The radius of Earth to have the same mass density as matter in a nucleus is 1.80 x 10^3 m.
The density of a body is given by the following expression;
Density = Mass/Volume
Let the radius of Earth be r.
As the earth is a sphere, hence its volume will be 4/3 x π x r^3
So, the equation becomes
Density = Mass/(4/3 x π x r^3)
The mass of the earth is given as 5.98 x 10^24 kg and the density of the nucleus is given to be 2.4 x 10^14 m.
2.4 x 10^14 = 5.98 x 10^24/ (4/3 x 3.14 x r^3)
On Solving the above equation, the radius r comes out to be
r = 1.80 x 10^3 m.
Hence, The radius of Earth to have the same mass density as matter in a nucleus is 1.80 x 10^3 m.
To know more about "density", refer to the link given below:
brainly.com/question/15164682?referrer=searchResults
#SPJ4
Suppose that a classroom has 10 light bulbs. The probability that each individual light bulb works is 0. 6. Suppose that each light bulb works independently of the other light bulbs. What is the probability that all 10 of the light bulbs work?.
The probability is 0.006
The probability of a light bulb that works is 0.6 and that a bulb would not work is 0.4 (0.6+0.4 = 1.0)The key to this question is the state that says each bulb's working condition is independent of others.That means you could treat the probability of a bulb individually towards the final/asked probability.You may recall your memory of the fact, the probability of 2 individual events happening at the same time is given by [tex]P(A\cap B) = P(A)\times P(B)[/tex], and this is applied to 10 events here in this question.You only need to focus on the happening that each bulb works and if that happens, only the probability of a bulb that works is to be considered.Therefore, the probability of all bulbs working would be calculated as follows,
[tex]\begin{aligned}\\\\P &= 0.6\times0.6\times0.6\times0.6\times0.6\times 0.6\times0.6\times0.6\times0.6\times0.6\\\\&= 0.0060466\\\\&\approx0.006\end{aligned}[/tex]
#SPJ4
Can an object with constant acceleration reverse its direction of travel? can it reverse its direction twice? in both cases, explain your reasoning
Answer:
It is not possible to change direction twice, given constant acceleration. To convince yourself, imagine any general v−t graph - it would be straight line in case of constant acceleration. Change in direction corresponds to v going from positive to negative or vice versa.Explanation:
Answer:It is not possible to change direction twice, given constant acceleration.
Explanation:To convince yourself, imagine any general v−t graph - it would be straight line in case of constant acceleration. Change in direction corresponds to v going from positive to negative or vice versa.
9. Which of these motions would be an example of 1D motion?
A ball being kicked off a hill
b. A football being kicked through the goal post
A ball being thrown up into the air
d. None of the above
5) Explain cell phone charging transformation:
Answer:
Charging a phone is the exact opposite of discharging a battery's energy. By supplying current (the manipulated variable), a charger transfers lithium ions from the positive electrode to the negative electrode, thus restoring energy
Explanation:
people hoping to travel to other worlds are faced with huge challenges. one of the biggest is the time required for a journey. the nearest star is 4.1×1016m away. suppose you had a spacecraft that could accelerate at 1.1 g for half a year, then continue at a constant speed. (this is far beyond what can be achieved with any known technology.)
The velocity is v = 3,240,266,666 m/s
How to find the velocity?The question here is about the initial velocity.
If so, the following working equation should be applied:
x = vt + 0.5at²
where
x is the distance
v is the velocity
t is the time
a is the acceleration
The acceleration due to gravity is 1.1g or 1.1(9.81 m/s²) = 10.791 m/s².
There are approximately 3.154×10⁷ seconds in a year.
4.1×10¹⁶ m = v(2/3 yr * 3.154×10⁷ s/yr) + 0.5(10.791m/s²)(2/3 yr * 3.154×10⁷ s/yr)²
Solving for v,
v = 3,240,266,666 m/s
To learn more about velocity, refer
https://brainly.com/question/21729272
#SPJ4
a man accidentally kicks a pebble off a cliff that is 18 m high with a horizontal velocity of 2.3 m/s. How long does it take to hit the ground below?
A pebble off a cliff to hit the ground below t = 0.128 sec.
Equation :Given,
distance = 18m
velocity = 2.3m /s
time = ?
To find the time in given data,
Use formula,
velocity = distance / time
Putting the value in formula,
We get,
2.3 m/s = 18 m / t
t = 2.3 m/s / 18 m
t = 0.128 sec
Velocity :The vector quantity velocity (v), denoted by the equation v = s/t, measures displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar quantity, denoted by the equation r = d/t, that measures the distance traveled (d) over the change in time (t).
