Explanation:
Given that,
Initial speed, u = 0
Final speed, v = 8.9 m/s
Time, t = 9.5 s
Let a is the acceleration of the snowboarder. It can be calculated as follows :
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{8.9-0}{9.5}\\\\a=0.936\ m/s^2[/tex]
The distance traveled by the snowboarder in this time is calculated using third equation of motion as follows :
[tex]v^2=u^2=2as\\\\s=\dfrac{v^2}{2a}\\\\s=\dfrac{(8.9)^2}{2\times 0.936}\\\\s=42.31\ m[/tex]
So, 42.31 m of distance is traveled by snowboarder in this time.
What is a chemical change?
4. Velocity can be calculated using the following equation
v= Ad/t
Mass (kg)
Displacement (m)
Velocity (m/s)
7.58
3.56
35.65
Given the data above from an experiment, calculate the amount of time the object was
in motion
3.56 displacement ( m )
What mass of aluminum has a total nuclear charge of 2.9 c?
Complete Question
What mass of aluminum has a total nuclear charge of 2.9 C?
Aluminum has atomic number 13. Suppose the aluminum is all of the isotope with 14 neutrons.
Answer:
The mass is [tex]T_m = 6.252 *10^{-5}\ g[/tex]
Explanation:
From the question we are told that
The total nuclear charge is [tex]q = 2.9 \ C[/tex]
The atomic number is [tex]u = 13[/tex]
The number of neutron is [tex]k = 14[/tex]
Generally the number of positive charge is mathematically represented as
[tex]N = \frac{q}{p}[/tex]
here p is the charge on a single proton with value [tex]p = 1.60*10^{-19} \ C[/tex]
So
[tex]N = \frac{2.9}{1.60*10^{-19}}[/tex]
=> [tex]N = 1.813*10^{19} \ protons[/tex]
Now since 1 atom contains 13 proton
The number of atoms present is
[tex]a = \frac{1.813*10^{19}}{13}[/tex]
[tex]a = 1.395 *10^{18} \ atoms[/tex]
Then the number of moles present is mathematically represented as
[tex]n = \frac{a}{N_k}[/tex]
Where N_k is the Boltzmann constant with value
[tex]N_k = 6.023*10^{23}[/tex]
So
[tex]n = \frac{1.395 *10^{18}}{ 6.023*10^{23}}[/tex]
[tex]n = 2.315 *10^{-6}\ moles[/tex]
Generally one mole of aluminum is equal to 27 g
So
The total mass of aluminum is
[tex]T_m = n * 27[/tex]
=> [tex]T_m = 2.315 *10^{-6} * 27[/tex]
=> [tex]T_m = 6.252 *10^{-5}\ g[/tex]
Einsteins general theory of ————- describes the relationship
between energy and matter, and is major event in the history
of science.
Answer:
Special relativity.
Explanation:
Einstein's general theory of special relativity describes the relationship
between energy and matter, and is major event in the history
of science.
In 1905, Albert Einstein a noble physicist developed a theory that forms part of the basis of modern physics and one of the major event in the history of science, this theory was known as the theory of special relativity.
The theory of special relativity gives the relationship between space and time for any object that is moving at a uniform speed in a straight line, typically at the speed of light.
Simply stated, the theory of special relativity describes how a change in the speed of an object affect or relate with the measurement of space, time and mass. This ultimately implies that, as an object approach the value of light speed, it gains an infinite amount of mass and as such it is unable to travel faster than light.
The theory of special relativity by Albert Einstein gave birth to one of the most famous equation in science;
[tex]E = mc^2[/tex]
The equation illustrates, Energy equals mass multiplied by the square of the speed of light.
Where; E = Energy.
M = Mass.
C = Speed of light.
From the above equation, we can deduce that the mass of an object increases with speed and that mass is equivalent to energy, thus matter (mass) can be interchanged with energy.
Two violin strings are tuned to the same frequency 294 H. The tension in one string is then decreased by 2.0%. What will be the beat frequency heard when the two strings are played together?
