behind the 4.0 kg block both of them will move with same acceleration say a. Taking both the blocks as a single system:
Force down the plane on the system
= (4 + 2) g sin30°
= (6)(10)(½)
= 30N
Force up the plane on the system
= µ₁ (2)(g)cos30° + µ₂ (4)(g)cos30°
= (2µ₁ + 4µ₂) g cos30°
= (2 × 0.2 + 4 × 0.3)(10)(√3/2)
≈ 13.76 N
∴ Net force down the plane is F
F = 30 - 13.76
F = 16.24 N
∴Acceleration of both the blocks down the
plane will b a
a = F ÷ (4 + 2)
a = 16.24 ÷ 6
a = 2.7 m/s²
Thus, The acceleration of 2.0 kg block is
2.7 m/s²
-TheUnknownScientist
Explanation:
2.7m/s2
I hope its helpful
A rectangular block of wood has dimensions 240mm×20.5cm×0.040m. calculate its volume in cm³.
Answer: 1968 cm3
Explanation: You first need to convert all of your dimensions to the same units.
240 mm = 24 cm
20.5 cm = 20.5 cm
0.04 m = 4 cm
Then volume is Length x width x height = 24 cm x 20.5 cm x 4 cm =
Which landscape will erode more quickly? Assume the same precipitation and average temperature in each landscape.
A. Landscape A.
B. Landscape B.
C. The rates of erosion will be the same.
D. Impossible to determine.
Answer:
B. Landscape B
Explanation:
Shale is fine sediment pressed together to form rock.
Sandstone is larger (sand-grain-sized) sediment cemented together to form rock.
Shale erodes faster, as evidenced by the second attachment. That attachment shows erosion of a rock face consisting of interbedded shale and sandstone. The shale has receded significantly, leaving the sandstone layers with space between them.
Help please..
Kepler’s third law states that:
A. the orbits of the planets are elliptical.
B. the planets move slower when they are closer to the Sun and faster when they are farther from the Sun.
C. the square of the ratio of the periods of any two planets revolving around the Sun is equal to the cube of the ratio of their average distance from the Sun.
D. objects attract other objects with a force that is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them.
Answer:
c
Explanation:
What is the electric potential 15 cm above the center of a uniform charge density disk of total charge 10 nC and radius 20 cm?
a) 360 V
b) 450 V
c) 22.5 V
d) 0 V
Answer:
b) 450 V
Explanation:
We are given that
Total charge, q=10nC=\(10\times 10^{-9} C\)
\(1nC=10^{-9}C\)
Radius, r=20 cm=\(\frac{20}{100}=0.2m\)
1 m=100 cm
x=15 cm=0.15 cm
We have to find the electrical potential 15 cm above the center of a uniform charge density disk .
We know that
\(\sigma=\frac{q}{A}=\frac{q}{\pi r^2}\)
\(\sigma=\frac{10\times10^{-9}}{3.14\times (0.2)^2}\)
Where \(\pi=3.14\)
\(\sigma=7.96\times 10^{-8}C/m^2\)
Electric potential,\(V=\frac{\sigma}{2\epsilon_0}(\sqrt{x^2+r^2}-x)\)
Where \(\epsilon_0=8.85\times 10^{-12}\)
Using the formula
\(V=\frac{7.96\times 10^{-8}}{2\times 8.85\times 10^{-12}}(\sqrt{(0.15)^2+(0.2)^2}-0.15)\)
\(V=449.7 V\approx 450V\)
Hence, option b is correct.
Answer:
The potential is given by 449.7 V.
Explanation:
radius of disc, R = 20 cm = 0.2 m
distance, x = 15 cm = 0.15 m
charge, q = 10 nC
surface charge density
\(\sigma = \frac{q}{\pi R^2}\\\\\sigma = \frac{10\times 10^{-9}}{3.14\times 0.2\times 0.2 }\\\\\sigma = 7.96\times 10^{-8} C/m^2\)
The electric potential is given by
\(V=\frac{\sigma}{2\varepsilon 0}\left ( \sqrt{R^2 + x^2} - x \right )\\\\V = \frac{7.96\times 10^{-8}}{2\times 8.85\times 10^{-12}}\left ( \sqrt{0.2^2 + 0.15^2} - 0.15 \right )\\\\V = 449.7 V\)
Which vector is the sum of vectors à and b?
