The Maximum tangential speed the ball can have would be = 5.3m/s.
What is tangential speed?A tangential speed is defined as the speed of an object that has an angular velocity with respect to an instantaneous velocity.
The formula used to calculate the maximum tension;
T = mv²/r
Where T = Maximum tension = 132.3N
M = mass= 4kg
r = radius = 0.86m
V= tangential speed = x
Make v the subject of formula;
V = √Tr/m
V = √ 132.3 × 0.86/4
V = √113.778/4
V= √28.4445
V = 5.3 m/s.
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Complete question:
An athlete swings a 4.00 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. If the maximum tension the rope can withstand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?
It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.
What is altitude?
Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of celestial object above the horizon, measured in angular distance.
Sol-A sign simply indicates multiplication operation.
As per the question we have given- a=accelaration =-2*101=-202m/s^2
(We use negative sign here because it opposes the gravitational force)
d= distance/altitude =9*103= 927 meters
V= initial velocity= 0 m/s
T = Time substituting,927=3.03 second.
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If the motion of an object in the x direction and y direction is known, how can the total motion of the object be found?
Explanation:
resultant motion = √x² + y²
this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.
hope it helps. :)
ASTRONOMY QUESTION
Over what range of distances from the Sun would you expect to find solid, rocky material collecting together to form a terrestrial planet?
Group of answer choices
A) 5 - 50 AU
B) beyond 50 AU
C) 0.2 - 5 AU
D) 0 - 0.2 AU
The range of distances from the Sun that you would expect to find solid, rocky material collecting together to form a terrestrial planet is option (C) 0.2 - 5 AU.
What is formation of a terrestrial planet about?Jovian planets can be found at distances of 2 AU to 50 AU or more. This is the area where the early Solar System's temperature was below 273 K, water's freezing point.
Therefore, While rocky and metallic materials (Terrestrial planets) might have condensed over the whole range of distances from the Sun, only the rocky material could have accumulated over the range from 2 AU and inwards. H and He may have also been captured by the planet if it had been further from the Sun than 2 AU, which would have made it a Jovian or gas giant planet.
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A cart is sliding across a horizontal floor. It has a mass of 25 kg and a force of 250 N. Using Newton's second law, a = F ÷ m, what is the acceleration of the cart?
0.1 m/s2
5 m/s2
10 m/s2
25 m/s2
Answer:
10m/s2
Explanation:
250/25=10
Which of the following are projectiles (using the definition of a projectile)? (KEEP IN MIND, these are under normal circumstances unless otherwise stated) human walking meteor in Earth's atmosphere car driving airplane landing asteroid basketball being shot by Steph Curry ball on a rope , swinging around a pole (tetherball football thrown bird flying tennis ball served at 140 mph
The example of projectile is a basketball being shot by Steph Curry.
What is projectile?Projectile is any object propelled through space by the application of a force.
Projectile is used to describe any object that is cast, fired, flung, heaved, hurled, tossed, or thrown. For example, when a ball is thrown straight upward, or kicked.
In projectile motion, gravity is the only force acting on the object. This doesn’t necessarily mean that other forces do not act on it, just that their effect is minimal compared to gravity. The path followed by a projectile is known as a trajectory.
Other examples of projectile is as follows:
Firing a canonJavelin throwArcheryGun fireGolf ballTherefore, it can be said that a basketball being shot by a renowned basket baller into the air is an example of projectile.
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Which method occurs in a refrigerator?
A. Conduction
B. Convection
C. Radiation
Convection is the method which occurs in a refrigerator
What is Convection ?Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.
Cool air sinks, hence the freezer is located at the top of a refrigerator. The warmer air rises, creating a convection current inside the refrigerator that helps keep it cool. Convection in refrigerators is crucial, so why? The food in the freezer cools the air at the top, which then cools the food as it descends.Learn more about Convection here:
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if the wet bulb depression is 3° and the dewpoint is 24°, what’s the relative humidity?
The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.
What is relative humidity?Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.
