Answer:150 N
Explanation:
Given
Force applied at one end of lever is ![F_1=50\ N](https://tex.z-dn.net/?f=F_1%3D50%5C%20N)
Distance moved is ![d_1=d](https://tex.z-dn.net/?f=d_1%3Dd)
Distance moved on other end is ![d_2=\frac{d}{3}](https://tex.z-dn.net/?f=d_2%3D%5Cfrac%7Bd%7D%7B3%7D)
work done by the force is given by
![W=F\cdot d](https://tex.z-dn.net/?f=W%3DF%5Ccdot%20d)
![W=F_1\cdot d_1=F_2\cdot d_2](https://tex.z-dn.net/?f=W%3DF_1%5Ccdot%20d_1%3DF_2%5Ccdot%20d_2)
![F_2=\frac{d_1}{d_2}\cdot F_1](https://tex.z-dn.net/?f=F_2%3D%5Cfrac%7Bd_1%7D%7Bd_2%7D%5Ccdot%20F_1)
![F_2=\frac{3d}{d}\cdot 50](https://tex.z-dn.net/?f=F_2%3D%5Cfrac%7B3d%7D%7Bd%7D%5Ccdot%2050)
![F_2=150\ N](https://tex.z-dn.net/?f=F_2%3D150%5C%20N)
Answer:
a) 482.5N
b) 17.4N
Explanation:
40 rev/min = 40 * 2π / 60 = 4.2 rad/s
3 rev/min = 3 * 2π / 60 = 0.314 rad/s
The centripetal acceleration that the child is subjected to
![a = \omega^2r](https://tex.z-dn.net/?f=a%20%3D%20%5Comega%5E2r)
And their centripetal force is
![f = ma = m\omega^2r](https://tex.z-dn.net/?f=f%20%3D%20ma%20%3D%20m%5Comega%5E2r)
From here we can plug the number in
(a) ![f_1 = m\omega_1^2r_1 = 22*4.2^2*1.25 = 482.5N](https://tex.z-dn.net/?f=f_1%20%3D%20m%5Comega_1%5E2r_1%20%3D%2022%2A4.2%5E2%2A1.25%20%3D%20482.5N)
(b) ![f_2 = m\omega_2^2r_2 = 22*0.314^2*8 = 17.4N](https://tex.z-dn.net/?f=f_2%20%3D%20m%5Comega_2%5E2r_2%20%3D%2022%2A0.314%5E2%2A8%20%3D%2017.4N)
No spacecraft has been built yet that was able to absorb harmful
radiations in space, change weather conditions on Earth, or destroy
meteors and comets which might strike Earth.
We should continue to send robotic spacecrafts into space
because they help discard some myths about objects in space.
In other words, they help us learn things that we never knew before.
Entropy tends to increase. Apex