The vectors addition permits locating the perfect result for the sum of the two vectors in option B). See attached and the vector is directed to the right and up.
Vector addition is the operation of adding or extra vectors together into a vector sum. The so-known as parallelogram regulation gives the rule for vector addition of or greater vectors. for two vectors and, the vector sum is received via placing them head to tail and drawing the vector from the loose tail to the unfastened head.
A vector is an amount or phenomenon that has impartial residences: importance and direction. The time period also denotes the mathematical or geometrical representation of the sort of quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
Vectors are used in technological know-how to describe something that has a direction and a magnitude. they're commonly drawn as pointed arrows, the length of which represents the vector's importance
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Which vector is the sum of vectors à and b?
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Define cyber law and its types.
Answer:
Cyber Law is a generic term referring to all the legal and regulatory aspects of the internet. Everything concerned with or related to or emanating from any legal aspects or concerning any activities of the citizens in the cyberspace comes within the ambit of cyber laws.
Types :-CopyrightPatentsTrademarks or Service MarksTrade SecretsDomain DisputesContractsPrivacyEmploymentDefamationExplanation:
HOPE IT HELPS YOU!!the material which obey hooke's law is called.....................
The material that obeys Hooke's law is elastic material.
What is Hooke's law all about?Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula F = kX
F is the force, x is the deformation, and k is the spring constant.
Elastic materials are able to return to their original shape after being deformed by a force.
The amount of deformation is noted to be directly proportional to the amount of force applied.
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what are the factors affecting center of mass in an object
explain the methods to determine specific charge of an electron ?
The methods to determine the specific charge of an electron are The J. J. Thomson Method and The Millikan Oil Drop Method.
The J. J. Thomson Method
In this method, an electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen. When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force, which is given by the formula: $F= evB$ $F= evB$
When a magnetic field is applied at right angles to an electron beam, it bends the path of the beam into a circular path. The radius of the path of an electron beam in a magnetic field is determined by the relationship:r = mv/eB. As a result, the specific charge of an electron may be calculated from the expression: $e/m = 2V / B^2r^2$
The Millikan Oil Drop Method
This is another technique for determining the specific charge of an electron. The oil drop experiment was first done by Robert A. Millikan in 1909. He did this experiment by suspending charged droplets of oil in a uniform electric field between two parallel plates.
The fall of the oil droplets in the absence of an electric field was also noted. The fall velocity of the oil droplet was determined by measuring the time taken by the oil droplet to pass through a fixed distance between the plates in the absence of an electric field. By measuring the electric field strength, the voltage applied to the plates, and the fall velocity of the oil droplet, the specific charge of the electron was determined.
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The methods to determine the specific charge of an electron are :
The J. J. Thomson Method The Millikan Oil Drop Method.How do we describe?In the J. J. Thomson Method, an electric field is created between two parallel metal plates. Electrons are accelerated by this field from the negative plate to the positive plate. After that, they strike a fluorescent screen.
When the electrons are shot through the electric field perpendicular to the magnetic field, they experience the Lorentz force.
The Millikan Oil Drop Method is an experiment by which is created by suspending charged droplets of oil in a uniform electric field between two parallel plates.
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A certain car can accelerate from 0 to 100 km/hr in 6.0 seconds what is the average acceleration of the car in m/s^2
Answer:
GIVEN :-Initial velocity = 0 × 5/18 = 0 m/s
Final Velocity = 100 × 5/18 = 27.77 m/s
Time = 6 sec
TO FIND :-Acceleration
SOLUTION :We know that
a = v - u/t
a = 27.77 - 0/6
a = 27.77/6
a = 4.6 m/s²
\( \\ \)
The average acceleration of the car is equal to 4.63 m/s².
