Answer:
1.0625×10¹⁹ electrons
Explanation:
From the question,
Using,
Q = It........................ Equation 1
Where Q = charge, I = current flowing in the wire, t = time (seconds)
Given: I = 1.70 A, t = 1 Seconds.
Substitute these values into equation 1
Q = 1.7(1)
Q = 1.7 C.
But,
1.6×10⁻¹⁹ C = 1 electron
Therefore,
1.7 C = 1.7/(1.6×10⁻¹⁹) electrons
= 1.0625×10¹⁹ electrons
Hence, 1.0625×10¹⁹ electrons flows through the wire per seconds.
Aisha used a compass to walk 59° south of west for 3.50 miles, then stopped for lunch. Assume that the point from which she started her hike corresponds to the origin of the coordinate system.
(a) Find the polar coordinates corresponding to the place where Aisha stopped for lunch. (Enter your answer for r in miles and counterclockwise from the +x-axis. Round your answers to at least th ree significant figures. as the smallest positive angle in degrees r =26
The radial polar coordinate does not coincide with x. mi =
(b) Find the Cartesian coordinates (in miles) for the same point.
x = 2.6
Use the relations between polar and Cartesian coordinates to find the coordinate x. mi
y = 4.24
Use the relations between polar and Cartesian coordinates to find the coordinate y. mi
Answer:
Explanation:
a )
59° south of west means (180 + 59 )° counterclockwise from the +x-axis.
so angle θ = 239 ° .
r = 3.5 miles .
polar coordinates ( r , θ )
= ( 3.50 , 239° )
As the smallest positive angle in degree is 26 then 26 x 9 = 234
so rounding off 239 to 234 , the angle will be 234
polar coordinates ( 3.50 , 234 )
b )
Cartesian coordinates (in miles) for the same point
x coordinate = r cosθ = 3.5 cos 234 = - 2.06 mi
y coordinate = r sinθ = 3.5 sin 234 = - 2.83 mi
In a liquid with a density of 1400 kg/m3, longitudinal waves with a frequency of 390 Hz are found to have a wavelength of 7.60 m. Calculate the bulk modulus of the liquid. Express your answer in pascals.
Answer:
The bulk modulus of the liquid is 1.229 x 10¹⁰ Pa
Explanation:
Given;
density of liquid, ρ = 1400 kg/m³
frequency of the wave, f = 390 Hz
wavelength, λ = 7.60 m
The speed of the sound is given by;
v = fλ
v = 390 x 7.6
v = 2964 m/s
The bulk modulus of the liquid is given by;
[tex]v = \sqrt{\frac{B}{\rho}}\\\\v^2 = \frac{B}{\rho}\\\\B = \rho v^2[/tex]
where;
B is bulk modulus
B = (1400)(2964)²
B = 1.229 x 10¹⁰ N/m²
B = 1.229 x 10¹⁰ Pa
Therefore, the bulk modulus of the liquid is 1.229 x 10¹⁰ Pa
Here are the positions at three different times for a bee in flight (a bee's top speed is about 7 m/s). Time 6.6 s 6.9 s 7.2 s Position 1.8, 5.0, 0 m 0.5, 6.9, 0 m −0.4, 9.5, 0 m (a) Between 6.6 s and 6.9 s, what was the bee's average velocity? Be careful with signs. vavg, a = 7.6739 (b) Between 6.6 s and 7.2 s, what was the bee's average velocity? Be careful with signs. vavg, b = 4.58557 (c) Of the two average velocities you calculated, which is the best estimate of the bee's instantaneous velocity at time 6.6 s? (d) Using the best information available, what was the displacement of the bee during the time interval from 6.6 s to 6.65 s? Δr = m
Answer:
(A.) (- 4.33, 6.33 , 0); (B.) (- 3.66, 7.5, 0); (C.) average at (A) (- 4.33, 6.33 , 0) ; (D.) (- 0.2165, 0.3165, 0)
Explanation:
Given the following :
Time - - - - - - - 6.6s - - - - - - - - - 6.9s - - - - - 7.2s
Position - (1.8,5.0,0) - (0.5,6.9,0) - - (−0.4,9.5,0)
(a) Between 6.6 s and 6.9 s, what was the bee's average velocity?
Vavg = Distance / time
[(0.5,6.9,0) - (1.8,5.0,0)] / 6.9 - 6.6
Vavg = [(0.5 - 1.8), (6.9 - 5.0), (0 - 0)] / 0.3
Vavg = - 1.3 / 0.3, 1.9/0.3, 0/3
Vavg = (- 4.33, 6.33 , 0)
b) Between 6.6 s and 7.2 s, what was the bee's average velocity?
