A. The potential energy of ball is 61.74 J
B. The kinetic energy of the ball is 708.75 J
A. Determination of the potential energy of the ball.
We'll begin by converting the mass of the ball (i.e 6300 g) to kilograms (kg). This can be obtained as follow:
1000 g = 1 Kg
Therefore,
6300 g = 6300 / 1000
6300 g = 6.3 KgThus, 6300 g is equivalent to 6.3 Kg.
Finally, we shall determine the potential energy of the ball.
Mass (m) = 6.3 Kg
Height (h) = 0.98 m
Acceleration due to gravity (g) = 10 m/s²
Potential energy (PE) =? PE = mghPE = 6.3 × 10 × 0.98
PE = 61.74 JTherefore the potential energy of the ball is 61.74 J
B. Determination of the kinetic energy of the ball.
Mass (m) = 6.3 Kg
Velocity (v) = 15 m/s
Kinetic energy (KE) =?
KE = ½mv²KE = ½ × 6.3 × 15²
KE = 3.15 × 225
KE = 708.75 JTherefore, the kinetic energy of the ball is 708.75 J
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A ray of light has a wavelength of
284 nm in glass (n = 1.51). What
is its wavelength in a vacuum?
Answer:
The wavelength in vacuum is equal to 428.8 nm.
Explanation:
Given that,
The wavelength of light, \(\lambda=284\ nm\)
The refractive index of glass, n = 1.51
We need to find the wavelength in vacuum. The relation between wavelength and refractive index is given by :
\(n=\dfrac{\lambda_v}{\lambda}\\\\\lambda_v=n\times \lambda\\\\\lambda_v=1.51\times 284\\\\\lambda_v=428.8\ nm\)
So, the wavelength in vacuum is equal to 428.8 nm.
Can someone who knows how to do physics please answer this
Answer:
about 3.17647 hours
Explanation:
The appropriate relation is ...
time = distance/speed
time = (270 km)/(85 km/h) = 3 3/17 h ≈ 3.17647 h
It will take Derek about 3.17647 hours to drive the distance.
1) speed of bob?2)Show calculation for the speed of the bob:(write formula first, then insert value with unit, then find the result with unit)
Speed of bob:
\(\begin{gathered} \omega=2\pi f \\ _{\text{ }}where\colon \\ f=\frac{1}{T} \\ \omega=\frac{2\pi}{T} \end{gathered}\)so:
\(\begin{gathered} \omega=\frac{2\pi}{1.293} \\ \omega=4.83\frac{rad}{s} \end{gathered}\)\(\begin{gathered} v=\omega\cdot r \\ so\colon \\ v=4.83\cdot0.22 \\ v=1.06\frac{m}{s} \end{gathered}\)
Help!!
A horse does 860 J of work in 420 seconds while pulling a wagon. What is the power output of the horse? Round your answer to the nearest whole number.
The power output of the horse is [???] W.
Write 5.34 x 10^3 in standard form.
\(\\ \bull\tt\dashrightarrow 5.34\times 10^3\)
\(\\ \bull\tt\dashrightarrow 534\times 10^{-2}\times 10^3\)
\(\\ \bull\tt\dashrightarrow 534\times 10^{-2+3}\)
\(\\ \bull\tt\dashrightarrow 534\times 10^1\)
\(\\ \bull\tt\dashrightarrow 534\times 10\)
\(\\ \bull\tt\dashrightarrow 5340\)
Each insulated beaker contains equal amounts of the same fluid. The starting temperature of beaker A was 100.0 degrees Celsius and the starting temperature of beaker B was 0 degrees Celsius. At 5 minutes, the temperature of Beaker A was 82 and the temperature of Beaker B was 18. Assuming no heat was lost, what is the best estimate for the temperature of each beaker at 10 minutes?
Answer:
Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.
This one is actually right!
suggest a reason why the earth can be compared to a bar magnet
A vehicle, starting from rest, accelerates on a circular track with a 335m diameter.
The distance travelled by the vehicle around the circular track is 1,052.4 m.
What is the distance travelled by the vehicle in one complete cycle?
The distance travelled by the vehicle in one complete cycle is calculated by using the following equation as show below.
d = 2πr
d = πd
Where;
r is the radius of the circular trackd is the diameter of the circular trackIn one complete cycle, the vehicle will travel the circular track only once.
d = π(335 m)
d = 1,052.4 m
Thus, the distance travelled by the vehicle around the circular track is a function of the diameter of the circular track.