The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:
RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]
Where
RH = Relative Humidity
T = Air Temperature
Dp = Dewpoint
β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)
e = 2.7182818 [exponential constant]
Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart
As given on the chart and in the question;
T = 28°
Dp = 24°
Hence,
RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]
RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]
RH = 100 x (4.874414/6.176578)
RH = 100 x 0.789177113929
RH = 78.9177113929
RH [tex]\approx[/tex] 78.92%
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Calculate the useful power output for an electric motor that uses 200 W and has an
efficiency of 40%
Correct option is B)
Power with which crane lifts the load =0.8×0.9 × input power
P=0.8×0.9×200 kW
Now, P=
F
.
v
Here, F=mg (since there is no acceleration)
10
3
×0.8×0.9×200=3.6×10
3
×10×v
⇒v=4 m/s
Explain how friction affects the mechanical energy of a system
A force of 10 N acts on a toy car of mass 2kg. What is the acceleration if the force is doubled?
Explanation:
According to newton's second law.
The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.
We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)
Here, the force experienced by the car is ⇒ F = 10 N
If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)
The mass of the car is ⇒ m = 2 kg (iii)
Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2
a = 10 m/s²
Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.
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A 40 N force is applied to a 10 kg block, but the object only accelerates at 2 m/s?. Explain why this happens using a free-body diagram.
Using a free body diagram to explain the situation, the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.
What is net force on an object?
The net force on an object is the sum of all the forces acting on an object.
According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
F - Ff = ma
where;
F is the applied force on the objectFf is the force of friction on the objectm is the mass of the objecta is the acceleration of the objectIn the absence of friction force, the maximum acceleration of the block is calculated as;
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.
In free body diagram (FBD) this can be represented as;
F → Ф ← Ff
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how long (in seconds) would it take a Narwhal to accelerate from rest down a 30 meter long ravine with an acceleration of 2.2 m/s^2
The time (in seconds) it will take the Narwhal to accelerate from rest down a 30 meter long ravine is 5.2 s
How do I determine the time?We know from equations of motion that distance, acceleration and time are related according to the following formula:
s = ut + ½at²
Where
s is the distanceu is the initial velocitya is the accelerationt is the timeWith the above formula, we can obtain the time as follow:
Initial velocity (u) = 0 m/sDistance (s) = 30 mAcceleration(a) = 2.2 m/s²Time (t) = ?s = ut + 1/2at²
30 = (0 × t) + (½ × 2.2 × t²)
30 = 0 + (1.1 × t²)
30 = 1.1 × t²
Divide both side by 1.1
t² = 30 / 1.1
Take the square root of both side
t = √(30 / 1.1)
t = 5.2 s
Thus, the time taken is 5.2 s
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Ametal cube of side 6cm at 20 degree Celsius on
heating to 600 degree Celsius increases by 0.3cm
calculating the coefficient of linear expansion
coefficient of superficial expression
coefficient of cubical expansion
We have the following from the question;
The coefficient of linear expansion is 8.6 * 10^-5
The coefficient of superficial expression is 1.72 * 8.6 * 10^-4
The coefficient of cubical expansion is 2.5 * 10^-4
What is the linear expansivity?Let us recall that the term linear expansivity has to do with the increase in length, per unit length, per degree Kelvin rise in temperature. Now we know that we have the following information from the question;
Initial length = 6cm
Increase in length = 0.3cm
Initial temperature = 20 degree Celsius
Final temperature = 600 degree Celsius
We then have;
coefficient of linear expansion = e/[tex]l_{1}[/tex]([tex]T_{2}[/tex] - [tex]T_{1}[/tex])
e = extension
[tex]l_{1}[/tex] = initial length
[tex]T_{2}[/tex] = Final temperature
[tex]T_{1}[/tex] = initial temperature
coefficient of linear expansion = 0.3/6(600 - 20)
= 8.6 * 10^-5
coefficient of superficial expression = 2( 8.6 * 10^-5)
= 1.72 * 8.6 * 10^-4
coefficient of cubical expansion = 3(8.6 * 10^-5)
= 2.5 * 10^-4
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give me a water analogy of an electric current with high current but low voltage
A battery is analogous to a pump in a water circuit
What is the water analogy for current ?A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.
Voltage, current, and power may all be explained using the water/hose analogy in relation to electricity. Generally speaking, charge, voltage, and current represent the flow, pressure, and charge of water, respectively. Water flowing continuously throughout time is referred to as power.An illustration of a water tank is frequently used to explain voltage, current, and resistance. This analogy compares charge to the volume of water, voltage to the pressure of the water, and current to the movement of the water.Learn more about Water analogy here:
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according to particle model of light what happens to the speed of light as it enters a optically denser medium.
According to particle model of light, speed of light decreases as it enters a optically denser medium.
Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:
where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.
