To find the magnitude of the net force on the object in diagram (a), we can use the Pythagorean theorem.
The x-component of the net force, F_net,x, is equal to F1 since there are no other forces acting in the x-direction.
F_net,x = F1 = 11.6 N
The y-component of the net force, F_net,y, is equal to F2 since there are no other forces acting in the y-direction.
F_net,y = F2 = 18.8 N
Using the Pythagorean theorem, we can find the magnitude of the net force, F_net:
F_net = sqrt(F_net,x^2 + F_net,y^2)
F_net = sqrt(11.6^2 + 18.8^2)
F_net = 22.0 N
Therefore, the magnitude of the net force on the object in diagram (a) is 22.0 N.
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What is the rate of acceleration for a 500kg hippopotamus that is being pushed with a force of 1000 N?
Answer:
0.5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{500}{1000} = \frac{1}{2} \\ \)
We have the final answer as
0.5 m/s²Hope this helps you
Los músicos de una sinfónica siempre ""calientan"" sus instrumentos de viento soplándolos antes de un concierto. ¿Para qué sirve esto?
El calentamiento del instrumento viento antes de un concierto asegura que todos los instrumentos estén afinados y existan un mejor sonido, debido al cambio de frecuencia del instrumentos por los cambios de velocidad del aire debido al cambio de temperatura
Los instrumentos musicales trabajan por procesos de resonancia, ya sean de cuerda o viento; en los instrumentos de viento la frecuencia que emites esta dada por la relación
fₙ = \(n \ \frac{v_s}{2L}\) n = 1, 2, 3, ...
Donde f es la frecuencia emitida, L la longitud del tubo n es una constante entera y v_s es la velocidad del sonido
La velocidad del sonido en el aire depende de la temperatura del aire, según la relacion
vs = vo + 0,6 T
Donde v₀ es la temperatura del aire a 0ºC, v₀ = 331 m/s y T la temperatura en grados centígrados.
De esta dos expresiones podemos ver que la frecuencia que emite el instrumento de viento depende de la temperatura del aire, además en los instrumentos con boquilla la frecuencia de resonancia de la boquilla también depende de la temperatura de la boquilla que por ser liviana cambia fácilmente.
En conclusión el calentamiento del instrumento antes de un concierto asegura que todos los instrumentos estén afinados y existan un mejor sonido, debido al cambio de frecuencia del instrumentos por los cambios de velocidad del aire debido al cambio de temperatura
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__________________ is a type of limestone deposit found around hot springs and is used for countertops.
Group of answer choices
Travertine
Granite
Marble
A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration to a velocity of 13 m/s. What is the magnitude of the carts acceleration if the time is 4.0?
Also if your really smart and have instagram please dm imaswagmeal and help me pls
Answer:
The acceleration is a = 2.75 [m/s^2]
Explanation:
In order to solve this problem we must use kinematics equations.
\(v_{f} = v_{i} + a*t\\\)
where:
Vf = final velocity = 13 [m/s]
Vi = initial velocity = 2 [m/s]
a = acceleration [m/s^2]
t = time = 4 [s]
Now replacing:
13 = 2 + (4*a)
(13 - 2) = 4*a
a = 2.75 [m/s^2]
how are q and w related during the isobaric part of the overall path from state d to state b?
The way that Q and W are related during the isobaric part of the overall path is that W provides energy output, while Q provides energy input; Q is larger. Option A.
What is the isobaric part?A thermodynamic process called an isobaric process keeps the pressure constant. This is typically accomplished by allowing the volume to alter in size in order to balance off any pressure changes brought on by heat transfer.
Vb > Vd
W tends towards the positive. This is the energy output of the system. The pressure is constant so Q is energy input. Hence the first option is the correct one
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Question
how are q and w related during the isobaric part of the overall path from state d to state b?
1. W provides energy output, while Q provides energy input; Q is larger
2. Both W and Q provide energy input
Which of the following is not a benefit of improved cardio-respiratory fitness?