What is the average acceleration?The average acceleration is the change in velocity of an object divided by the elapsed time. Acceleration for an object can be described as the rate of change of velocity of the body.
The average acceleration for an interval is the change in velocity for that interval per time. So, the mathematical expression for the average acceleration can be written as:
Average acceleration (a) = △v/△t
If 'u' is the initial velocity and 'v' is the final velocity, and t is the time for the change of the velocity from u to v then a = v - u.
Given, the initial velocity of the car, u = 0
The final velocity of the car, v = 100 Km/hr = 27.77 m/s
The time is taken to change the velocity from 0 to 100 km/hr, t = 6 s
The average acceleration = (27.77 - 0)/6 = 4.63 m/s²
Therefore, the average acceleration of the car is equal to 4.63 m/s².
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What force will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other?
The force that will balance the two forces is 6.4 N
Data obtained from the questionForce 1 (F₁) = 4 NForce 2 (F₂) = 5 NResultant force (F)The resultant force, F can be obtained as follow:
F = √(F₁² + F₂²)
F = √(4² + 5²)
F = √(16 + 25)
F = √41
F = 6.4 N
Thus, the force that will balance the two forces is 6.4 N
See attached photo
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The force that will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other is a force of 6.4 N acting in an opposite direction to the resultant of the two forces.
Equilibrant of forcesThe equilibrant of two or more forces is that single force which will have the same effect as the resultant of two or more forces but which is acting in a direction opposite to that of the resultant force.The Resultant of the two forces 4.0 N and %.0 N acting perpendicular to each other is calculated using the formula:
R² = A² + B²
where A and B are the two forces acting perpendicular to each other.
R² = 4² + 5²
R² = 41
R = 6.4 N
Therefore, the force that will counterbalance two forces 4.0 N and 5.0 N acting perpendicular to each other is a force of 6.4 N acting in an opposite direction to the resultant of the two forces.
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Which graph represents y=x²-b.
where b is a positive real number?
J
K
L
M
N
According to the question,M is a positive real number.
What is the positive ?
The positive is having an optimistic outlook on life. It means looking on the bright side of things, maintaining a positive attitude, and having hope for the future. Having a positive attitude can help you to stay motivated and focused, even when things get tough. It can also help you to build strong relationships with others and make the most of opportunities. Being positive can lead to greater success and improved well-being.It can also help you to build strong relationships with others and make the most of opportunities. Being positive can lead to greater success and improved well-being.
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micah is cooking a pork roast for his family. he wants to be sure the pork roast has an internal temperature of at least 145 degrees fahrenheit. he uses a thermometer to measure the internal temperature at three randomly chosen places. the minimum reading in the sample is 152 degrees fahrenheit. identify the population, the parameter, the sample, and the statistic. population, minimum temperature of 145 degrees fahrenheit; parameter, all pork temperature readings; sample, three random
The population in this particular problem is the pork roast. The parameter on which the population is being evaluated is 142 degrees Fahrenheit. The sample is the three random places in the pork roast where the temperature was checked. The statistic is 152 degrees Fahrenheit, which was the minimum temperature recorded during sampling.
1. The population is the object or group on which the evaluation is being done. In this scenario, the population is the pork roast.
2. Parameter is a bar which is set for measuring a feature in the population. In this problem, Micah wants the pork roast, i.e., the population, to have a minimum temperature of 142 degrees Fahrenheit.
3. A sample is chosen at random from a given population to check if the parameter matches. In this problem, Micah checked the temperature of the pork roast at three random places to deduce the average temperature of the population.
4. The statistic is the actual measurement of the sample which is compared to the parameter. In this case, the statistic would be the average minimum temperature of 152 degrees Fahrenheit.
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A car drives 26.8 m/s south. It
accelerates at 3.75 m/s² at a
155.0° angle. How long does it
take until the car is driving directly
west?