Answer:
Beat frequency together = 2.95 Hz (Approx)
Explanation:
Given:
Frequency (F) = 294 H
Decrease in tension = 2%
Find:
Beat frequency together
Computation:
Tension = (100 - 2) / 100
Tension (T) = 0.98
Beat frequency together = Frequency (F) - (√T × F)
Beat frequency together = 294 - (√0.98 × 294)
Beat frequency together = 2.95 Hz (Approx)
The beat frequency heard when the two strings are played together is 2.95 Hz.
Given data:
The tuning frequency of the violin is, f = 294 Hz.
Decrement in the tension is, 2 %.
Since, tension is reduced at the rate of 2%. Then the new magnitude of tension on the string is,
T = (100 - 2 )/100
T = 0.98
Then the expression for the beat frequency heard when the two strings are played together is given as,
[tex]f_{b}=f -(\sqrt{T \times f})[/tex]
Solving as,
[tex]f_{b}=294-(\sqrt{0.98 \times 294})\\\\f_{b}=2.95\;\rm Hz[/tex]
Thus, we can conclude that the beat frequency heard when the two strings are played together is 2.95 Hz.
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A linear accelerator uses alternating electric fields to accelerate electrons to close to the speed of light. A small number of the electrons collide with a target, but a large majority pass through the target and impact a beam dump at the end of the accelerator. In one experiment the beam dump measured charge accumulating at a rate of -2.0 nC/s. How many electrons traveled down the accelerator during the 2.0 h run
Answer:i
9E13 ELECTRONS
Explanation:
First we find the number of charges in two hrs
Which is - 2x 7200=- 14400NC
So no of electrons is now q/e
-144x10^-7/-1.6*10^-19
= 9*10^13
Samantha is 1.44 m tall on her eleventh birthday and 1.68 m tall on her twelfth birthday. By what factor has her height increased? By what percentage?
Answer:
Given initial height h¹= 1.44
Final height h²=1.68
So factor increase is 1.68/1.44²= 1.17
Percentage increase will be
1.68-1.44/1.44*100%=16.7%
Scientists repeat experimental findings in order to:__________.
A) improve upon experimental design.
B) eliminate unseen errors.
C) both A and B
D) neither A nor B
Answer:
neither A nor B
Explanation:
There are a lot of reasons, quite handful of them. About why scientists repeat experiments.
They do so sometimes to persistently verify the results they have gotten. Another reason is so as to be able to study and improve them in other ways.
This is just 2 of the very many reasons why scientists repeat experiments. Remember the popular saying, that practice makes perfect? yeah, that's just it
I hope you understand. Thanks
2. If you are driving at a constant velocity of 5 m/s what is your
acceleration?
A race car has a maximum speed of 0.104 km/s .What is this speed in miles per hour ?
Answer:
232.641374 mph
Explanation:
A race car has a maximum speed of 0.104km/s
Let X represent the speed in miles per hour
Therefore the speed in miles per hour can be calculated as follows
1 km/s = 2,236.936292 mph
0.104km/s = X
X = 0.104 × 2,236.936292
X = 232.641374
Hence the speed in miles per hour is 232.641374 mph
Speed of the car can be defined by the ratio of distance traveled by time elepsed. The speed of the given car is 233.212 miles/hr.
What is speed?
Speed can be defined by the change in position of an object in a given period of time.
[tex]\bold {Speed = \dfrac {Distance }{Time}}[/tex]
Given here,
The speed of the car is 0.104 km/s
Since 1 km = 0.621
So, 0.104 km = 0.0646
and 1 s = 0.000277
So, the speed of the car in miles per hour,
[tex]Speed = \dfrac {0.0646 \rm \ miles }{0.000277}\\\\ Speed =233.212 \rm \ miles/hr[/tex]
Therefore, the speed of the given car is 233.212 miles/hr.
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An initially neutral glass rod is rubbed with silk. It becomes positively charged by_____.a) electrons are created on the rod.
b) electrons are transferred from the silk to the rod.
c) protons are transferred from the silk to the rod.
d) protons are transferred from the rod to the silk.
e) electrons are transferred from the rod to the silk.
Answer:
e) electrons are transferred from the rod to the silk.
Explanation:
An initially neutral glass rod contains equal number of electron and proton.
If the rod becomes positively charged after being rubbed with silk, then the rod must have lost some its electron to the silk since electrons are more mobile than protons, leaving the rod with excess positive charge (protons), and the silk will be negatively charged (excess electron).
