A wooden block contains some nails so that its density is exactly equal to that of water. if it is placed in a tank of water and released from rest when it is completely submerged, it will remain where it is released.
The concept of density seeks to measure the weight of an object in relation to its size. It is the measure of how packed together the particles of that object are. An object placed in a liquid displaces a certain volume of the liquid, based on the relative density of the object and the liquid.
If an object is less dense than a liquid in which it is placed, it displaces a smaller volume of the liquid than its volume, hence only some part of the object will be seen to be under the liquid, the other part will float.
If an object is denser than the liquid in which it is placed, it displaces a larger volume of the liquid than its own volume, making the object to sink and is submerged, sometimes to the bottom of the liquid, but mostly below the point at which it was released.
Finally, if the density of an object and the liquid into which it is submerged is the same. the object's mass per unit volume is the same as the liquid's mass per unit volume, hence the weight and force created due to density will balance and cancel each other out hence making the object to remain where it was submerged.
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Two point charges are brought closer together, increasing the force between them by a factor of 20. By what factor was their separation changed?
The separation between them is [tex]\frac{r}{\sqrt{20} }[/tex]
Concept :
If the force increases, distance between charges must decrease. Force is indirectly proportional to the distance squared.
Given,
Two point charges are brought closer together, increasing the force between them by a factor of 20.
Original force is
F = [tex]\frac{kq_{1} q_{2} }{r^{2} }[/tex] -------- ( 1 )
Here, [tex]q_{1} , q_{2}[/tex] are charges and r is the distance between them
New force F' = [tex]\frac{kq_{1q_{2} } }{r'^{2} }[/tex] ----------- (2 )
Divide ( 1 ) and ( 2 )
[tex]\frac{F'}{F}[/tex] = [tex]\frac{\frac{kq_{1}q_{2} }{r'^{2} } }{\frac{kq_{1}_{2} }{r^{2} } }[/tex]
20 = [tex]\frac{r^{2} }{r'^{2} }[/tex]
r' = [tex]\frac{r}{\sqrt{20} }[/tex]
Given that force between them are increasing and therefore distance between them decrease by [tex]\frac{r}{\sqrt{20} }[/tex]
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You are holding two balloons of the same shape and size. one is filled with helium, and the other is filled with ordinary air. On which balloon is the buoyant force greater?
Answer:
B (buoyant force) = weight of air displaced - weight of balloon
Both balloons will displace the same amount of air but the weight of the balloon filled with He is much less and will experience a greater buoyant force - actually if a balloon is filled with air its weight would be the same as the weight of the air displaced and there would be no buoyant force
A piano string of density 0. 005 0 kg/m is under a tension of 1 350 n. Find the velocity with which a wave travels on the string?
A piano string of density 0.005 0 kg/m is under a tension of 1350 N, then the velocity with which a wave travels on the string would be 519.61 m/s
What is a sound wave?It is a particular variety of mechanical waves made up of the disruption brought on by the movements of the energy. In an elastic medium like the air, a sound wave travels through compression and rarefaction.
As given in the problem a piano string of density 0.005 0 kg/m is under a tension of 1350 N,
V= √F/μ
V=√(1350/0.005)
V = 519.61 m/s
Thus, the velocity with which a wave travels on the string comes out to be 519.61 m/s
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What is free-fall acceleration toward the sun at the distance of the earth's orbit?
Answer:
The free fall acceleration toward the sun at the distance of the earth's orbit is 9.8m/s^2
Which is brighter in our sky, a star with apparent magnitude 2 or a star with apparent magnitude 7?
The star with apparent magnitude 2 is more brighter than 7.
To find the answer, we have to know about apparent magnitude.
What is apparent magnitude?100 times as luminous as a star with an apparent brightness of 7 is a star with a magnitude of 2. The apparent magnitude of bigger stars is always smaller. The brightest star in the night sky is Sirius. The brightness of a star or other celestial object perceived from Earth is measured in apparent magnitude (m). The apparent magnitude of an object is determined by its inherent luminosity, its distance from Earth, and any light extinction brought on by interstellar dust in the path of the observer's line of sight.Thus, we can conclude that, the star with apparent magnitude 2 is more brighter than 7.
