Density = mass / volume
So density =567.5/50 = 11.35 g/cm3.
Because plants have to use cyanobacteria during photosynthesis so they could not survive before the cyanobacteria started producing oxygen
Their inferences are based on evidence that they collect during their investigations. Readers learn that scientists gather and interpret evidence and draw conclusions based on this evidence. ... Once scientists have gathered evidence, they use it to make inferences about the things they are investigating.
The given question is incomplete. The complete question is as follows.
The block has a weight of 75 lb and rests on the floor for which
= 0.4. The motor draws in the cable at a constant rate of 6 ft/sft/s. Neglect the mass of the cable and pulleys.
Determine the output of the motor at the instant
.
Explanation:
We will consider that equilibrium condition in vertical direction is as follows.
![\sum F_{y} = 0](https://tex.z-dn.net/?f=%5Csum%20F_%7By%7D%20%3D%200)
N - W = 0
N = W
or, N = 75 lb
Again, equilibrium condition in the vertical direction is as follows.
![\sum F_{x} = 0](https://tex.z-dn.net/?f=%5Csum%20F_%7Bx%7D%20%3D%200)
= 0
![T_{2} = \mu_{k} N](https://tex.z-dn.net/?f=T_%7B2%7D%20%3D%20%5Cmu_%7Bk%7D%20N)
= ![0.4 \times 75 lb](https://tex.z-dn.net/?f=0.4%20%5Ctimes%2075%20lb)
= 30 lb
Now, the equilibrium equation in the horizontal direction is as follows.
![\sum F_{x} = 0](https://tex.z-dn.net/?f=%5Csum%20F_%7Bx%7D%20%3D%200)
![T Cos (30^{o}) + T Cos (30^{o}) = T_{2}](https://tex.z-dn.net/?f=T%20Cos%20%2830%5E%7Bo%7D%29%20%2B%20T%20Cos%20%2830%5E%7Bo%7D%29%20%3D%20T_%7B2%7D)
![2T Cos (30^{o}) = T_{2}](https://tex.z-dn.net/?f=2T%20Cos%20%2830%5E%7Bo%7D%29%20%3D%20T_%7B2%7D)
or, T = ![\frac{T_{2}}{2 Cos (30^{o})}](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7B2%7D%7D%7B2%20Cos%20%2830%5E%7Bo%7D%29%7D)
= ![\frac{30}{2 Cos (30^{o})}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B2%20Cos%20%2830%5E%7Bo%7D%29%7D)
= ![\frac{30}{1.732}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B1.732%7D)
= 17.32 lb
Now, we will calculate the output power of the motor as follows.
P = Tv
= ![17.32 lb \times 6](https://tex.z-dn.net/?f=17.32%20lb%20%5Ctimes%206)
= ![103.92 \times \frac{1}{550} \times \frac{hp}{ft/s}](https://tex.z-dn.net/?f=103.92%20%5Ctimes%20%5Cfrac%7B1%7D%7B550%7D%20%5Ctimes%20%5Cfrac%7Bhp%7D%7Bft%2Fs%7D)
= 0.189 hp
or, = 0.2 hp
Thus, we can conclude that output of the given motor is 0.2 hp.
If it's volume changes when you move it to the new container it would be a solid