The density of the metal sphere is 2 times the density of the liquid as proved.
Net upward force acting on the metal sphere
The net upward force acting on the sphere as it is dropped into the liquid is calculated as follows;
F = σVg - ρVg
ma = σVg - ρVg
where;
ρ is density of the liquidσ is the density of the metala is acceleration of the metalσV(a) = σVg - ρVg
σ(a) = σg - ρg
σ(g/2) = σg - ρg
g(σ/2) = g(σ - ρ)
σ/2 = σ - ρ
σ/2 - σ = - ρ
-σ/2 = - ρ
σ = 2ρ
Thus, the density of the metal sphere is 2 times the density of the liquid as proved.
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A motor with a power of 7.0 × 104 watts lifts a loaded elevator to a height of 20.00 meters for 40 seconds. what is the force exerted by the motor on the elevator? a. 1.4 × 104 newtons b. 7.0 × 104 newtons c. 1.4 × 105 newtons d. 2.1 × 105 newtons e. 3.5 × 105 newtons
Answer:
c. 1.4×10^5 N
Explanation:
Work is the product of power and time. It is also the product of force and distance. We can equate these two products to find the distance.
__
Wt = Fd
(7.0×10^4 N·m/s)(40 s) = F(20 m)
F = (7.0×10^4)(40/20) N = 1.4×10^5 N
The force exerted by the motor is 1.4×10^5 newtons.
25. a small container of water is placed on a turntable inside a microwave oven, at a radius of 12.0 cm from the center. the turntable rotates steadily, turning one revolution in each 7.25 s. what angle does the water surface make with the horizontal?
The angle that the water surface make with the horizontal is 0.527°.
How to calculate the angles?The water vapor moves at speed. Therefore,
v = 2πr/T = (2 × π × 0.120)/7.25
= 0.104m/s
Also, the top layer of water deals a downward force if gravity which will be:
= mv²/r = 0.104/0.12 = 0.0901
There, the angle will be:
= tan(0.0901/9.8)
= 0.527°
In this case, the angle that the water surface make with the horizontal is 0.527°.
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Calculate the energy used by a radio of power 30W in 1 minute.
Answer:
1800 j or 1.8 kj
Explanation:
Energy used = power (measured in watts) multiplied by time (measured by seconds)
1 minute is 60 seconds
30 multiplied by 60 is 1800
Answer:
1800 joule
Explanation:
Power (P) = 30W
Time (T) = 1 min =60 sec
P =(W/T)
30 = W / 60
W = 1800 joule
We know that Energy Is equivalent to Work done. So Energy used is 1800 joule.
A mass is stretched 4 centimeters from the equilibrium position of a spring. if the displacement is doubled, what can be concluded about the restoring force? a. it is halved. b. it is doubled. c. it stays the same. d. it is increased by 4. e. it is decreased by 1 4
From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;
F = kx
The given data in the problem is;
F is the spring force =?
K is the spring constant= 8.5 N/m
x is the length by which spring got stretched = 1.2m
Given condition:
Displacement is doubled(x'=2x)
The spring force is directly propotional to the displacement of the spring;
F ∝ x
F' ∝ x'
If the displacement is doubled, the spring force will also double.
Hence option B is correct.
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Answer: From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.
What is spring force?
The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;
F = kx
The given data in the problem is;
F is the spring force =?
K is the spring constant= 8.5 N/m
x is the length by which spring got stretched = 1.2m
Given condition:
Displacement is doubled(x'=2x)
The spring force is directly propotional to the displacement of the spring;
F ∝ x
F' ∝ x'
If the displacement is doubled, the spring force will also double.
Hence option B is correct.
Explanation:
A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0-cam stretch to a 5.0-cm stretch?
The work done to stretch the spring will be 112 J.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
The given data in the problem is;
F is the spring force =?