To know more about distance :
https://brainly.com/question/15172156
#SPJ9
Which of the following is a compound?
(1)hydrogen
(2)oxygen
(3)carbon
(4)carbon dioxide
Answer:
4 LE DIOXYDE DE CARBONE
Explanation:
If the magnified cell had a diameter of 40mm on the computer screen using the 10x ocular lens with the 40x objective lens, what would be the actual diameter of the cell in millimeters?.
The actual diameter of the cell would be 0.1 mm.
We are given that, the magnification due to the ocular lens is 10x and the magnification due to the objective lens is 40x.
Therefore, the total magnification of the whole setup will be 400x.
This means that an object with a diameter of x m will have a magnified diameter of 400x.
In the above situation, the magnified cell has a diameter of 40 mm.
When the actual diameter is x, the magnified diameter is 400x.
Hence 400x = 40 mm
x = 40 mm/400
x = 0.1 mm
Hence, the actual diameter of the cell would be 0.1 mm.
To know more about "optical instruments", refer to the following link:
https://brainly.com/question/13276240?referrer=searchResults
#SPJ4
The actual diameter of the cell would be 0.1 mm.
We are given that, the magnification due to the ocular lens is 10x and the magnification due to the objective lens is 40x.
Therefore, the total magnification of the whole setup will be 400x.
This means that an object with a diameter of x m will have a magnified diameter of 400x.
In the above situation, the magnified cell has a diameter of 40 mm.
When the actual diameter is x, the magnified diameter is 400x.
Hence 400x = 40 mm
x = 40 mm/400
x = 0.1 mm
Hence, the actual diameter of the cell would be 0.1 mm.
To know more about "optical instruments", refer to the following link:
brainly.com/question/13276240?referrer=searchResults
#SPJ4
A ball is thrown horizontally from the top of a
building 110 m high. The ball strikes the ground
74 m horizontally from the point of release. What
is the speed of the ball just before it strikes the
ground?
Answer in units of m/s.
The speed of the ball just before it strikes the ground is 46.4 m/s
Motion Under Gravity
Motion under gravity is also known as vertical motion. The gravity act only on the vertical component of the velocity.
Given that a ball is thrown horizontally from the top of a building 110 m high. The ball strikes the ground 74 m horizontally from the point of release.
The time taken for the ball will be
h = ut + 1/2gt²
but u = 0
110 = 1/2 × 9.8 × t²
110 = 4.9t²
t² = 110 / 4.9
t² = 22.45
t = √22.45
t = 4.74 s
The speed of the ball just before it strikes the ground will be
v² = u² + 2gH
v² = 0 + 2 × 9.8 × 110
v² = 2156
v = √2156
v = 46.4 m/s
Therefore, the speed of the ball just before it strikes the ground is 46.4 m/s
Learn more about Speed here: https://brainly.com/question/6504879
#SPJ1
Which object will accelerate less if the
same force is applied to both--an
apple or a couch? Why
If we apply same force to both-an apple or a couch, the object which will accelerate less is couch.
What is acceleration?
Acceleration is the term used to describe the pace at which speed and direction of velocity vary over time. Something is said to be accelerating when it starts to move faster or slower. Even when the speed is constant, motion on a circle accelerates because the direction is always keeps shifting. Both impacts cause all other motions to speed up.
The couch will accelerate less because
F = m a
where, F = force, m = mass, a = acceleration.
This equation can also be written as
a = F/m
It tells us that the acceleration is inversely proportional to mass.
so, in the question given the mass of couch will greater as compared to an apple so the acceleration of the couch will be lesser as compared to apple.
To know more about acceleration, go to link
https://brainly.com/question/460763
#SPJ9
About 20-25% of the 92 natural elements are known to be essential to life. Which four of these elements make up approximately 96% of living matter?.
The four elements that make up approximately 96% of living matter are Carbon, Hydrogen, Oxygen, and Nitrogen.
There are approximately 92 naturally occurring elements and most of them occur in living cells.
Of these approximately 20-25% are essential to life.
A pie chart is shown in the adjoining image, which depicts the composition of the elements present inside the living cells.
It is visible from the pie chart that the majority (almost 96-98%) is of 4 elements i.e, carbon, hydrogen, oxygen, nitrogen and the remaining is of calcium and phosphorus.
Thus, the four elements that make up approximately 96% of living matter are Carbon, Hydrogen, Oxygen, and Nitrogen.
To know more about "composition of elements in living cells", refer to the link given below:
https://brainly.com/question/17408168?referrer=searchResults
#SPJ4
Two kg of refrigerant 134a undergoes a polytropic process in a piston–cylinder assembly from an initial state of saturated vapor at 2 bar to a final state of 12 bar, 80°c. Determine the work for the process, in kj.
