"Midnight" means looking away from the Sun. But in 6 months from April to October the earth goes halfway around the Sun. So midnight in April and midnight in October are exactly opposite directions.
Answer:
The force of gravity exerts a downward force. The floor exerts an upward force. Since these two forces are of equal magnitude and in opposite directions, they balance each other.
The answer is distressing
Answer:
7 meters, 2.8 meters
Explanation:
work done (nm) = force (n) * distance (m)
140= 20 * m
140/20 = m
m=7 meters
140= 50 * m
140/50 = m
m= 2.8 meters
Answer:
(A) It will take 22 sec to come in rest
(b) Work done for coming in rest will be 0.2131 J
Explanation:
We have given the player turntable initially rotating at speed of ![33\frac{1}{3}rpm=33.333rpm=\frac{2\times 3.14\times 33.333}{60}=3.49rad/sec](https://tex.z-dn.net/?f=33%5Cfrac%7B1%7D%7B3%7Drpm%3D33.333rpm%3D%5Cfrac%7B2%5Ctimes%203.14%5Ctimes%2033.333%7D%7B60%7D%3D3.49rad%2Fsec)
Now speed is reduced by 75 %
So final speed ![\frac{3.49\times 75}{100}=2.6175rad/sec](https://tex.z-dn.net/?f=%5Cfrac%7B3.49%5Ctimes%2075%7D%7B100%7D%3D2.6175rad%2Fsec)
Time t = 5.5 sec
From first equation of motion we know that '
![\alpha =\frac{\omega -\omega _0}{t}=\frac{2.6175-3.49}{4}=-0.158rad/sec^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cfrac%7B%5Comega%20-%5Comega%20_0%7D%7Bt%7D%3D%5Cfrac%7B2.6175-3.49%7D%7B4%7D%3D-0.158rad%2Fsec%5E2)
(a) Now final velocity ![\omega =0rad/sec](https://tex.z-dn.net/?f=%5Comega%20%3D0rad%2Fsec)
So time t to come in rest ![t=\frac{0-3.49}{-0.158}=22sec](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B0-3.49%7D%7B-0.158%7D%3D22sec)
(b) The work done in coming rest is given by
![\frac{1}{2}I\left ( \omega ^2-\omega _0^2 \right )=\frac{1}{2}\times 0.035\times (0^2-3.49^2)=0.2131J](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DI%5Cleft%20%28%20%5Comega%20%5E2-%5Comega%20_0%5E2%20%5Cright%20%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%200.035%5Ctimes%20%280%5E2-3.49%5E2%29%3D0.2131J)