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Explain the relation between Joule and Erg.
Answer:
Both erg and Joule are units of Energy in the CGS and S.I system respectively.
Joule and erg can also be written as (kg m2/s2) and (g cm2/s2) respectively.
Explanation:
1 Joule = 107 erg ⇒ 107 kg m2/s2.
==> One erg of energy is the amount of work done when one dyne of force acts through a distance of one centimeter.
==> One Joule of energy is the amount of work done when one Newton of force (100,000 dynes) acts through a distance of one meter (100 centimeters).
==> That makes one Joule the same amount of energy as 10 million (10⁷) dynes.
For a mass suspended on a spring in the vertical direction, the time for one complete oscillation will depend on:
The time for one complete oscillation will not depend on any of the factors listed. Option D
What is a pendulum?A pendulum is composed of a string that is vertically suspended and the end of the string has a mass attached to it. The period of the pendulum refers to the umber of oscillations that occur after the pendulum is displaced through small angle.
Given that the period of a pendulum is;
T = 2π√l/g
T = period of the pendulum
l = length of the pendulum
g = acceleration due to gravity
Hence, the time for one complete oscillation will not depend on any of the factors listed. Option D
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Missing parts;
For a mass suspended on a spring in the vertical direction, the time for one complete oscillation will depend on: a)the value for g (the acceleration due to gravity) b)the distance the mass was originally pulled down c)the maximum speed of the oscillating mass d)the time doesn't depend on any of the above
Present Your Findings
Write a summary paragraph discussing this experiment and the results. Use the following questions to help guide the content of your paragraph.
What was your hypothesis? According to your data, was your hypothesis was correct?
Why did some substances require larger additions before a color change was seen? What does this indicate about the strength of the acid or base?
What happened in the final step of the experiment? What does the final color indicate?
To what extent was this experiment useful in determining pH? Could a specific pH be determined using this procedure?
Why are acid and base indicators important? How could they be used in everyday life?
The sample summary paragraph which discusses an experiment and the results based on the reason why some substances require larger additions before a color change was seen is given below:
If the substance has a weak base solution (pH=8) and you add phenolphthalein, for example, you would only see a pink color change if a lot of phenolphthalein because it is used for stronger bases.
Also, when phenolphthalein is added to acids and weak bases, they tend to have a colorless coloration.
However, if phenolphthalein is added to a strong base, there would be a color change that is noticeable and it would be changed to pink.
What is a Strong Base?This refers to the compound that has the ability to remove a proton from a very weak acid.
Hence, we can see that a summary paragraph is given above based on the use of large addition of elements to some substances before there is a noticeable color change is mentioned above.
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What is the de broglie wavelength of this electron? [ke[ke = 12mv2;12mv2; 1 electron volt (ev)(ev) = 1. 602×10−19j]
broglie wavelength of this electron is 107.5pm.
what is de broglie wavelength?
The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
Given:
de broglie wavelength of this electron? [ke[ke = 12mv2;12mv2; 1 electron volt (ev)(ev) = 1. 602×10−19j] is 107.5pm
[tex]h = 6.63 \times 10 { }^{ - 34} [/tex]
[tex]k = 120ev[/tex]
[tex]me = 9 \times 10 {}^{ - 31} kg[/tex]
[tex]1ev = 1.6 \times 10 {}^{ - 19} [/tex]
[tex]p = \sqrt{2mk} [/tex]
[tex] = \sqrt{2 \times 9 \times 10 { }^{ - 31} \times 1.6 \times 10 {}^{ - 19} } [/tex]
[tex] = 5.88 \times 10 {}^{ - 24} kgm/s[/tex]
de broglie wavelength
λ=h/p
[tex] = \frac{6.63 \times 10 {}^{ - 34} }{5.88 \times 10 {}^{ - 24} } [/tex]
Thus from the above calculation the de broglie wavelength comes out to be 107.5pm
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A tiny sphere carrying a charge of 6. 5 µc sits in an electric field, at a point where the electric potential is 240 v. what is the sphere’s potential energy?