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The complete question is below:
A vehicle, starting from rest, accelerates on a circular track with a 335m diameter. What is the distance travelled by the vehicle when it makes one complete cycle?
Joe went 4.2 km/h south and then went 4.1 kw/h west. From start to finish, joe went 5.9 kw/h southwest. 1. What are the instantaneous velocities? 2.what is the average velocity?
(1) The instantaneous velocities are 4.2 km/h south and 4.1 km/h west
(2) The average velocity of Joe is 5.9 km/h southwest.
What are the instantaneous velocities?
The instantaneous velocities are the velocities of Joe at any given time period and it is calculated as follows;
v (1 ) = 4.2 km/h south
v ( 2 ) = 4.1 km/h west
The average velocity of Joe is calculated from the ratio of the total displacement to total time of motion.
v (avg) = ( total displacement ) / ( total time of motion )
v (avg) = 5.9 km/h southwest
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Define specific vision??
Answer:an inspirational statement of an idealistic emotional future
Explanation:
I don't know if it's right tho
Answer:
The document that state tge currentand future objectives of an organization.
A force of 525 N is applied to a stationary couch of mass 100 kg, where μs = 0.40 and μk = 0.32. What is the acceleration of the couch
Answer:
Approximately \(2.11\; \rm m\cdot s^{-2}\) (assuming that \(g = 9.81\; \rm m\cdot s^{-2}\), the floor is horizontal, and that the external force is applied horizontally.)
Explanation:
The mass of this couch is \(m = 100\; \rm kg\). Calculate the weight of the couch:
\(W = m \cdot g = 100\; \rm kg \times 9.81\; \rm m \cdot s^{-2} = 981\; \rm N\).
Assume that the floor is horizontal. The magnitude of the normal force between the floor and the couch would be equal to the size of the weight of this couch.
Therefore, the normal force between the floor and the couch would be \(N = 981\; \rm N\).
The first step is to find out whether the couch would move at all.
The question has provided two constants of friction: \(\mu_\text{s}\) (coefficient of static friction) and \(\mu_\text{k}\) (coefficient of kinetic friction.)
The coefficient of static friction applies when the couch is stationary relative to the floor: \(f_\text{s} = \mu_\text{s} \cdot N = 0.40\times 981\; \rm N \approx 313.92\; \rm N\). In other words, while the couch isn't moving, the maximum (horizontal) external force that friction could resist would be \(f_\text{s} = 313.92\; \rm N\).
Assume that the external force in this question is horizontal. The size of the external force (\(525\; \rm N\)) exceeds that of \(f_\text{s}\). Hence, the couch would start to move after the \(525\; \rm N\!\) external force is applied.
Once the couch starts to move, the coefficient of static friction would no longer be relevant. Instead, the coefficient of kinetic friction (\(\mu_\text{k}\)) would give size of the friction between the floor and the couch. The size of that friction would be \(f_\text{k} = \mu_\text{k} \cdot N = 0.32\times 981\; \rm N \approx 313.92\; \rm N\).
This friction would counteract the horizontal external force on the couch. Hence, the net force on the couch in the horizontal direction would be:
\(\begin{aligned}& F(\text{external}) - f_\text{k} \\ &\approx 525\; \rm N - 313.92\; \rm N \\ &\approx 211.08\; \rm N \end{aligned}\).
Apply Newton's Second Law of motion to find the acceleration of the couch:
\(\begin{aligned}a &= \frac{(\text{Net Force})}{m} \\ & \approx \frac{211.08\; \rm N}{100\; \rm kg} \approx 2.11\; \rm m \cdot s^{-2}\end{aligned}\).
Two protons (charge q = 1.602·10-19 C) move at the same speed v= 1.6 ·105 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 m in the positive y-direction with respect to the one moving in the positive direction. What is the magnetic field direction at the point of the proton moving in the negative direction? What is the magnetic force direction experienced by the proton moving in the negative direction?
The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to 18.39 × 10⁻¹⁵ T.
The magnetic force direction that is experienced by the proton moving in the negative direction is equal to 4.71 x 10⁻²⁸ N.
What is the magnetic field due to proton?The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;
F = qvB = (kq²)/r²
qvB = kq²/r²
B = kq/vr²
where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.