Vavg = [(−0.4,9.5,0) - (1.8,5.0,0)] / 7.2 - 6.6
Vavg = - 2. 2/0.6, 4.5/0.6, 0/0.6
Vavg = (- 3.66, 7.5, 0)
c.) Of the two averages (- 4.3, 6.3 , 0) is closer to the instantaneous Velocity at 6.6s
D.) (d) Using the best information available, what was the displacement of the bee during the time interval from 6.6 s to 6.65 s?
Displacement = Velocity * time
Vavg between 6.6 to 6.9 ; time = (6.65 - 6.6) = 0.05 s
= (- 4.33, 6.33 , 0) * 0.05
= (- 0.2165, 0.3165, 0)
34. JAnswer this: Pure (24 carat) gold has a density of 19 g/mL. If you bought"gold" ring and found it had a volume of 0.3 ml and that it weighed 5.7 grams, is it pure gold? Show your work to support your answer.
Explanation:
Density = mass / volume
ρ = 5.7 g / 0.3 mL
ρ = 19 g/mL
Yes, it's pure gold.
Yes, it's pure gold.
How do you calculate gold density?The mass of an object divided by its volume is the formula for determining density. This is expressed mathematically as d = m/v, where d denotes density, m denotes mass, and v denotes object volume. The common measurements are kg/m³.What is the formula of volume?The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape.What is the volume of pure gold?Gold has a specific gravity of 19.3. In light of this, 19.3 grams take up 1 cubic centimeter. 31.1 grams make up a Troy ounce. As a result, we need 31.1/19.3 = 1.61 cubic centimeters to equal 1 Troy Oz.According to the question:
Density = mass / volume.
ρ = 5.7 g / 0.3 mL.
ρ = 19 g/mL.
Hence, Yes it's pure gold.
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A train which is traveling at 73mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 56mi/hr as it passes a point 1/2mi beyond A. A car moving at 45mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 3.9sec and find the velocity v of the car as it reaches the crossing.
Answer:
First to find deceleration of the train we use
v²= u²+ 2as
56²= 73²+ 2(0.5)a
a= -2193mi/hr²
Then we find time in which the train does the intersection
Using
S= ut+ 1/2 at²
1= 73t-1/2(1293)t²
t =68.5s
But since the train is to intersect in 3.9s the time will be the difference which is
65.68s
So finding acceleration
S= ut + 1/2at²
1.3mi= 45/3600mi/s(65.58s)+ 1/2a(65.5)²
So a= 1.179ft/s²
To find velocity we use
V= u + at
= 45/3600mi/s + (-2.33E-4mis²)(65.58s)
V= 0.0271mi/s
= 97.6ft/s
What is the average force (average with respect to height of the barbell from the ground) exerted by the weightlifter in the process?
This question is incomplete, the complete question is;
A weightlifter holds a 1,300 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 400 N. How much work (in J) is required to lift the barbell to a height of 2 m?
What is the average force (average with respect to height of the barbell from the ground) exerted by the weightlifter in the process?
Answer: Average force exerted by the weightlifter in the process = 1600N
Explanation:
To find Work done to lift a barbell and half of the hanging chain we say;
W₁ = ( 1300N + (1/2 × 400N)) × 1m
W₁ = (1300 + 200) Nm
W₁ = 1500J
now work done to lift the upper half of the chain we say:
W₂ = (1/2 × 400N) × (1/2 × 1m)
W₂ = 200N × 0.5m
W₂ = 100J
So total work done will be
W = W₁ + W₂
W = 1500J + 100J
W = 1600J
To find the average force exerted by the weight lifter, we say;
F = W/D
F = (1600 / 1m) N
F = 1600N
∴Average force = 1600N
Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 160 m ahead traveling at 5.20 m/s. Sue applies her brakes but can accelerate only at −1.90 m/s2 because the road is wet. Will there be a collision?
Answer:
Hence, there will be a collision
Explanation:
First we calculate total distance covered by the speedy sue's car before coming to rest:
2as = Vf² - Vi²
where,
a = deceleration = - 1.9 m/s²
s = distance covered = ?
Vf = Final Velocity = 0 m/s (since car finally stops)
Vi = Initial Velocity = 35 m/s
Therefore,
2(-1.9 m/s²)s = (0 m/s)² - (35 m/s)²
s = 322.37 m
Now, we calculate time taken by car to stop:
Vf = Vi + at
0 m/s = 35 m/s + (-1.9 m/s²)t
t = 18.42 s
Now, we calculate distance traveled by van in this time:
s₁ = V₁t
where,
s₁ = distance traveled by van = ?
