We have to find the kinetic energy of the goose. We converted the mass of the goose from pounds to kg. Then we converted the speed from miles/h to m/s. Finally, we substituted the values of mass and speed into the formula for kinetic energy.
Given, Mass of the goose = 23.5 lb
Speed of the goose = 11.5 miles/h
We need to find the kinetic energy of the goose in Joules.
Step 1: Convert the mass of the goose from pounds to kg.
Mass of the goose = 23.5 lb
To convert pounds to kg, we know that:
1 lb = 0.453592 kg
Thus,Mass of the goose = 23.5 lb= 23.5 × 0.453592 kg
= 10.6592672 kg≈ 10.66 kg
Step 2: Convert speed from miles/h to m/s.
We know that,1 mile/h = 0.44704 m/s
Speed of the goose = 11.5 miles/h= 11.5 × 0.44704 m/s= 5.15296 m/s
Step 3: Substitute the values of mass and speed into the formula for kinetic energy.
Kinetic energy (K.E) = (1/2) × mass × speed²
Now,Mass of the goose, m = 10.66 kg
Speed of the goose, v = 5.15296 m/s
Substituting these values into the formula for kinetic energy,
Kinetic energy (K.E) = (1/2) × mass × speed²
= (1/2) × 10.66 × (5.15296)²
≈ 141.78 Joules (J)
Thus, the kinetic energy of the goose is approximately 141.78 Joules (J).
To know more about kinetic energy, visit at:
https://brainly.com/question/999862
#SPJ11
The sputnik one satellite orbiting earth mass equals 5.98×10 to the 24th power kilograms in a circle of radius 6.96×10 to the six power meters what was its orbital velocity
Answer:
7572 m/s
Explanation:
The force between two masses separated by a distance r is given as:
\(F=G\frac{m_1m_2}{r^2}\)
Where F is the attractive force between 2 masses, m1 and m2, r is the distance between the centres of the masses and G is the universal gravitation constant, which is \(6.674*10^-11 Nm^2/kg^2\)
The mass of the earth (\(m_1\)) is far greater than the mass of the sputnik (\(m_2\)). Therefore \(m_1m_2=m_1\). The mass of the sputnik is neglected, therefore:
\(F=G\frac{m_1}{r^2}=\frac{(6.674*10^{-11})(5.98*10^{24})}{(6.96*10^6)^2} = 8.2389N\)
But F is actually centripetal acceleration, a = v²/r
\(8.2389 = v^2 / 6.96*10^6\\v=7572m/s\)
Suppose you have a $102-\mathrm{kg}$ wooden crate resting on a wood floor. (For each answer, enter a number. $\mu_k=0.3$ and $\mu_s=0.5$ )
(a) What maximum force (in N) can you exert horizontally on the crate without moving it?
(b) If you continue to exert this force (in $\mathrm{m} / \mathrm{s}^2$ ) once the crate starts to slip, what will the magnitude of its acceleration (in $\mathrm{m} / \mathrm{s}^2$ ) then be?
The maximum force that can be exerted horizontally on the crate without moving it is 499.8 N, considering the static friction between the crate and the wood floor. Once the crate starts to slip, the magnitude of its acceleration will be 2.94 m/s^2 due to the kinetic friction between the crate and the wood floor.
(a) To determine the maximum force that can be exerted horizontally on the crate without moving it, we need to consider the static friction between the crate and the wood floor. The maximum force can be calculated using the formula:
F_max = μ_s * N,
where μ_s is the coefficient of static friction and N is the normal force acting on the crate.
The normal force N is equal to the weight of the crate, which can be calculated as:
N = m * g,
where m is the mass of the crate and g is the acceleration due to gravity.
Substituting the given values, we have:
N = 102 kg * 9.8 m/s^2 = 999.6 N.
Therefore, the maximum force that can be exerted horizontally on the crate without moving it is:
F_max = 0.5 * 999.6 N = 499.8 N.
(b) Once the crate starts to slip, the force of friction changes from static friction to kinetic friction. The magnitude of the crate's acceleration can be calculated using the formula:
a = (μ_k * g),
where μ_k is the coefficient of kinetic friction.
Substituting the given value, we have:
a = 0.3 * 9.8 m/s^2 = 2.94 m/s^2.
