Ann (mass 50 kg) is standing at the left end of a 15-m-long, 500 kg cart that has frictionless wheels and rolls on a frictionless track. Initially both Ann and the cart are at rest. Suddenly, Ann starts running along the cart at a speed of 5.0m/srelative to the cart.How far will Ann have run relative to the ground when she reaches the right end of the cart?
Express your answer with the appropriate units.
Answers
Answer:
13.5 m
Explanation:
M = Mass of cart = 500 kg
m = Ann's mass = 50 kg
= Velocity of Ann relative to cart = 5 m/s
= Velocity of Cart relative to Ann
As the linear momentum of the system is conserved
Time taken to reach the right end by Ann
Distance the cart will move in the 3 seconds
The negative sign indicates opposite direction
Movement of Ann will be the sum of the distances
The net movement of Ann is 13.5 m
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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.
For more such information on: wavelength
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The volts have decreased.
The power has increased.
Answers
If energy input remains constant and voltage remains the same in a circuit, but the current decreases, the power has increased. It is presented in the equation P = VI where P is power, V is voltage and I is current.
Answers
Comparison:
1. Speed: You can compare the speeds of the carts to determine which one is moving the fastest and which one is the slowest.
2. Direction: Compare the directions in which the carts are moving. Are they all moving in the same direction, or are some moving in opposite directions?
3. Acceleration: Consider if any of the carts are accelerating (changing their speed) and in which direction.
Contrast:
1. Speed: Highlight the differences in speed between the carts. For example, Cart A may be moving slowly, while Cart B is moving quickly.
2. Direction: Discuss any differences in direction. Are some carts moving forward while others are moving backward or in different angles?
3. Acceleration: Note if any of the carts are accelerating differently. For instance, Cart C might be accelerating rapidly while Cart A maintains a constant speed.
To provide a more detailed comparison and contrast, it would be helpful to have specific information about the motion of each cart, such as their speeds, directions, and accelerations.
Answers
The second law of thermodynamics states that whenever energy changes occur, DISORDER always increases.
Final answer:
The Second Law of Thermodynamics states that entropy, which represents the disorder or randomness in a system, always increases when energy changes occur. An example would be heat dispersing from a hot drink into the environment.
Explanation:
The Second Law of Thermodynamics states that whenever energy changes occur, entropy always increases. Entropy refers to the degree of disorder or randomness in a system. Thus, the law is essentially asserting that natural processes tend towards chaos or disorder. For example, if we consider a cup of hot coffee left on a table, with time, the heat (energy) from the coffee disperses into the surrounding environment, leading to an increase in entropy. This concept applies universally in closed systems, where energy cannot enter or leave.
Learn more about Second Law of Thermodynamics here:
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Answers
Answer:
Option (D)
Explanation:
There are two types of materials.
1. Conductors: The materials which can allow the heat to pass through it are called conductors. For example, iron, copper, etc.
2. Insulators: The materials which do not heat to pass through it are called insulators. For example, plastic, wood, rubber, etc.
Here plastic handle does not feel hot because it is an insulator and it does not allow to pass the heat through it.
b. False