V₁ = speed of van = 5.2 m/s
Therefore,
s₁ = (5.2 m/s)(18.42 s)
s₁ = 95.78 m
Now, for collision to occur, the following relation must be satisfied:
s ≥ 160 m + s₁
using values:
322.37 m > 160 m + 95.78 m
322.37 m > 255.78 m
Hence, there will be a collision
You don't learn any movement concepts until high school. A. True B. False
Answer:
B
Explanation:
Answer:
false
Explanation:
Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle at 16.2 m/s.
Answer:
The maximum height to which water could be squirted with the hose is 13.380 meters.
Explanation:
A line of current of a fluid can be explained sufficiently by Bernoulli's Theorem. In this case, the system can be simplified due to neglectance of changes in absolute pressure. Water is squirted with an initial speed and reaches its maximum height, where final speed is zero. That is to say:
[tex]\frac{v_{1}^{2}}{2\cdot g} +z_{1} = \frac{v_{2}^{2}}{2\cdot g} +z_{2}[/tex]
Where:
[tex]z_{1}[/tex], [tex]z_{2}[/tex] - Initial and final height of water, measured in meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of water, measured in meters per second.
If [tex]z_{1} = 0\,m[/tex], [tex]v_{1} = 16.2\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:
[tex]z_{2} = \frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g} +z_{1}[/tex]
[tex]z_{2} = \frac{\left(16.2\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)} +0\,m[/tex]
[tex]z_{2} = 13.380\,m[/tex]
The maximum height to which water could be squirted with the hose is 13.380 meters.
Understanding how behavior has changed over time to help humans adapt to their environment is known as the __________ approach to psychology.
biological
evolutionary
sociocultural
behavioral
The behavioral approach's main objective is to describe how leaders mix those same two types of actions to influence followers throughout their attempts to achieve those goals.Behaviorism seems to be a teaching strategy, whereas theoretical approaches are concerned with how humans are conditioned just to respond to events as well as stimuli. Several ideas describe how conduct is influenced by experience.
Thus the response above is correct.
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When a circuit is arranged in parallel:________
a) There is only one path the electrons can take through the circuit, and they must pass through all circuit components
b) There are multiple paths the electrons can take through the circuit, and it is possible for the electron to pass through one circuit component but not another.
Answer:
Answer:
B .There are multiple paths the electrons can take through the circuit, and it is possible for the electron to pass through one circuit component but not another.
Explanation:
Because in a parallel circuit, all components are connected across each other, forming exactly two sets of electrically common points.
When you attempt to swim, you brush your hands in a wide motion to push the water around you back behind you. This in turn, causes the water around you to push your forward. Which of Newton's Laws would explain this action? a. Newton's First Law b. Newton's Second Law c. Newton's Third Law d. None of Newton's Laws
Answer:
C. Newton's 3rd law
Explanation:
Swimmers must stroke downward in the water to stay afloat and propel forward. This movement is equal and opposite to the force the water exerts against the swimmer to stop them from moving.
Answer:
c. Newton's Third Law
Explanation:
I got it correct on the test
Why was miasma theory replaced?
light of wavelength 587.5 nm illuminates a slit of width 0.75 mm. at what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.85 mm from the central maximum?
1.085m
Explanation:
Using
a= lambda/sinစ
Sinစ= (587.5*10^-9) x 0.75*10^-3
= 0.000783
Sinစ=0.875*10^-3/d
0.000783= 0.875/d
d= 1.085m
URGENT!!! Which option(s) correctly define an electric circuit? (Select all that apply) a set-up where current flows without a voltage difference an open path of conductors a set-up where current flows due to a voltage difference a closed path of conductors
Answer:
a set up where current flows without a voltage difference
Explanation:
because a circuit is a set up of different components, and throughout the circuit the voltage is the same, even with more components
Answer:
a set-up where current flows due to a voltage difference
a closed path of conductors
Explanation:
Why is the forward biased voltage for a typical red LED so much greater than the forward biased voltage for a typical silicon diode?
