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A block of inertia m is placed on an inclined plane that makes an angle θ with the horizontal. The block is given a shove direct

Wittaler [7]

Answer:

A) d = v² / (2g (μ cos θ + syn θ) B) μ = tan θ

Explanation:

Part A

We can work this part with the work and energy theorem, where the work of the friction forces is equal to the energy change of the system.

The work is

W = fr .d

With the force of friction it opposes the movement

W = - fr d

The energy at the lowest point is

Em₀ = K = ½ m v²

The energy at the highest point

$Em_{f}$ = U = m g y

The height (y) can be found by trigonometry

sin θ = y / d

y = d sin θ

W = $Em_{f}$ –Em₀

-fr d = mg d sin θ - ½ m v²

The equation for the force of friction is

fr = μ N

From Newton's second law

N - W cos Te = 0

We replace

-μ (mg cos θ) d - mg d sin θ = - ½ m v²

d g (μ cos θ + sin θ) = ½ v²

d = v² / (2g (μ cos θ + syn θ)

Part B

The block is stopped, what is the Angle tet, let's use Newton's second law

fr - W sin θ = 0 ⇒ fr = W sin θ

N - W cos θ= 0 ⇒ N = w cos θ

fr = μ N

μ (mg cos θ) = mg syn θ

μ = syn θ / cos θ

μ = tan θ

7 0

3 years ago

An unknown radioactive element decays with a half life of 0.210 days. What is the decay constant, expressed in 1/microseconds, f

sergeinik [125]

The amount of a radioactive element over time can be written as:

$N=N_0e^{-\lambda t}$

So, considering that we know the time of its half life, we know how long it takes to get to half the original amount. This is (usint the amount of days in microseconds):

$0.5=1*e^{-\lambda *0.21*24*3600*10^6}\Rightarrow0.5=e^{-1.8144*10^{10}*\lambda}$ $ln(0.5)=-1.8144*10^{10}*\lambda\Rightarrow\lambda=\frac{ln(0.5)}{-1.8144*10^{10}}=3.82*10^{-11}$

Thus, lambda=3.82*10^(-11)/microseconds

3 0

2 years ago

What does a branching tree diagram show? The evolution in the size of organisms The order in which specific traits may have evol

Anarel [89]

Answer:

a) Species change over time; some traits become more common, others less. This process of change is driven by natural selection. The traits that become more common are the ones that are “adaptive” or “increase fitness” (that is, a creature's chances of living longer and producing more offspring)

Explanation:

because it is

8 0

4 years ago

The wavelength of the light produced by the laser is determined by the:

babunello [35]

C

The wavelength of the light produced by the laser is determined by the Composition of the active medium

Explanation:

As stipulated by Bohr's theory, different atoms have different and unique absorption and emission spectra that can also be used to identify them. The electrons of the atoms when excited (the enter an inversion state), using specific photons of electromagnetic waves, they move up energy levels. When the electrons move back to their ground state, they release the same wavelength of photons. The photos then excite other atoms and the amplification continues. Therefore the lasing medium is the main determinant of the wavelength of the laser beam.

For example, the use of argon fluoride as an active medium produces lasers of 193 nm in wavelength and the use of nitrogen produces laser of

Learn More:

For more on lasers check out;

brainly.com/question/1917990

brainly.com/question/368820

#LearnWithBrainly

3 0

3 years ago

The chemical equation below shows that hydrogen and oxygen chemically react to form water.

shutvik [7]

Answer:

D

Explanation:

Hydrogen, oxygen, and water are pure substances that each have different properties.

Although the 3 of them are pure substances, but they nonetheless have different properties. These properties could either be their physical properties, or their chemical properties. This is particularly so because since Oxygen and Hydrogen the major components in water have different properties, it is only right if their product, water, has different properties also.

7 0

3 years ago

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