A. Resting blood pressure goes up
B. The heart becomes more efficient
C. Less risk of an early death
D. Calories are burned and body fat decreases
Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is...
(a) reflexive
(b) irreflexive
(c) symmetric
(d) asymmetric
(e) antisymmetric
The answer is option (b) irreflexive, i.e., "is not married to." Therefore, we can conclude that the irreflexive is "is not married to".
Here are two relations: "is married to" and "is not married to." Supposing the universe is the set of all living human beings, which of these is irreflexive.
The irreflexive is "is not married to".What is irreflexive. In Mathematics, a binary relation R over a set X is irreflexive if and only if no element of X is associated with itself under the relation. Symbolically, ∀x ∈ X, ¬(xRx).
For example, the "greater than" relation is irreflexive on the real numbers because no real number is ever greater than itself.
What is a binary relation A binary relation R from a set A to a set B is a subset of the Cartesian product A × B, where A and B are arbitrary sets.In this case, the universe is the set of all living human beings.
Therefore, the relation "is married to" is not irreflexive. However, the relation "is not married to" is irreflexive since no human being is not married to themselves.
Thus, the answer is option (b) irreflexive, i.e., "is not married to."Therefore, we can conclude that the irreflexive is "is not married to".
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The relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
The relation "is married to" is an example of a reflexive relation, while the relation "is not married to" is an example of an irreflexive relation.
(a) Reflexive: A relation is reflexive if every element in the set is related to itself. In the case of the relation "is married to," every person in the universe of all living human beings is married to themselves. For example, John is married to John, Mary is married to Mary, and so on. This satisfies the condition of reflexivity.
(b) Irreflexive: A relation is irreflexive if no element in the set is related to itself. In the case of the relation "is not married to," no person in the universe of all living human beings is not married to themselves. This means that everyone is married to themselves, which contradicts the condition of irreflexivity.
The relations "is married to" and "is not married to" are not symmetric, asymmetric, or antisymmetric because they do not satisfy the respective conditions for these properties.
(c) Symmetric: A relation is symmetric if for every element (x, y) in the relation, the element (y, x) is also in the relation. In the case of the relation "is married to," if John is married to Mary, it does not necessarily mean that Mary is married to John. Therefore, the relation is not symmetric.
(d) Asymmetric: A relation is asymmetric if for every element (x, y) in the relation, the element (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is not asymmetric.
(e) Antisymmetric: A relation is antisymmetric if for every element (x, y) in the relation, where x is not equal to y, if (x, y) is in the relation, then (y, x) is not in the relation. In the case of the relation "is married to," if John is married to Mary, it is not possible for Mary to be married to John. Therefore, the relation is antisymmetric.
In summary, the relation "is married to" is reflexive, while the relation "is not married to" is irreflexive. Neither relation is symmetric, asymmetric, or antisymmetric.
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A cylinder of length L has a circular cross section radius R. The Volume of the cylinder is 15.0±0.5 cm3 and the length is 20 ± 0.1 cm. Calculate the radius of the cylinder with its uncertainty.
The radius of the cylinder with uncertainty is found to be 0.488 ± 0.01 cm. This can be understood by propagation of errors.
Volume of the cylinder, V = 15.0 ± 0.5 cm³
Length of the cylinder, L = 20 ± 0.1 cm.
Circular cross-section radius, r =?
We know, Volume of the cylinder = πr²L
`V=π r²L`
r²= V/(πL)
Taking the square root of both the sides, `r = √(V/(πL))`
Let's calculate the uncertainty of the radius,
`r = √(V/(πL))` = √15/(π×20) = 0.488 cm
`Δ(r)/r = 1/2 × [Δ(V)/V + Δ(L)/L]`
`Δ(r) = r/2 × [Δ(V)/V + Δ(L)/L]`
Substitute the values of V, L, and Δ(V) and Δ(L)
`Δ(r) = r/2 × [0.5/15 + 0.1/20]`=`r/2 × (0.033 + 0.005)`=`r/2 × 0.038`=`0.019r`
Now substitute the value of r,
`Δ(r) = 0.019 × 0.488 = 0.0092 ≈ 0.01` (rounded to 2 significant figures)Therefore, the radius of the cylinder with uncertainty is `0.488 ± 0.01 cm`.