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What ,begin emphasis,two,end emphasis, actions will ,begin emphasis,best,end emphasis, help people in Cape Town lessen the water shortage problem?
The following actions will help people in Cape Town to lessen the water shortage problem.
Diversifying the municipal water portfolio with water recycling, The desalination processUse of groundwater can reduce risk of water shortages due to droughtWhat is drought?A drought is described as a moisture deficit relative to the average water availability at a given location and season. A drought is also defined as drier than normal conditions.
Water shortage is becoming an increasing threat in Cape town because of climate change impacts which includes changing rainfall patterns and rising temperatures and increasing water demand.
In summary, the city of Cape town can develop engineering dams and 'importing' water through inter-basin transfer schemes to help in fighting drought.
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A weightless spring of force constant 2.50 N/cm is 15.0 cm long when nothing is attached to it. It is now used to pull horizontally on a 12.5 kg box on a smooth horizontal floor. You observe that the box starts from rest and moves 96.0 cm during the first 1.60 s of its motion. How long is the spring during this motion?
The length of the spring during the motion is 16.875 cm
How do I determine the length of the spring?We'll begin by obtaining the velocity during the first 1.60 s. This is illustrated as follow:
Distance = 96 cm = 96 / 100 = 0.96 mTime = 1.60 sVelocity =?Velocity = distance / time
Velocity = 0.96 / 1.6
Velocity = 0.6 m/s
Next, we shall determine the acceleration.
Initial velocity (u) = 0 m/sFinal velocity (v) = 0.6 m/sTime (t) = 1.6 sAcceleration (a) =?a = (v – u) / t
a = (0.6 – 0) / 1.6
a = 0.6 / 1.6
a = 0.375 m/s²
Next, we shall determine the force.
Mass (m) = 12.5 kg
Acceleration (a) = 0.375 m/s²
Force (F) =?
Force = mass × acceleration
Force = 12.5 × 0.375
F = 4.6875 N
Next, we shall determine the extension of the spring.
Force (F) = 4.6875 NSpring constant (K) = 2.50 N/cmExtension (e) =?F = Ke
Divide both sides by K
e = F / K
e = 4.6875 / 2.5
e = 1.875 cm
Finally, we shall dtermin the length of the spring. This can be obtained as follow:
Original length = 15 cmExtended length = 1.875 cmLength of spring =?Length of spring = 15 + 1.875
Length of spring = 16.875 cm
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Does the coaster car travel as high as point h
Answer:
no coaster car does not travel as high
A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters
The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.
Velocity- The rate of change of displacement is the definition of velocity.
The formula below is used to determine the cannon ball's initial velocity.
Formula:
v² = u²+2gH......... Equation 1
Where:
v = Final velocity
u = Initial velocity
H = Height
g = Acceleration due to gravity.
From the question,
Given:
v = 0 m/s (At the maximum height)
H = 4.75 m
g = 9.8 m/s
Substitute these values into equation 1
0² = u²+2×9.8×4.75
u² = 93.1
u = √(93.1)
u = 9.65 m/s
Hence, the initial velocity of the cannonball is 9.65 m/s.
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What is the speed of the car with a distance of 100 meters in 35 seconds?
Answer:
Formula
V = D/TResolve:
V = 100m / 35sV = 2m/5Hope this helped
Hello..!
We first apply the data to the problem.
Data:
Depth = 100 metersT = 35sV = ?Then, we apply the formula that is.
Formula:
V = D/TFinally we develop the problem.
Developing:
V = 100m / 35sV = 2m/sThe speed is 2 meters per second.
A wave on a rope is shown in the diagram. In the diagram, d = 3 m.
(a) What is the wavelength of this wave?
(b) If the frequency is 5 Hz, what is the speed of the wave?
The wavelength of the wave is 3m and the speed of the wave is 15 m/s
What is a wave?We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.
Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.
Again we have;
v = λf
v = speed of the wave
f = frequency of the wave
λ = wavelength of the wave
Then;
v = 3 m * 5 Hz
= 15 m/s
Thus the wave speed is obtained as 15 m/s.
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what form of energy can you produce by rubbing an eraser against a piece of paper?
Answer:
it gets hot
Explanation:
because you are rubbing it hard
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
Helpp :'v
Hello..!
¿What is a series circuit?
A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.