The work done by polytropic process is -69.88 kJ.
The work for the polytropic process is determined using
P . v^n = constant.
where P is pressure, V is specific volume
As we know that
W = m∫Pdv
W = m(P2v2 - P1v1) / (1 - n)
In order to evaluate this expression, we need to determine the specific volumes and the polytropic exponent, n.
State 1: v1 = vg1 = 0.0993 m3/kg
State 2: at 12 bar, 80oC; v2 = 0.02051 m3/kg
Hence by using polytropic exponent
P1 / P2 = (v2 / v1)^n
n = ln(2/12) / ln(0.02051/0.0993)
n = 1.136
Find the work done
W = m(P2v2 - P1v1) / (1 - n)
W = 2kg(12bar . 0.02051m³/kg - 2 . 0.0993) / (1 - 1.136) x (10⁵ N/m²/1 bar) x (1 kJ / 10³ Nm)
W = -69.88 kJ
Find more on polytropic at: https://brainly.com/question/13574969
#SPJ4
True or false. An airplane can fly in space. True False
Answer:
the answer to this question is false because a airplane wouldve survive in space
find the energy u of the capacitor in terms of c and v by using the definition of capacitance and the formula for the energy in a capacitor. express your answer in terms of c and v .
Let's take into account the volt-volt potential difference between the plates and a capacitance capacitor.
C farad, we can raise the fee
q1 to q1+dq1
between the positive and negative plates.
the instantaneous potential difference will be
V1 = q1C
The finished work will be d
W = V1dq1
The capacitor's total charging effort from the uncharged state to the finished state q will now be
W =∫q0q1Cdq1
=1C[q122]
q0=1C[q22−0]
=12q2C
We are aware that the entire quantity of work done is defined by potential energy.
The potential energy will be
U=W=12q2C
As a result, the capacitor's energy is
U=12q2C.
To learn more about capacitors click on this link:
brainly.com/question/24212501
#SPJ4
Under Problems, who can help me with 1-3? Thank you!!!!
The current, voltages, resistances of the circuits in problem 1, 2, and 3 are given by Ohm's law as follows;
Questions 1—3 In Problems
The resistance of the hair dryer is 12 OhmsThe current in the light bulb circuit is 0.75 AThe voltage of the battery is 12 VoltsWhat is Ohms law?Ohm's law states that the current, I in a circuit or between two points in a circuit is proportional to the voltage, V, across the circuit or the part of the circuit.
Mathematically, V = I × R
Where;
R = The circuit resistance to current
1. The current in the hair dryer draws from the circuit = 10–A
The voltage of the circuit to which the hair dryer is connected = 120–V
From Ohm's law, we have;
V = I•R
R = V/I
I = 10 A
V = 120 V
Therefore;
R = 120 V/(10 A) = 12 Ohms
The hair dryer resistance is R = 12 Ohms2. The battery resistance = 2 Ohms
The voltage of the battery = 1.5–V
The current in the circuit is therefore found as follows;
R = 2 Ohm
V = 1.5 V
The current, I = V/R
Therefore;
I = (1.5 V)/(2 Ohms) = 0.75 A
The current in the circuit is I = 0.75 A3. The current supplies by the battery, I = 0.25 A
The battery resistance, R = 48 Ohm
The voltage of the battery, V = I × R
Therefore;
V = 0.25 A × 48 Ohm = 12 V
The voltage of the battery, V = 12 VLearn more about Ohm's law iand electricity here:
https://brainly.com/question/15719291
#SPJ1
During car safety crash tests, dummies that don't wear seatbelts fly through the windshield and out of the car. why does this happen? in your answer, be sure to state which of newton's law of motion this pertains to, describe this law, and explain how it causes the dummies to move forward.
The First Law of Motion of Newton states that an item at rest or in motion will tend to stay at rest or in motion until acted upon by an external force. This means that anybody not wearing a seatbelt will continue to move forward in the initial direction of motion.
What is Newton's First Law of Motion?According to Newton's first law, unless an outside force causes it to change, every item will stay at rest or in uniform motion along a straight path.The link between an object's motion and the forces acting on it is outlined by Newton's laws of motion, which are three fundamental principles of classical mechanics. The following can be used to paraphrase these laws:Unless a force acts on a body, it stays at rest or moves in a straight path at a constant speed.The force acting on a body is equal to the time rate at which its momentum changes.When two bodies interact, forces are generated that are equal in magnitude but directed in different directions.To know more about Newton's First Law of Motion,refer to the following link:
https://brainly.com/question/1222214
#SPJ4
A car moving with a speed of 20m/s has a momentum of 32,000 kg. m/s.