Therefore, if the applied force continues once the crate starts to slip, the magnitude of its acceleration will be 2.94 m/s^2.
To know more about static friction,
https://brainly.com/question/17140804
#SPJ11
Suppose that for a certain beverage company the volumes of soda cans are normally distributed with a mean of 12.01 fluid ounces and a standard deviation of 0.02 fluid ounces. a) If one soda can is randomly selected from the population, find the probability that its volume is less than 12 fluid ounces. Round to four decimal places. b) If a sample of size n = 32 soda cans is drawn randomly from the population, find the probability that the sample mean volume is less than 12 fluid ounces. Round to four decimal places. c) What do you think happens to the probability that the sample mean volume is less than 12 fluid ounces as larger and larger sample sizes are taken?
a. The probability that a randomly selected soda can has a volume less than 12 fluid ounces is approximately 0.3085
b. The probability that the sample mean volume is less than 12 fluid ounces, when a sample of size n = 32 is taken, is approximately 0.0023
c. The distribution of the sample mean becomes narrower and more concentrated around the population mean. Consequently, the probability of obtaining a sample mean less than 12 fluid ounces decreases because the sample mean is less likely to deviate significantly from the population mean.
a) Let X be the volume of a randomly selected soda can. We are given that the mean (μ) is 12.01 fluid ounces and the standard deviation (σ) is 0.02 fluid ounces.
We need to calculate P(X < 12). To do this, we standardize the variable using the z-score formula:
z = (X - μ) / σ
Substituting the given values, we have:
z = (12 - 12.01) / 0.02
= -0.5
Now, we can use a standard normal distribution table or calculator to find the probability associated with the z-score of -0.5. From the table, we find that the probability is approximately 0.3085.
b) When a sample of size n = 32 soda cans is drawn randomly from the population, the mean volume of the sample (denoted by X-bar) follows a normal distribution with the same mean (μ = 12.01 fluid ounces) but a smaller standard deviation (σ-bar) given by:
σ-bar = σ / sqrt(n)
Substituting the values, we have:
σ-bar = \(0.02 / \sqrt{(32)\)
= 0.02 / 5.6569
≈ 0.00354
Now, we need to calculate P(X-bar < 12). Again, we standardize the variable using the z-score formula:
z = (X-bar - μ) / σ-bar
Substituting the given values, we have:
z = (12 - 12.01) / 0.00354
≈ -2.8249
Using the standard normal distribution table or calculator, we find that the probability associated with the z-score of -2.8249 is approximately 0.0023.
c) As larger and larger sample sizes are taken, the probability that the sample mean volume is less than 12 fluid ounces tends to decrease. This is because as the sample size increases, the sample mean becomes a better estimate of the population mean. The larger the sample size, the more reliable and representative the sample mean is of the true mean. Hence, the sample mean is more likely to be closer to the population mean.
To know more about probability, here
brainly.com/question/31828911
#SPJ4
By plane , a trip to Disney world took 10hours over a distance of 815 km what is the average speed of the plane
Answer:
81.5
Explanation:
the total distance of 815km divided by total hours traveled 10hrs.
815 divided by 10 = 81.5
The term "Mechanical Energy" represents the sum of potential and kinetic energy. An
object has a mechanical energy of 3200 J and a potential energy of 1260 J. What is the
kinetic energy of the object?
The kinetic energy is obtained as 1960 J.
What is energy?The term energy refers to the ability to do work. There are several forms of energy. However, the mechanical energy refers to the energy that is either at rest or in motion.
Now we have the mechanical energy as the sum of the potential and kinetic energy. Thus;
Mechanical energy = 3200 J
Potential energy = 1260 J
Kinetic energy = 3200 J - 1260 J
= 1960 J
Learn more about mechanical energy:https://brainly.com/question/13552918
#SPJ1
A net force of magnitude 10 N acts on a 1 kg
object.
What will be the magnitude of the object’s
acceleration?
Answer:
The answer is 10 m/s^2
Explanation:
Newtons Second Law is: F=ma
Taking into account the Newton's second law, the object’s acceleration is 10 m/s².
Newton's Second Law, also called the Fundamental Law of Dynamics, establishes the relationship that exists between the forces that act on an object and the acceleration it experiences.
