The average velocity of the brady is 0m/s when he walks in given interval of time.
Average velocity is defined as the ratio of displacement to the time interval in which the displacement occur.
V = Δx/Δt
Where
V is average velocity
Δx is the displacement
Δt is the time interval
brady walks in north direction = 30 m
brady walks in the south direction = 30 m
displacement = 30m - 30m
Δx=0m
Brady's displacement is 0 meters to the right of where he started.
Δt = 60 sec
average velocity is given as
V = Δx/Δt
0/60 = 0m/s
The average velocity of the brady is 0m/s when he walks in given interval of time.
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the equation is the position of a particle in space at time t. find the particle's velocity and acceleration vectors. then write the particle's velocity at as a product of its speed and direction.
The particle's velocity at as a product of its speed and direction is equal to 10 . [tex](\frac{8}{10},0,\frac{6}{10} )[/tex]
What is velocity?Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.
A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.
The particle's velocity is the derivative of its position. The particle's acceleration is the derivative of its velocity. You can calculate the velocity and acceleration as follows:
[tex]\vec{v}(t)=\frac{d r}{d t}=\frac{d}{d t}(8 t+5) \vec{i}+\frac{d}{d t}\left(8 t^2-2\right) \vec{j}+\frac{d}{d t}(6 t) \vec{k}=8 \vec{\imath}+16 t \vec{j}+6 \vec{k}[/tex]
[tex]\vec{a}(t)=\frac{d v}{d t}=\frac{d}{d t}(8) \vec{i}+\frac{d}{d t}(16 t) \vec{j}+\frac{d}{d t}(6) \vec{k}=0 \vec{i}+16 \vec{j}+0 k[/tex]
The velocity at t = 0 is [tex]\vec{v}(0)=8 \vec{i}+0 \vec{j}+6 k[/tex]
if the speed at t = 0 is [tex]||\vec{v}(0)||[/tex] = 10 then the velocity at t = 0 can be written as a product of the speed at t = 0 & the direction at t = 0 is
[tex]\vec{v}(0)=\|\vec{v}(0)\| \frac{\vec{v}(0)}{\|\vec{v}(0)\|}=10 \cdot\left(\frac{8}{10}, 0, \frac{6}{10}\right)[/tex]
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Full question
The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t equals 0 as a product of its speed and direction. What is the velocity vector?
which theory best explains color vision in humans? question 23 options: 1) the trichromatic theory 2) the opponent-process theory 3) both the place theory and the frequency theory 4) both the opponent-process theory and the trichromatic theory
Both the trichromatic and opponent-process theories are valid in explaining colour vision in humans.
What is trichromatic theory?According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as the cones' ability to change the neuronal activity ratio when different colors are present (Like a projection T.V.). The precise hue that we see is therefore determined by the ratio of each color to the others.
This hypothesis was developed as a result of color mixture tests in which it was discovered that a combination of three primary colors could match any hue. In the latter part of the seventeenth century, Newton's studies of light and colors sparked the first scientific interest in color.
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vector a has magnitude 4 m and is directed to the south. vector a has magnitude 3 m and is directed to the east. what are the magnitude and direction of s – e? a. 5 m, southeast b. 1 m, southwest c. 5 m, southwest d. 1 m, southeast
The correct option is (c) 5m southwest.
What are vectors?A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
the vector S and E is,
S = -4m j
E = -3m i
the vector is
|S - E| = √(-4)² + (-3)²
|S - E| = 5m
Types of Vectors List
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check if
v^{2} = u^{2}+2as is dimensionally correct
Using dimensional analysis; L²/T⁴ = 2 * L²/T⁴
Thus, v² = u² + 2as is dimensionally correct.
What is dimensional analysis?Dimensional analysis is the process whereby the various quantities of measurement are expressed in their basic unit or the fundamental units from which they are derived.
The fundamental units which are used in dimensional analysis is done is:
mass expressed as Mlength expressed as Ltime expressed as TTo check if v² = u² + 2as is dimensionally correct:
unit of v = m/s = L/T
unit of u = L/T
unit of a = L/T²
s = L
(L/T)² = (L/T)² + L * L/T²
L²/T⁴ = L²/T⁴ + L²/T⁴
L²/T⁴ = 2 * L²/T⁴
The expression, v² = u² + 2as is dimensionally correct.