Answer:
This is because as we know the magnitude of a forward voltage drop depends on the material used for constructing the diode and also the magnitude of the band gap, so since LED material are generally gallium arsenide and gallium phosphide which has the higher band gap than silicon and since the higher the band gap the higher the voltage drop so LED has the greater forward voltage drop then the silicon diode
A bat emits a sound at a frequency of 30.0 kHz as it approaches a wall. The bat detects a beat frequency of 700 Hz. The speed of the bat is closest to
Answer:
3.948m/s
Explanation:
To solve this we need to apply Doppler effect theory
So
To find the frequency received by insect will be gotten when the Source and observer both are moving in same direction which is given by
f1 = f0 x (V - Vo)/(V - Vs)
f0 = 30.0 kHz
V = 344 m/s
Vs will now be the speed of the bat and
Vo will be the speed of the object which is = 0 m/s
So substituting we have
f1 = 30 x 10^3 x (344- 0)/(344- Vs)
Next to find the frequency reflected by wall we use
f2 = f1 x (V + Vs)/(V + Vo)
So substituting the value of f1 calculated above we have
f2 = 30 x 10^3 x (344 + Vs) x (344 - 0)/[(344 - Vs) x (344 + 0)]
f2 = 30 x 10^3 x (344 + Vs)/(344- Vs)
But the beat frequency detected by bat is 700 Hz,
So we say
f2 - f0 = 700 Hz
30 x 10^3 x (344+ Vs)/(344 - Vs) - 30x 10^3 = 700
(344 + Vs)/(344 - Vs) = 1 + 700/30000 = 1.023
344 + Vs = 344 x 1.023 - Vs x 1.0233
Vs = 344 x ( 1.023 - 1)/(1 + 1.023)
So finally
Vs = Speed of source that is the bat is = 3.949m/s
What do we measure sound intensity in?
Answer:
we measure sound intensity in Decibels.
Answer:
DecibelsExplanation:
We measure sound power or sound pressure in decibels.
They were named in honour of Alexander Graham Bell,( the inventor of both the telephone and the audiometer).
What is (Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q3
This question is incomplete, the complete question is;
Coulomb's law for the magnitude of the force F between two particles with charges Q and Q' separated by a distance d is
|FI = |QQ'I / d²
where K = 1/4π∈0, and
∈0 = 8.854 × 10⁻¹² C²/(N.m²) is the permittivity of free space.
Consider two point charges located on the x-axis:
one charge, q₁ = -18.5 nC, is located at
x₁ = -1.715m; the charge q₂ = 30.5 nC, is at the origin ( x₂=0 )
What is (Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q₃ = 51.0 nC placed between q₁ and q₂ at x₃ = -1.085 m ?
Answer: (Fnet3)x = -3.3287 × 10⁻⁵ N
Explanation:
Given that;
Q₁ = -18.5 nC Q₃ = 51 nC Q₂ = 30.5 nC
x₁ = - 1.715m x₃ = - 1.085m x₂ = 0
Now
x - component of Net force on charge Q₃ is
(Fnet3)x = -K|Q₁I|Q₃I / r₁3² - -K|Q₂I|Q₃I / r₂3²
(Fnet3)x = -(9×10⁹)(51×10⁻⁹) [ 18.5 / ((-1.085 + 1.715)²) + (30.5 / (-1.085)² ] × 10⁻⁹
(Fnet3)x = -3.3287 × 10⁻⁵ N
Explain in your own words the interaction between the electric and magnetic fields that make up a light wave.
Answer:
They oscillates perpendicularly to one another, the oscillation of one field generates the other field.
Explanation:
In a light wave, an oscillating electric field of a light wave produces a magnetic field, and the magnetic field also oscillates to produce an electric field. The magnetic field and the electric field of a light wave both oscillates perpendicularly to one another. The resultant energy and direction of the wave generated as a result of these oscillating fields is propagated perpendicularly to both fields.
when a marble rolls down a slope which forces acts on it
Answer:
What forces act on a marble rolling down a ramp?
Answer: Gravity acts vertically downward. A normal force acts from the ruler toward the marble/ball in a direction that is perpendicular to the plane of the ruler. Friction acts in the direction opposite to which the marble/ball is moving. ... Friction slows down the marble/ball.
A laser with a power of 1.0 mW has a beam radius of 1.0 mm. What is the peak value of the electric field in that beam
Answer:
The peak value of the electric field is 489.64 V/m
Explanation:
Given;
power of the laser, P = 1.0 mW = 1 x 10⁻³ W
Radius of the beam, R = 1.0 mm = 1 x 10⁻³ m
Area of the beam = πr² = π(1 x 10⁻³ )² = 3.142 x 10⁻⁶ m²
The average intensity of the light = P / A
The average intensity of the light = ( 1 x 10⁻³) / (3.142 x 10⁻⁶)
The average intensity of the light = 318.27 W/m²
The peak value of the electric field is given by;
[tex]E_o = \sqrt{\frac{2I_{avg}}{c\epsilon_o}}\\\\E_o = \sqrt{\frac{2(318.27)}{(3*10^8)(8.85*10^{-12})}}\\\\E_o = 489.64 \ V/m[/tex]
Therefore, the peak value of the electric field is 489.64 V/m.