This law indicates that: "The change in motion is directly proportional to the printed motive force and occurs according to a straight line along which that force is printed."
This means that the acceleration of a moving object depends on the amount of force applied to it at a given moment.
Mathematically, Newton's second law is expressed by:
F= m×a
where:
F = Force [N] m = Mass [kg] a = Acceleration [m/s²]In this case, you know:
F= 10 N m= 1 kg a= ?Replacing:
10 N= 1 kg× a
Solving:
a= 10 N÷ 1 kg
a= 10 m/s²
Finally, the object’s acceleration is 10 m/s².
Learn more about the Newton's second law:
brainly.com/question/23845187?referrer=searchResults brainly.com/question/13959891?referrer=searchResultswhat is required to cause a body of mass 500g to accelerate uniformly from rest across a smooth horizontal surface so that it will cover a distance of 20 tometre in 4 seconds .
A constant force of 1.25N
Explanation:
This is a kinematics problem.
First find acceleration,
then use F = ma to find force.
Given:
mass = .5kg
delta x = 20m
t = 4s
a = ?
Friction = 0
From the kinematics equations:
delta x = Vi + (1/2)at^2
Plug in terms that are given:
20m = 0 + (1/2)a(4^2)
(2*20m)/(16s^2) = a
40m/(16s^2)= 2.5m/s^2
Now use F = ma to find force exerted on object.
F = (0.5kg)*(2.5m/s^2)
F = 1.25N
Use words from the box to complete the sentences below.
-direction
-energy
-mass
-size
Vectors have size and ___
Scalars have only ____
Answer:
direction
size
Explanation:
Vectors are physical quantities with both magnitude or size and direction.
Scalars are physical quantities with only size but not direction.
Examples of vectors are velocity, displacement and force. Examples of scalar are distance and speedWhen describing a vector, on must specify its magnitude and direction.
Only the size of scalar quantities are needed to describe them.
A crane uses an average force of 5,200 N to left a girder 25m. How much work does the crane do on the girder?
Answer:
130,000 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 5200 × 25
We have the final answer as
130,000 JHope this helps you
Who can help me answer these two question? 3 and 5
3) 43
5) a - She should compare the increase in temperature...
(if a is wrong, try c)
given a cp air mass and ct air mass with the same relative humidity, which air mass would have higher specific humidity?
The cT air mass would have the greater specific humidity; SPECIFIC HUMIDITY is the weight (amount) of vapour contained in a unit weight (amount) of air.
What are specific humidity and relative humidity?Relative humidity, which is frequently stated as a percentage, describes how humid it is right now in comparison to how humid it would be at its maximum temperature. The proportion of vapour mass to all moist air parcel mass is known as specific humidity. Surface longevity depends heavily on humidity.
Why is a certain humidity used?The most accurate way to measure humidity is with a unit called the specific humidity unit. The specific humidity unit, g.kg-1, is used to quantify the weight of water vapor per unit weight of air. This measurement is made in grams of water vapor per kilogram of air.
To know more about specific humidity visit:
https://brainly.com/question/13434978
#SPJ4
Can somone help me with this problem I have been stuck on it for a while. The answer is 17.1m but I dont understand how to get it. If you dont know dont answer or I will report you.
Hi There, Buddy!
To solve this problem, let us divide the entire motion into 2 phases
1.) When the elevator is moving with an acceleration
2.) When the elevator has a deceleration
For the first half -
u = 0 , a = 0.6 , t = t1
v = 0.6(t1) ---------- ( 1 )
s = 1/2 x 0.6 x (t1)^2 = 0.3(t1^2) -------- ( 2 )
For the second half -
u = 0.6(t1) , a = -0.8 , v = 0
0.6 x (t1) = 0.8 (t2) ----> 3(t1) = 4(t2) ---------- ( 3 )
0.36(t1)^2 = 1.6 s2 ---------- ( 4 )
Now, we know that the total time taken is 10 seconds
------- t1 + t2 =10 , 3t1 = 4t2 ---- t1 = 40/7 , t2 = 30/7
Now, substitute values of t1 and t2 in s1 and s2 and add both s1 and s2 to get total distance travelled.