K is the spring constant= 8.5 N/m
x is the length by which spring got stretched = 1.2m
The work is done to stretch the spring is;
[tex]\rm W= \frac{1}{2} kx^2 \\\\ W=\frac{1}{2} \times 350 \times (0.850-0.050)^2 \\\\ W=0.5 \times 350 \times (0.80)^2 \\\\W=112 \ J[/tex]
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According to Newton's 2nd Law of Motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is
10 m/s/s
10 m/s
100 m/s/s
1 m/s/s
According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
How to calculate acceleration?The acceleration of a moving body can be calculated by dividing the force of the body by its mass.
According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:
acceleration = 10N ÷ 10kg
acceleration = 1m/s²
Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
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PLEASE HELP ASAP!!
The invention and use of the microscope showed scientists that germs could cause illness. Although there had been various understandings before for why people become ill, the discovery that microscopic germs can make people sick completely changed scientific understanding of why diseases exist and spread.
This change is an example of what?
how a law changes when new evidence disproves it
how a law stays the same as new scientific inquiries are made
how a theory changes as new areas of science open up
how a theory stays the same when new research confirms it
According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)
What is a scientific theory?A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.
According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.
So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.
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Answer:
Explanation:
According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)
What is a scientific theory?
A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.
According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.
So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.
A conducting sphere with radius R carries total charge Q. What is the magnitude of the electric field at distances R/2 and 2R from the center of the sphere
Hello!
Distance of R/2:
Since a conducting sphere is referenced in this situation, all of its charge will be distributed along its SURFACE. Therefore, there is NO enclosed at a distance of R/2 from the center.
Using Gauss's Law:
[tex]\oint E \cdot dA = E\cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]
E = Electric field strength (N/C)
A = Area of Gaussian surface (m²)
Q = Enclosed charge (C)
ε₀ = Permittivity of free space C²/Nm²)
If the enclosed charge is 0, then:
[tex]E \cdot A = \frac{0}{\epsilon_0}\\\\\boxed{E = 0 \frac{N}{C}}[/tex]
Distance of '2R':
We can once again use Gauss's Law to solve. This time, however, a surface of radius '2R' encloses ALL of the charge of the sphere.
[tex]E \cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]
'A' is equivalent to the surface area of a sphere of radius '2R', or:
[tex]A = 4\pi (2R)^2\\\\A = 4\pi (4R^2)\\\\A = 16\pi R^2[/tex]
Substituting this expression back into Gauss's Law:
[tex]E \cdot 16\pi R^2 = \frac{Q}{\epsilon_0}\\\\E = \frac{Q}{16\pi R^2\epsilon_0}[/tex]
To simplify:
[tex]E = \frac{1}{4\pi \epsilon_0 } * \frac{Q}{4R^2}\\[/tex]
OR using k = 1/4πε₀:
[tex]\boxed{E = \frac{kQ}{4R^2}}[/tex]
At time t=0 , in your frame of reference Z, you measure the back of the spaceship to be at x=0 and the front of the ship to be at x=l . Find an equation relating the length that you measure l to the ship's proper length l0 .
An equation relating the length that you measure l to the ship's proper length l0 is
l =l0/y. This is further explained below.
What is an equation relating the length that you measure l to the ship's proper length l0?Generally, Any object's length in a moving frame will look shortened or contracted when seen in that direction. The Lorentz transformation may be used to determine the amount of contraction.
In conclusion, To use the Lorentz Lorentz transformation, the length Lo-x2 - may be determined if it is measured in the moving reference frame. Hence the Resultant l = l0/y.
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how does the egg drop project apply to everyday life
Answer:
Explanation:
It apply on how you will protect the egg because you protect the egg at all cost. It's very similar on who is protecting you, You need someone to be there for you always because an egg can't survive on it's own. Just like your life your can't be always rolling around like an egg you need to be safe and always with the person who cares for you. An egg is safe when they are together in a tray just like family and friends.