Answer: the time for the car to drive directly south is determined as 7.15 s.
Explanation:
The time for the car to drive directly south is determined by applying the concept of slope.
slope = Δy/Δx
a = Δv/Δt
Δt = Δv/a
Δt = (26.8)/(3.75)
Δt = 7.15 s
Thus, the time for the car to drive directly south is determined as 7.15 s.
Object A is an insulator. Object B is a conductor. Object A is neutral. Object B has a positive charge. Object A is touched to the ground. When the ground is pulled away, what charge do the two objects have?
When the ground is pulled away, the charge that the two objects have is that Object A is now negatively charged and Object B is still positively charged.
How does this work?After touching object A to the ground, object A will have zero charges as it is an insulator and the ground is neutral, so no charges will flow.
Object B still has a positive charge as it is a conductor, and since object A is not connected to it anymore, there will be no transfer of charges between them.
Recall that an insulator is any property that does NOT allow electric charges to pass through them.
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Sam wants to upgrade his toy "golf ball launcher". Right now when he shoots the toy vertically,
the golf ball reaches a height of 1.75 m. A golf ball has a mass of 46 grams and the toy can
hold a spring that can be compressed 24 cm. Using a different spring, Sam believes he can
increase the distance it can be compressed to 32 cm. What spring constant will Sam need the
new spring to be if he wants it to launch the golf ball vertically to a height of 3.0 m?
Consider the vectors shown
The magnitude of the vector D =0.5A- 3B + C is
The magnitude of the vector D =0.5A- 3B + C is mathematically given as
D =256N
This is further explained below.
What is the magnitude of the vector D =0.5A- 3B + C?Generally,
\(D &=0.5 A-3 B+C \\D_x &=0.5 A_x-3 B_x+C_x \\D_x &=0.5\left(A \cos 30^{\circ}\right)-3\left(-B \sin 30^{\circ}\right)+\left(-\cos 53^{\circ}\right) \\\)
=0.5(100 *0.866)+3(80 *0.5)-(40 *0.602) \\
=43.3+120-24.07
=163.3-24.07 \\
D_x =139.3N
D_y =0.5 A_y-3 B_y+C_y
\(=0.5\left(A \sin 30^{\circ}\right)-3\left(B \cos 30^{\circ}\right)+\left(-C \sin 53^{\circ}\right) \\\)
=0.5(100 *0.5)-3(80 *0.866)-40 *0.8
In conclusion,
D_y =25-207.85-31.95
D_y =25-239.8
D_y =-214.8N
\(D &=\sqrt{D_x^2+D_y^2} \\\\&=\sqrt{(139.3)^2+(-214.8)^2} \\\\&=\sqrt{19404.49+46139.04} \\\\&=\sqrt{65543.53} \\\\\)
D =256N
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TRUE or FALSE? If an object moves in a circle at a constant speed, its velocity vector will be constant. Explain your answer.
It's false. The length of the vector is going to remain the same but the direction is going to change.
Is Solar Energy renewable? Why or why not? Use in your own words.
Answer:
Solar energy is renewable.
Explanation:
If something is renewable, it is generated faster than it can be reasonably used or won't run out for longer than it would be used. Solar falls into the latter category. Using solar panels won't deplete the sun and the sun will likely be around for much longer than we will.
the answer for this pls
The solubility of a substance in a solvent is affected by many factors, including temperature. In general, increasing the temperature of a solvent increases the solubility of a solute in that solvent. This relationship is known as the temperature-solubility relationship.
How to explain the relationshipThere are a few different ways in which temperature can affect solubility, depending on the specific solute and solvent in question. For example:
For most solid solutes in liquid solvents, increasing the temperature of the solvent will increase the solubility of the solute. This is because increasing the temperature generally increases the kinetic energy of the solvent molecules, which in turn makes it easier for them to break apart the intermolecular forces holding the solute together and form new solute-solvent interactions.