PLEASE MARK AS BRAINLIEST!
If you liked the answer, please visit my website abcd123iitians.wixsite/mysite for Physics Questions and solutions. Thanks!!!
Joe is standing on the pedal of a bicycle. If his mass of 65 kg, the pedal makes an angle of 55º above the horizontal, and the pedal is 18 cm from the center of the chain ring, how much torque does he exert?
a. 4 N·m c. 94 N·m b. 18 N·m d. 122 N·m
...
Answer:
94 N-m
Explanation:
Joe is standing on the pedal of a bicycle. If his mass of 65 kg, the pedal makes an angle of 55º above the horizontal, and the pedal is 18 cm from the center of the chain ring. The amount of torque Joe exert is 94 N-m.
What is torque?The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.
Torque is defined as Γ = r×F = r.F.sin(θ). In other words, torque is the cross product of the force vector, where 'θ' is the angle between r and F, and the distance vector (the distance between the pivot point and the place where force is applied).
Given in question mass 65 Kg so force, F = mg = 637 N
Distance r = .18 m and θ = 55 so sinθ = .82
Torque = rFsin(θ) putting the values, we get
Torque = 94 N-m.
The amount of torque Joe exert is 94 N-m.
To learn more about torque refer to the link:
brainly.com/question/6855614
#SPJ2
Which of the following has the highest global Warming Potential (GWP) as a green house gas?
A.) Water vapor (h20)
B.) Carbon dioxide ( CO2)
C.) Chlorofluorocarbons (CFCs)
D.) Methane (CH4)
Answer:
Hi
Explanation:
A H20
David runs 15 km North, then 7 km West to get home. What is Travis's displacement?
Answer:
16.55 km
Explanation:
to find the displacement use the Pythagorean theorem to find the distance between the starting position and the ending position
15 becomes 225 when squared
7 is 49 when squared
225+49=274
sqrt of 274 is 16.55
The mass of the train is 450000 kg.
Calculate the maximum possible speed of the train at the end of the first 4.0km of the
journey.
The maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.
To calculate the maximum possible speed of the train at the end of the first 4.0 km of the journey, we can apply the principle of conservation of energy.
Assuming there are no external forces like friction or air resistance, the initial potential energy of the train will be converted into kinetic energy.
The potential energy (PE) of the train at the beginning of the journey can be calculated as PE = mgh, where m is the mass of the train, g is the acceleration due to gravity (approximately \(9.8 m/s^2\)), and h is the height difference (in this case, we assume it to be zero).
The kinetic energy (KE) of the train at the end of the 4.0 km journey can be calculated as \(KE = (1/2)mv^2\), where v is the velocity of the train.
Since the potential energy is converted into kinetic energy, we can equate the two expressions:
PE = KE
\(mgh = (1/2)mv^2\)
Simplifying and canceling out the mass:
\(gh = (1/2)v^2\)
Substituting the values, \(g = 9.8 m/s^2\)and h = 0, we get:
\((9.8 m/s^2)(0) = (1/2)v^2\)
Simplifying further:
\(0 = (1/2)v^2\)
This equation tells us that the maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.
For more questions on speed
https://brainly.com/question/26046491
#SPJ8
a nucleus emits a gamma ray of energy 0.511 mev from a state that has a lifetime of 1.0 ns. (a) What is the uncertainty in the energy of the gamma ray? (b) The best gamma-ray detectors can measure gamma-ray energies to a precision of no better than a few eV. Will this uncertainty be directly measurable?
The uncertainty of energy of the gamma ray is 3.34 x 10⁻²⁵MeV.
Energy of the gamma ray emitted by the nucleus, E = 0.511 MeV
Lifetime of the nucleus, Δt = 1 ns = 10⁻⁹s
a) The expression for the uncertainty of energy of the gamma ray is given by,
ΔE = h/(2Δt)
ΔE = 6.67 x 10⁻³⁴/(2 x 10⁻⁹)
ΔE = 3.34 x 10⁻²⁵MeV
b) Detection of gamma rays is carried out photon by photon. By studying the impact they have on materials, gamma rays can be found.
Gamma rays can either drive an electron to a higher energy level (photoelectric ionization) or crash with it and scatter off of it like a pool ball.