The sphere’s Electric potential energy is 1.6*[tex]10^{-6}[/tex]J
Given,
q=6. 5 µc, V=240 v,
We know that sphere’s Electric potential energy(E) = qV=6.5*[tex]10^{-6} *240[/tex]=1.6*[tex]10^{-6}[/tex]J
Electric potential energyThe configuration of a certain set of point charges within a given system is connected with the potential energy (measured in joules) known as electric potential energy, which is a product of conservative Coulomb forces. Two crucial factors—its inherent electric charge and its position in relation to other electrically charged objects—can determine whether an object has electric potential energy.
In systems with time-varying electric fields, the potential energy is referred to as "electric potential energy," but in systems with time-invariant electric fields, the potential energy is referred to as "electrostatic potential energy."
A tiny sphere carrying a charge of 6. 5 µc sits in an electric field, at a point where the electric potential is 240 v. what is the sphere’s potential energy?
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A disk rotates with constant angular acceleration of 5. 45~\text{rad/s}^25. 45 rad/s 2. starting from rest, it turns through 220 rad. how much time elapses while it turns through the 220 radians?
The time elapsed is 8.98 sec when it turns through the 220 radians.
given:
initial angular velocity (ω°) = 0 rad/secangular acceleration (α) =5.45 [tex]rad/sec^{2}[/tex]total angular displacement (Ф) = 220 radusing second equation of motion for rotation
we get ,
[tex]220=0.t + \frac{1}{2}.5.45.t^{2}[/tex]
t^2 =80.98
t=8.98sec
therefore time elapsed is 8.98sec .
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why does mars jupiter and earth not have the same gravitational force on a 150kg object
According to the Newton's law of universal gravitation 2.4, the force between any more than two or three types of heavier mass which really involves with mass falling to the ground is proved by the distance, the mass's rotational speed and the rotating direction. It happens the changes in space and time, and also in the diameter of it's own mass.
What are the differences between neap tides and spring tides? select all that apply.
Spring tides have higher high tides and lower low tides while on the other hand, neap tides are the tides that have lower high tides and higher low tides.
What are the differences between neap tides and spring tides?Spring tides are the type of tides in which higher high tides and lower low tides are present while on the other hand, neap tides are the tides that have lower high tides and higher low tides. The range of difference in water level between high and low tide is more larger in a spring tide as compared to neap tides.
So we can conclude that Spring tides have higher high tides and lower low tides while on the other hand, neap tides are the tides that have lower high tides and higher low tides.
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Which prompting system involves providing a prompt with a 0 second delay and never increasing that delay?
Simultaneous prompting method involves providing a prompt with a 0 second delay and never increasing that delay.
The simultaneous prompting method is a technique created to reduce errors. It entails using a controlling prompt (i.e., one that causes the learner to give the right answer every time) right away after the instruction.
As a result, the learner never makes a mistake and always has access to reinforcement. It is a teaching strategy without flaws. To avoid or minimise errors, this prompt is always given with a zero-second delay or right away after the target stimulus (cue). Prior to training sessions, probe sessions are used to evaluate skill mastery.
Therefore, Simultaneous prompting method involves providing a prompt with a 0 second delay and never increasing that delay.
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What was the possible impact of the maunder minimum on earth?
a) lower temperatures
b) higher temperatures
c) more hours of daylight
d) less hours of daylight
The possible impact of the maunder minimum on earth is a) lower temperatures
The Maunder Minimum, also known as the "prolonged sunspot minimum", was a period around 1645 to 1715 during which sunspots became exceedingly rare. During a 28-year period (1672–1699) within the minimum, observations revealed fewer than 50 sunspots.
The most recent grand solar minimum occurred during Maunder Minimum (1645–1710), which led to reduction of solar irradiance by 0.22% from the modern one and a decrease of the average terrestrial temperature by 1.0–1.5°C
During the Maunder Minimum, the Sun emitted less strong ultraviolet light, and so less ozone formed. The decrease in ozone affected planetary waves, the giant wiggles in the jet stream that we are used to seeing on television weather reports
correct option is
a) lower temperatures
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At resonance, a driven rlcrlc circuit has vcvc = 5. 0 vv , vrvr = 8. 0 vv , and vlvl = 5. 0 vv. part a what is the peak voltage across the entire circuit?