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A balance has 30N on the left-hand side and 50N on the
right hand side. What weight must be added so that.
the sides are balanced, and to which side?
2. A small 30-kilogram canoe is floating downriver at a speed
of 2 m/s. What is the canoe's kinetic energy?
a. 32 J
c. 120 J
b. 60 J
d. 900 J
A lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. After several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. As the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. The lion and the gazelle eventually each reach constant but different speeds. Which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
The graph shown in the first option shows a reasonable representation of the velocities of the lion and the gazelle as functions of time, therefore the correct answer is option A.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem if a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above.
Thus, the correct answer is option A.
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You measure the mass of a 0.500 kg (500 g) standard on your balance four times. The following measurements result: 492 g, 507 g,
505 g, 496 g.
Which choice best describes your balance?
not precise and not accurate
not precise but accurate
precise but not accurate
precise and accurate
If the measurement is taken for four different times for same weight and is always different then the balance is precise but not accurate.
What are ways to measure mass?There are numerous instruments available for measuring mass in various settings. The use of gravitational interaction between objects is one of them, along with balances and scales, measurement transducers, vibrating tube sensors, Newtonian mass measurement devices, and balances and scales.
The kilogram, which is defined as equal to 6.6260 x 10³⁴joule second in terms of Planck's constant, is the unit of mass in the International System of Units (SI). A joule is equal to one kilogram multiplied by one square meter per second.
A beam balance is always used to determine mass. Because a spring balance measures weight rather than mass, it will read differently depending on where you are on the planet.
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A bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s2, how long (t) was the bullet in the air?
Since the gravity acts on the vertical component of the velocity of the object, the bullet will spend 0.34 s in air.
What is Vertical Motion ?
Vertical motion is also known as motion under gravity. The gravity acts on the vertical component of the velocity of the object.
Given that a bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s², the gravity will act on the bullet vertically.
The height h = 0.58 mThe initial velocity u = 0Using the formula h = ut + 1/2gt² we can know how long (t) was the bullet in the air.
Substitute all the parameters into the formula
0.58 = 0 + 1/2 × 9.8 × t²
0.58 = 4.9t²
t² = 0.58/4.9
t² = 0.1184
t = √0.1184
t = 0.34 s
Therefore, the bullet will spend 0.34 s in air.
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wei is standing in wavy water and notices the depth of the waves varies in a periodic way that can be modeled by a trigonometric function. he starts a stopwatch to time the waves.
The function of wavy water is D(t) = 33.5 +21.5cos(2π/3·(t -1.1))
What are wave functions?In quantum physics, a wave function is a mathematical representation of the quantum state of a standalone quantum system. The probabilities for potential outcomes of measurements performed on the system may be calculated from the wave function, which is a complex-valued probability amplitude.
The function can be ...
D(t) = A +Bcos(C(t-p))
where A is the average depth (55+12)/2 = 33.5 cm,
B is the peak deviation from average, 55 -33.5 = 21.5 cm,
C is the horizontal scale factor (2π/T) = (2π/3) for a period (T) of 3 seconds,
and p is the phase offset, given as 1.1 seconds.
the function -
D(t) = 33.5 +21.5cos(2π/3·(t -1.1))
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Assuming constant velocities if a fastball pitch is thrown at 40m/s toward home plate 18m away and the head of the bat is simultaneously traveling toward the ball at 18.0m/s how much time elapses before the bat hits the ball
The time elapse before the bat hits the ball is 0.3 s
Given:
Speed of ball = 40m/s
Speed of bat = 18m/s
Now, let's take the sum of the speed of ball and bat relative to each other.
v = 40 + 18.0 = 58.0 m/s
To calculate the time lapse, use the formula given below.
t = d/v
Here d = 18 m i.e. the initial distance between the ball and the bat
v = 58.0 m/s
After substituting the values we'll get
t = 18/58 = 0.31 s
t = 0.3 s
Hence the time that elapses before the bat hits the ball is 0.3 s.
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infrared radiation has wavelengths ranging from about 800 nm to 1 mm. what is the frequency of radiation of wavelength 960 nm? answer in units of s−1 .
The frequency of radiation of the given wavelength is 3.125×[tex]10^{14}[/tex] Hz.
What is wavelength ?