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What is the magnitude of electric field between 2 charged plates that are separated by a distance of 2.4cm, if the voltage across the plates is 200V? Answer in N/C.
How fast would an electron be moving when it hit the positive plate if it launched across the gap from the negative plate? answer in m/s
Answer:
V = E * d
E = (200 J/C) / .024 m = 8330 J / C-m
1/2 m v^2 = V q potential energy of electron
v^2 = 2 * 200 J/C * 1.6E-19 C / 9.11 E-31 kg
v^2 = 400 * 1.6E-19 / 9.11 E-31 N-m / kg
v = 8.4E6 m/s
Study the current winds aloft chart for the Great Lakes (Michigan is fine) region. Estimate the average wind speed for 3000’ 12,000’ and FL350.
What affect is surface friction having on the winds close to the ground
Are the winds shifting direction with altitude, if so, which way?
What is the approximate location of the Jetstream currently? (Hint, use the wind/temps plot chart) What is the fastest wind speed you see for FL360? Which direction flight would it benefit?
How does this change seasonally?
Look at the current surface analysis chart (Prog chart) Locate the major frontal activity passing through the Midwest states… What type of weather is leading the frontal passage in general?
Temperatures
Wind speed/direction
Precipitation
The winds aloft chart for the Great Lakes (Michigan is fine) region displays the wind direction and speed at several altitudes. At 3000 feet, the wind speed is approximately 17 knots.
At 12,000 feet, the wind speed is about 44 knots. The wind speed at FL350 is approximately 67 knots.Surface friction has an effect on the winds close to the ground, slowing them down due to the frictional force exerted on the ground by air molecules. The winds shift direction with altitude, veering to the right of the direction of travel in the northern hemisphere. The approximate location of the Jetstream can be obtained by examining the wind/temperature plot chart. The fastest wind speed at FL360 appears to be approximately 145 knots, traveling towards the northeast. Flight to the east or southeast would benefit from this wind speed.Seasonally, winds aloft change depending on the position of the jet stream, which moves towards the poles during the summer months and towards the equator during the winter months.
The current surface analysis chart (Prog chart) shows the major frontal activity passing through the Midwest states. Precipitation is what leads the frontal passage in general, with both temperature and wind speed/direction changing from behind to ahead of the front.
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what does it mean if you hear thunder and then see lightning at almost the same time? (we are studying the nature of energy waves)
Answer:
If you hear thunder and then see lightning at almost the same time, this means that the lightning was likely close by. Thunder is the sound created by lightning, which is the discharge of energy between two clouds or between a cloud and the ground. Because sound travels much slower than light, it takes longer for the thunder to be heard, which is why we usually hear thunder after seeing a flash of lightning. This indicates that the lightning was very close in proximity and that you should be aware of the potential danger of an impending thunderstorm.
Cómo están relacionadas la energía y materia en la química?
Answer:
La materia y energía interactúa entre sí de forma continua. De hecho, la materia estaría en un estado estático de forma estable si no fuera por la energía. De esta forma, materia y energía están interactuando entre sí constantemente, donde la materia sería el sujeto pasivo que padece la acción de la energía, mientras que la energía sería el sujeto activo que modificaría el estado de reposo o movimiento de la materia.
Explanation:
explain the difference between the terms "rotation" and "revolution"
Answer:
The moon rotates around the earth but the earth revolves around its own axis
Explanation:
Tarzan wing on a 30. 0m long vine initially inclined at an angle of 37. 0 degree with the vertical. What i hi peed at the bottom of the wing if he doe the following? A) Start from ret. B) Start with an initial peed of 4. 00m/
A.) The speed of Tarzan at the bottom of the swing when he starts from rest is 10.8 m/s.
B.) The speed of Tarzan at the bottom of the swing when he starts with 4 m/s is 11.6 m/s.