Given the charge n the proton, q = 1.602 x 10⁻¹⁹C
The speed of the proton, v = 1.6 x 10⁵ m/s
B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)
B = 18.39 × 10⁻¹⁵ T
The magnetic force experienced by the proton in the negative direction is calculated as follows;
F = qvB
F = 1.602 x 10⁻¹⁹ x 1.6 x 10⁵ x 18.39 × 10⁻¹⁵ T
F = 47.1 x 10⁻²⁹ N
F = 4.71 x 10⁻²⁸ N
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A 1.00-cm-high object is placed 3.30 cm to the left of a converging lens of focal length 8.05 cm. A diverging lens of focal length −16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image.
The final image is formed 2.63 cm to the right of the converging lens, with the same height as the object (1.00 cm).
To solve this problem, we can use the thin lens equation and the lens-maker's equation. We will assume that the final image is formed on the same side of the diverging lens as the object.
Using the thin lens equation for the converging lens, we have:
1/f = 1/d_o + 1/d_i
where f is the focal length of the converging lens, d_o is the object distance, and d_i is the image distance.
Substituting the given values, we get:
1/8.05 = 1/3.30 + 1/d_i
Solving for d_i, we get:
d_i = 2.63 cm
This means that the converging lens forms a real image of the object 2.63 cm to the right of it.
Using the lens-maker's equation for the diverging lens, we have:
1/f = (n - 1) * (1/r_1 - 1/r_2)
where f is the focal length of the diverging lens, n is the index of refraction of the lens material (assumed to be air), r_1 is the radius of curvature of the left surface of the lens (negative because it is a diverging lens), and r_2 is the radius of curvature of the right surface of the lens.
Since the diverging lens has only one curved surface, we can set r_1 to infinity (i.e., a flat surface) and simplify the equation to:
1/f = -(n - 1)/r_2
Substituting the given values, we get:
1/-16.00 = -(1 - 1)/r_2
Solving for r_2, we get:
r_2 = -∞
This means that the right surface of the diverging lens is a flat surface, and the lens has no effect on the image formed by the converging lens
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Before the coyote begins to fall, what can you tell about the potential and kinetic energy of the roadrunner vs the coyote?
Select all correct responses.
A. Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
B. The potential energy of the one with the most mass is greater than the other.
C. Weight is the same for both, regardless of mass.
D. The potential energy of both are equal.
Before they begin to fall, the potential energy of the roadrunner and the coyote is the same regardless of their mass. Both the roadrunner and the coyote have zero kinetic energy just before they begin to fall.
What are some illustrations of kinetic and potential energy?The energy an individual or an object has as a result of motion—in this case, the motion of the falling apple—is known as kinetic energy. Potential energy, which exists in a bike that is parked on top of a hill, is converted to kinetic energy when you start riding it downhill.
What is the connection between potential difference and kinetic energy?By virtue of energy conservation, kinetic energy (KE) must be equal to the change in potential energy (qV), or vice versa. The voltage between the plates and the electron's energy are numerically equivalent in electron-volts. A 5000-V potential difference, for instance, results in 5000-eV electrons.
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How much work is done on a 85 Newton box of books that you carry horizontally 4 meters across a room?
a 60 J
b 360 J
c 0 J
d 10 J
e 6 J
The work done on 85 N boxes of books while carried horizontally 4m across a room is equal to zero. Therefore, option (C) is correct.
What is the work?Work can be demonstrated as the energy used when a force is exerted to move an object through a definite displacement. The work done defines both the exerted force on the object and the distance moved by the object.
The applied force moves an object in a straight line in the direction of the exerted force over a displacement 'd'.
W= F × d
Where 'F' is the exerted force and 'd' is the displacement and W is work done.
Given, the weight of the box = 80 N
The displacement , d = 4 m
In order for to work to be done the box should move in the direction of exerted force as the books are moving forward direction and the applied force in an upward direction to carry the box.
Therefore, the distance moved in the direction of force is zero so the work done is also equal to zero.
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3 bulbs are in series and the same 3 bulbs are in parallel with the same battery. Which bulbs will be dimmer?
A. Parallel
B. Not enough info
C. Series
D. The same
The bulbs connected in series will be dimmer.
What is a series connection?When there is a connection in series, it implies that the connection is done in an end to end fashion. When the connection is in parallel the it is made in such a way that the bulbs are joined to a common junctions the same potential difference occurs across then all.
Now we know that in a series connection, the voltage across the different bulbs varies hence there is a potential drop which accounts for the decrease in the brightness of the bulb. On the other hand, the voltage across a parallel connection is the same thus the bulbs do not dim so much.
Hence, if 3 bulbs are in series and the same 3 bulbs are in parallel with the same battery, the bulbs connected in series will be dimmer.