To fully complete this project, you will submit the following: complete the data table with values that you determine from the video and calculated. find the average wave speed as asked for in question 3. find the mathematical speed of sound as asked for in question 4. show your calculation. answer to question 5 in complete sentences.
Since no data table was provided, the wave speed be calculated by taking the mean of speed values.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
What is speed of sound in air?Sound is an example of a mechanical wave and require a material medium for it's transmission.
The speed of sound in air has been determined to be about 343 m/s at 20 °C.
The average wave speed can be calculated using the formula:
Average wave speed = (initial speed + final speed)/2The formula relating speed of a wave, frequency, and wavelength is given below:
Speed = wavelength × frequency.It is important to note that in this question, no data table or video was provided.
Therefore, the wave speed be calculated by taking the mean of speed values obtained in the experiment as shown in the video.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
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If a person with a mass of 90 kg has an acceleration of 1 m/s/s when pushing off a wall, calculate the force.
91 newtons toward wall
90 newtons away from wall
89 newtons away from wall
90 newtons toward wall
The force of the person is 90 newtons away from the wall.
What is force?Force can be defined as the product of mass and acceleration.
To calculate the force of the person when pushing off the wall, use the formula below.
Formula:
F = ma................. Equation 1Where:
F = Force off the wallm = mass of the persona = acceleration of the personFrom the question,
Given:
m = 90 kga = 1 m/s² off the wallSubstitute these values into equation 1
F = 90×1F = 90 Newtons away from the wallHence, the force of the person is 90 newtons away from the wall.
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help me Which two activities are practical applications of magnetism?
A) Using a compass to find your way to a campsite
B) Using a leather tool belt to organize metal tools
C) Using aluminum instead of steel to make outdoor furniture
D) Using a metal detector to find buried iron objects
Compass and metal detector are the practical applications of magnetism.
Which two activities are practical applications of magnetism?Using a compass to find your way to a campsite and a metal detector to find buried iron objects are the practical applications of magnetism because in these tools magnet is used. Without magnet, they can't perform their function.
So we can conclude that compass and metal detector are the practical applications of magnetism.
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Calculating the volume of an irregular solid
Answer:
final volume - original volume
Answer:
See below
Explanation:
Place the solid in a graduated cylinder filled with water ( or other non-reactant liquid) and measure the change in volume in the graduated cylinder
The only way we get information about what's happening at large astronomical distances away, such as the length of our galaxy, is through the detection of light. true false
Answer:
true
Explanation:
Light Years are the longest unit-distance. Our galaxy is numerous light years across.
the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
Definition of wavelength, frecuency and propagation speedFirst of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.
Wavelength for radio wavesIn this case, you know:
v= 3×10⁸ m/sf= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)λ= ?Replacing in the definition of propagation speed:
3×10⁸ m/s = 100,000,000 Hz× λ
Solving:
λ= 3×10⁸ m/s ÷ 100,000,000 Hz
λ= 3 m
In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.
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The words can only be used onece. Use the words to complete the sentences below: Switch, break, on, complete, electricity, bulb, off, battery A circuit which has a _____________________ in it will not allow _____________________ to flow through it. A device called a ______________________ can be used to ______________ a circuit so that other devices can be switched ____________ or ______________________.
Answer:
A circuit which has a battery in it will not allow electricity to flow through it. A device called a switch can be used to complete a circuit so that other devices can be switched on or off.
Explanation:
^^^
A jambo jet mass 4×10^2 kg travelling at a speed pf 5000 m/s lands on the airport . It takes 2 min to come to rest .calculate the average force applied by the groind on the aeroplane
The average force applied by the ground on the Aeroplane is 16.664 kN.
What is Newton's second law of motion?It states that the force F is directly proportional to the acceleration a of the body and its mass.
