Answer:
t = 3.01 s
Explanation:
In order to calculate how long it takes to the object to fall to the ground, you use the following formula, for the calculation of the height:
[tex]y=y_o-v_ot-\frac{1}{2}gt^2[/tex] (1)
yo: height of the building = 105 m
vo: initial velocity of the body = 20m/s
g: gravitational acceleration = 9.8m/s^2
t: time = ?
To find the time t, you take into account that when the body arrives to the ground the height is zero, that is, y = 0.
You replace the values of all parameters in the equation (1), and you obtain a quadratic polynomial for t:
[tex]0=105-20t-\frac{1}{2}(9.8)t^2\\\\0=-4.9t^2-20t+105[/tex]
Next, you use the quadratic formula to get the roots of the polynomial:
[tex]t_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
a = -4.9
b = -20
c = 105
[tex]t_{1,2}=\frac{-(-20)\pm\sqrt{(-20)^2-4(-4.9)(105)}}{2(-4.9)}\\\\t_1=3.01s\\\\t_2=-7.09s[/tex]
You choose the positive value t1, because it has physical meanning.
Hence, the body takes 3.01s to arrive to the ground
Isaac throws an apple straight down from a tree with an initial speed of 5.0 \dfrac{\text m}{\text s}5.0 s m 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. It hits the ground with a final speed of 12 \dfrac{\text m}{\text s}12 s m 12, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How many seconds did the apple fall?
Answer:
0.71s
Explanation:
From Newton's law of motion ;
V =U +gt
V is the final velocity or speed
U is the initial velocity or speed
g is acceleration of free fall due to gravity given as 9.8m/S2
Note when a body moves horizontally down its said to do so with the aid of the force of gravity
Hence the final velocity is aided by gravity.
From the above formula;
t =V-U/ g
t= 12-5/ 9.8 = 0.71s
Answer: .71
Explanation:
Khan academy
what is gyration length
Answer:
The gyration length or radius of gyration about an axis is the radial distance from a point which would have the same moment of inertia as the body's actual distribution of mass if the body's total mass were concentrated at a point.
Explanation:
The gyration length appears to be the distance from a point where the whole body appears to be concentrated when it rotates about the point.
The gyration length can be illustrated this way.
Suppose we have a distribution of masses m₁, m₂, m₃,..., mₙ located at points r₁, r₂, r₃,..., rₙ respectively from a point O. Their moment of inertia I about point O is
I = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
If M = total mass = m₁ + m₂ + m₃ + ... + mₙ
Now I = MR² where R = gyration length
MR² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
R² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²/M
R = √[(m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²)/(m₁ + m₂ + m₃ + ... + mₙ)]
R = √(∑mr²/∑m)
If the particles have the same mass, m₁ = m₂ = m₃ = ... = mₙ and M = nm. Since m = M/n
R = √[(mr₁² + mr₂² + mr₃² + ... + mrₙ²)/(m + m + m + ... + m)]
R = √[m(r₁² + r₂² + r₃² + ... + rₙ²)/nm]
R = √[(r₁² + r₂² + r₃² + ... + rₙ²)/n]
R = √(∑r²/n)
So the gyration length is the square-root of the sum of individual moment of inertias of the constituent masses divided by the sum of masses or the root mean square of the distances of the particles.
A force of 12N acts to the left on a body and a force of 16 N acts to the right . The size and direction of resultant force is
1)4N
2)28N to the right
3) 4 N to the right
Answer:
4 N to the rightExplanation:
The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.
If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.
The resultant force acting on the bod will be the sum of the two forces.
Resultant = -12N+16N
Resultant = 4N
The direction of the resultant force will be towards the right since the resultant is a positive value.
A soccer player kicks a ball with an initial velocity of 10m/s at an angle of 30 degrees above the horizontal. Find the; a) magnitude of the horizontal component b) Vertical component c) The magnitude of the vector.
Answer:
a) V₀ₓ = 8.66 m/s
b) V₀y = 5 m/s
c) Magnitude of velocity vector = 10 m/s
Explanation:
a)
The magnitude of the horizontal component of launch velocity can easily be given by the following formula:
V₀ₓ = V₀ Cos θ
where,
V₀ₓ = horizontal component of velocity = ?
V₀ = Launch Velocity = 10 m/s
θ = Launch Angle of the ball with the horizontal = 30°
Therefore,
V₀ₓ = (10 m/s)(Cos 30°)
V₀ₓ = 8.66 m/s
b)
The magnitude of the vertical component of launch velocity can easily be given by the following formula:
V₀y = V₀ Sin θ
where,
V₀y = vertical component of velocity = ?