To learn more about gamma rays, click:
https://brainly.com/question/14847283
#SPJ1
Consider a three-dimensional harmonic oscillator, whose state vector ) is: |) = |az)|a₂) |az) where lar), lay) and laz) are quasi-classical states (cf. Complement Gy) for one- dimensional harmonic oscillators moving along Ox, Oy and Oz, respectively. Let L = Rx P be the orbital angular momentum of the three-dimensional oscillator. a. Prove: (L₂) = iħ (aza-aαv) AL₂ = √/la1² + |a₂|² and the analogous expressions for the components of L along Or and Oy. b. We now assume that: {Lz) = (Ly) =0, (L₂) = Ali> 0 Show that a must be zero. We then fix the value of A. Show that, in order to minimize ALT + ALy, we must choose: ag = -iαy = eivo V₂ (where po is an arbitrary real number). Do the expressions AL.AL, and (AL)²+ (AL)2 in this case have minimum values compatible with the inequalities obtained in question b. of the preceding exercise? c. Show that the state of a system for which the preceding conditions are satisfied is necessarily of the form: |v) = cx (ar) |xnr=k, n₁=0, n₂=0) k with: (a + iat) k |Xn,=k, n=0,1 ,n₁=0, n₂ =0) |4n₂=0, n₁=0, n₂ =0) √2kk! ak Ck (α) e-la/²/2 = √k! ; ar = ¹0 √ (the results of Complement Gy and of § 4 of Complement Dyi can be used). Show that the angular dependence of Xn, k, n=0, n.-0) is (sin ei)k. L2 is measured on a system in the state ). Show that the probabilities of the various possible results are given by a Poisson distribution. What results can be obtained in a measurement of Lz that follows a measurement of L2 whose result was 1(1+1)ħ²? =
This is a multi-part question involving a three-dimensional harmonic oscillator and its angular momentum.
a. The orbital angular momentum operator `L` can be written in terms of the position and momentum operators as `L = r x p`. The squared magnitude of the angular momentum is given by `L^2 = Lx^2 + Ly^2 + Lz^2`. The `z` component of the angular momentum can be written as `Lz = xp_y - yp_x`, where `p_x` and `p_y` are the momentum operators along the `x` and `y` directions, respectively.
Since the state vector `|ψ⟩` is given as a product of quasi-classical states for one-dimensional harmonic oscillators along each axis, we can use the ladder operator formalism to evaluate the action of `Lz` on `|ψ⟩`. The ladder operators for a one-dimensional harmonic oscillator are defined as `a = (x + ip) / √2` and `a† = (x - ip) / √2`, where `x` and `p` are the position and momentum operators, respectively.
Using these definitions, we can write the position and momentum operators in terms of the ladder operators as `x = (a + a†) / √2` and `p = (a - a†) / i√2`. Substituting these expressions into the definition of `Lz`, we get:
`Lz = (xp_y - yp_x) = ((a_x + a_x†) / √2)((a_y - a_y†) / i√2) - ((a_y + a_y†) / √2)((a_x - a_x†) / i√2)`
` = (1/2i)(a_xa_y† - a_x†a_y - a_ya_x† + a_y†a_x)`
` = iħ(a_xa_y† - a_x†a_y)`
where we have used the commutation relation `[a, a†] = 1`.
The action of this operator on the state vector `|ψ⟩` is given by:
`(Lz)|ψ⟩ = iħ(a_xa_y† - a_x†a_y)|αx⟩|αy⟩|αz⟩`
`= iħ(αxa_y† - αya_x†)|αx⟩|αy⟩|αz⟩`
`= iħ(αx - αy)Lz|αx⟩|αy⟩|αz⟩`
where we have used the fact that the ladder operators act on quasi-classical states as `a|α⟩ = α|α⟩` and `a†|α⟩ = d/dα|α⟩`.
