What career has to do with fossil fuels??

a proton of mass 1 u travelling with a speed of 3.6 x 10 ^4 m/s has an elastic head on collision with a helium nucleus initially

CaHeK987 [17]

Answer:

Velocity of the helium nuleus = 1.44x10⁴m/s

Velocity of the proton = 2.16x10⁴m/s

Explanation:

From the conservation of linear momentum of the proton collision with the He nucleus:

$P_{1i} + P_{2i} = P_{1f} + P_{2f]$ (1)

where $P_{1i}$ : is the proton linear momentum initial, $P_{2i}$ : is the helium nucleus linear momentum initial, $P_{1f}$ : is the proton linear momentum final, $P_{2f}$ : is the helium nucleus linear momentum final

From (1):

$m_{1}v_{1i} + 0 = m_{1}v_{1f} + m_{2}v_{2f}$ (2)

where m₁ and m₂: are the proton and helium mass, respectively, $v_{1i}$ and $v_{2i}$ : are the proton and helium nucleus velocities, respectively, before the collision, and $v_{1f}$ and $v_{2f}$ : are the proton and helium nucleus velocities, respectively, after the collision

By conservation of energy, we have:

$K_{1i} + K_{2i} = K_{1f} + K_{2f}$ (3)

where $K_{1i}$ and $K_{2i}$ : are the kinetic energy for the proton and helium, respectively, before the colission, and $K_{1f}$ and $K_{2f}$ : are the kinetic energy for the proton and helium, respectively, after the colission

From (3):

$\frac{1}{2}m_{1}v_{1i}^{2} + 0 = \frac{1}{2}m_{1}v_{1f}^{2} + \frac{1}{2}m_{2}v_{2f}^{2}$ (4)

Now we have two equations: (2) ad (4), and two incognits: $v_{1f}$ and $v_{2f}$ .

Solving equation (2) for $v_{1f}$ , we have:

$v_{1f} = v_{1i} -\frac{m_{2}}{m_{1}} v_{2f}$ (5)

From getting (5) into (4) we can obtain the $v_{2f}$ :

$v_{2f}^{2} \cdot (\frac{m_{2}^{2}}{m_{1}} + m_{2}) - 2v_{2f}v_{1i}m_{2} = 0$

$v_{2f}^{2} \cdot (\frac{(4u)^{2}}{1u} + 4u) - v_{2f}\cdot 2 \cdot 3.6 \cdot 10^{4} \cdot 4u = 0$

From solving the quadratic equation, we can calculate the velocity of the helium nucleus after the collision:

$v_{2f} = 1.44 \cdot 10^{4} \frac{m}{s}$ (6)

Now, by introducing (6) into (5) we get the proton velocity after the collision:

$v_{1f} = 3.6 \cdot 10^{4} -\frac{4u}{1u} \cdot 1.44 \cdot 10^{4}$

$v_{1f} = -2.16 \cdot 10^{4} \frac{m}{s}$

The negative sign means that the proton is moving in the opposite direction after the collision.

I hope it helps you!

7 0

4 years ago

The banyan tree is a multicellular organism with differentiated cells. describe how this organism's specialized parts have helpe

san4es73 [151]

Vascular tissue is responsible for transporting water and nutrients in plants.The Vascular tissue consists of the Xylem and the Phloem. The main function of the Xylem is to transport water and minerals throughout all parts of the plant. Phloem on the other hand is responsible for transporting organic molecules that are larger in size. The vascular system, consisting on the Xylem and the Phloem runs from the roots of the plats through the branches and upto the leaves. It controls the total transportation of the water and nutrients.
The long tubes that carry water and sugar from the leaves to the rest of the plat are known as phloem. The Xylem on the other hand carries water and small minerals from the root through the branches to the leaves for producing glucose and oxygen. The xylem and phloem are two most important parts of plants that are required for the survival of the plant. Water is mainly carried by the Xylem but some amount of water goes through the phloem for transporting the glucose that is manufactured. The process of photosynthesis is highly dependent on Xylem and Phloem.

7 0

3 years ago

the weight of a piece of stone when fully immersed in water is 18N and it displaces 4N of water. what is the weight of the stone

goldfiish [28.3K]

Answer:

4N

Explanation:

Given parameters:

Weight of stone when immersed in water = 18N

Weight of water displaced = 4N

Unknown:

Weight of the stone in air = ?

Solution:

To solve this problem, we employ the Archimedes' principles.

It states that the upward buoyant force on a body is equal to the weight of the fluid displaced.

The weight of the water displaced is equal to the weight of the body.

So, the weight of the stone in air = 4N

4 0

3 years ago

Describe the process of electricity generation and the efficiency and economics of it

Mrac [35]

Answer:

The process of producing electric energy or the amount of electric energy produced by transforming other forms of energy into electrical energy; commonly expressed in kilowatt-hours (kWh) or megawatt-hours (MWh). Electric power plant efficiency η is defined as the ratio between the useful electricity output from the generating unit, in a specific time, and the energy value of the energy source supplied to the unit in the same time period. For electricity generation based on steam turbines 65% of all prime energy is wasted as heat. The maximum theoretical energy efficiency is defined in more detail by the Rankine cycle. For modern practical systems this is about 40% but less for older generating plant. The efficiency falls still further if fuels with lower energy content such as biomass are used to supply the plant. The economics of power generation based on reciprocating engines depends to a large extent on the use to which the engine is to be put. The cheapest engines available are small petrol-driven engines based on car engines, which are manufactured in large numbers each year.

Explanation:

7 0

3 years ago

A solution has a pH of 8. Which best describes the solution?

harkovskaia [24]

Answer:

D

Explanation:

a weak base is the answer

4 0

3 years ago

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