V₀ = Launch Velocity = 10 m/s
θ = Launch Angle of the ball with the horizontal = 30°
Therefore,
V₀y = (10 m/s)(Sin 30°)
V₀y = 5 m/s
c)
The magnitude of the velocity vector will be equal to the resultant velocity or net velocity, which is 10 m/s.
Magnitude of Velocity Vector = 10 m/s
A circuit is made of a battery, a light bulb, and a 2 resistor. The battery has a voltage of 3 volts. When connected, the ammeter reads a current of 1 amp in the circuit. Find the resistance of the light bulb.
Answer:
3ohms
Explanation:
From Ohm's Law
V = IR
V is that voltage = 3volts
I = current = 1amp
R = resistance in ohms
Putting those values into the above formula.
3volts = 1amp×R
Making R the subject
R = 3/1
R = 3ohms
The resistance of the light bulb is 3ohms.
People often think that Galileo dropped two objects of dramatically different mass off of the Leaning Tower of Pisa that both hit the ground at the same time. Explain why in reality this was most likely not true.
Answer: because of air resistance. See explanation for further details.
Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.
But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.
If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.
A force of 210 N is applied to an object and the object accelerates at 14m/s2. Determine the mass of the object in kg.
Answer:
15 kg
Explanation:
F = m*a
F/a = m
210/14 = 15 kg
Earth receives some of the Sun's energy in the form of heat and light.
What type of energy does heat and light from the Sun begin as?
O A) nuclear
OB) chemical
OC) electrical
OD) mechanical
Answer:
a) nuclear
Explanation:
What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i.E. If you increase one variable what happens to the acceleration?)
Answer:
1. Unbalanced Force (If you increase force, the acceleration will increase)
2. Mass of Body (If you increase mass, the acceleration will decrease)
Explanation:
According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:
“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”
The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,
a α F
and, a α 1/m
where,
a = acceleration
F = Unbalanced Force
m = Mass of Body
So, the acceleration increases when the unbalanced force increase and vice versa.
And the acceleration decreases when the mass of body increase and vice versa.
combining above equations:
a α F/m
a = (Constant)F/m
here,
Constant = 1
therefore,
F = ma
The mass of an object is 50 kg. If its weight is 600N on a certain planet. Calculate the
gravitational field strength of the planet.,
Answer: The answer is 700kg
Explanation:
A squeeze bottle squeezes when pressed. It regains its shape when pressed .It regains its shape when the pressure from your hand is withdrawn. What may happen if the squeeze bottle is pressed to take the sauce out and then immediately corked tightly? Will it regain its shape? If not, Why?
Answer:
The squeeze will not regain its shape
Explanation:
The squeeze bottle will not regain its shape.
This is because the atmospheric pressure compresses the squeeze bottle. Since the pressure in the squeeze bottle is now not equal to the atmospheric pressure since it has been corked tightly, its internal pressure cannot balance out the atmospheric pressure and thus cancel its effect.
So, the squeeze bottle does not regain its shape due to this imbalance of pressure.
What is the difference between p-n junction diode and extrinsic semiconductor?
Answer:
The difference between P-N junction diode and extrinsic semiconductor is the allowable direction of flow of current
The extrinsic semiconductor can allow current to flow in both directions while the P-N junction diode permits only a unidirectional flow of current
Explanation:
A semiconductor is a substance that has an intermediate conductivity between that of conductors and non conductors
Examples of semiconductors include germanium and cadmium selenide
A semiconductor to which impurities has been added (an activity known as doping) is an extrinsic semiconductor
Based on the functioning of a semiconductor, doping result in the formation of one of two types of semiconductors including;
1) N-type semiconductor that has an extra electron and the charge carriers are electrons
2) P-type semiconductor that has one less (-e⁻) electron and holes are the charge carriers
An extrinsic semiconductor can conduct allow the flow of electricity in both ways
A P-N junction diode consists of both the P and N-type extrinsic semiconductors arranged such that current can flow in only one direction.
Therefore, the difference is that the extrinsic semiconductor can allow current flow in both directions while the P-N junction diode permits only a unidirectional flow of current.
Which equations could be used as is, or rearranged to calculate for frequency of a wave?
Answer:
frequency = wavelength over speed. f. speed = wavelength x frequency
Explanation:
it is on google
Answer:wavelength=speed/frequency
Explanation:
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What
is the acceleration?
-13 m/s
-6 m/s²
6mis?
