You are dealing with pulleys?
can be done with addition of the two equations to eliminate T.
![(2^{*}) \quad {} -m_1 g \cos \theta + T = m_1 a _2](https://tex.z-dn.net/?f=%282%5E%7B%2A%7D%29%20%5Cquad%20%7B%7D%20-m_1%20g%20%5Ccos%20%5Ctheta%20%2B%20T%20%3D%20m_1%20a%20_2)
+
![(4^{*}) \quad 3m_1 g - T = 3m_1 a_2](https://tex.z-dn.net/?f=%284%5E%7B%2A%7D%29%20%5Cquad%203m_1%20g%20-%20T%20%3D%203m_1%20a_2%20)
=
![(-m_1 g \cos\theta + 3m_1 g) + (T - T) = m_1 a _2 + 3m_1 a_2 \implies \\ \\ (-m_1 g \cos\theta + 3m_1 g) = 4m_1 a_2 \implies \\ \\ m_1(- g \cos\theta + 3g)= 4m_1 a_2](https://tex.z-dn.net/?f=%28-m_1%20g%20%5Ccos%5Ctheta%20%20%2B%20%203m_1%20g%29%20%2B%20%28T%20-%20T%29%20%3D%20m_1%20a%20_2%20%2B%203m_1%20a_2%20%5Cimplies%20%5C%5C%20%5C%5C%0A%28-m_1%20g%20%5Ccos%5Ctheta%20%20%2B%20%203m_1%20g%29%20%3D%204m_1%20a_2%20%5Cimplies%20%5C%5C%20%5C%5C%0Am_1%28-%20g%20%5Ccos%5Ctheta%20%20%2B%20%203g%29%3D%204m_1%20a_2%20)
we can cancel m₁ by dividing both sides by it, assuming mass is not zero
![(- g \cos\theta + 3g)= 4a_2 \implies \\ \\ a_2 = \dfrac{- g \cos\theta + 3g}{4} \\ \\ a_2 = \dfrac{- 9.80 \cos 60 + 3(9.80)}{4} \\ \\ a_2 = 6.125 \text{m/s}^2 ](https://tex.z-dn.net/?f=%28-%20g%20%5Ccos%5Ctheta%20%2B%203g%29%3D%204a_2%20%5Cimplies%20%5C%5C%20%5C%5C%0Aa_2%20%3D%20%5Cdfrac%7B-%20g%20%5Ccos%5Ctheta%20%2B%203g%7D%7B4%7D%20%5C%5C%20%5C%5C%0Aa_2%20%3D%20%5Cdfrac%7B-%209.80%20%20%5Ccos%2060%20%2B%203%289.80%29%7D%7B4%7D%20%5C%5C%20%5C%5C%0Aa_2%20%3D%206.125%20%5Ctext%7Bm%2Fs%7D%5E2%0A)
a₂ = 6.125 m/s² ( do significant digits if you need to)
<span>Magnetic field lines form circles that go around the wire.</span>
Answer:
No force acts on it. It will not be pushed.
Explanation:
The proton moving in the -X direction implies its velocity is in the -X direction and the magnetic field is given to be in the +X direction. So the angle between them is 180 degrees. So no force acts on the proton, since the velocity and magnetic field are anti parallel.
Magnetic force is given by the equation F = q v B sin theta where theta is the angle between the velocity and the magnetic field. This force will be a maximum if they are perpendicular to each other.
1. H2O- The water completely dissolved the salt.
Alcohol- The alcohol dissolved the salt slightly.
Glycerin-The salt has not dissolved at all.
2. Water
3. Like dissolve like basically works on the principle of polarity. It means the substances which possess similar chemical properties may dissolve in each other. For example, ethanol can be dissolved in water because both are polar in nature whereas non-polar molecules can be dissolved in non-polar solvents only.
4. Generally, a solute dissolves faster in a warmer solvent than it does in a cooler solvent because particles have more energy of movement. For example, if you add the same amount of sugar to a cup of hot tea and a cup of iced tea, the sugar will dissolve faster in the hot tea.
Learn more about The choice of solvent here:-brainly.com/question/14918321
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Answer:
m = 68,486,6 g is the answer.
Explanation:
To calculate mass you use formula:
m= V*r
To avoid remembering this formula you can see the type of unit on each given variable. We can see that we have g/cm^3 and cm^3. If we multiply them, we negate cm^3 and cm^3 and we are left with g which is unit for mass.
Hope I helped! ☺