Explanation:
Liquids also exert pressure in all directions on the walls of the container they are stored in. We see water coming out from leaking pipes and taps. ... Gases (Air) also exert pressure in all directions
Answer: Helium has 2 protons.
Answer:
23. 4375 m
Explanation:
There are two parts of the rocket's motion
1 ) accelerating (assume it goes upto h1 height )
using motion equations upwards
![s = ut+\frac{1}{2}*a*t^{2} \\h_1=0+\frac{1}{2}*5*2.5^{2} \\=15.625 m](https://tex.z-dn.net/?f=s%20%3D%20ut%2B%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E%7B2%7D%20%5C%5Ch_1%3D0%2B%5Cfrac%7B1%7D%7B2%7D%2A5%2A2.5%5E%7B2%7D%20%5C%5C%3D15.625%20m)
Lets find the velocity after 2.5 seconds (V1)
V = U +at
V1 = 0 +5*2.5 = 12.5 m/s
2) motion under gravity (assume it goes upto h2 height )
now there no acceleration from the rocket. it is now subjected to the gravity
using motion equations upwards (assuming g= 10m/s² downwards)
V²= U² +2as
0 = 12.5²+2*(-10)*h2
h2 = 7.8125 m
maximum height = h1 + h2
= 15.625 + 7.8125
= 23. 4375 m
Answer:
(i) The angular speed of the small metal object is 25.133 rad/s
(ii) The linear speed of the small metal object is 7.54 m/s.
Explanation:
Given;
radius of the circular path, r = 30 cm = 0.3 m
number of revolutions, n = 20
time of motion, t = 5 s
(i) The angular speed of the small metal object is calculated as;
![\omega = \frac{20 \ rev}{5 \ s} \times \frac{2 \pi \ rad}{1 \ rev} = \frac{40\pi \ rad}{5 \ s} = 8\pi \ rad/s = 25.133 \ rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B20%20%5C%20rev%7D%7B5%20%5C%20s%7D%20%5Ctimes%20%5Cfrac%7B2%20%5Cpi%20%5C%20rad%7D%7B1%20%5C%20rev%7D%20%3D%20%5Cfrac%7B40%5Cpi%20%5C%20rad%7D%7B5%20%5C%20s%7D%20%3D%208%5Cpi%20%5C%20rad%2Fs%20%3D%2025.133%20%5C%20rad%2Fs)
(ii) The linear speed of the small metal object is calculated as;
![v = \omega r\\\\v = 25.133 \ rad/s \ \times \ 0.3 \ m\\\\v = 7.54 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Comega%20r%5C%5C%5C%5Cv%20%3D%2025.133%20%5C%20rad%2Fs%20%5C%20%5Ctimes%20%5C%200.3%20%5C%20m%5C%5C%5C%5Cv%20%3D%207.54%20%5C%20m%2Fs)
Answer:
![\omega=0.12\frac{rad}{s}](https://tex.z-dn.net/?f=%5Comega%3D0.12%5Cfrac%7Brad%7D%7Bs%7D)
Explanation:
In a uniform circular motion, since a complete revolution represents 2π radians, the angular velocity, which is defined as the angle rotated by a unit of time, is given by:
![\omega=\frac{2\pi}{T}(1)](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B2%5Cpi%7D%7BT%7D%281%29)
Here T is the period, that is, the time taken to complete onee revolution:
![T=\frac{2\pi r}{v}(2)](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Cpi%20r%7D%7Bv%7D%282%29)
Replacing (2) in (1):
![\omega=\frac{2\pi}{\frac{2\pi r}{v}}=\frac{v}{r}\\\omega=\frac{19.1\frac{m}{s}}{158m}\\\omega=0.12\frac{rad}{s}](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B2%5Cpi%7D%7B%5Cfrac%7B2%5Cpi%20r%7D%7Bv%7D%7D%3D%5Cfrac%7Bv%7D%7Br%7D%5C%5C%5Comega%3D%5Cfrac%7B19.1%5Cfrac%7Bm%7D%7Bs%7D%7D%7B158m%7D%5C%5C%5Comega%3D0.12%5Cfrac%7Brad%7D%7Bs%7D)