A rough value of deceleration of a skidding automobile is about 7.0m\s^2.using this how long does it take for a car going at 30m\s to stop after the skid starts.How far dose the car go in this time??
Explanation:
Given:
v₀ = 30 m/s
v = 0 m/s
a = -7.0 m/s²
Find: t and Δx
v = at + v₀
0 m/s = (-7.0 m/s²) t + 30 m/s
t = 4.3 seconds
v² = v₀² + 2aΔx
(0 m/s)² = (30 m/s)² + 2 (-7.0 m/s²) Δx
Δx = 64 meters
The flight path of a jet aircraft as it takes off is defined by the parmetric equations x=1.25 t2 and y=0.03 t3, where t is the time after take-off, measured in seconds, and x and y are given in meters. If the plane starts to level off at t = 40 s, determine at this instant:a. The horizontal distance it is from the airport b. Its altitudec. Its speed.
Answer:
A. We are given t= 40s, x=1.25t²
So The horizontal distance it is from the airport will be = 1.25(40)²= 2000meters
B. y= 0.03t³
So y= 0.03(40)³= 1920m altitude
C. To find speed
We say
dx/dt=Vx= 2.5t= 100
dy/dy = 0.09t= 144
So speed= √100²+144²= 175.31m/s
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 193 m/s and a frequency of 235 Hz . The amplitude of the standing wave at an antinode is 0.380 cm.
A) Calculate the amplitude at a point on the string a distance of 18.0 cm from the left-hand end of the string.
B) How much time does it take the string to go from its largest upward displacement to its largest downward displacement at this point?
C) Calculate the maximum transverse velocity of the string at this point.
D) Calculate the maximum transverse acceleration of the string at this point.
Answer:
A. We know that amplitude at x is
Asin (kx)
But k= 2πf/v
k= 2*3.132*235/193= 7.65
So A = 0.35*sin( 7.65x 0.18)= 0.00841m
C
Vmax = Amplitude x angular velocity
= 0.0084 x 2πf
= 0.0084* 2*3.142* 235= 12.4m/s
D. Maximum acceleration = omega² x Amplitude
= (2πf)²* 0.00841= 183.40m/s²
After crossing the finish line, a race car slows down from 47 m/s to 32m/s in 3seconds. What is the car’s acceleration?
Answer: -5 m/s^2
Explanation: a = v - u/t
= 32 - 47/3
= -15/3
= -5 m/s^2
g The velocity (V) of a particle is given by 5t2 meters, where t is in s. Find the acceleration of the particle at t=3s.
Answer:
Acceleration, [tex]a=45\ m/s^2[/tex]
Explanation:
The velocity of a particle is given by :
[tex]V=5t^2[/tex]
t is time in seconds
The acceleration in terms of velocity is given by :
[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(5t^2)}{dt}\\\\a=5\times \dfrac{t^3}{3}[/tex]
We need to find the acceleration of the particle at t = 3 s. Put t = 3 s in the expression of a.
So,
[tex]a=\dfrac{5\times 3^3}{3}\\\\a=45\ m/s^2[/tex]
So, the acceleration of the particle at t = 3 s is [tex]45\ m/s^2[/tex].
What is the force on an object due to its mass and gravity called?
Answer:
The Gravitational force.
Part B
Do the atoms in salt follow a pattern?
Answer: Yes.
Explanation: Because of the crystalline structure.
g A ball is thrown against the wall and bounces back with the same velocity. What type of collision is this
Answer:
Perfectly elastic collision
Explanation:
In a closed system, an elastic collision is a type of collision between two bodies, where the total momentum and kinetic energy are conserved.
We are told from the problem that the ball bounces back with its original velocity. For the ball to bounce back to the thrower in the first place, this is our first hint that the collision is elastic. If the collision was inelastic, the ball would most likely have stuck to the wall.
In addition to that, the velocity of the ball remains fairly unchanged even after the collision. This confirms that the kinetic energy it had before the collision is the same as the kinetic energy it has after the collision.
As a result of this, the collision is perfectly elastic