Given λ = 960nm
f=c/λ
f= 3×[tex]10^{8}[/tex]/960×[tex]10^{-9}[/tex]
f= 3.125×[tex]10^{14}[/tex]
A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm).
The wavelength is the separation between two wave crests, while troughs have the same wavelength. The number of vibrations that pass over a specific place in a second is known as the frequency and is expressed in cycles per second (Hz) (Hertz).
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Two gases are contained in gas bulbs connected by a valve. Gas a is present in a 1 liter bulb at a pressure of 818 torr. Gas b exerts a pressure of 328 torr in a 1 liter bulb. The valve is opened and the two gases come to equilibrium. What is the partial pressure of gas a expressed after equilibrium?.
The partial pressure of gas expressed after equilibrium is 409 torr.
Which gas is used for bulbs?Incandescent light bulbs are usually filled with argon, which is a common gas. It prolongs bulb life by keeping the tungsten filaments from decaying too quickly. Lighting also makes use of other gases like helium, neon, nitrogen, and krypton.Incandescent lights are what gas lamps are. They generate heat by burning fuel like propane, white gas, or kerosene, and the heat drives light production from the mantles. The mantles, which are made of a ceramic mesh, contain the lantern's flame.The first kind of gas employed, argon, is a gas that is typically found in incandescent light bulbs. Nitrogen may occasionally be added to argon gas. Halogen or xenon gas can be found in some light bulbs. Some light bulbs also include krypton gas.What is the partial pressure of gas expressed after equilibrium:
1. Write out the units given.
V1= 1 L
Ptot= 818 torr
PPB= 328 torr
V2= 1L
2. Remember= PaVa= PtotVtot
3. Add together volumes for total volumes.
1 L + 1 L= 2 liters
4. Plug in values and solve for PP of gas A.
PPA= Ptot x VA/Vtot
818 torr x 1/2 L= 409 torr
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.
If you want to determine the amount of water in a swimming pool what are you calculating?
A. Area
B. Volume
C. Distance
Length times width gives the surface area of the pool. Multiplying that by the average depth gives the volume in cubic feet. Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool (expressed in gallons).
Answer:
the answer is volume
Explanation:
An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 170 m/s .
The distance traveled is mathematically given as
D = 766.7 m
What is the distance traveled?The airplane's horizontal velocity was measured to be 170 meters per second.
100 meters is the equivalent of the distance above the earth.
Generally, the equation for distance is mathematically given as
s = u_0t + (1/2) g t2
then, we get
(100 m) = (0.5) (9.8 m/s2) t2
[tex]t = \sqrt{(100 m*4.9 m/s2)}[/tex]
t = √20.4 s2
t = 4.51 sec
we know that,
D = vx t
D= (170 m/s) (4.51 s)
D = 766.7 m
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A boat takes 4.0h to travel 26 km down a river, then 5.0h to return. how fast is the river flowing
The speed of the river is 0.5 Km/hr
How do find the speed of the river?Let X be the speed of the boat.
Let Y be the speed of the river.
Downstream speed
X - Y = 4
Upstream speed
X + Y = 5
By solving, we get
2X = 9
X = 4.5 Km/hr
Y = 0.5Km/hr
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The force between two masses m and m is 8.0 n when they are a certain distance r apart. what will the force between these two masses be if the distance between them is increased by a factor of four?
The force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N
We know that,
F = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]r^{2}[/tex]
where,
F = Force
G = Constant
[tex]m_{1}[/tex], [tex]m_{2}[/tex] = Masses
r = Distance between those two forces
Given that,
F = 8 N
When the distance between those two masses is increased by a factor of four,
[tex]F^{'}[/tex] = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]( 4r)^{2}[/tex]
[tex]F^{'}[/tex] = F / 16
[tex]F^{'}[/tex] = 8 / 16 = 1 / 2
[tex]F^{'}[/tex] = 0.5 N
Force is a phenomenon which can cause an objects motion to change. It causes an object with mass to change its velocity.
Therefore, the force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N
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Question 2 (1 point)
An object starts at rest and accelerates to a velocity of 8 m/s in
a period of 4 s. What is the acceleration of the object?
m/s²
Answer:
2m/s²
Explanation:
acceleration it the change in velocity over the time taken
What advantages does a large diameter astronomical telescope have over a telescope of a smaller diameter?.
Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.
The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.
A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.
Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.
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What is the object’s position at t=2 s? And does the car change direction? If so at what speed?
The direction of the car will not change and the speed of the car at time of 2 seconds will be 4 m/s.
What is speed?
The size of the change in an object's position over time or the size of the change in that object's position per unit of time makes the speed of an object, also known as v in kinematics, a scalar number. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero.
According to the question,
Initial Speed, u is 12 m/s,
Time, t at 2 seconds and,
acceleration is -4 m/s².
Now by using Equation of motion :
v=u+at
v=12+(- 4 m/s²)(2 sec)
V=12-8
V= 4 m/s.
Hence, the speed of the car will be 4 m/s at time 2 seconds and the direction of the car will not change.
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A woman is pulling a trolley with a 27 N force along the 3.0 m aisle, how much work is done in pulling the cart from one end of the aisle to the other?
Answer:
Work done = 81 Nm
Explanation:
To calculate the work done by a force, we can use the following formula:
[tex]\boxed{\mathrm{Work \: done = \: Force \times Distance \: moved \: in \ direction \: of \: force}}[/tex].
In this question, we are told that the woman applies a force of 27 N to pull a trolley 3.0 m along an aisle. Using this information, as well as the formula above, we can calculate the work done:
Work done = 27 N × 3.0 m
= 81 Nm
Therefore, 81 Nm (or 81 Joules) of work was done pulling the cart from one end of the aisle to the other.
An appliance is rated at 4500 volt-ampere, 240 volts, single-phase. what is the maximum size fuse permitted?
the maximum size of fuse permitted in a single phase is 18.75 ampere.
POWER = amount of energy transferred per unit time.
Power = voltage x current
power = 4500 volt-ampere
voltage = 240 volt
current = power/voltage
= 4500/240
= 18.74 ampere
the maximum size of fuse permitted in a single phase is 18.75 ampere.
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A runner is jogging in a straight line at a steady [tex]v_{r}[/tex]= 4.5 km/hr. When the runner is L= 8.1 km from the finish line, a bird begins flying straight from the runner to the finish line at [tex]v_{b}[/tex]= 13.5 km/hr (3 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.
What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a “zero” length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km.
After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line.
How far does the bird travel from the beginning (including the distance traveled to the first encounter)? Answer in units of km.
Answer: 1325t miles
Explanation: you have to divide all of them
How long would it take a fly to cover a 60 meter space while traveling at a speed of 5.4 m/s?
It would take a fly 11.11 seconds to cover the given distance of 60 meters.
Velocity is a term that describes the speed and direction of a point's motion. The speed at which the point is moving along its path in time is known as the magnitude of the velocity.
Velocity is a vector quantity that cannot be fully described by a number because it has direction in addition to magnitude.
Changes in an object's position are referred to as displacement. Displacement is represented by a vector. This implies that it has both a direction and a magnitude.
Given in the question
Velocity = 5.4 m/s
Distance = 60 meters
Time = Distance/Velocity
Put in the values, we get
Time = 60/5.4 seconds
Time = 11.11 seconds
Therefore, it would take 11.11 seconds for a fly to cover a 60-meter space while traveling at a speed of 5.4 m/s.
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6. a stuntman is launched vertically into the air from a cannon and eventually falls back to the ground, landing in the cannon exactly where he started. he reached a maximum height of 22 meters in 3.4 seconds and fell back to the ground in 7.6 seconds. the average velocity of the stuntman is 0 m/s, and the average speed of the stuntman is.
Answer:
w
Explanation:
Sokol
J. J. Thomson used a cathode-ray tube to calculate the charge-to-mass ratio of the electron. Which of these suggested the presence of a negative particle?.
J. J. Thomson used a cathode-ray tube to calculate the charge-to-mass ratio of the electron. The deflection of cathode rays towards the positively charged surface and emission of green light at the far end of the tube confirmed that they are negatively charged particles.
In 1897, J.J Thomson performed a cathode ray tube experiment to determine the charge-to-mass ratio of electrons.
Due to high voltage, a beam of particles was allowed to flow from the negatively charged end to the positively charged end of the tube.
One end of the tube was painted with phosphorous. When electrons struck the wall a green spark was observed which confirmed the presence of negatively charged particles i.e. electrons.
To put it simply, cathode rays came from the cathode tube and deflected towards a positively charged plate showing that they are negatively charged particles.
