Answer:
the angular velocity of the carousel after the child has started running =
Explanation:
Given that
the mass of the child = m
The radius of the disc = R
moment of inertia I = 
change in time = 
By using the torque around the inertia ; we have:
T = I×∝
where
R×F = I × ∝
R×F = ∝
F = 
∝
∝ = 
( expression for angular angular acceleration)
The first equation of motion of rotating wheel can be expressed as :
where ;
∝ =
Then;
∴ the angular velocity of the carousel after the child has started running =
The average kinetic energy of a gas particle is directly proportional to thetemperature. An increase intemperature increases the speed in which the gas molecules move. Allgases at a given temperature have the same average kinetic energy. Lightergas molecules move faster than heavier molecules.
The force on a 64 k person decelerating on that rate would be :
F = ma
F = 64 kg x 30 x 9.8
= 18816 N
Hope this helps
Mass is an intrinsic property of the rock. The mass doesn't care where it is, and it makes no difference where the rock happens to be at the moment ... its mass doesn't change.
17kg of mass is 17kg . If it's 17kg on the moon, it's <em>17kg</em> on Earth.