F =ma
Given is the mass of aeroplane, m =400 kg and the velocity v = 5000 m/s,
It takes t = 2 min to come to rest, then the acceleration will be
a = velocity /time
a = 5000/(2x60)
a = 41.66 m/s²
According to the Newton's second law of motion.
F = 400 kg x 41.66 m/s²
F = 16.664 kN
Thus, the average force applied by ground on aeroplane is 16.664 kN
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Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W?
Answer:
40 V
Explanation:
I will assume that the resistors are
100 and 3900 and 1000 OHMS <=====(NOT W)
In series , the resistances add together 100 + 3900 + 1000 = 5000 ohms total
V = IR
I = V / R so the total current will be 200 v / 5000 ohms = .04 amps
this is the current through all of the resistors
so for the 1000 ohm resistor V = IR .04 (1000) = 40 V
How much does a
0.150 kg baseball weigh?
[?] Not
The weight of the baseball is 1.47 N.
What is weight?Weight is the gravitational pool of a body or an object.
To calculate the weight of the body, we use the formula below.
Formula:
W = mg.............. Equation 1Where:
W = Weight of the baseballm = Mass of the baseballg = Acceleration due to gravity.From the question,
Given:
m = 0.150 kgg = 9.8 m/s²Substitute these values into equation 1
W = 0.150×9.8W = 1.47 N.Hence, the weight of the baseball is 1.47 N.
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Sam runs 9 kilometers in 2.5 hours. what is his speed?
Considering the definition of speed, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
Definition of speedSpeed is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
[tex]speed= \frac{displacement}{time}[/tex]
Speed of SamIn this case, you know:
displacement= 9 kmtime= 2.5 hReplacing in the definition of speed:
[tex]speed= \frac{9 km}{2.5 h}[/tex]
Solving:
speed= 3.6 [tex]\frac{km}{h}[/tex]
Finally, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
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Two objects perform the same task. One has thousands of moving parts while the other has no moving parts. What are they?.
The two objects perform the same task of measuring time and they are hourglass and sundial.
What is an hourglass?
An hourglass is a device used to measure the passage of time.
The hourglass contains two glass bulbs connected vertically by a narrow neck that allows a regulated flow of a substance from the upper bulb to the lower one.
What is a sundial?A sundial is a horological device that is used to measure time of the day when there is sunlight by the apparent position of the Sun in the sky. Unlike hourglass, its doesn't move.
Thus, the two objects perform the same task of measuring time and they are hourglass and sundial.
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Which air mass would produce cold, dry weather in the winter
a. continental polar
b. maritime polar
c. continental tropical
d. maritime tropical
The air mass would produce cold, dry weather in the winter is continental polar. The correct option is a.
What is air mass?A huge collection of air with evenly uniform degrees of temperature, humidity, and pressure.
Continental air masses which are formed cold and dry. Air mass that forms over northern Canada is known as continental polar air mass. As it moves to South, it brings dry weather like conditions in the United States.
Thus, the correct option is a.
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what makes science an exact science
Explanation:
accurate quantitative expression, precise predictions and/or rigorous methods of testing hypotheses involving quantifiable predictions and measurements.
Answer:
because it is capable of accurate quantitative expression, meaning they show an absolute precision in their results.