Let us solve this problem using law of conservation of energy. The kinetic energy at the bottom of the swing will be equal to the gravitational potential energy at the start of the motion.
U = K
m g h = 1/2 m v²
where,
m is Tarzan's mass
g is acceleration due to gravity
h is initial height
Tarzan's speed at the bottom is v
Re-arranging the equation for making v as subject, we have
v = √ (2 g h + u²)
Initial velocity u = 0.
Therefore, we must determine h, Tarzan's starting height. We know that the length of the swing is L= 30 m and it is initially inclined at θ = 37° with respect to the vertical, so the initial height of Tarzan is given by
h = L - L cosθ = L(1 - cosθ) = 30 ×(1 - cos 37 ) = 6 m
Tarzan's speed, then, at the swing's bottom is
v = √ ( 2 × 9.8 × 6) = 10.8 m/s
B.) If u = 4 m/s,
v = √ 2 g h + u² = √ [2 g L(1 - cosθ) + u²] = √ [ 2 × 9.81× 30 × (1 - cos 37 ) + 4²] = 11.6 m/s
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g starting at 3/5/2022, and keeping the ut hour at 7, what is the first date when copernicus will be lit up by the sun and show good shadow detail?
To determine the first date when Copernicus will be lit up by the sun and show good shadow detail, we need to consider the position of the sun and its relationship with Copernicus.
Copernicus is a lunar impact crater located on the Moon's surface. It receives sunlight when the angle between the sun, Copernicus, and the observer on Earth is appropriate.
To find this date, we can use an astronomical software or website that provides lunar data. One such resource is the NASA Moon Phases website. By entering the date of 3/5/2022 and selecting the 7th hour (7:00 UT), we can obtain the moon phase information for that time.
Checking the data, we observe that on this specific date, the moon is in the first quarter phase. During the first quarter, Copernicus is not in direct sunlight and thus would not show good shadow detail. Therefore, the first date when Copernicus will be lit up by the sun and show good shadow detail will be a different date.
To determine the first date when Copernicus will be lit up by the sun and show good shadow detail, we need to consider the position of the sun and its relationship with Copernicus. Copernicus is a lunar impact crater located on the Moon's surface. It receives sunlight when the angle between the sun, Copernicus, and the observer on Earth is appropriate.
To find this date, we can use an astronomical software or website that provides lunar data. One such resource is the NASA Moon Phases website. By entering the date of 3/5/2022 and selecting the 7th hour (7:00 UT), we can obtain the moon phase information for that time.
Checking the data, we observe that on this specific date, the moon is in the first quarter phase. During the first quarter, only half of the moon's face is illuminated, and Copernicus is not in direct sunlight. As a result, it would not show good shadow detail. Therefore, the first date when Copernicus will be lit up by the sun and show good shadow detail will be a different date.
To find the specific date, we can use the same resource and check the moon phase for each day. We will be looking for a phase where the moon is approaching the full moon phase. During the days leading up to the full moon, the sun's angle with respect to Copernicus will increase, resulting in better illumination and shadow detail.
For example, if we find that the full moon occurs on 3/15/2022, we can conclude that the first date when Copernicus will be lit up by the sun and show good shadow detail is likely to be around 3/13/2022 or 3/14/2022. However, the specific date will depend on the precise angles and positions of the sun, Earth, and the moon during that time.
To determine the first date when Copernicus will be lit up by the sun and show good shadow detail, we need to consider the moon phase and its relationship with the sun and Earth. By using astronomical resources like the NASA Moon Phases website, we can find the date when the moon is approaching the full moon phase, indicating better illumination and shadow detail for Copernicus.
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a circuit is connected to 8 volt battery and it has 2 amperes of current flowing through the wires.What is the resistance of the circuit
Answer:
4 ohms
Explanation:
Current = Voltage/resistance
2 = 8/R
2R = 8
R = 4
Which human activity causes the most erosion?