At resonance, a driven rlcrlc circuit has vcvc = 5. 0 vv , vrvr = 8. 0 vv , and vlvl = 5. 0 vv having a peak voltage across the entire circuit
For any voltage waveform, the peak voltage is the highest point or voltage value. When Pulse Width Modulation (PWM) devices, like variable frequency drives, are added to a power system with a peak voltage that is equal to the square root of two times the RMS voltage, a power quality problem results.
Find the peak voltage, for instance, if the RMS voltage is 85 V. The average voltage and maximum voltage of AC power coming from the wall are both about 110 V. Therefore, the real peak voltage is 120/0.707 = 170 V. The sinusoid's amplitude is divided in half by this. Peak-to-peak voltage (Vp-p), also known as the total amplitude, is 340 V, or twice the peak voltage.
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A standing wave is created in a microwave oven by reflecting microwaves from the walls of the oven. The cold spots, the nodes in the microwave standing wave, are found to be 6 cm apart. What is the frequency of the microwaves? [Ans: 2.5 * 109Hz]
The frequency of the wave is given as 2.5 * 10^9 Hz.
What is wavelength?The term wavelength is the distance that is covered by a wave. It is also referred to as the distance between two successive crests or two successive troughs. It can also be defined as half of the distance between two nodes.
Now nodes are the points in which there is no movement while antinodes are the points in which there is movement.
Given that;
c = λf
c = speed of light = 3 * 10^8 m/s
λ = 2(6cm) = 12 cm or 12 * 10^-2 m
f = ??
Thus;
f = c/ λ
f = 3 * 10^8 m/s/12 * 10^-2 m
f = 2.5 * 10^9 Hz
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Given two different resistances, how does the rate of joule heating in them differ if they are connected to a fixed voltage source in series and in parallel?
In series combination less rate of joule hating should be observed as compared to when connected in parallel combination .
Joule heating, also known as resistive, resistance, or Ohmic heating, is the process by which the passage of an electric current through a conductor produces heat.
Joule's first law states that the power of heating generated by an electrical conductor equals the product of its resistance and the square of the current:
When two or more resistors are connected end to end consecutively, they are said to be connected in series combination. The combined resistance of any number of resistances connected in series is equal to the sum of the individual resistances.
When two or more resistances are connected between the same two points, they are said to be connected in parallel combination. The reciprocal of the combined resistance of a number of resistances connected in parallel is equal to the sum of the reciprocals of all the individual resistances.
Rate of joule heating can be calculated by the formula
Power = [tex]V^{2}[/tex] / R
V = voltage
R = resistance
When both are connected in series than their equivalent resistance will be more as compared to when they are connected in parallel.
Power is inversely related to resistance , if voltage is constant
In series combination less rate of joule hating should be observed as compared to when connected in parallel
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Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 486. 1 nm.
The frequency of the green light emitted by a hydrogen atom with a wavelength of 486. 1 nm will be 6.17 * [tex]10^{-14}[/tex] Hz
The wavelength of light is the distance between corresponding points in two adjacent light cycles, and the frequency of light is the number of cycles of light that pass a given point in one second.
Visible light falls in the range of the EM spectrum between infrared (IR) and ultraviolet (UV). It has frequencies of about 4 × 1014 to 8 × 1014 cycles per second, or hertz (Hz) and wavelengths of about 740 nanometers (nm) or 2.9 × 10−5 inches, to 380 nm (1.5 × 10−5 inches)
f = c/lambda
where
f = frequency of light = ?
lambda = wavelength of light = 486. 1 nm = 486.1 * [tex]10^{-9}[/tex] m
c = speed of light = 3 * [tex]10^{8}[/tex] m/s
f = 3 * [tex]10^{8}[/tex] / 486.1 * [tex]10^{-9}[/tex] = 6.17 * [tex]10^{-14}[/tex] Hz
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A 5,000 kg train is traveling at a velocity of 100 m/s and hits another train. The two trains stick together, and the new velocity is 50 m/s. What is the mass of the second train?