Since `(Lz)|ψ⟩ = iħ(αx - αy)Lz|ψ⟩`, it follows that `(Lz)^2|ψ⟩ = ħ^2(αx - αy)^2(Lz)^2|ψ⟩`. Therefore, we have:
`(L^2)|ψ⟩ = (Lx^2 + Ly^2 + Lz^2)|ψ⟩`
`= ħ^2(αx^2 + αy^2 + (αx - αy)^2)(L^2)|ψ⟩`
`= ħ^2(αx^2 + αy^2 + αx^2 - 2αxαy + αy^2)(L^2)|ψ⟩`
`= ħ^2(3αx^2 + 3αy^2 - 4αxαy)(L^2)|ψ⟩`
This shows that `(L^2)|ψ⟩` is proportional to `(L^2)|ψ⟩`, which means that `(L^2)` is an eigenvalue of the operator `(L^2)` with eigenstate `|ψ⟩`. The eigenvalue is given by `(L^2) = ħ^2(3αx^2 + 3αy^2 - 4αxαy)`.
b. If we assume that `(Lz)|ψ⟩ = (Ly)|ψ> = 0`, then from part (a) above it follows that `(Ly)^2|ψ> = ħ^2(3ay^3-4axay+3az²)(Ly)^²|ψ>` and `(Lz)^2|ψ> = ħ^2(3az^3-4axaz+3ay²)(Lz)^²|ψ>`. Since `(Ly)^2|ψ> = (Lz)^2|ψ> = 0`, it follows that `3ay^3-4axay+3az² = 0` and `3az^3-4axaz+3ay² = 0`. Solving these equations simultaneously, we find that `ax = ay = az = 0`.
If we fix the value of `(L^2)`, then from part (a) above it follows that `(L^2) = ħ^2(3αx^2 + 3αy^2 - 4αxαy)`. Since `ax = ay = az = 0`, this equation reduces to `(L^2) = 0`.
To minimize `(Lx)^2 + (Ly)^2`, we must choose `αx` and `αy` such that the expression `3αx^2 + 3αy^2 - 4αxαy` is minimized. This can be achieved by setting `αx = -iαy`, where `αy` is an arbitrary complex number. In this case, the expression becomes `3αx^2 + 3αy^2 - 4αxαy = 6|αy|^2`, which has a minimum value of `0` when `αy = 0`.
c. If the conditions in part (b) are satisfied, then the state vector `|ψ⟩` can be written as a linear combination of eigenstates of the operator `(Lz)^2`. These eigenstates are of the form `|n⟩|m⟩|k⟩`, where `n`, `m`, and `k` are non-negative integers and `|n⟩`, `|m⟩`, and `|k⟩` are eigenstates of the number operator for the one-dimensional harmonic oscillator along each axis.
The action of the ladder operators on these states is given by:
`a_x|n⟩|m⟩|k⟩ = √n|n-1⟩|m⟩|k⟩`
`a_x†|n⟩|m⟩|k⟩ = √(n+1)|n+1⟩|m⟩|k⟩`
`a_y|n⟩|m⟩|k⟩ = √m|n⟩|m-1⟩|k⟩`
`a_y†|n⟩|m⟩|k⟩ = √(m+1)|n⟩|m+1⟩|k⟩`
`a_z|n⟩|m⟩|k⟩ = √k|n⟩|m⟩|k-1⟩`
`a_z†|n⟩|m⟩|k⟩ = √(k+1)|n⟩|m⟩|k+1⟩`
Since we have assumed that `(Lz)|ψ> = (Ly)|ψ> = 0`, it follows that:
`(Lz)|ψ> = iħ(a_xa_y† - a_x†a_y)|ψ> = iħ(∑_n,m,k c_nmk(a_xa_y† - a_x†a_y)|n>|m>|k>)`
`= iħ(∑_n,m,k c_nmk(√n√(m+1)|n-1>|m+1>|k> - √(n+1)√m |n+1>|m-1>|k>))`
`= iħ(∑_n,m,k (c_(n+1)(m+1)k√(n+1)√(m+1) - c_n(m-1)k√n√m)|n>|m>|k>)`
`= 0`
This implies that for all values of `n`, `m`, and `k`, we must have:
`c_(n+1)(m+1)k√(n+1)√(m+1) - c_n(m-1)k√n√m = 0`
Similarly, since `(Ly)|ψ> = 0`, it follows that:
`(Ly)|ψ> = iħ(a_xa_z† - a_x†a_z)|ψ> = iħ(∑_n,m,k c_nmk(a_xa_z† - a_x†a_z)|n>|m>|k>)`
`= iħ(∑_n,m,k c_nmk(√n√(k+1)|n-1>|m>|k+1> - √(n+1)
learn more about angular momentum
https://brainly.com/question/30656024
#SPJ11
An airplane is traveling 835 km/h in a direction 41.5 ∘west of north
Part A
Find the components of the velocity vector in the northerly and westerly directions.
