Answer:879.29 N-m
Explanation:
Given
mass of first child ![m_1=44 kg](https://tex.z-dn.net/?f=m_1%3D44%20kg)
distance of first child from tree is ![r_1=1 m](https://tex.z-dn.net/?f=r_1%3D1%20m)
tree is inclined at an angle of ![\theta =27^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D27%5E%7B%5Ccirc%7D)
mass of second child ![m_1=27 kg](https://tex.z-dn.net/?f=m_1%3D27%20kg)
distance of second child from tree is ![r_2=2.1 m](https://tex.z-dn.net/?f=r_2%3D2.1%20m)
Weight of first child![=m_1g=431.2 kg](https://tex.z-dn.net/?f=%3Dm_1g%3D431.2%20kg)
Weight of second child![=m_2g=264.6 kg](https://tex.z-dn.net/?f=%3Dm_2g%3D264.6%20kg)
Torque of first child weight![=m_1g\cos \theta \cdot r_1](https://tex.z-dn.net/?f=%3Dm_1g%5Ccos%20%5Ctheta%20%5Ccdot%20r_1)
![T_1=44\times 9.8\times \cos 27\times 1=384.202 N-m](https://tex.z-dn.net/?f=T_1%3D44%5Ctimes%209.8%5Ctimes%20%5Ccos%2027%5Ctimes%201%3D384.202%20N-m)
Torque of second child weight![=m_2g\cos \theta \cdot r_2](https://tex.z-dn.net/?f=%3Dm_2g%5Ccos%20%5Ctheta%20%5Ccdot%20r_2)
![T_2=27\times 9.8\times \cos 27\times 2.1=495.096 N-m](https://tex.z-dn.net/?f=T_2%3D27%5Ctimes%209.8%5Ctimes%20%5Ccos%2027%5Ctimes%202.1%3D495.096%20N-m)
Net torque ![T_{net}=T_1+T_2=384.202+495.096=879.29 N-m](https://tex.z-dn.net/?f=T_%7Bnet%7D%3DT_1%2BT_2%3D384.202%2B495.096%3D879.29%20N-m)
Answer:
Paintball is a competitive team shooting sport in which players eliminate opponents from play by hitting them with spherical dye-filled gelatin capsules called paintballs that break upon impact. Paintballs are usually shot using low-energy air weapons called paintball markers that are powered by compressed air (nitrogen) or carbon dioxide and were originally designed for remotely marking trees and cattle
Graviton theory also accounts for differences in gravitational attraction over distances. Most gravitons exist in a cloud around the object. As distance from the object increases, the density of the graviton cloud goes down, so there is less gravitational attraction.<span>The strength of the </span>gravitational force<span> between two objects depends on two factors, </span>mass<span> and </span>distance<span>. the </span>force<span> of </span>gravity<span> the </span>masses<span> exert on each other. If one of the </span>masses<span> is doubled, the </span>force<span> of </span>gravity <span>between the objects is doubled. increases, the </span>force<span> of </span>gravity <span>decreases.</span>
Answer:
0.0389 cm
Explanation:
The current density in a conductive wire is given by
![J=\frac{I}{A}](https://tex.z-dn.net/?f=J%3D%5Cfrac%7BI%7D%7BA%7D)
where
I is the current
A is the cross-sectional area of the wire
In this problem, we know that:
- The fuse melts when the current density reaches a value of
![J=520 A/cm^2](https://tex.z-dn.net/?f=J%3D520%20A%2Fcm%5E2)
- The maximum limit of the current in the wire must be
I = 0.62 A
Therefore, we can find the cross-sectional area that the wire should have:
![A=\frac{I}{J}=\frac{0.62}{520}=1.19\cdot 10^{-3} cm^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7BI%7D%7BJ%7D%3D%5Cfrac%7B0.62%7D%7B520%7D%3D1.19%5Ccdot%2010%5E%7B-3%7D%20cm%5E2)
We know that the cross-sectional area can be written as
![A=\pi \frac{d^2}{4}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5Cfrac%7Bd%5E2%7D%7B4%7D)
where d is the diameter of the wire.
Re-arranging the equation, we find the diameter of the wire:
![d=\sqrt{\frac{4A}{\pi}}=\sqrt{\frac{4(1.19\cdot 10^{-3})}{\pi}}=0.0389 cm](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cfrac%7B4A%7D%7B%5Cpi%7D%7D%3D%5Csqrt%7B%5Cfrac%7B4%281.19%5Ccdot%2010%5E%7B-3%7D%29%7D%7B%5Cpi%7D%7D%3D0.0389%20cm)
Before entering the closed room, the cert members should assess
the situation first. They should gather information in order to determine if it’s
safe to go or if needed assistance to the current situation. They should consider some probabilities
before they establish the decision and take an action. Especially to the current situation where there is a possibility that the smoke that they smell is coming from the room and the reason may be because there is a fire. Assessing the situation before taking an action immediately is a must, in order to prevent further harm.