Answer:
v1=18.46m/s
v2=29.8cm/s
Explanation:
We know that
![A=10cm\\T=2s](https://tex.z-dn.net/?f=A%3D10cm%5C%5CT%3D2s)
the equation of the motion is
![x=Acos(\omega t)\\](https://tex.z-dn.net/?f=x%3DAcos%28%5Comega%20t%29%5C%5C)
we can calculate w by using
![\omega=\frac{2\pi}{T}=\frac{2\pi}{2}=\pi](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B2%5Cpi%7D%7BT%7D%3D%5Cfrac%7B2%5Cpi%7D%7B2%7D%3D%5Cpi)
Hence, we have that
![x=10cm*cos(\pi t)\\](https://tex.z-dn.net/?f=x%3D10cm%2Acos%28%5Cpi%20t%29%5C%5C)
the speed will be
![v=-\omega*Asin(\omega t)\\|v(0.8)|=|\pi*10cm*sin(\pi *0.8)|=18.46\frac{cm}{s}\\|v(1.4)|=|\pi*10cm*sin(\pi *1.4)|=29.8\frac{cm}{s}](https://tex.z-dn.net/?f=v%3D-%5Comega%2AAsin%28%5Comega%20t%29%5C%5C%7Cv%280.8%29%7C%3D%7C%5Cpi%2A10cm%2Asin%28%5Cpi%20%2A0.8%29%7C%3D18.46%5Cfrac%7Bcm%7D%7Bs%7D%5C%5C%7Cv%281.4%29%7C%3D%7C%5Cpi%2A10cm%2Asin%28%5Cpi%20%2A1.4%29%7C%3D29.8%5Cfrac%7Bcm%7D%7Bs%7D)
hope this helps!
Answer:
The mass of the block, M =T/(3a +g) Kg
Explanation:
Given,
The upward acceleration of the block a = 3a
The constant force acting on the block, F₀ = Ma = 3Ma
The mass of the block, M = ?
In an Atwood's machine, the upward force of the block is given by the relation
Ma = T - Mg
M x 3a = T - Ma
3Ma + Mg = T
M = T/(3a +g) Kg
Where 'T' is the tension of the string.
Hence, the mass of the block in Atwood's machine is, M = T/(3a +g) Kg
Power = voltage(V) * current(I)
= 120 * 0.5
Power = 60 watts
Gravitational attraction / field strength increases when closer; A light dependent resistor (LDR) can be used as a sensor to detect light intensity.
Answer:
3050.6 Litre .
Explanation:
Total time of heart beat = Total time of race = 2 hrs , 39 minutes and 54 seconds
= 2 x 60 + 39 + 54/60 min
= 120 + 39 + .9 min
= 159.9 min
rate of heart beat = 170 per min
Total no of heart beat during race = 170 x 159.9
volume of blood per kg per beat = 2.5 mL per kg of weight
body weight = 99 pounds = .4535 x 99 kg = 44.89 kg
volume of blood per beat = 2.5 mL x 44.89 mL
= 112.225 mL .
Total required volume of blood = 112.225 x 170 x 159.9 mL
= 3050612 mL
= 3050.6 L.