Enter your answers using three significant figures separated by a comma.
vnorth, vwest = 625,533
km/h
SubmitMy AnswersGive Up
Completed
Part B
How far north and how far west has the plane traveled after 3.40 h ?
Enter your answers using three significant figures separated by a comma.
Δdnorth, Δdwest = km
SubmitMy AnswersGive Up
The plane traveled 2125 km north and 1812 km west after 3.40 hours.
To solve this problem, we need to break down the velocity vector into its northerly and westerly components. We can use trigonometry to do this. Let's call the northerly component "v north" and the westerly component "v west". We can find v north by multiplying the velocity (835 km/h) by the sine of the angle (41.5∘) between the velocity vector and the north direction. Similarly, we can find v west by multiplying the velocity by the cosine of the angle.
Using the trigonometric functions, we get:
v north = 835 km/h x sin(41.5∘) = 625 km/h
v west = 835 km/h x cos(41.5∘) = 533 km/h
Now, to find how far north and how far west the plane has traveled after 3.40 hours, we simply need to multiply the components by the time:
Δd north = v north x time = 625 km/h x 3.40 h = 2125 km
Δd west = v west x time = 533 km/h x 3.40 h = 1812 km
So the plane traveled 2125 km north and 1812 km west after 3.40 hours.
To know about velocity visit:
https://brainly.com/question/30559316
#SPJ11
1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"
Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.
To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.
The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).
Using the equation:
v = v₀ + at
where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:
v = 0 + (0.75 m/s²) * t
v = 0.75t m/s
The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:
v = ωr
Substituting the values:
0.75t = ω * 300
Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:
ω = ω₀ + αt
ω = 0 + (0.75 m/s²) * t
ω = 0.75t rad/s
We can now substitute the value of ω into the equation:
0.75t = (0.75t) * 300
Simplifying the equation gives:
0.75t = 225t
t = 0.75 seconds
The time elapsed is 0.75 seconds.
To calculate the distance traveled (s), we can use the equation:
s = v₀t + (1/2)at²
Since the initial velocity (v₀) is zero, the equation becomes:
s = (1/2)at²
s = (1/2)(0.75 m/s²)(0.75 s)²
s = (1/2)(0.75 m/s²)(0.5625 s²)
s = 0.2119 meters or approximately 21.19 centimeters
Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.
To know more about acceleration refer here:
https://brainly.com/question/30660316#
#SPJ11
A 250 cm wire carrying a current of 9.0 A is at right angles to a uniform magnetic field. The force acting on the wire is 1.20N . What is the strength of the magnetic field
Answer:
F = I L B describes the perpendicular force on a wire of length L in a uniform field B
B = F / (I L) = 1.2 / (9 * 2.5) = .053 Tesla
An object with a 25 µC charge is 0.54 m away from a second charged object. They experience a force of 3250 N. What is the charge on the second object?
Your answer
A balloon rubbed against denim gains a charge of −8.0 µC. What is the electric force between the balloon and the denim when the two are separated by a distance of 4.0 cm? (Assume that the charges are located at a point.) The value of the Coulomb constant is 8.98755 × 109 N · m2 /C 2 . Include direction of the force. Answer in units of N
The electric force between two charges can be calculated using Coulomb's law, which states that the force (F) between two charges (q1 and q2) separated by a distance (r) is given by:
F = (k * |q1 * q2|) /\(r^2\)
where k is the Coulomb constant.
In this case, the charge on the balloon is -8.0 µC and the charge on the denim is assumed to be positive, so q1 = -8.0 µC and q2 = +8.0 µC (equal in magnitude). The distance between the charges is 4.0 cm, or 0.04 m.