What is the mass of the car
Answer:
See below
Explanation:
momentum = m * v
so
momentum / v = m = 32 000 kg m/s / 20 m/s = 1600 kg
Describe how the density of aluminium may be determined using the bar. In your account
() describe the readings to be taken,
(i)
state the instruments used to make the readings,
(ill) describe how the density is calculated from the readings.
We know that water is denser than air or a piece of paper is denser than rock.
How do we determine density?
Density is determined by measuring it’s mass and then dividing it by it’s volume.
Let us take a solid cube of aluminium.
(i) The readings to be taken are the mass of aluminium and volume of aluminium.
(ii) Instruments used are :
digital weighing scale to measure mass a measuring cylinder to measure volume which is filled with water using pair of tongs we will put the aluminium cube in the water.(iii) We will check the mass of the aluminium cube by simply putting it on the weighing machine. Now we will check the volume by putting that cube into the water. The initial level was x. The water level rises to y after putting the cube into it. To know the volume, we will simply subtract y-x. Hence, we know the volume.
To know the density, divide mass by volume. (Mass / volume)
To know more about density, refer : https://brainly.com/question/20814977
#SPJ4
If two robots are racing on a 100 meter length straight line track. One is traveling two times as quickly as the other robot. What could be changed other than speed that would allow the slower of the two robots win the race ?
Change in the starting time of the robots for the race will allow the slower robot to win the race.
Robots are any autonomously run machines that eliminate the need for human labour, even if they may not look like humans or carry out tasks in a way that is humanlike. Robotics, then, is the branch of engineering that deals with the creation, maintenance, and use of robots.
Although the idea of synthetic people predates written history, the term "robot" is derived from the Czech word "robota," which means "forced labour" or "serf," and was used in Karel apek's play R.U.R. (1920).
Runaround, a work of science fiction by Isaac Asimov, introduced the word robotics (1942). It established a new level of plausibility regarding the possible difficulty of creating sentient robots and the potential technological and societal issues that might arise, along with Asimov's other robot stories.
To learn more about robots please visit-
https://brainly.com/question/15561225
#SPJ9
Small spheres a and b are attached by a 20cm long string. The charges on spheres a and b are 2. 4μc and 3. 6μc, respectively. The tension in the string holding them together is most nearly 0. 019n 0. 019 newton 0. 39n 0. 39 newton 1. 30n 1. 30 newtons 1. 94n 1. 94 newtons 2. 92n
The electric force or the tension in the string holding the charges together is most nearly to: 1.94 newtons
To solve this exercise the electric force formula and the procedure we will use is:
F = (k * q1 * q2)/r²
Where:
F = electric forcek = coulomb constantq1 = charge 1q2 = charge 2r = separation distance of the chargesInformation about the problem:
q1= 2.4 μcq2= 3.6 μcr = 20 cmF =?k= 9 *10^9 N*m²/C²1μC=1×10−6μCBy converting the the values of the charges (q1) and (q2) from (μC) to (C) we have that:
q1= 2.4 μc * 1×10−6C/ 1 μC
q1= 2.4*10^ -6 C
q2= 3.6 μc * 1×10−6C/ 1 μC
q2= 3.6*10^ -6 C
By converting the the separation distance of the charges from (cm) to (m) we have:
r = 20 cm * 1 m/100 cm
r= 0.20 m
Applying the electric force formula we have:
F = (k * q1 * q2)/r²
F = [(9 *10^9 N*m²/C² * (2.4*10^ -6 C) * (3.6*10^ -6 C)]/ (0.20 m)²
F = 0.07776 N*m² /0.04 m²
F = 1.94 N
What is electric force?In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.
Learn more about electric force at: brainly.com/question/25923373
#SPJ4
True or false: defense mechanisms are normal. they help defend and help the ego avoid dealing directly with sexual or aggressive urges and the anxiety they produce.
Yes, the given statement is true.
Defense mechanisms are normal. they help defend and help the ego avoid dealing directly with sexual or aggressive urges and the anxiety they produce.
In psychoanalytic theory, defense mechanisms are definite psychological strategies that people use to get over difficult feelings, emotions, or thoughts.
It refers to a series of mental abilities that enables the mind to cope with conflicts, and compromises and also strive for their solutions.
Moreover, these mechanisms also protect people from unpleasant and anxious feelings.
To put it simply, defense mechanisms are normal subconscious methods or ways to deal with unexpected feelings, thoughts, or inner conflicts.