Thus, the rod becomes positively charged by transfer of electrons from rod to the silk.
e) electrons are transferred from the rod to the silk.
A ball is thrown upward with a speed of 28.2 m/s.A. What is its maximum height?B. How long is the ball in the air?C. When does the ball have a speed of 12m/s?
Answer:
(A) The maximum height of the ball is 40.57 m
(B) Time spent by the ball on air is 5.76 s
(C) at 33.23 m the speed will be 12 m/s
Explanation:
Given;
initial velocity of the ball, u = 28.2 m/s
(A) The maximum height
At maximum height, the final velocity, v = 0
v² = u² -2gh
u² = 2gh
[tex]h = \frac{u^2}{2g}\\\\h = \frac{(28.2)^2}{2*9.8}\\\\h = 40.57 \ m[/tex]
(B) Time spent by the ball on air
Time of flight = Time to reach maximum height + time to hit ground.
Time to reach maximum height = time to hit ground.
Time to reach maximum height is given by;
v = u - gt
u = gt
[tex]t = \frac{u}{g}[/tex]
Time of flight, T = 2t
[tex]T = \frac{2u}{g}\\\\ T = \frac{2*28.2}{9.8}\\\\ T = 5.76 \ s[/tex]
(C) the position of the ball at 12 m/s
As the ball moves upwards, the speed drops, then the height of the ball when the speed drops to 12m/s will be calculated by applying the equation below.
v² = u² - 2gh
12² = 28.2² - 2(9.8)h
12² - 28.2² = - 2(9.8)h
-651.24 = -19.6h
h = 651.24 / 19.6
h = 33.23 m
Thus, at 33.23 m the speed will be 12 m/s
separating paper from a mixture by burning it is it a physical change true or false
Answer:
false
Explanation:
burning something is a chemical change
The Sun emits a ray of light with a wavelength of 550 nm.a. What is its frequency?b. The ray falls on a flat piece of quartz at an angle of 70º relative to the surface. The ray refracts to an angle of 76.46º relative to the surface. What is the index of refraction for quartz?c. What is the speed of light in quartz?
Answer:
Frequency of light = 5454.5 GHz
Refractive index = 1.46
speed of light in quartz = 2.05 x 10^8 m/s
Explanation:
The wavelength of the light λ = 550 nm = 550 x 10^-9 m
frequency = ?
Frequency of light f = c/λ
where
c is the speed of light = 3 x 10^8 m/s
substituting, we have
f = (3 x 10^8)/(550 x 10^-9)
frequency f = 5.4545 x 10^14 Hz
==> 5454.5 GHz
The relationship between refractive index is given as
n1 sinθ1 = n2 sinθ2
where
n1 is the refractive index of air = 1
θ1 is the angle of incidence = (90 -70) = 20°
θ2 is the angle of refraction = (90 - 76.46) = 13.54°
n2 is the refractive index of quartz
substituting values, we have
1 x sin 20 = n2 x sin 13.54
0.3420 = n2 x 0.2341
refractive index of quartz n2 = 0.3420/0.2341 = 1.46
From n = c/v
where
n is the refractive index of quartz
c is the speed of light in air = 3 x 10^8 m/s
v is the speed of light in quartz = ?
substituting values, we have
1.46 = (3 x 10^8)/v
v = (3 x 10^8)/1.46 = 2.05 x 10^8 m/s
Assess platos theory of the forms from Aristotle's standpoint. is he correct? Explain..it’s philosophy
Answer:
The task of philosophy, for Plato, is to discover through reason (“dialectic”) the nature of the Forms, the only true reality, and their interrelations, culminating in an understanding of the most fundamental Form, the Good or the One. Aristotle rejected Plato’s theory of Forms but not the notion of form itself. For Aristotle, forms do not exist independently of things—every form is the form of some thing. A …
Explanation:
You are hired to plan stunts for the next James Bond movie. In one of the film's opening scenes, Bond is going to evade some goons by stepping off a building and landing in the bed of a moving garbage truck. From the top of the building, he will fall 15 meters straight down before landing in the truck, which will be driving by with a constant speed of 22 m/s.
Part A. How fast will the stuntman be moving the moment he hits the truck?Part B. How far from the building should the truck be when you give the stuntman the signal to drop off the ledge?