Problem:
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
If we put two lamps in a series circuit, the following can be obtained: the voltage that enters the first lamp will go out in the second lamp, that is, if we have a switch and we turn the lamps on and off, they will light up together.If we have a circuit of three lamps, the same thing happens.If the L(2) bulb burns out or we take it out, what will happen is that there will not be enough voltage for the L(1) and L(3) bulbs and that means these two bulbs will not work. If we remove the lamp L(1), not enough voltage passes to the lamp L(2) and it is not enough for the L(3), because the lamp L(2) shares voltage with the L(2)If we remove the lamp L(3) we can turn off the lamp L(2) and L(1) as there is not enough voltage to turn them on.Why does it happen?
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.
The answer is that if we remove the L(3) lamp, the others stop working.
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[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]
Answer:
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.
Hope this helped
How do diet and exercise Positively affect cv disease risk
Technology has changed and continues to change the way we live our lives, directly affecting our health and wellness. List three ways that modern technology has enhanced people’s health and three ways that it has diminished their health. Address personal, family, and community health. Do you believe that the good outweighs the bad? Why or why not?
Advanced medicine, good healthcare and easy diagnose are three ways that modern technology has enhanced people’s health
Technology has changed how individuals go about their daily lives. Practically every action you take, including regular work and conversation, is affected by it. Thanks to technology, carrying out tasks around the house or going to work has become easier. Many gadgets and pieces of equipment make it easier for people to live. Transportation, education, and medicine are just a few of the societal fields it has affected.
Another significant benefit of technology in people's lives is the modernization of the healthcare industry. The days of waiting in an outpatient department queue for hours to see a doctor are long gone. Patients may schedule hospital visits and look up the business hours of their doctors' offices using mobile devices.
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Jacob and his scooter have a combined mass of 15 kg What is the force it will take to accelerate his scooter at 3 m/s²?
Answer:
45 N
Explanation:
F = m a = 15 * 3 = 45 N
Show that an electron falling from n = 4 to n = 3 in the hydrogen atom will produce a photon in the infrared region.
The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.
What is the energy of the hydrogen atom?We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.
We now have;
1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])
λ = wavelength
RH = Rydberg constant
The initial and the final levels are also shown therefore;
1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)
1/λ= 1.097 * 10^7 (0.11 - 0.0625)
λ=1.92 * 10^-6 m
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It takes 5.91 J of work to stretch a Hooke’s-law spring 4.78 cm from its unstressed length.
How much the extra work is required to stretch it an additional 9.95 cm?
Answer in units of J.
The extra work is required to stretch the spring to an additional 9.95 cm is 25.61 J.
What is the spring constant of spring?
The spring constant of the spring is determined by applying the formula for elastic potential energy of a spring as shown below.
E = ¹/₂kx²
where;
k is the spring constantx is the extension of the springkx²= 2E
k = 2E/x²
k = (2 x 5.91)/(0.0478²)
k = 5,173.2 N/m
The work done to stretch the string to 9.95 cm is calculated as;
E = ¹/₂kx²
E = ¹/₂(5173.2)(0.0995)²
E = 25.61 J
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Regarding the likelihood of planets orbiting other stars,
I hate to leave you answer less, but there isn't even a question here to answer.
The figure shows an overhead view of a 1.40 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 38.0 g slides toward the opposite end of the rod with an initial velocity of 35.5 m/s. The disk strikes the rod and sticks to it. After the collision, the rod rotates about the pivot point.
A thin vertical rod has a point labeled pivot at its bottom, and a disk moving horizontally along an arrow labeled vector v that will reach the rod perpendicularly at the top.
(a) What is the angular velocity, in rad/s, of the two after the collision?
The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.
What is the angular velocity after collision?
The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;
I₁ω₁ = I₂ω₂
where;
I₁ is the initial moment of inertia of the rodI₂ is the final moment of inertia of the rodω₁ is the initial angular speed of the diskω₂ is the final angular velocity of the system after the collisionInitial moment of inertia of the rod is calculated as follows;
I₁ = ¹/₃ML²
where;
M is mass of the rodL is length of the rodI₁ = ¹/₃ x 1.4 x (1.2²)
I₁ = 0.67 kgm²
Final moment of inertia of the rod is calculated as;
I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)
I₂ = 0.69 kgm²
I₁ω₁ = I₂ω₂
0.67(0 + 35.5/1.2) = 0.69ω₂
19.82 = 0.69ω₂
ω₂ = 19.82/0.69
ω₂ = 28.7 rad/s
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