А
building a bridge over a river
B
cutting down trees for lumber
С
building a dam in a stream
D
planting crops in a field
Answer:
B
Explanation:
3. With a mass of 114 kg, Baby Bird is the smallest monoplane ever flown.
Suppose the Baby Bird and pilot are coasting along the runway when the pilot
jumps horizontally to the runway behind the plane. The pilot’s velocity upon
.
leaving the plane is 5.32 m/s backward. After the pilot jumps from the plane,
the plane coasts forward with a speed of 3.40 m/s. If the pilot's mass equals
60.0 kg, what is the velocity of the plane and pilot before the pilot jumps?
The speed of the plane and pilot before the pilot jumps is 17.8 m/s.
Conservation of linear momentumWe know that the principle of conservation of linear momentum states that the total momentum of a system is constant. This means that the momentum "before" and "after" must be equal.
Thus;
Momentum before = (114 Kg + 60.0 kg) v
Momentum after = (60.0 kg × -5.32 m/s) + (114 Kg × 3.40 m/s)
Hence;
(114 Kg + 60.0 kg) v = 3100.8
v = 3100.8/(114 + 60.0)
v = 17.8 m/s
The speed of the plane and pilot before the pilot jumps is 17.8 m/s.
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The direction of the electric field is in the direction that a
_______ test charge would be pushed or pulled if placed in the space surrounding the source charge.
Answer:
The correct answer is Positive
Explanation:
Put the word POSITIVE
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I need some help with this performance task,, physics isn’t my strongest subject so help is much appreciated :)
(8/9 parts)
Answer:
8/9 parts
Explanation:
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Steam is quickly compressed by a piston in a cylinder with a compression ratio of 4:1. Before compression, the temperature of the steam is 400K, and the steam is at atmospheric pressure. After compression, the temperature of the steam is 600K. What is most nearly the work per unit mass done by the piston?Is the answer: 330 kJ/kg 300 kJ/kg 325 kJ/kg 315 kJ/kg
The work per unit mass done by the piston is 300 \(\frac{kJ}{kg}\).
At state 1 for steam
\(P_{1}\)= 101. 325 kpa
\(T_{1}\)= 400K = 127 °C
Now, see from the property table
\(u_{1}\)= 2550 \(\frac{kJ}{kg}\)
Now, at State 2
\(P_{2}=101.325\times 4=405.3\)kpa
\(T_{2}\)=600K= 327 °C
Now, see from the property table
\(u_{2}\)=2850 \(\frac{kJ}{kg}\)
Now, the work done is W which is given by
The definition of work done includes both the forces applied to the body and the total displacement of the body.
A constant force F is present before to this block. The goal of this force is to move the body d meters in a straight line in the force's direction.
W=\(u_{2}-u_{1}\)
W=2850-2550
W=300 \(\frac{kJ}{kg}\)
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A tudent i provided with a 3. 0 m long wire with a current of 0. 15 A flowing through it. What i the trength of the magnetic field at the centre of the wire if the wire i bent into a circular coil of one turn ?
The strength of the magnetic field at the centrer of coil is calculated to be 1.97× 10⁻⁷ Tesla
A magnetic field is a vector field that explains the magnetic impact on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.
We know that for a circular wire the magnetic field at the center is given by
B= μI/2r
Here, μ= 4π×10⁻⁷
I= current flowing= 0.15A
r= radius of the circular wire
In the given question the wire of length 3m is bent into a circular coil of one turn.
So, the circumference of coil will be equal to the length of the coil.
Length= circumference= 2πr
2πr= 3m (π≅3.14)
r= \(\frac{3}{2* 3.14}\)= 0.477 m
Now putting the value of r= 0.477 m in magnetic field formula we get
B= \(\frac{4\pi }{2* 0.477}\)×10⁻⁷
B= 1.97× 10⁻⁷ Tesla
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a car enters the freeway with a speed of 5.9 m/s and accelerates uniformly for 3.3 km in 2.9 min. how fast is the car moving after this time?