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bathyscaphes are capable of submerging to great depths in the ocean. what is the pressure at a depth of 5 km, assuming that seawater has a constant specific gravity of sg
Water depth Bathyscaphes can submerge at a depth of h=5 km=5000 m.
the seawater's particular weight,
γ=10.1kN/m3
Through the equation, the density of the seawater and its specific weight are connected.
γ=ρg→(I)
where rho is the seawater's density and g is the acceleration brought on by gravity.
Given is the pressure at a depth of h meters. ,
P=ρgh→(II)
When equation I is substituted, equation (ii),
P=γh
About substituting
P=10.1×103×5000=50.5×106Pa=50.5MPa
1 Pascal =1.45×10−4psI
50.5 MPa corresponds to
50.5MPa=50.5×106×1.45×10−4psI=7322.5psI
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Use Ohm's Law to calculate the following:
a) The voltage required to produce a current of 2A in a 12ohms resistor.
b) The voltage required to produce a current of 0.1A in a 200ohms resistor.
c) The current produced when a voltage of 12V is applied to a 10ohms resistor.
d) The current produced when a voltage of 230V is applied to a 10ohms resistor.
Ohm's Law is a formula used to determine how voltage, current, and resistance in an electrical circuit relate to one another.
Use Ohm's Law to calculate the following:
a) The voltage required to produce a current of 2A in a 12ohms resistor.
To scientists, Einstein's Relativity equation (E = mc2) is as fundamental as Ohm's Law (E = IR).
E = I x R
The difference in electric potential between two points, which is defined as the work required per unit of charge to move a test charge between the two points, is known as voltage, electric potential difference, electric pressure, or electric tension.
The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.
Therefore, Voltage required = 2 * 12 = 24 volts
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The gusset plate is subjected to the forces of three members. determine the tension force in member c and its angle, , for equilibrium. the forces are concurrent at point o. take f = 8 kn.
The tension force would be 7.62N. Its angle of equilibrium would be 70.23°
CalculationFor equilibrium,
for direction X,
Tcos([tex]\theta[/tex]-36.87°) = 8cos (36.87°) → 1
For direction Y,
9 = 8sin36.87° + Tsin([tex]\theta\\[/tex]-36.87°)
Tsin([tex]\theta\\[/tex]-36.87°) = 9- 8sin(36.87°) → 2
Now dividing equation 2 by 1,
tan([tex]\theta\\[/tex]-36.87°) = [tex]\frac{9-8*3/5}{8*4/5}[/tex]
tan([tex]\theta\\[/tex]-36.87°) = 0.66
[tex]\theta\\[/tex] - 36.87°= [tex]tan^{-1}[/tex](0.66)
[tex]\theta\\[/tex] - 36.87° = 33.42°
⇒ [tex]\theta[/tex] = 40.29°
Now from equation 1,
Tcos(33.42°) = 8cos(36.87°)
T = [tex]\frac{8*4/5}{0.84}[/tex]
T = 7.62N
Thus, we get the tension force as 7.62N
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a scuba diver makes a slow descent into the depths of the ocean. his vertical position with respect to a boat on the surface changes several times. he makes the first stop 8.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 10.0 m to the second stop. from there, he ascends 7.0 m and then descends for 14.0 m, ascends again for 6.0 m and descends again for 12.0 m, where he makes a stop, waiting for his buddy. assuming the positive direction up to the surface ( ĵ), express his net vertical displacement vector (in m) in terms of the unit vector ĵ. (express your answer in vector form.)
Net vertical displacement vector (in m) in terms of the unit vector is D=−49 j
D=49
What is displacement vector?
A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a point P's initial and final positions.
Therefore,
a scuba diver makes a slow descent into the depths of the ocean. his vertical position with respect to a boat on the surface changes several times. he makes the first stop 8.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 10.0 m to the second stop. from there, he ascends 7.0 m and then descends for 14.0 m, ascends again for 6.0 m and descends again for 12.0 m, where he makes a stop, waiting for his buddy. assuming the positive direction up to the surface ( ĵ), express his net vertical displacement vector (in m) in terms of the unit vector ĵ. (express your answer in vector form.)
D=−49 j
D=49
To learn more about displacement vector from the givne link:
https://brainly.com/question/12006588
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