Answer:
We assume the second train was standing still and that momentum is conserved.
Then the product of mass and velocity before the collision is
(5000 kg)·(100 m/s) = 500,000 kg·m/s.
After the collision, where M is the mass of the second train, the momentum is
((5000+M) kg)·(50 m/s) = 500,000 kg·m/s
Dividing by 50 m/s and subtracting 5000 kg, we have
(5000 +M) kg = 10,000 kg
M kg = 5000 kg
The mass of the second train is 5000 kg
a car travels. one third of the distance on a straight road with velocity v1 and next one third with velocity v2 and last one velocity v3. what is the average velocity
Answer:
the average velocity is final velocity - intial velocity/2
= V3 - V1 /2
= V1/2
= 0.5m/s or 1/2 m/s
Suppose that at midnight you observe the moon due south on the meridian. where will it be two nights later at the same time?
It will be about 26 degrees north of observer's meridian.
To find the answer, we have to know more about observer's meridian.
Where will be the moon after two days?The Moon appears to rise in the east and set in the west every day, but this is actually caused by the Earth spinning, much like with the Sun and the evening stars. Every day, the Moon moves 12–13 degrees east. Moonrise happens each day around 50 minutes later because of this shift, which requires Earth to rotate a little bit longer in order to bring the Moon into view. The Moon appears in a different area of the sky when it rises later in the day. The large circle that passes through the celestial poles, as well as the zenith and nadir of an observer's location, is known as the meridian. As a result, it also comprises the north and south horizon points and is perpendicular to both the celestial equator and the horizon.Thus, we can conclude that, the moon due south on the meridian will be
about 26 degrees north of observer's meridian, after two nights at the same time.
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If the resistance in a circuit connected to a constant current is halved, how is the voltage in the circuit affected?.
Answer:
Voltage will be 1/2 original
Explanation:
V = I R if I is constant
V = k R now multiply both sides by 1/2
1/2 V = k 1/2 R <===== you can see the voltage is halved too
Consider the 5-bit generator, g=10011, and suppose that d has the value 1010101110. what is the value of r? show all the steps including the checking at the receiver
Consider the 5-bit generator, g=10011, and suppose that d has the value 1010101110. Then the value of r is 0100.
We obtain 1011011100 when we divide 10011 by 1010101010 0000, with a remainder of R=0100 in 5-bit generator
A generator converts mechanical energy into electrical energy. When you are not linked to the power grid, it supplies electricity to your devices and appliances. Generators are critical safety equipment during natural disasters like hurricanes and snowstorms, as well as any power outage.
It operates on the principle of the faraday law of electromagnetic induction. According to the faradays law, whenever a conductor is placed in a fluctuating magnetic field, EMF is induced and thus induced. A standby generator can power a medium-sized home for up to 3,000 hours on average, while it is not suggested that you run a generator for more than 500 hours continually. Although both EMF and terminal potential difference (V) are measured in volts, they are not the same thing.
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A pump lifts 200 kg of water to a water tank placed at a height of 25m in 20 s. Find its power. g = 10 m/s² [Ans: 2500 W]
Answer:
2500W
Explanation:
P = W/t
As we know that
W = mgh
so:
P = mgh/t
put values
P = (200)(10)(25) / 20
P = 2500W
A car goes 122m at 30m/s How long did it travel?
Answer:
It took [tex]\bf 4.07 \space\ \mathrm{s}[/tex] to travel.
Explanation:
To calculate the time taken to travel a distance of 122 m at a speed of 30 m/s, we can use the formula for speed:
[tex]\boxed{speed = \frac{distance}{time}}[/tex].
We can substitute the known values, and then solve for time:
[tex]30 = \frac{122}{\mathrm {time}}[/tex]
⇒ [tex]\mathrm{time } = \frac{122}{30}[/tex]
⇒ [tex]\mathrm{time } \approx \bf 4.07 \space\ \mathrm{s}[/tex]
A company has been hired to perform environmental remediation on an area of marshland. what would they most likely do? remove pollutants and use technology to monitor the health of the marshland install a new recycling plant in the area recommend burning the marshland and replanting it convert the marshland to residential areas
Answer:
answer is make marshland better
Explanation:
so if they made marshland better then as a result of that action of making marshland better then marshland would be better!