In some cases, however, the opposite may be true: the solubility of a solute in a solvent may decrease with increasing temperature. This is often observed for gases dissolved in liquids, where increasing the temperature decreases the solubility of the gas. This is because increasing the temperature of the liquid also increases the kinetic energy of the gas molecules, making them more likely to escape from the liquid and form a gas phase.
In rare cases, the temperature-solubility relationship may be more complex and exhibit unusual behavior. For example, for some solutes, the solubility may initially increase with temperature but then decrease at higher temperatures.
Overall, the relationship between temperature and solubility is an important consideration in many chemical processes, including crystallization, precipitation, and dissolution. Understanding this relationship can help scientists and engineers optimize their processes and achieve their desired outcomes.
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Please help I will give 20 points.
Antarctica has received increased snow pack in recent years but has also had greater
melting of ice. In 1-2 sentences, explain why scientists would use more than one
computational model to make predictions about future melting.
what happens to the reading on Ammeter A1 , when more resistors are connected in series?
Answer:
As the number of bulbs in series increases, both the ammeter reading and bulb brightness should decrease. Using standard ammeters may not give perfect results and if the bulbs are allowed to heat up too much in between adding more bulbs, their resistance will be higher.
Explanation:
hope it helps you and give me a brainliest
If a 15-ohm resistor is connected in parallel with a 30 ohm-resistor, the equivalent resistance is?
Answer:
Explanation:
in parallel combination equivalent resistence =
1/R=1/R1 + 1/R2
1/2=1/15+1/30
1/2=1*2+1*1/30
1/R=3/30
R*3=30*1
R=30/3
R=10 ohm
Explanation:
Equilibrium resistance=1/R1 +1/R2
\( = \frac{1}{15} + \frac{1}{30} \\ = \frac{2 + 1}{30} \\ \frac{1}{r} = \frac{3}{30} \\ resistance \: = \frac{30}{3} \\ = 10 \: ohms\)
two charged particles repel each other with a force of 10N when they are 30cm apart if they are repel each other by a force of 4N what would be the separation distance
Given data:
* The initial distance between the charged particles is,
\(\begin{gathered} d_i=30\text{ cm} \\ d_i=0.3\text{ m} \end{gathered}\)* The initial force acting between the charged particles is F_i = 10 N.
* The final force acting between the charged particles is F_f = 4 N.
Solution:
By Coulomb's law, the electrostatic force between the charged particles in the initial case is,
\(F_i=\frac{kq_1q_2}{(d_i)^2}\ldots\ldots\text{.}(1)\)where k is the electrostatic force constant, q_1 is the charge on the first particle and q_2 is the charge on the second particle,
By Coulomb's law, the electrostatic force between the charged particles in the final case is,
\(F_f=\frac{kq_1q_2}{(d_f)^2}\ldots\ldots\ldots(2)\)Dividing (1) equation by (2) equation,
\(\begin{gathered} \frac{F_i}{F_f}=\frac{\frac{kq_1q_2}{(d_i)^2}}{\frac{kq_1q_2}{(d_f)^2}} \\ \frac{F_i}{F_f}=\frac{(d_f)^2}{(d_i)^2} \end{gathered}\)Substituting the known values,
\(\begin{gathered} \frac{10}{4}=\frac{d^2_f}{(0.3^{)2}} \\ d^2_f=\frac{10}{4}\times(0.3)^2 \\ d^2_f=0.225 \\ d_f=0.474\text{ m} \\ d_f=47.4\text{ cm} \end{gathered}\)Thus, the distance between the charges in the final state is 47.4 cm or approximately 0.5 m.
Couldn’t you technically make infinite speed by putting a car in a vacuum chamber? Since top speed it made by the amount of force it takes until power and wind balance couldn’t you just get rid of that factor entirely?
Answer:
No
Explanation:
For infinite speed to be achevied, one must have no sink of energy to spend. The source of entropy in this example, is the tires hitting the surface, producing heat and friction. Not to mention that you'd still need fuel to start the car, and an infinite tunnel or track, which would be impossible and speed up to process of energy loss through entropy quicker.