I think that the angular velocity vector points at right angles to the direction in which the wheels are turning (spindle on an old fashioned record player ?) and so at right angles to the direction the bike is moving in. This contributes to the gyroscope effect on the wheels and bike and allows a rapidly rotating wheel to be more stable than a slowly rotating one. Problem for the trainee cyclist is to believe that they are actually more stable when their wheels are moving quickly. 'cos the tendency is to go slowly to start with, which makes balancing harder.
But then, most cyclists, especially youngsters, don't sit down all day analysing circular motion vectors, which may be just as well.
Explanation:
It is given that,
Height above which the stone was thrown, h = 10 m
Initial velocity of the stone, u = 8 m/s
Angle above the horizontal, 
The horizontal component of velocity is, 
The vertical component of velocity is, 
Let t is the time of flight in vertical motion. The second equation of motion is :

t = 0.34 seconds
Let s is the range of the stone. It can be calculated as :


s = 2.46 meters
So, the range of the stone is 2.46 meters. Hence, this is the required solution.
You need to know the specific heat capacity of air.
Then energy needed = 0.005 x sp.heat.cap x 10
Answer:
12 cm
Explanation:
= Initial pressure = 
= Final pressure = 
h = Depth of cylinder = 36 cm
g = Acceleration due to gravity = 10 m/s²
= Density of water = 1000 kg/m³
= Depth of lake = 20 m
From the ideal gas relation we have

The height of the cylinder of air in the bucket when the bucket is at the given depth is 12 cm
Answer:
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Explanation:
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