Measuring Current as a Function of Voltage with a 20 Q Resistor
Voltage
M
Current Calculated
(A)
Current Experimental
(A)
1
5
10
20
50
Measuring Current as a Function of Resistance at 25 V
Resistance
Current Calculated
(10)
(A)
10
20
100
200
Determining Current in a Parallel Circuit
Observed
Resistor Set
(0)
Total
Resistance
Calculated
Current
(A)
Current
(A)
(10)
20, 20, 20
20, 20, 200
Voltage needed to raise current to 3.75 A (20, 20, 200 resistor set):
Calculated
Observed:
Calculating Power of Circuit Components
Current through Each Bulb
(A)
Table B
Table C
Table D
Observed Total Current
(A)
Current Experimental
(A)
Observed Current
through Each Resistor
(A)
Power Usage per Bulb
(
Answer:
Resistance at 25 V
Explanation:
(10)
(A)
10
20
100
200
Determining Current in a Parallel Circuit
Observed
Resistor Set
(0)
Total
Resistance
Calculated
Current
(A)
Current
(A)
(10)
20, 20, 20
20, 20, 200
Voltage needed to raise current to 3.75 A (20, 20, 200 resistor set):Calculated
Observed:
Calculating Power of Circuit Components
Current through Each Bulb
(A)
Table B
Table C
Table D
Observed Total Current
(A)
Current Experimental
(A)
Observed Current
through Each Resistor
(A)
Power Usage per Bulb
(
A very thin plastic rod of length is rubbed with cloth and becomes uniformly charged with a total charge of . Consider an arbitrary piece of rod of length located at a position on the rod. Find an expression for the electric field due to an arbitrary source location at observation location on the x-axis, a distance to the right of the end of the rod as indicated. Next, integrate to find the total electric field caused at by the entire rod. Use for Coulomb's constant
The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Expression for the electric fieldAn expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;
E = kq/r²
where;
k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]
Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
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Two 1-kg objects, C and D, increase in temperature by the same amount, but the
thermal energy transfer of object C is greater than the thermal energy transfer of
object D. If object C has a specific heat of 235 J/kg-K, which material might object
D be made of?
(A) aluminum
(B) brass
(C) iron
(D) lead
The object D is made up of material Lead. The correct option is D.
What is specific heat?The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.
Two 1-kg objects, C and D, increase in temperature by the same amount, but the thermal energy transfer of object C is greater than the thermal energy transfer of object D. The object C has a specific heat of 235 J/kg-K.
Q = m C ΔT
Qc > Qd
The energy transfer is proportional to specific heat.
Specific heat of D must be less. The possible material with specific heat less than the given value is for Lead material.
Thus, the correct option is D.
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A boy is swinging a yo-yo with mass 0.5 kg in a circle with radius 0.7 m at a
speed of 7 m/s. what is the tension in the string connecting the yo-yo to the
boy's finger, disregarding the effect of gravity?
a. 35 n
b. 20 n
c. 9 n
d. 12 n
Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.
Given the following data:
Mass, m = 0.5 kg.Speed, v = 7 m/s.Radius, r = 0.7 meters.How to calculate the tension in this string?Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.
Mathematically, centripetal force can be calculated by using this formula:
Fc = mv²/r
Fc = (0.5 × 7²)/0.7
Fc = 24.5/0.7
Fc = 35 Newton.
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An object whose mass is 0.092 kg is initially at rest and then attains a speed of 75.0 m/s in 0.028 s. What average net force acted on the object during this time interval?
Answer:
F = 246.4 N
Explanation:
Concepts:Newton's Laws Of MotionFirst Law: (Law of Inertia)
Inertia refers to the tendency of an object to resist any change in its state of motion. Inertia is a measure of the objects mass.Second Law:
refers to an object's motion when a net force does not equal zero. Acceleration is directly proportional to the net force and inversely proportional to the object's mass.Third Law: (Action - Reaction)
Whenever one object exerts a force on a second object, the second objects exert an equal but opposite force on the first.Weight:
Force of gravity is the weight of an object and is measured in Newtons.Friction:
Frictional forces always oppose motion. The frictional forces ([tex]F_f[/tex]) is proportional to the coefficient of friction (Ц) and to the normal force [tex](F_n) F_f=uF_n[/tex].The normal force is a contact force which acts perpendicular to the common surface of contact.Now onto the steps:
----------------------------------
F = mΔV ÷ t
F = 0.093 x 75 ÷ 0.028
F = 246.4 N
Therefore, the average net force acted on the object during this time interval is 246.6 Newtons.
whats the function of the epididymis
Answer:
It carries and stores sperm cells that are created in the testes.