Answer:
Explanation:
The rotational kinetic energy remains constant as long as the length and angular speed are fixed.
Statement A is true.
When the ball is pulled inward and the length of the string is shortened, the rotational kinetic energy will remain constant due to conservation of energy,
Statement B is false .
Reason - Conservation of energy will not be there because external work is done on the system by the force that pulls it inward.
but the angular momentum L will not remain constant because there is an external force acting on the ball to pull it inward
Statement C is false .
Reason - the angular momentum L will remain constant because there is an external force acting on the ball which acts perpendicular to the velocity of the ball .
The moment of inertia I remains constant
Statement D is false
Reason - because distance from axis of rotation is changing.
the angular speed will remain the same throughout the process because the ball is rotating in the same plane throughout the motion.
Statement E is false
Reason - Since moment of inertia decreases , to conserve angular momentum , angular speed increases.
Solution:
f ( t )= 20 S ( t ) + 55/30 tS ( t )− 55/30 ( t − 30 ) S ( t − 30 )
• Taking the Laplace Transform:
F ( s ) = 20/s + 55/30 ( 1/s^2 ) – 55/30 ( 1/s^2) e^-30s = 20/s + 55/30 ( 1/s^2 ) ( 1 – e^-30s)
Answer:
5595 m
Explanation:
The wave travels down (the depth) and the back up (the depth again)
this distance is 2 d
2 d = 1492 m/s * 7.5 s
2d = 11190 m
d = 5595 m
True, They contain old stars and posses little gas or dust
Answer:
1.3823 rad/s
20.7345 m/s
28.66129935 m/s²

2006.29095 N radially outward
Explanation:
r = Radius = 15 m
m = Mass of person = 70 kg
g = Acceleration due to gravity = 9.81 m/s²
Angular velocity is given by

Angular velocity is 1.3823 rad/s
Linear velocity is given by

The linear velocity is 20.7345 m/s
Centripetal acceleration is given by

The centripetal acceleration is 28.66129935 m/s²
Acceleration in terms of g


Centripetal force is given by

The centripetal force is 2006.29095 N radially outward
The torque will be experienced when the centrifuge is speeding up of slowing down i.e., when it is accelerating and decelerating.