Answer:
The focal length is [tex]f = -0.2 \ m[/tex]
The radius of curvature is [tex]R = -0.4 \ m[/tex]
Explanation:
From the question we are told that
The magnification of the mirror is [tex]m = \frac{1}{2}[/tex]
The distance of the person from the mirror(the object distance ) is [tex]u = - 1.0 \ m[/tex]
The negative sign shows that it is been placed in front of the mirror
Generally the magnification of the mirror is mathematically represented as
[tex]m = \frac{v}{u}[/tex]
=> [tex]\frac{1}{4} = \frac{v}{-u}[/tex]
=> [tex]v = \frac{- 1}{4}[/tex]
Generally from the lens equation we have that
[tex]\frac{1}{f} = \frac{1}{u} + \frac{1}{v}[/tex]
=> [tex]\frac{1}{f} = \frac{1}{-1 } + \frac{1}{-\frac{1}{4} }[/tex]
=> [tex]f = -0.2 \ m[/tex]
Generally the radius of curvature is mathematically represented as
[tex]R = 2 * f[/tex]
=> [tex]R = 2 * - 0.2[/tex]
=> [tex]R = -0.4 \ m[/tex]
Help me please..
Suppose a car is moving in a straight line and steadily increases its
speed. It goes from 0 miles/hour to 15 miles/hour the first second and 15
miles/hour to 30 miles/hour the next second. What is the acceleration?
A)10 miles/hour/second
B) 15 miles/hour/second
C) 20 miles/hour/second
D)30 miles/hour/second
During an adiabatic process an object does 100 J of work and its temperature decreases by 5K. During another process it does 25 J of work and its temperature decreases by 5K. Its heat capacity for 2nd process is:_________.
a. 20J/K
b. 24J/K
c. 15J/K
d. 100/K
Answer:
(C) the heat capacity for 2nd process is 15 J/K.
Explanation:
Given;
work, W = 100 J
change in temperature, = -5 K
For the first process;
dQ = dU + dW
for adiabatic process, dQ = 0
0 = dU + dW
dU = - dW
dU = -100 (This remains the same for the second process).
For the second process;
Let C be the heat capacity for 2nd process.
C (dT) = dU' + dW'
dU' = dU = -100
W' = 25
dT = -5 (decrease in temperature)
C(-5) = -100 + 25
-5C = -75
C = -75 / -5
C = 15 J/K.
Therefore, the heat capacity for 2nd process is 15 J/K.
Please help!!
A person is driving in a circle at 20m/s. Are they accelerating?
characteristics of projectile motion.
Answer:
Objects experiencing projectile motion have a constant velocity in the horizontal direction and a constantly changing velocity in the vertical direction. The trajectory resulting from this combination always has the shape of a parabola.
Explanation:
Ultrasound is:
a
of lower frequency than the human ear can detect.
b
the speed at which the latest, top-secret jet aircraft fly.
c
used to make internal images of the human body.
d
extremely painful to the human ear.
Answer:
C
Explanation:
not A as those are frequency higher than what human can hear
b is a joke
At what angle in degrees is the first-order maximum for 460-nm wavelength blue light falling on double slits separated by 0.0500 mm?
Answer:
The angle is [tex]\theta = 0.52^o[/tex]
Explanation:
From the question we are told that
The number of order is n = 1
The wavelength is [tex]\lambda = 460 \ nm = 460 *10^{- 9} \ m[/tex]
The separation between the slit is [tex]d = 0.0500 \ mm = 5 *10^{-5} \ m[/tex]
Generally the condition for constructive interference is
[tex]d sin \theta = n * \lambda[/tex]
=> [tex]\theta = sin^{-1}[\frac{n * \lambda }{ d} ][/tex]
=> [tex]\theta = sin^{-1}[\frac{1 * 450 *10^{-9}}{ 5*10^{-5}} ][/tex]
=> [tex]\theta = sin^{-1}[0.009 ][/tex]
=> [tex]\theta = 0.52^o[/tex]
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward.
Complete question is;
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. What's the Magnitude and Direction?
Answer:
Magnitude = 14 m
Direction = eastward
Explanation:
The magnitude and direction of this cross-country skier will be the gotten from his displacement.
Now, from directions of 4 cardinal points, we can say that the eastward direction is on the positive x-axis and is positive while the westward direction is on the negative x-axis and is negative.