Plugging these values into Coulomb's law:
F = (8.98755 × 10^9 N · \(m^2/C^2\) * |(-8.0 µC) * (+8.0 µC)|) / (0.04 \(m)^2\)
Simplifying the expression inside the parentheses:
|(-8.0 µC) * (+8.0 µC)| = (8.0 µ\(C)^2\) = (8.0 × \(10^-^6 C)^2\) = 6.4 × \(10^-^1^1 C^2\)
Now substituting this value into the equation:
F = (8.98755 × \(10^9\) N · \(m^2/C^2\) * 6.4 × \(10^-^1^1 C^2\) / (0.04 \(m)^2\)
Calculating the numerator:
8.98755 × \(10^9\)N · \(m^2/C^2\)
* 6.4 × \(10^-^1^1 C^2\) = 5.751872 N · \(m^2\)
Calculating the denominator:
(0.04 \(m)^2\)= 0.0016\(m^2\)
Now dividing the numerator by the denominator:
F = 5.751872 N · \(m^2\)/ 0.0016\(m^2\)≈ 3594.92 N
Therefore, the electric force between the balloon and the denim, when separated by a distance of 4.0 cm, is approximately 3594.92 N. The force is attractive since the charges have opposite signs (negative and positive).
Learn more about force here:
brainly.com/question/30507236
#SPJ11
What is the frequency of ocean waves that have a speed of 18 m/s and wavelength of 50 m/s?
Answer:
What is the frequency of ocean waves that have a speed of 18 m/s and wavelength of 50 m/s?
0.36hz
The frequency of the wave is 0.36 Hz.
What is meant by frequency of a wave ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
Speed of the wave, v = 18 m/s
Wavelength of the wave, λ = 50 m
We know that, the equation for the speed of a wave is given as,
v = fλ
where f is the frequency of the wave.
Therefore, frequency,
f = v/λ
f = 18/50
f = 0.36 Hz
Hence,
The frequency of the wave is 0.36 Hz.
To learn more about frequency, click:
https://brainly.com/question/30333783
#SPJ2
in an experiment searching for the photoelectric effect, an incident beam of green light did not eject any electrons from a metal. in order to eject electrons, the experimenter should
Increase the frequency of the incident light. The photoelectric effect occurs when light of a sufficient frequency strikes a metal and frees electrons from the metal's surface. The energy of the incident photons must be greater than the energy required to remove the electrons, known as the work function. Thus, increasing the frequency of the incident light will result in higher energy photons, increasing the likelihood of electron ejection in the photoelectric effect.
The kinetic energy of the photoelectrons that are released will grow as the light amplitude increases, according to the wave model of light, yet the measured current will increase as the frequency increases. In contrast to expectations, studies revealed that raising the light's frequency and amplitude raised the current and the photoelectrons' kinetic energy, respectively.
For more questions like Photoelectric effect visit the link below:
https://brainly.com/question/28495644
#SPJ4
What should scientists do when they see that the data collection or analysis
from their experiment has limitations?
A. Describe the limitations in detail in their final report,
B. Repeat the experiment to see if it still has limitations,
C. Ignore the limitations when they draw conclusions,
D. Decide not to report any of the experimental results.
SUBMIT
Answer:
Describe the limitations in detail in their final report
Explanation:
just did test
Two point charges are separated by a certain distance. How does the strength of the electric field produced by the first charge, at the position of the second charge, change if the second charge is doubled?
Answer:
The field will remain the same
Explanation:
This is because electric field given as
E1= kq1/r²
And that of second charge
E² = kq2/r²
Is not affected by the size of the second charge q2
hen approaching a curve, it is best to: A. Search for possible collision traps and escape paths B. Stay close to the centerline if there is oncoming traffic C. Squeeze the clutch lever to slow down D. Shift to a higher gear
Squeezing the clutch lever to slow down is best to be done when approaching a curve and is denoted as option C.
What is Clutch?This is a mechanical device which used in the engagement and disengagement of transmission system in a vehicle.
Slowing down will give the driver more time to maneuver the curves so as to prevent accident. This is why it is imperative to squeeze the clutch in such road condition.
Read more about Clutch here https://brainly.com/question/14318041
#SPJ1
What do MRI and ultrasound have in common as diagnostic imaging techniques? Check all that apply.
What type of motion does this diagram represent?
Answer:
c
Explanation:
mark brainliest of your straight
Answer:
the answer is D
Explanation: