Answer:
(a) 3107.98 J
(b) 14530.6 J
Explanation:
mass, m = 3.56 kg
angular speed, ω = 179 rad/s
Moment of inertia of solid cylinder, I = 1/2 mr^2
where, m is the mass and r be the radius of the cylinder.
(a) radius, r = 0.330 m
I = 0.5 x 3.56 x 0.330 x 0.330 = 0.194 kgm^2
The formula for the rotational kinetic energy is given by
K = 0.5 x 0.194 x 179 x 179 = 3107.98 J
(b) radius, r = 0.714 m
I = 0.5 x 3.56 x 0.714 x 0.714 = 0.907 kgm^2
The formula for the rotational kinetic energy is given by
K = 0.5 x 0.907 x 179 x 179 = 14530.6 J
Answer:
Explanation:
At the topmost position, the car does not have zero velocity but it has velocity of v so that
v² /r = g or centripetal acceleration should be equal to g ( 9.8 )
Considering that, the car must fall from a height of 2r + h where
mgh = 1/2 mv²
= 1/2 m gr
So h = r/2
Hence the ball must fall from a height of
2r + r /2
= 2.5 r . So that it can provide velocity of v at the top where
v² / r = g .
There are warnings about using your cell phone while pumping gas because cell phone batteries can explode.
<h3>What is pumping gas?</h3>
When the vehicle is not having enough fuel to drive more miles, it needs to be fueled by petrol, diesel or natural gas. This is called pumping gas.
According to the rules of National Fire Protection Association, No one is allowed to use any type of electronic items while pumping gas. So, the cell phone is not allowed.
Phones develop static charge. It is believed that cell phone batteries can explode while pumping gas. It would be a real danger.
Thus, there are warnings about using your cell phone while pumping gas because cell phone batteries can explode.
Learn more about pumping gas.
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Answer:
0.10839 m
Explanation:
= Atmospheric pressure = 1 atm = 101325 Pa
= Total pressure at bottom of mecury = 1.2 atm
g = Acceleration due to gravity = 9.81 m/s²
h = d = Depth of mercury
= Density of mercury = 
= Density of water = 
Pressure at the bottom is of the cylinder is given by
Pressure at the bottom of mercury is
The depth of the mercury is 0.10839 m