13 m/s2
Acceleration = (change in speed) / (time for the change)
Change in speed = (speed after the change) - (speed before the change)
Change in speed = (65 m/s) - (35 m/s) = 30 m/s
Acceleration = (30 m/s) / (5 s)
Acceleration = 6 m/s²
What is a resistor? A. a light bulb B.a switch C. a battery
Answer:
A resistor is a battery
Answer:
The answer is A
Explanation:
A resistor is a light bulb because it is the flow of an electric current in an electric circuit.
This is a physics question about acceleration, I'm a Sophmore btw
"Determine the amount of time it takes for a car to accelerate forward at a rate of 7.00 m/s^2 if it starts from rest and reaches a final speed of 30.0 m/s."
I was having trouble figuring out the time if anyone can help that'd be lovely!!
Answer:
4.29 s
Explanation:
Given:
v₀ = 0 m/s
v = 30.0 m/s
a = 7.00 m/s²
Find: t
v = at + v₀
30.0 m/s = (7.00 m/s²) t + 0 m/s
t = 4.29 s
this principle is useful in solar cooker but can be harmful on earth?
Answer:
Green House Effect
Explanation:
Green House Effect is the principle used in solar cookers but it can be really harmful for the Earth producing some green house gases.
Which of the following technologies is based on the work of Subrahmanyan Chandrasekhar? A. Undersea fiber optic communications cables B. An orbiting observatory to detect X-rays from space objects C.Computer models to predict the effects of climate change D. Radar to detect the movement of storms
Answer:the answer is B
Explanation:
APE X
The technology that is based on the work of Subrahmanyan Chandrasekhar is an orbiting observatory to detect X-rays from space objects, therefore the correct option is B.
What is Chandrasekhar's limit?Chandrasekhar's limit is a type of maximum limited value that is used to define the maximum mass of a white dwarf star. The generally internationally considered value of the Chandrasekhar limit is about 1.44 times the mass of the sun which is approximately 2.765×10³⁰ kg.
In other words, one can say that Chandrasekhar limit is the maximum value that can attain 1.44 times the solar mass.
In other words, one can say that star with a mass more than 1.44 times that of the Sun does not form a white dwarf but continues to collapse, finally forming a neutron star
An orbiting observatory to detect X-rays from space objects is based on the principle of Chandrasekhar's limit. The correct option is B.
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how many chromosomes will an elephant's sperm have ?
1. A Force of 50N acts uniformly over and at night angles to a surface. When
the area of the surface is 5m2, then the pressure on the area is:
A. 250Pa
B. 10Pa
C. 45Pa
D. 55Pa
Answer:
The answer would be 10 pascal.
Answer:
B. 10Pa
Explanation:
the cylinder of gravity of cylinder is where
Explanation:
In uniform gravity it is the same as the centre of mass. For regular shaped bodies it lies at the centre of the that particular body. Hence for a cylinder centre of gravity lies at the midpoint of the axis of the cylinder.
Explanation:
We developed a spherical harmonic series that represents the gravitational potential and its gravity field due to a buried right vertical cylinder. This series can be used at far- and intermediate-regions, and is fast and accurate, using only a few terms. We compared the values of the fields acquired by this new spherical harmonic series, with ones computed by direct numerical integrations, using a fine-mesh structure for a vertical cylinder. Results of the calculations are shown and performances of the two different methods are compared. Faithfulness of the spherical harmonic series is tested with an inversion example.
The ratio of the magnitude of the frictional force to the magnitude of the force
holding two surfaces together is called the and its UNIT is
Answer: the coefficient of friction
Explanation:
The coefficient of friction (μ (mu)) has no unit because it is a ratio of forces so the units of N (newtons, which are the units of force) cancel out.The magnitude of frictional force is [tex]\mu[/tex]N and the magnitude of the force is N. So if we take the ratio of it we will get [tex]\mu[/tex] In result.
What is the Coefficient of friction?The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, the Greek letter is used to symbolize it, i.e., [tex]\mu[/tex]. In mathematical terms, is equal to F/N, where F represents frictional force and N represents normal force. Since both F and N are measured in units of force, the coefficient of friction is a dimensional less quantity (such as newtons or pounds).
For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. In kinetic friction, the frictional force resists the motion of the object.
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Ethan pushes a wooden box across a carpeted floor. Then he pushes the same box across a smooth marble floor. Why does Ethan find it easier to push the box on the marble floor than on the carpeted floor?
A. The box experiences more friction on the marble floor.
B.The box experiences less friction on the marble floor.
C.The box experiences more applied force on the marble floor.
D.The box experiences less normal force on the marble floor.