Answer:
Explanation:
height of the building h = 15 m
initial vertical velocity u = 0
v² = u² + 2 g h
u = 0 , final velocity after falling height h
h = 15
v² = 2 x 9.8 x 15
v = 17.14 m /s
. Time of fall be t
h = 1/2 g t²
15 = 1/2 x 9.8 x t²
t = 1.749 s
This time will be required for truck to come under the building .
speed = distance / time
distance = speed x time
= 22 x 1.749
38.5 m
Truck should be at a distance of 38.5 m . when the stuntman starts falling .
Part A: The time required to hit the truck by a stuntman is 1.749 s.
Part B: The distance between the building and truck is 38.47 m.
How do you calculate the time of hitting the truck and the distance between the building and truck?Given that the height h of the building is 15 m. The constant speed s of driving the truck is 22 m/s.
Part A
The final velocity can be calculated by the formula given below.
[tex]v^2 = u^2 + 2gh[/tex]
Where v is the final velocity, u is the initial velocity, g is the gravitational acceleration and h is the height of the building.
The initial velocity u will be zero and g = 9.8 m/s2.
Substituting the values,
[tex]v^2 = 0 + 2\times 9.8\times 15[/tex]
[tex]v^2 = 294[/tex]
[tex]v = 17.14 \;\rm m/s[/tex]
The time to hit the truck can be calculated as given below.
[tex]h = ut + \dfrac {1}{2}gt^2[/tex]
[tex]15 = 0 + \dfrac {1}{2}\times 9.8 \times t^2[/tex]
[tex]t^2 = 3.06[/tex]
[tex]t = 1.749 \;\rm s[/tex]
Hence we can conclude that the time required to hit the truck by stuntman is 1.749 s.
Part B
The distance between the building and truck is calculated as given below.
[tex]d = s \times t[/tex]
[tex]d = 22 \times 1.749[/tex]
[tex]d =38.47\;\rm m[/tex]
Hence the distance between the building and truck is 38.47 m.
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A major advantage of case studies is ________.
For a circuit find the total potential differences if two resistors
of resistance R1 and R2 respectively kept series wise for a
current I passing through it.
-- If the two resistors are connected in series, then they behave like a single resistor whose resistance is (R₁ + R₂) ohms.
-- For any resistance, the potential difference (volts) across the resistance is V = (current) x (resistance) .
-- So in THIS circuit, V = I x (R₁ + R₂) .
Usted coloca un recipiente con de mar sobre una bascula y toma nota de la lectura que indica la báscula . Ahora usted suspende la estatua del ejemplo 14.5 en el agua ( figura 14.18 ). Cómo cambia la lectura de la bascula ? ) Se incrementa en 7.84 N; ii) disminuye en 7.84 N: ) permanece igual: ) ninguna de las respuestas anteriores es correcta . cambia la lectura de la báscula cuando la estatua se sumerge en el agua?
Answer:
t the apparent weight of the body decreases when it is submerged in water,
F'_{e} = mg - ρ_liquid g V
Explanation:
When a container is placed on a scale it falls due to the weight of the body and the needle attached to the spring shows the value of the weight that is proportional to the displacement of the spring.
When the body is immersed in a container with water, it exerts a push on the body, so its apparent weight decreases and the compression of the scale is less, therefore it indicates a smaller weight of the body.
Let's write the equilibrium equation for the body is placed on the scale without water
[tex]F_{e}[/tex] - W = 0
F_{e} = W
Let us propose the equilibrium equation for this case
F'_{e} + B - W = 0
where F'_{e} is the elastic force, B the push of the liquid and W the weight of the body
F'_{e} = W -B
The thrust of the liquid is given by the Archimedean principle which says that it is equal to the weight of the dislodged liquid
B = ρ g V
F'_{e} = mg - ρ_liquid g V (1)
we use the density concept
ρ_body = m / V
we substitute
F'_{e}= g V (ρ_body - ρ_agua) (2)
F'_{e} < F_{e}
We see from expression is 1 and 2 that the apparent weight of the body decreases when it is submerged in water,
To know the specific value of the decrease, the weight of the body in the air or its density and volume must be known
How many planets are there?
Answer:
There are eight planets in our Solar System.