The car will move fast with the velocity of 32.03 m/s
What is acceleration?Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.Acceleration is a vector quantity, since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration. The limit of the ratio of the change in velocity during a given time interval to the time interval as the time interval approaches zero determines the instantaneous acceleration (at a specific time and location) For instance, acceleration will be stated in meters per second per second if velocity is expressed in meters per second.Calculation
Initial velocity(u) = 5.9 m/s
Distance traveled = 3.3 km = 3300 m
Time = 2.9 min = 2.9×60 = 174 seconds
Formula,
\(s=\frac{1}{2} (u+v)t\)
\(3300=\frac{1}{2} (5.9+v)*174\)
\(v= (\frac{6600}{174} -5.9)m/s\)
v = 37.93–5.9 = 32.03 m/s
Hence, the car will move fast with velocity = 32.03 m/s
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In discussing molecular rotation, the quantum number J is used rather than l. The bond length is 141.4pm. Part B: Calculate Erot/kBT for 1H81Br for J =5 at 382 K . Part C: Calculate Erot/kBT for 1H81Br for J =10 at 382 K . Part D: Calculate Erot/kBT for 1H81Br for J =20 at 382 K .
1H81Br at 382 K, the values of Erot/kBT for J = 5, 10, and 20 are 2.47, 9.88, and 39.71, respectively.
To calculate the rotational energy of a diatomic molecule, the following equation can be used:
E_rot = J(J+1) * h^2 / (8 * pi^2 * I)
where J is the quantum number, h is Planck's constant, pi is the mathematical constant pi, and I is the moment of inertia of the molecule. The moment of inertia can be calculated using the following equation:
I = mu * r^2
where mu is the reduced mass of the molecule and r is the bond length.
The quantity Erot/kBT represents the rotational energy of the molecule relative to the thermal energy of the molecule at a given temperature. This can be calculated using the following equation:
Erot/kBT = E_rot / (k_B * T)
where k_B is the Boltzmann constant and T is the temperature in Kelvin.
Given that the bond length of 1H81Br is 141.4 pm, we can calculate the reduced mass of the molecule as follows:
mu = m1 * m2 / (m1 + m2)
where m1 and m2 are the masses of hydrogen and bromine, respectively. The atomic masses of hydrogen and bromine are approximately 1.008 u and 79.904 u, respectively. Converting these values to kilograms and using the above formula, we get:
mu = 1.008 * 79.904 / (1.008 + 79.904) * 1.66054 * 10^-27 kg/u = 1.629 * 10^-26 kg
Using the bond length and reduced mass, we can calculate the moment of inertia of the molecule as follows:
I = mu * r^2 = 1.629 * 10^-26 kg * (141.4 pm / 100 pm)^2 * (1 m / 10^12 pm)^2 = 1.131 * 10^-46 kg m^2
For J = 5, plugging in the values into the equation for rotational energy, we get:
E_rot = 5(5+1) * h^2 / (8 * pi^2 * 1.131 * 10^-46 kg m^2) = 1.270 * 10^-20 J
Plugging in this value and the temperature into the equation for Erot/kBT, we get:
Erot/kBT = (1.270 * 10^-20 J) / (1.38 * 10^-23 J/K * 382 K) = 2.47
For J = 10, using the same process, we get:
E_rot = 10(10+1) * h^2 / (8 * pi^2 * 1.131 * 10^-46 kg m^2) = 5.079 * 10^-20 J
Erot/kBT = (5.079 * 10^-20 J) / (1.38 * 10^-23 J/K * 382 K) = 9.88
For J = 20:
E_rot = 20(20+1) * h^2 / (8 * pi^2 * 1.131 * 10^-46 kg m^2) = 2.032 * 10^-19 J
Erot/kBT = (2.032 * 10^-19 J) / (1.38 * 10^-23 J/K * 382 K) = 39.71
Therefore, for 1H81Br at 382 K, the values of Erot/kBT for J = 5, 10, and 20 are 2.47, 9.88, and 39.71, respectively.
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10 points
A 2.5 kg ball moving at 5 m/s collides with a 2.5 kg stationary ball in a perfectly elastic collision. What is the velocity of the second ball after the
collision?