Answer:
B.The box experiences less friction on the marble floor
Explanation:
Answer:
B. The Box experiences less friction on the marble floor
Explanation:
This is because the the carpet is not a flat surface and the marble is smooth
Un movil pasa por el punto A en direccion hacia B (350cm más adelante) y, luego, sigue hasta el punto C. Sabiendo que pasa por B a las 11:42:38 y por C a las 11:43:16, completando un tiempo total de recorrido de 3min 47s, calule la distancia entre B y C y a la hora a la que paso por el punto A.
Explanation:
PRIMERO HACES EL RECUENTO DEL TIEMPO Y LO CONVIERTES EN
SEGUNDOS Y ENTONCES
t = 227 s [tex]t_{AB}[/tex] = 227 S - 38 s = 189 s
[tex]t_{BC}[/tex] = 38 s
LUEGO USANDO LA ECUACIÓN DE GALILEO GALILEI SSUPONIENDO
QUE EL MOVIL VIAJA A VELOCIDAD CONSTANTE
v = 3.50 m/189 s = 0.0185 m/s
PARA LA DISTANCIA NTRE B Y C
[tex]x_{BC}[/tex] = 0.0185 m/S( 38 s) = 0.703 m
LA HORA EN QUE EL MOVIL PASA POR A ES
11:43:15 - 38 s - 189 s = 11:39:29
A sound wave in air has a frequency of 354 Hz and travels with a speed of 343 m/s. How far apart are the wave crests in meters.
Given :
The frequency of travelling sound = f = 282 Hz
The speed of travelling sound = c = 343 m/s
To Find :
The distance of waves crests
Solution :
∵ wavelength of sound wave =
i.e =
Or, =
∴ = 1.12 m
So, The wavelength of sound wave = = 1.21 m
Thus , The distance of waves crests =wavelength of sound wave = 1.21 m
Hence, The distance of waves crests is 1.21 meters Answer
What are some potential sources of error in the
experiment that is described in the article?
Answer: experimental design
the accuracy of data-collecting devices
human error
bias in selecting samples
incorrect data analysis
incorrect treatment of the control group
Explanation:
Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.
What are Experimental Error?The discrepancy between a measured value and its true value is known as experimental error. In other words, the error or inaccuracies are what prevent us from perceiving a measurement that is 100 percent accurate.
Every measurement has some degree of experimental error, which is fairly common. Due to the widespread belief that some degree of error is inherent to the scientific method, it is not typically seen as a "mistake" in the classic sense.
However, scientists can reduce error and obtain results that are more accurate by embracing and comprehending the ways that experimental error can affect any scientific operation.
The potential sources of error in experiment are Instrumental, environmental, procedural, and human errors.
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PLEASE HELP. Really important
Explanation:
2) C would need the least effort, because the longer the effort distance, the least the effort applied.
Why did the Founding Fathers want to include a bill of rights in the U.S.
Constitution?
A. To ensure that the government couldn't take away the individual
rights of citizens
B. To provide future generations a way to amend, or change, the
Constitution
C. To allow states to write and approve their own state constitutions
D. To give state governments more power than the federal
government
Answer:
Its A
Explanation:
Thats because federalists wanted to take away rights. But the fathers wanted to definitely ensure that each person had equal rights and liberty.
find the period of a simple pendulum of 1m length placed on earth and on moon g on moon =1.67m/s² g on earth=10m/s²
Answer:
[tex]T_{m }[/tex] = 4.86 s
[tex]T_{e}[/tex] = 1.98 s
Explanation:
Given:
Length = l = 1 m
Acceleration due to gravity of moon = [tex]g_{m}[/tex] = 1.67 m/s²
Acceleration due to gravity of Earth = [tex]g_{e}[/tex] = 10 m/s²
Required:
Time period = T = ?
Formula:
T = 2π [tex]\sqrt{\frac{l}{g} }[/tex]
Solution:
For moon
Putting the givens,
T = 2(3.14) [tex]\sqrt{\frac{1}{1.67} }[/tex]
T = 6.3 [tex]\sqrt{0.6}[/tex]
T = 6.3 × 0.77
T = 4.86 sec
For Earth,
Putting the givens
T = 2π [tex]\sqrt{\frac{1}{10} }[/tex]
T = 2(3.14) [tex]\sqrt{0.1}[/tex]
T = 6.3 × 0.32
T = 1.98 sec
A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be
Answer:
[tex]v=\sqrt{\frac{ev}{m} }[/tex]
Explanation:
The helium ion has:
a potential difference in vacuum = V,
Charge = 2e
and mass = 4m,
speed = v,
mass = 4m
From electrostatics, the work done is the product of charge and its potential difference.
Therefore, Work done = charge × potential difference = 2e × V = 2eV
This work done is in form of kinetic energy, therefore:
Kinetic energy = 1/2 × mass × speed²
⇒ Work done = Kinetic energy
[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]