Explanation:
Answer:
8
Explanation:
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
What is an atmospheric window?
A. A region in the atmosphere where light can get through
B. A region in the atmosphere where infrared radiation can penetrate
C. A range of wavelengths of electromagnetic radiation which transmit through the Earth's atmosphere
D. A part of the upper atmosphere with depleted ozone
E. Only A and D above
Answer:
A
Explanation:
Because it is a region in atmosphere that allows an particular wavelength of EMWs to pass through and of the options above only visible light is allowed to pass through
Which elements are found in all four components of Earth?
Answer:
oxygen silicon aluminun iron
PLEASE HELP 3 + 2 ∙ 4 = 3 + (2 ∙ 4) True False
The given expression 3 + 2 ∙ 4 = 3 + (2 ∙ 4) is absoulutely correct so it is True.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
3 + 2 ∙ 4 = 3 + (2 ∙ 4)
We know that in every calculation we cannot separate multiplication and need to solve them first
So,
3 + 8 = 3 + 8
11 = 11
Hence, 3 + 2 ∙ 4 = 3 + (2 ∙ 4) is absoulutely correct.
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Calculate the speed for a car that went a distance of 125 miles in 2 hours time.
Answer:
65 miles per hour
Explanation:
Speed= Distance/Time
Following this formula, we just need to insert the values.
The distance is 125 miles and the time is 2 hours
125=2=65
65 miles per hour
The speed of the car was exactly 125 mi per 2 hours.
In a more familiar unit, 125mi/2hr = 62.5 mi/hr.
What can make your computer "sick"?
Answer:
An virus
Explanation:
An computer virus can come from websites that try to steal your Information or apps that's not necessarily scanned and protected so that yor computer can be safe from viruses.
A computer may encounter problems or get "ill" for a variety of reasons. The system can become infected with malware and viruses, which can cause performance issues and data loss.
A failing hard drive or defective RAM are examples of hardware issues that can lead to instability and crashes. Overheating can lead to hardware damage or performance deterioration and is frequently brought on by insufficient cooling or clogged air vents.
Systems may become unstable as a result of software conflicts between out-of-date or incompatible programmes.
Electrical problems or power surges can harm components and interfere with proper operation. Computer issues can also be caused by human error, such as inadvertent file deletion or poor configuration.
Thus, a computer can be kept in good condition with routine maintenance, security precautions, and appropriate usage.
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_____ is the bending of waves as they pass by a barrier or through an opening.
A. Interference
B. Coherence
C. Diffraction
D. None of the above
Answer:
C. Diffraction
Explanation:
Diffraction is the bending of waves as they pass by a barrier or through an opening. One of the condition for diffraction is that the size of the aperture or obstacle is comparable to the wavelength of light. Fresnel diffraction and Fraunhofer diffraction are two types of diffraction.
Hence, the correct option is (c) "Diffraction".
What is the approximate height of the average adult in centimeters?a. 100b. 200c. 300
Answer:
Option B
200 cm
Explanation:
From statistical evidence, the average height of an adult is about 200cm. This is like 2m or 6.56 feet.
Despite the fact that there are some exceptions; with some adults reaching heights of about seven feet, and some dwarfs who stand only about 1 m tall, most adults only grow to about 200cm in height before they start shrinking due to old age.
As an object in motion becomes heavier, its kinetic energy _____. A. increases exponentially B. decreases exponentially C. increases proportionally D. decreases proportionally
Answer:
c
Explanation:
By how many orders of magnitude is the distance to the nearest stars greater than the orbital radius of Neptune
a battery of 6v is connected in series with resistors of 0.1 ohm, 0.15 ohm, 0.2 ohm, 0.25 ohm and 6 ohm. how much current would flow through 0.2 ohm resistors
Answer:
0.9 Amps
Explanation:
Ohm's law: Voltage = Current x Resistance
Rearrange equation:
Current =Voltage/Resistance
Voltage=6v
In a series circuit the total resistance is the sum of all the resistors so the total resistance = 0.1+0.15+0.2+0.25+6=6.7 Ohms
6/6.7 = 0.9 (1dp) Amps
Because it is a series circuit, the current is the same throughout the entire circuit, all the resistors have a current of 0.9 Amps.
Hope this helped!