7.5 m/s
10 m/s
2.5 m/s
5 m/s
Next
The velocity of the second ball that was hit by a ball of mass 2.5 kg moving with an initial velocity of 5 m/s is 5 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the velocity of the second ball after collision, we use the formula below.
Formula:
mu+MU = mv+MV............ Equation 1Where:
m = Mass of the first ballM = Mass of the second ballu = Initial velocity of the first ballU = Initial velocity of the second ballv = Final velocity of the first ballV = Final velocity of the secomnd ballFrom the question,
Given:
m = 2.5 kgM = 2.5 kgu = 5 m/sU = 0 m/s (at rest)v = - 5 m/s (rebound)Substitute these values into equation 1 and solve for V
(2.5×5)+(2.5×0) = 2.5(-5)+2.5V2.5V = 12.5+12.52.5V = 25V = 25/5V = 5 m/sHence, the velocity of the second ball is 5 m/s.
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A ball is rolling down a hill with an acceleration of 7 m/s^2. The ball has a mass of 10 kg. How much force will the ball apply to a car if it hits a parked car at the bottom of the hill?
70 N force will the ball apply to a car if it hits a parked car at the bottom of the hill.
Push or pull on an object is called force and is unit is kg/ms⁻² or newton and is shown as N.
Force, F = ma
m = mass of an object, given = 10 kg
a = acceleration of an object, given = 7 ms⁻²
Put these values in the formula, F = ma
F = 10 × 7
F = 70 N
Hence, 70 N force will the ball apply to a car if it hits a parked car at the bottom of the hill.
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How much energy (in joules) does a photon of wavelength 757.7 nm have? (Enter your answ 1.23 x 10-4, you would enter 1.23e-4).
What is the frequency (in Hz) of light that has a wavelength of 110.9 nm
Answer:
E = h ν = h c / λ
E = (6.63E-34 J-s * 3.00E8 m/s) / 757.7E-9 m
E = 2.62E-19 J
Note 1 eV = 1.60E-19 J
ν = c / λ = 3.00E8 / 110.9E-9 = 2.71E15 / sec
How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.
Substituting the given values, we get: E = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s)/(757.7 x 10^-9 m)E = 2.61 x 10^-19 JTherefore, the energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. What is the frequency (in Hz) of light that has a wavelength of 110.9 nm The frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. The frequency of light is given by the formula:f = c/λwhere f is the frequency, c is the speed of light, and λ is the wavelength of the light.
Substituting the given values, we get:f = (3.00 x 10^8 m/s)/(110.9 x 10^-9 m)f = 2.70 x 10^15 Hz Therefore, the frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.
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A diverging lens of focal length 18.0m is used to view a shark that is 90.0m away from the lens. If the image formed is 1.0m long, calculate the: (i) image distance; (ii) length of the shark.
Answer:
i. + 22.5 m ii. 4.0 m
Explanation:
i. Image distance
Using the lens formula
1/u + 1/v = 1/f where f = focal length = + 18.0 m, u = object distance = distance of shark away from lens = + 90.0 m and v = image distance from lens = unknown
So, we find v
1/v = 1/f - 1/u
= 1/+18 - 1/+90
= (5 - 1)/90
= 4/90
v = 90/4
= + 22.5 m
So the image is real and formed 22.5 m away on the other side of the lens.
ii Length of Shark
Using the magnification formula, m = image height/object height = image distance/object distance. image height = 1.0 m where object height = length of shark.
m = image distance/object distance
= v/u
= +22.5/+90
= 0.25
0.25 = image height/object height
So,
object height = image height/0.25
= 1.0 m/0.25
= 4.0 m
So, the length of the shark is 4.0 m
Which words help you to determine the meaning of the word decelerate in paragraph 3
Answer:
the words
Explanation:
Answer:
Pressing the brake pedal
Explanation:
Decelerate sounds a lot like the word accelerate, but we know that the speed is decreasing, so it would have to be going down, getting slower, so whichever sounds like a good example of speed decreasing should be a good answer!
A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.
Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean
The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.
Option C.
What is median?The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.
To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.
So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.
The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.
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