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slader A barometer accidentally contains 6.5 inches of water on top of the mercury column (so there is also water vapor instead of a vacuum at the top of the barometer). On a day when the temperature is 70oF, the mercury column height is 28.35 inches (corrected for thermal expansion). (a) Determine the barometric pressure in psia. If the ambient temperature increased to 85oF and the barometric pressure did not change, (b) would the mercury column be longer, be shorter, or remain the same length
Answer:
Explanation:
vapour pressure at 70⁰F = .36 psi
pressure of 6.5 inch water column
6.5 inch = 6.5 x 2.54 cm =.165 m
pressure = .165 x 10³ x 9.8 = 1617 Pa
= 1617 x .000145 psi
= .23 psi
28.35 inch = 28.35 x 2.54 cm = .72 m
pressure = .72 x 13.6 x 10³ x 9.8
= 95961.6 Pa
= 95961.6 x .000145 psi
= 13.91 psi
a ) Barometric pressure at 70⁰F
= pressure due to mercury column of 28.35 inch + water column of 6.5 inch + vapour pressure at 70⁰F
= 13.91 + .23 + .36 psi
= 14.5 psi
b )
If pressure is measured at 85⁰F
vapour pressure will be increased and pressure of dry gas will also be increased . This pressure will force down the column of mercury . So column of mercury will go down .
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
Answer:
Explanation:
Sure, I'd be happy to help you with the question!
Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.
So, the function can be written as:
Output = (6 * x) - 80
Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:
x = (6 * x) - 80
Let's solve this equation to find the value of x:
x = 6x - 80
Subtracting 6x from both sides, we get:
x - 6x = -80
Combining like terms, we have:
-5x = -80
Dividing both sides by -5, we find:
x = (-80) / (-5)
Simplifying the expression, we have:
x = 16
Therefore, the input (x) that results in the input being the same as the output is 16.
To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.
Answer:
16
Explanation:
(x*6) - 80 = x
Multiply the parentheses
6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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the answer for this pls
The solubility of a substance in a solvent is affected by many factors, including temperature. In general, increasing the temperature of a solvent increases the solubility of a solute in that solvent. This relationship is known as the temperature-solubility relationship.
How to explain the relationshipThere are a few different ways in which temperature can affect solubility, depending on the specific solute and solvent in question. For example:
For most solid solutes in liquid solvents, increasing the temperature of the solvent will increase the solubility of the solute. This is because increasing the temperature generally increases the kinetic energy of the solvent molecules, which in turn makes it easier for them to break apart the intermolecular forces holding the solute together and form new solute-solvent interactions.
In some cases, however, the opposite may be true: the solubility of a solute in a solvent may decrease with increasing temperature. This is often observed for gases dissolved in liquids, where increasing the temperature decreases the solubility of the gas. This is because increasing the temperature of the liquid also increases the kinetic energy of the gas molecules, making them more likely to escape from the liquid and form a gas phase.
In rare cases, the temperature-solubility relationship may be more complex and exhibit unusual behavior. For example, for some solutes, the solubility may initially increase with temperature but then decrease at higher temperatures.
Overall, the relationship between temperature and solubility is an important consideration in many chemical processes, including crystallization, precipitation, and dissolution. Understanding this relationship can help scientists and engineers optimize their processes and achieve their desired outcomes.
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Peers are a part of your mental/emotional network.
True
False
Answer:
True they can influence you and have an effect on your mental and emotional health.
Explanation:
Have you ever played Farckel.
A sprinter accelerates at 8mps, he weights 850 grams. What
force is he exerting?
How much would a 10 kg suitcase weigh on the surface of…?
A trebuchet launches a pumpkin at an angle of 27 degrees at an initial velocity of 32 m/ s from the ground. What is the apogee of the pumpkin?
Answer:
10.77 m
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 32 m/s
Angle of projection (θ) = 27°
Acceleration due to gravity (g) = 9.8 m/s²
Apogee i.e maximum height (H) =?
Thus, the apogee i.e the maximum height of the pumpkin can be obtained as follow:
H = u² Sine² θ /2g
H = 32² × (Sine 27)² / 2 × 9.8
H = 1024 × (0.454)² / 19.6
H = (1024 × 0.206116) / 19.6
H = 10.77 m
Thus, the apogee i.e the maximum height of the pumpkin is 10.77 m.
which statement regarding the idealized model of motion called free fall is true?
a. the effect of air resistance is factored in the equation of motion in the idealized model called free fall.
b. free fall only models motion for objects that do not have an initial velocity in the upward direction.
c. the idealized model of the motion called free fall applies in cases where distance of the fall is large compared with the radius of the astronomical body on which the fall occurs.
d. a freely falling object has a constant acceleration due to gravity.