If you need to learn more about defense mechanisms click here:
https://brainly.com/question/20953029
#SPJ4
One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.
By using uniform motion, the high up the slope will it strike is 730.62 m.
We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
θ = 70⁰
vi = 200 m/s
x = 300 m
Find the initial velocity in x and y axis
vx = vi cosθ = 68.40 m/s
vy = vi sinθ = 187.94 m/s
Find the time taken to reach 300 m
vx = x / t
68.4 = 300 / t
t = 4.39 second
Find the time taken to reach maximum height
vt = vo + a . t
0 = vy - g . t
vy = gt
187.94 = 9.8 . t
t = 19.18 second
The motion of projectile is raising to maximum height, hence
s = vo . t + 1/2 . a . t²
h = vy . t - 1/2 . g . t²
h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²
h = 730.62 m
Find more on uniform motion at: https://brainly.com/question/28040370
#SPJ4
what is a universal law?
Answer:
Universal law is the set of natural, non-man-made, and immutable conditions that determine how reality and consequence operate within the realm that humans exist in.
Explanation:
How long does it take moonlight to reach earth given that the distance to the moon is 384,000 km?
Francesca has been feeling very weak. Her doctor asks her about her diet, and it appears that Francesca is not consuming an adequate amount of carbohydrates. What food should Francesca start eating to MOST efficiently increase the amount of carbohydrates in her diet?
A.
eggs
B.
butter
C.
steak
D.
bananas
Answer:
Banana/Carbohydrate Amount - 27 g
Explanation:
Egg/Carbohydrate Amount - 0.6 g
Banana/Carbohydrate Amount - 27 g
Steak/Carbohydrate Amount - 0 g
Butter/Carbohydrate Amount- 0 g
The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. What is the initial projection angle of the projectile?.
The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. The initial angle of the projectile is 67.8°.
The motion from zero to maximum height is :
Vyi = √2gh
Now the motion from zero to half of the maximum height is :
Vyh = √gh
At maximum height, the speed is Vx = √Vx^2+Vyh^2/2
Vx =√Vx^2+gh/2
by simplifying,
Vx = √gh/3
To find the angle of projection
∅ = tan^-1(Vyi/Vx) = √2gh/√gh/3
∅ = 67.8°
If you need to learn more about angle of projection, click here
brainly.com/question/20459093?referrer=searchResults
#SPJ4
what is the relationship between volume anf the amount of madd a boat can hold before sinking??
Answer:
The volume of water displaced by the boat is equal to the volume occupied by the part of the boat that is below the surfaces of the water. Once the volume of displaced water is greater than the total volume of the boat, it means that the top of the boat will no longer be above the water and the boat will sink.
Explanation:
I did my best on this question. I hope this helps!
9. How did you come up with your answer for #8?
10. If the falling time of an object is doubled, by what factor does the distance increase? Use
the times 2 seconds and 4 seconds to prove your answer. (Hint: x-v4+1/2af²)
a.
b.
what must the charge (sign and magnitude) of a 1.48-g particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 660 n/c ? you may want to review (page) .
Mass of the particle m=1.48 g=1.48×10−3 kgm=1.48 g=1.48×10−3 kg
Electric field E=670 N/CE=670 N/C directed downwards.
Charge Particle in an Electric FieldThe electric force must act as opposite to the weight of the particle
we know,
qE= mg x qE = mg
q = mgEq= mgE
q= 1.48×10−3 kg × 9.8 m/s 2670 N/C
therefore; q=2.16×10−5 Cq= 2.16×10−5 C
As the force is upwards and an electric field is downwards it means the charge on the particle is negative.
q=−2.16 × 10−5 Cq= −2.16 × 10−5 C
In the second case for a proton
qE= mgqE= mg
E= mgqE= mgq
E= 1.67×10−27 kg × 9.8 m/s21.6×10−19 C
E= 1.023×10−7 N/C
To learn more about electric field visit the link
https://brainly.com/question/14456889
#SPJ4
please help i need it fast
Atoms of the pair P and Cl will form covalent bonds in the compound. The correct option is (D)
Covalent bonds are formed between two non-metals. Of the given options the only option that has two non metals is P ( Phosphorous ) and Cl ( Chlorine ). Therefore they will form a covalent bond in a compound.
Chlorine is a halogen. It belongs to group 17 of the periodic table. Phosphorous is a p-block element which belongs to group 15. Group 15 is also called as nitrogen family.
Therefore, the atoms of the pair P and Cl will form covalent bonds in the compound. The correct option is (D)
To know more about Covalent bonds
https://brainly.com/question/19382448
#SPJ1