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A particle moving in a straight line with uniform deceleration has a velocity of 40m/s at point P, 20m/s at point Q
and comes to rest at point R where QR=50m .Calculate the
1.Distance PQ
2.Time taken to cover PQ
3.Time taken to cover PR
The distance between PQwill be 10,time taken to cover PQ will be 0.25sec and time taken to cover PR will be 3sec.
What is uniform deceleration?
Uniform deceleration is when velocity decrease by equal intervals of time .
Given ,
Velocity at P is 40 m/ s,
Velocity at Q is 20 m/ s
Distance between QR will be 50m.
let the whole distance between PR will be x,
so time taken of PQ, equating both times of PQ and QR we will get this,
x-50/40 = 50/ 20
after calculating ,
x = 60m , this the distance of whole straight line
60-50=. 10 m
the distance between PQ will be 10
2) time taken to cover PQ
. V= d/ t
t= 0.25s
3) time taken to cover PR
20=60/ t
t= 3sec.
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1. PQ=150m.
2. PQ: [tex]t=5s[/tex]
3. QR: [tex]t=5s[/tex]
What is velocity?The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s) over the change in time (t). Speed (or rate, r) is a scalar number, denoted by the equation r = d/t, that quantifies the distance traveled (d) over the change in time (t).
QR=50m.
[tex]V_{Q} (u)=20ms^{-1} ,V_{R} v[/tex]
[tex]v^{2} =u^{2}+2as[/tex]
[tex]0=20^{2} +2a*50[/tex]
100a=-400
[tex]a=-4ms^{-2}[/tex]
1. Distance PQ:
[tex]u_{p} (u)=40msx^{-1} , v_{Q (v)=20ms^{-1}[/tex]
[tex]v^{2} =u^{2} +2as[/tex]
[tex]20^{2} =40^{2} -2*4s[/tex]
400=1600-400
8s=1600-400
[tex]s=\frac{1200}{8} =150m[/tex]
PQ=150m
2.Time taken to cover PQ:
v=u+at
20=40-4t
4t=40-20
[tex]t=\frac{20}{4}=5s[/tex]
3. Time taken to cover PR:
v=u+at
0=20-4t
[tex]t=\frac{20}{4}=5s[/tex]
1. PQ=150m.
2. PQ: [tex]t=5s[/tex]
3. QR: [tex]t=5s[/tex]
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What is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth? (the gravitational constant g = 6.67 x 10-11 m3/kg*s2)
343 N is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth .
Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
According to Newton's universal law of gravitation, The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
According to newtons second law
Force = mass * acceleration
since , we need to find gravitational force so, acceleration will be equal to acceleration due to gravity on earth.
Force = mg
= 35 * 9.8
= 343 N
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What is a supply chain designed to optimize both forward and reverse flows?
a. open-loop supply chain
b. closed-loop supply chain
c. bullwhip-loop supply chain
d. reverse-loop supply chain
The correct option is b. closed-loop supply chain
Closed-loop supply chain is designed to optimize both forward and reverse flows.
What is closed-loop supply chain?Businesses recycle their waste volume to make new products in such a closed-loop supply chain. This method of resource conservation and energy conservation is sustainable.
Some characteristics of closed-loop supply chain are-
Although there are many natural resources on the planet, such as freshwater and oil, they are limited and will eventually run out. Fortunately, numerous governments all across the world have created and put into effect ways to lessen resource waste.Likewise, companies can contribute to the preservation of natural resources by implementing the closed-loop supply chain (CLSC). The appeal of a CLSC or negligible supply chain is that it centers on material reuse, composting, and recycling. As a result, the closed-loop supply chain encourages manufacturers to come up with creative uses for End-of-Life (EOL) products rather than disposing of them in landfills.To know more about supply chain, here
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