A train slows from 60m/s to 20m/s in 50s
A:what is it's acceleration
B:write your answer in word
Answer:
a = -4/5 m/s^2
Explanation:
Acceleration = change in velocity / time
change in velocity = final velocity - initial velocity
a = (20 m/s - 60 m/s) / 50 s
a = -40 m/s / 50 s
a = -4/5 m/s^2
hope this helps! <3
Answer:
- 4/5 m/s^2
Explanation:
It is going from 60 to 20 m/s so ACCELERATION is negative
acceleration = change in velocity / time
= -40 m/s / 50 s = - 4/5 m/s^2
Based on the diagram, how is the greenhouse gas effect maintained?
Human activities absorb sunlight to create stable warm temperatures of Earth.
Sunlight absorbed at the surface results in greenhouse gases warming the atmosphere.
Greenhouse gases produced from human activities heat surface temperatures of Earth.
Sunlight is reflected by the surface of Earth, and heat is trapped in the atmosphere by greenhouse gases.
The correct statement is " Sunlight absorbed at the surface results in greenhouse gases warming the atmosphere." The correct option is B.
The greenhouse effect is a natural phenomenon that keeps the Earth's temperature within a range that is suitable for humans and other forms of life. The greenhouse effect is maintained by certain gases in the atmosphere, known as greenhouse gases, which trap the sun's energy and warm the Earth's surface.
Option A, which states that human activities absorb sunlight to create stable warm temperatures on Earth, is not correct. Human activities do not directly absorb sunlight. However, they do release greenhouse gases, which contribute to the greenhouse effect and increase the temperature of the Earth's surface.
Option C, which states that greenhouse gases produced from human activities heat the surface temperatures of Earth, is partially correct. Human activities, such as burning fossil fuels, do release greenhouse gases that contribute to the greenhouse effect. However, this option suggests that the greenhouse gases themselves heat the surface of the Earth, which is not accurate. The greenhouse gases trap heat in the atmosphere, which warms the Earth's surface.
Option D, which states that sunlight is reflected by the surface of the Earth, and heat is trapped in the atmosphere by greenhouse gases, is not entirely accurate. The Earth's surface absorbs the sun's energy, and some of this energy is reflected back into space. The rest is absorbed by the Earth's surface and then re-emitted as heat. The greenhouse gases in the atmosphere trap this heat and prevent it from escaping into space, which causes the Earth's temperature to rise.
Therefore, The correct answer is option B.
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ASAP HELPPPPPP POP PLEASE
Answer:
The answer is in the attachment
Explanation:
!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
A light plastic cart and a heavy steel cart are both pushed with the same force for 1.0 s, starting from rest. After the force is removed, the momentum of the light plastic cart is ________ that of the heavy steel cart.
Answer:
my friend give options .............
Consider the broadcasting circuit for an AM radio station which broadcasts at a frequency of 1400 kHz. The free electrons in such a circuit are moving back and forth in simple harmonic motion. (a) How long does it take for the free electrons in this circuit to go back and forth once? Give your answer in microseconds. μs (b) Assuming the average speed of the free electrons is 100 μm/s, what is the range of motion of the electrons as they go back and forth in the wires of the circuit. (HINT: As a free electron goes back and forth, it travels its full range every half cycle.) Give your answer in nanometers. nm (c) What is the wavelength of the electromagnetic radio waves emitted by this broadcasting circuit? Give your answer in meters. m
a) Time period is given by 0.751 b) Displacement is 0.0751 nm c) The wavelength of the electromagnetic radio waves emitted is 225.56 m
T = 1/f
T = 1/(1330*10^3 Hz)
T = 751.88 ns
Time period T = 0.751 us
b) displacement is given by:
x = velocity * Time
x = 100*10^-6 m/sec*0.751*10^-6 sec
x = 0.0751 nm
c) lambda = c/f
lambda = 3*10^8/(1330*10^3 Hz)
lambda = 225.56 m
Displacement, commonly known as length or distance and denoted by the letters d or s, is a one-dimensional variable that represents the separation between two defined points. In the International System of Units (SI), the meter is the common unit of displacement (m). Transferring unfavorable emotions from one thing or person to another is referred to as displacement and is a defensive tactic. To "take out" their rage on a family member, for instance, a person can yell at them if they are upset with their job. Replace, supersede, and supplant are some frequent alternatives to the word "displace."
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