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STALIN [3.7K]
3 years ago
7

hovering mosquito is hit by a raindrop that is 45 times as massive and falling at 8.1 m/s , a typical raindrop speed. How fast i

s the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic? Express your answer with the appropriate units.
Physics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer:

7.92 m/s

Explanation:

m_1 = Mass of raindrop = 45m_2

m_2 = Mass of mosquito

u_1 = Initial Velocity of raindrop = 8.1 m/s

u_2 = Initial Velocity of mosquito = 0 m/s

v = Velocity of center of mass

For elastic collision

m_1u_1 + m_2u_2 =(m_1 + m_2)v\\\Rightarrow v=\frac{m_1u_1 + m_2u_2}{m_1 + m_2}\\\Rightarrow v=\frac{45m_2\times 8.1 + m_2\times 0}{45m_2 + m_2}\\\Rightarrow v=\frac{364.5m_2}{46m_2}\\\Rightarrow v=7.92\ m/s

Hence, the velocity of the attached mosquito, falling immediately afterward is 7.92 m/s

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The safest option in the lab if one need your vision to be corrected is  wear corrective glasses or lenses under your safety goggles for the whole experiment, but always check with your ta or instructor for your school's policy.

<h3>What are safety goggles?</h3>

When someone is performing any project in the chemistry lab, he needs to be extra care taken by himself and and the most importantly from the school. The safety goggles are used to protect the eyes from any spiling off the chemical.

One should wear corrective glasses under the safety goggles during the whole experiment.

Thus, wear corrective glasses under the safety goggles during the whole experiment.

Learn more about safety goggles

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3 0
2 years ago
A series RC circuit contains two resistors and two capacitors. The resistors are 39 ohms and 56 ohms. The capacitors have capaci
Nataly [62]

Answer:

The  correct option is b

Explanation:

From the question we are told that

    The resistance of the first resistor is  R_1 =  39 \ \Omega

     The resistance of the second resistor is  R_2 =  56 \  \Omega

      The capacitive reactance of the first capacitor is jX_{c_1 }  =  80 \ \Omega

       The capacitive reactance of the first capacitor is jX_{c_2 }  =  40 \ \Omega

Generally given that the resistors are connected in parallel , their equivalent resistance is  

            R_e =  R_1 +R_2

=>         R_e = 39 + 56

=>         R_e = 95 \  \Omega

Generally given that the capacitors are connected in parallel , their equivalent capacitive reactance  is  

          jX_e =  jX_{c_1} +  jX_{c_2}

=>       jX_e = 80 + 40

=>       jX_e = 120

Hence the impedance of the circuit is  

         Z =  R_e - jX_e        

=>      Z = 95  -  j120          

Generally from the impedance equation , the total used resistance is  

       R_e =  95 \  \Omega

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3 years ago
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8_murik_8 [283]

Answer:

I would say that I agree with the one that said that each hill must be lower than the previous one and use the principle of conservation of energy to explain.

Explanation:

Roller coaster are usually designed such that its total energy remains conserved at any point on the track. Now,  the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. At certain height on the track, the total energy of the roller coaster is in form of potential energy, which gets converted to kinetic energy as soon as it starts sliding down the hill till get to the hill's endpoint where it has maximum kinetic energy. The cycle of sliding from a high point on the track to a low point on the track means there is potential energy is converted to kinetic energy and kinetic energy then converts back to potential energy and the cycle continues.

However, due to the effect of gravity and frictional force between the track and the coaster, the energy of the coaster is gradually reduces, so it becomes a bit difficult for the coaster to move to the next hill of the same height. It is for this reason that each hill must be lower than the previous one, so that the coaster can overcome the next hill's height with its reduced energy until it loses all its energy and comes to a stop.

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Oksana_A [137]

Answer:

The displacements are not equal. While their direction is the same, their length (i.e., distance or magnitude) is not. A is longer than B.

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correct on e2020- sample respnse

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