A solid, horizontal cylinder of mass 18.0 kg and radius 1.70.0 m rotates with an angular speed of 40 rad/s about a fixed vertical axis through its center. A 0.8 kg piece of putty is dropped vertically onto the cylinder at a point 0.300 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.
Answers
Answer:39.88 rad/s
Explanation:
Given
mass of cylinder m_1=18 kg
radius R=1.7 m
angular speed
mass of dropped at r=0.3 m from center
let be the final angular velocity of cylinder
Conserving Angular momentum
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Which element has a larger atomic number than silver (Ag)? Pd Cu Ni Hg
Which of the following correctly describes a solenoid? A) The magnetic field around a solenoid is unipolar. B) The field around a solenoid is termed a bar magnet. C) A solenoid is created by winding current carrying wire into a coil. D) Increasing the current in the wires will reduce the magnetic field outside of the solenoid.
Is electron positive
Tony walks at an average speed of 70 m/min from his home toschool. If the distance between his home and the school is2100 m, how much time does it take for Tony to walk toschool?min
The grass did not exert an action force.
The grass shortens the time of the collision.
The grass extends the time of the collision.
Answers
Answer : Because the grass extends the time of the collision.
Explanation :
Denise is riding her bike and falls to the ground. During the collision, she hits both grass and cement.
He had fewer injuries to the area of her body that hit the grass because the grass extends the time of the collision and hence it imparts less impulse.
i.e.
Where
F is the force
t is the time of collision
Hence, the correct option is (d) " The grass extends the time of the collision ".
Answers
Answers
PV/T
Given:
P1 = 1.9 atm
V1 = 24.6 L
T1 = 335 K
P2 = 3.5 atm
V2 = 31.3 L
T2 = ?
Substituting the given:
P1V1/T1 = P2V2/T2
(1.9 * 24.6)/335 = (3.5 * 31.3)/T2
T2 = 785.18 K
Answers
Phi = BAsin(theta)
1. Phi(i) = BA
2. Phi(f) = 0
3. EMF = N(phi(i)-phi(f))/deltat
Here are the follow-up questions:
1. What is the total magnitude Phi_initial of the magnetic flux through the coil before it is rotated?
2. What is the magnitude Phi_final of the total magnetic flux through the coil after it is rotated?
3. What is the magnitude of the average emf induced in the coil?
Answers
Answer:
655 nm
Explanation:
When the intereference is destructive then the thickness, d of antireflective film coating one side is given by
2d=w/2n
Where w is wavelength and n is the reflective index of the film
Making w the subject of formula then
w=4nd
Substituting 1.25 for n and 131 nm for d then the wavelength will be
w=4*1.25*131=655 nm
Therefore, the wavelength is equivalent to 655 nm
The formula for calculating the wavelength in an antireflective film involves thickness (d) and refractive index (n). For n = 1.25 and d = 131 nm, the resulting wavelength is 655 nm.
When light waves encounter a thin film, some of the waves are reflected from the top surface of the film, and some pass through it. These waves can interfere with each other, leading to constructive or destructive interference. In the case of antireflective coatings, destructive interference is desired to minimize reflection.
The formula you mentioned is used to calculate the thickness (d) of an antireflective film that results in destructive interference for a specific wavelength (w) of light. The formula is:
2d = w / (2n)
Where:
d is the thickness of the film.
w is the wavelength of light.
n is the refractive index of the film.
To find the wavelength (w) when given the thickness (d) and refractive index (n), you can rearrange the formula:
w = 4 * n * d
Now, let's calculate the wavelength using the provided values:
n = 1.25 (refractive index)
d = 131 nm (thickness in nanometers)
Substitute these values into the formula:
w = 4 * 1.25 * 131 = 655 nm
Therefore, the calculated wavelength (w) is 655 nanometers (nm). This means that for a film with a refractive index of 1.25 and a thickness of 131 nm, destructive interference occurs at a wavelength of 655 nm.
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Answers
Final answer:
The final velocity of the car can be found using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in the given values, we find that the car will be traveling at 24 m/s at 6 seconds.
Explanation:
To find the final velocity of a car accelerating at a constant rate, we can use the equation:
v = u + at
Where:
v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration (4.0 m/s²), and t is the time (6 seconds).
Plugging in the values, we get:
v = 0 + (4.0 m/s²)(6s) = 24 m/s
Therefore, the car will be traveling at 24 m/s at 6 seconds.
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