From those positive and negative signs above, we can represent the movement of the skier as;
moves 36 meters eastward = 36 m
moves 44meters westward = -44 m
Moves finally 22 meters eastward = 22
Thus, displacement will be:
36 - 44 + 22 = 14
It is positive, and thus, the magnitude is 14 and the direction is east ward.
how large amount of energy is produced during the fission of uranium
Answer:
answer is a very large amount of energy is produced from a very small mass
Explanation:
nuclear energy is produced either by fusion or fission the former is fusion of lighter atoms into heavier elements while the letter is the splitting of a heavier atom into lighter atoms. both produce tremendous amount of energy fusion causes compassion of mass wild fission reduces it. and produce it. fusion does not produce radioactive particles while fission does (alpha and beta particles and neutrons)
Find the mass and weight of a body if a resultant force of 850 N causes its speed to increase from 6 m/s to 15 m/s in a time of 5s.
Hi! Let's see.
TOPIC: Mass and Weight.Explanation:
Data:
Force(F) = 850 NInitial Velocity([tex]\bold{V_{0}}[/tex]) = 6 m/sFinal Velocity([tex]\bold{V_{f}}[/tex]) = 15 m/sTime(t) = 5 sGravity(g) = 9.8 m/s²Mass(m) = ?Weight(w) = ?==================================================================
In order to calculate the mass, we must first find the acceleration.
to find the acceleration, we apply the acceleration formula in UARM:
[tex]\boxed{\boxed{\bold{a=\frac{V_{f}-V_{0}}{t}}}}[/tex]Replace per data:
[tex]\boxed{a=\frac{15\frac{m}{s}-6\frac{m}{s}}{5s}}}}[/tex]We subtract in the numerator:
[tex]\boxed{a=\frac{9\frac{m}{s}}{5s}}}[/tex]It divides:
[tex]\boxed{\bold{a=1.8\frac{m}{s^{2}}}}[/tex]==================================================================
Mass
Knowing it's acceleration, we can proceed to calculate the mass, applying it's formula:
[tex]\boxed{\boxed{\bold{m=\frac{F}{a}}}}[/tex]Replace:
[tex]\boxed{m=\frac{850N}{1.8\frac{m}{s^{2}}}}}}[/tex]Newton equivalents to kilograms:
[tex]\boxed{m=\frac{850kg*\frac{m}{s^{2}}}{1.8\frac{m}{s^{2}}}}}}[/tex]Simplify the m/s²:
[tex]\boxed{m=\frac{850kg}{1.8}}}[/tex]It divides:
[tex]\boxed{\bold{m=472.22\ kg}}[/tex]Answer: The mass of the body is 472.22 kilograms.
==================================================================
Weight
To calculate the weight, we use it's formula:
[tex]\boxed{\boxed{\bold{W=m*g}}}}}[/tex]Replace:
[tex]\boxed{W=472.22*9.8\frac{m}{s^{2}}}}}[/tex]It multiplies:
[tex]\boxed{\bold{W=4627.75\ N}}}}[/tex]Answer: The weight of the body is 4627.75 Newtons.
Final Answer:
Mass = 472.22 kg
Weight = 4627.75 N.
Cordially Alejanndraax. Greetings!
What is the effective dose to a worker who receives uniform, whole-body dose of 8.4 mGy from gamma-rays and 1.2 mGy from 80-Kev neutrons?
Given :
Whole-body dose of 8.4 mGy from gamma-rays and 1.2 mGy from 80-Kev neutrons.
To Find :
The effective dose to a worker.
Solution :
By the given information effective dose to a worker is given by :
E.D = ( 8.4 × 1.2 × 0.12 ) + ( 1.2 × 1 × 1 )
E.D = 1.2096 + 1.2
E.D = 2.4096
Therefore, the effective dose to a worker is 2.4096 .
Which is NOT a form of erosion?
a
Rivers moving dirt
b
Water running downhill, carving out the land and pushing dirt to the side
c
Water evaporating and condensing
d
Heavy winds blowing soil to other locations
HELP ASAP
Answer:
water evaporating and condensing, because that's the water cycle and it isnt eroding anything
A tennis ball is traveling at 50 m/s and has a kinetic energy of 75J. Calculate the mass of the tennis ball.
20 pts
The earth's North Pole is slightly:
O electric
O magnetic
O electromagnetic
Answer:
magnetic
Explanation:
that is how compasses work
Bonnie and Clyde are trying to steal the world's largest diamond from a 10 story
building. Bonnie needs to make a landing spot for when Clyde jumps with the
diamond. She knows they will be jumping from 58 feet. Neglecting air resistance,
what is the speed Clyde will be falling at right before hitting the ground?
Answer:
The speed Clyde will be falling at is 33.72.
A tennis ball moves 16 meters northward, then 22 meters southward, then 12 meters northward, and finally 32 meters southward.
Explain dispersion of light
[tex]\star\:\:{\sf{\underline{\red{Diagram\:}}}} \\ [/tex]
[tex]\setlength{\unitlength}{1cm} \begin{picture}(1,0) \thicklines\qbezier(0,0)(0,0)(2,2)\qbezier(0,0)(0,0)(4,0)\qbezier(4,0)(2,2)(2,2)\put( - 0.29, 0.45){\line(2,1){1.6}}\put( - 0.29, 0.45){\vector(2, 1){1}}\put(1.2, 1.26){\line(1, 0){1.5}}\put( 1.2, 1.26){\vector(1, 0){0.9}}\put(2.7, 1.26){\line(1, 0){2.5}}\put(2.75,1.25 ){\line(6, -1){2.5}} \put(2.75,1.25 ){\line(5,-2){2.5}} \put(2.75,1.25 ){\line(4,-1){2.5}}\put(2.75,1.25 ){\line(3,-2){2.5}}\put(2.75,1.25 ){\line(5, - 3){2.5}}\put(2.75,1.25 ){\line(5,-4){2.5}}\put(5.5, -1.4 ){\line(0,1){3}}\put(7.2, -1.4 ){\line(0,1){3}} \put(5.7, 1.2 ){ $\bf Red$}\put(5.7, 0.8 ){ $\bf Orange$}\put(5.7, 0.4 ){ $\bf Yellow$}\put(5.7, 0){ $\bf Green$}\put(5.7, - 0.4 ){ $\bf Blue$}\put(5.7, - 0.8){ $\bf
Indigo$}\put(5.7, - 1.2 ){ $\bf Violet $}\end{picture}[/tex]
[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\orange{What \:is\: the\: dispersion\: of \:light\:?\:}}}} \\ [/tex]
Passing of white light through a glass prism which splits into spectrum of colours.Those colours are to be said as VIBGYOR (violet, indigo, blue, green, yellow, orange, red).This process is called as dispersion of light[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\blue{Examples \ of \ dispersion \ of \ light\:}}}} \\ [/tex]
Dewdrops in morning (mostly in winter season)Rainbow FormationCD (compact disc)DiamondOil fuel on road[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\purple{Additional\: Information\:}}}} \\ [/tex]
"Dispersion of light" phenomenon is given by Issac Newton.Issac Newton conducted an experiment where he took a glass prism and passed white light rays through it.Violet colour has the highest dispersion of light.Red is the least deviated colour of light.
The US Patent and Trademark Office is responsible for protecting the intellectual property of inventors. A patent is granted if the idea is original and scientifically valid. A student creates a device that they claim will change the world by changing the way we understand energy. The student includes a table of energy measurements as part of his application.
Answer:
Deny the patent- the machine violates the law of conservation of mass
Explanation:
Took the test
WGVU-AM is a radio station that serves the Grand Rapids, Michigan area. The main broadcast frequency is 1480kHz. At a certain distance from the radio station transmitter, the magnitude of the magnetic field of the electromagnetic wave is 3.0x10^-11T.
a. Calculate the wavelength
b. What is the angular velocity?
c. Find the wave number of the wave.
d. What is the amplitude of the electric field at this distance from the transmitter?
Answer:
a
[tex]\lambda = 202.7 \ m[/tex]
b
[tex]w = 9.3 *10^{6} \ rad/s[/tex]
c
[tex]k = 0.031 m^{-1}[/tex]
d
[tex]E_{max} = 9.0 *10^{-3} \ V/m[/tex]
Explanation:
From the question we are told that
The frequency of the radio station is [tex]f= 1480 \ kHz = 1480 *10^{3}\ Hz[/tex]
The magnitude of the magnetic field is [tex]B = 3.0* 10^{-11} \ T[/tex]
Generally the wavelength is mathematically represented as
[tex]\lambda = \frac{c}{f}[/tex]
Here c is the speed of light with value [tex]c = 3.0 *10^{8} \ m/s[/tex]
So
[tex]\lambda = \frac{3.0 *10^{8}}{ 1480 *10^{3}}[/tex]
=> [tex]\lambda = 202.7 \ m[/tex]
Generally the angular frequency is mathematically represented as
[tex]w = 2 \pi * f[/tex]
=> [tex]w = 2 * 3.142 * 1480 *10^{3}[/tex]
=> [tex]w = 9.3 *10^{6} \ rad/s[/tex]
Generally the wave number is mathematically represented as
=> [tex]k = \frac{2 \pi }{\lambda}[/tex]
=> [tex]k = \frac{2 * 3.142 }{ 202.7}[/tex]
=> [tex]k = 0.031 m^{-1}[/tex]
Generally the amplitude of the electric field at this distance from the transmitter is mathematically represented as
[tex]E_{max} = c * B[/tex]
=> [tex]E_{max} = 3.0 *10^{8} * 3.0* 10^{-11}[/tex]
=> [tex]E_{max} = 9.0 *10^{-3} \ V/m[/tex]
What is the correct unit for the following measurement?
Jane wants to know how long her room is.
gm/cm3
liters (L)
cubic centimeters (cm3)
Celsius (°C)
grams (g)
meters (m)
If Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
In the question, we are told that Jane wants to measure her room. This means that Jane wants to measure length. The only unit of length that is mentioned among the options is meters (m).
This means that, if Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
Learn more: https://brainly.com/question/8646601
Answer: meters (m)
Explanation:
A brick of mass 2.0kg is at rest. It falls to the ground through a
distance of 5.0 m. The acceleration of free fall g is 10 m/s2.
Air resistance can be ignored. At what speed does the brick hit
the ground?
Answer:
I may not have the answer so i'll just give up some hints.
Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s. Choose how long the object is falling. In this example, we will use the time of 8 seconds. Calculate the final free fall speed (just before hitting the ground) with the formula v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s . Find the free fall distance using the equation s = (1/2)gt² = 0.5 * 9.80665 * 8² = 313.8 m .h = 0.5 * 9.8 * (1.5)^2 = 11m. b. V = gt = 9.8 * 1.5 = 14.7m/s. A feather and brick dropped together. Air resistance causes the feather to fall more slowly. If a feather and a brick were dropped together in a vacuum—that is, an area from which all air has been removed—they would fall at the same rate, and hit the ground at the same time.When an object's point is taller the thing that is going down it will go faster than when the point is lower. EXAMPLE: The object is the tennis ball if you drop it down the higher hill it will be faster than if you drop it down a shorter hill. In other words, if two objects are the same size but one is heavier, the heavier one has greater density than the lighter object. Therefore, when both objects are dropped from the same height and at the same time, the heavier object should hit the ground before the lighter one.
I hope my little bit (big you may say) hint help you with your question.
The change of distance with respect to time is defined as speed. Speed is a scalar quantity. The speed of brick while hits the ground is 9.90 m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
m is the mass of block =2.0 Kg
u is the initial velocity of fall =0 m/sec
h is the distance of fall = 5.0 m
g is the acceleration of free fall =10m/sec²
v is the hitting velocity of brick=?
According to Newton's third equation of motion
[tex]\rm v^2=u^2+2gh\\\\ \rm v^2=2gh\\\\ \rm v= \sqrt{2gh}[/tex]
[tex]\rm v= \sqrt{2\times 9.81 \times 5.0} \\\\ \rm v=9.90\;m/sec[/tex]
Hence the speed of the brick while hits the ground is 9.90 m/sec.
To learn more about the speed refer to the link ;
https://brainly.com/question/7359669
If the x-component of vector A in the figure below is 3cm and the y component of A is 4cm, then what is the vector quantity of A?
Question 9 options:
25 cm - 37 degrees
7 cm - 37 degrees
7 cm - 53 degrees
5 cm - 53 degrees
Answer:
5 cm - 53 degrees
Explanation:
[tex] \sqrt{ {4}^{2} + {3}^{2} } = 5cm[/tex]
[tex] \tan ^{ - 1} (4 \div 3) [/tex] = 53°
Given f(x)=2x+7, which of the following is the value of x when f(x)=13?
Answer:
The value of x is 3
Explanation:
Equation Solving
We are given the equation
f(x) = 2x + 7
Let's find the value of such that f(x) = 13.
2x + 7 = 13
Subtracting 7:
2x = 13 - 7
2x = 6
Dividing by 2:
x = 6/2
x = 3
The value of x is 3
What are Newton’s 3 laws of motion?
Answer: It states that for every action, there is an equal and opposite reaction.
I hope this helps, and Happy Holidays! :)
One of two 25-year-old identical twins begins a trip on a spaceship traveling at 0.8 c while her twin remains on Earth. The twin on Earth tracks her twin's trip for 10 years. After ten years, what age is the twin on the spaceship according to the twin on Earth?
a. 41.7 years old.
b. 35 years old.
c. 31 years old.
d. 37.5 years old.
The compound formed from the elements calcium and chlorine is known as
Answer:
calcium chloride
Explanation:
an inorganic compound,a salt with the chemical formula CaCl2
The periodic table is an arrangment of the chemical elements, ordered by atomic number, into families, and by doing so illustrates the periodic properties of the elements. If we review the elements found in the second column of the periodic table, the alkali earth metals, we know one characteristic common to all elements in this family, besides being metals, is that they are
Answer:
Solid at room temperature
Explanation
Since these elements are metals they must be said at room temperature
If the same force is applied to each of these balls, which one will have the LEAST
acceleration
A
m 1.0 kg
B
m=7.3 kg 1
С
m=0.75 kg
D
m=0.5 kg
Answer:
d is the awnser
Explanation:
MABY?!??
A ping pong ball of mass 0.0027 kg and radius 0.020 m is completely submerged 0.3 m in water. How fast is it moving when it emerges from the water?
Answer:
The value speed is [tex]v = 8.192 \ m/s[/tex]
Explanation:
From the question we are told that
The mass of the ping pong ball is [tex]m = 0.0027 \ kg[/tex]
The radius is [tex]r = 0.020 \ m[/tex]
The depth of the ping pong inside the water is [tex]s = 0.3 \ m[/tex]
Gnerally the force with which the ball will emerge will from the water is mathematically represented as
[tex]F = B - m g[/tex]
Here B is the Buoyant force on the ball which is mathematically represented as
[tex]B = \rho_w * V_b * g[/tex]
Here [tex]V_b[/tex] is the volume of the ball which is mathematically represented as
[tex]V_b = \frac{4}{3} * \pi * r^3[/tex]
=> [tex]V_b = \frac{4}{3} * 3.142 * 0.020 ^3[/tex]
=> [tex]V_b = 3.35*10^{-5} \ m^3[/tex]
[tex]\rho_w[/tex] is the density of water with value [tex]\rho_w = 1000 \ kg/m^3[/tex]
So
[tex]B = 1000 * 3.35*10^{-5} * 9.8[/tex]
=> [tex]B = 0.3284 \ N[/tex]
So
[tex]F = 0.3284 - 0.0027 * 9.8[/tex]
=> [tex]F = 0.3284 - 0.02646[/tex]
=> [tex]F = 0.3020 \ N[/tex]
Generally force is mathematically represented as
[tex]F = m * a[/tex]
So
[tex]0.3020 = 0.0027 * a[/tex]
=> [tex]a = 111.84 \ m/s^2[/tex]
Generally from kinematic equation
[tex]v^2 = u^2 + 2as[/tex]
Here u is the velocity of the ping pong at depth of 0.3 m and the value is zero given that at that point there was no motion
So
[tex]v^2 = 0^2 + 2 * 111. 84 * 0.3[/tex]
=> [tex]v = 8.192 \ m/s[/tex]
For an n- channel JFFT, IDSS = 8 mA, and VP = - 6 V. If VGS = - 2 V. What is the value of the drain current ID?
Answer: the value of the drain current ID is 3.56 mA
Explanation:
Given that;
IDSS = 8 mA
VP(VGS_OFF) = - 6 V.
VGS = - 2 V
value of the drain current ID = ?
Drain current ID is expressed as;
ID = IDSS [ 1 - (VGS/VP(VGS_OFF)) ]²
we substitute our value
ID = 8 [ 1 - (-2 / -6) ]²
ID = 8 [ 1 - 0.3333 ]²
ID = 8 [ 0.6667 ]²
ID = 8 [ 0.4444 ]
ID = 3.5552 ≈ 3.56 mA
Therefore the value of the drain current ID is 3.56 mA
A torque acting on an object tends to produce..
Answer:rotation
Explanation: