Answer:
v = rw
Explanation:
When an object is rolling continuously without slipping, then every angle it rotates through, is equal to a distance the perimeter has rotated.
If the object completes 10 revolutions and takes a particular time, let's say t to complete it. The angular distance would then be 20 π rad, while its angular velocity will be 20 π/t
The circumference will somehow translate to the distance it covers, which is 20πr, this means that the speed is 20πr/t
So, like the question asked, the linear speed compared to angular speed is
v : w
20πr/t : 20πt, which can be simplified to
r : 1
In essence, v = rw
Answer:
The volume of water that was in the kettle is 1170 
Explanation:
Given:
Power, P = 2.0 kW = 2000 W, Mass of stainless steel, 
= 710 g = 0.71 kg at temperature of 
Part A:
If it takes time, t = 3.5 minutes to reach boiling point of water 
, then from conservation of energy,
Total energy supplied by the burner = Total heat gained by the water and the stainless steel to rise from to
i.e. Pt = 
(100 - 20 ) + 
(100 - 20 )
= 
= 1.17 kg
where = 4200 J/Kgk (specific heat capacity of water), = 450 J/Kgk (specific heat capacity of steel)
But volume of water in the the kettle, v = 
∴ v = 1170
Answer: a) 8.2 * 10^-8 N or 82 nN and b) is repulsive
Explanation: To solve this problem we have to use the Coulomb force for two point charged, it is given by:
Replacing the dat we obtain F=82 nN.
The force is repulsive because the points charged have the same sign.
Answer:Downward
Explanation:
As elevator is moving upward but is decelerating to stop at top
Suppose mg is the weight of man
N is the normal reaction
a is the acceleration
here upward direction is positive while downward direction is negative
Therefore net force is in downward direction
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