Answer:
The angular speed of the new system is
.
Explanation:
Due to the absence of external forces between both disks, the Principle of Angular Momentum Conservation is observed. Since axes of rotation of each disk coincide with each other, the principle can be simplified into its scalar form. The magnitude of the Angular Momentum is equal to the product of the moment of inertial and angular speed. When both disks begin to rotate, moment of inertia is doubled and angular speed halved. That is:

Where:
- Moment of inertia of a disk, measured in kilogram-square meter.
- Initial angular speed, measured in radians per second.
- Final angular speed, measured in radians per second.
This relationship is simplified and final angular speed can be determined in terms of initial angular speed:

Given that
, the angular speed of the new system is:


The angular speed of the new system is
.
Answer:
Explanation:
The formula for time period of a pendulum is given as follows :
T = 2π
l is length of pendulum and g is acceleration due to gravity .
So time period of pendulum is not dependent on the mass of the pendulum . If time period is same and length is also the same then acceleration due to gravity will also be the same . Hence the acceleration due to gravity at distant planet will be same as that on the earth.
Answer:
The length of the rope must be an integral multiple of the wavelength of the wave.
Explanation:
Answer:
As the launch force increase the launch velocity will
<em><u>Increase</u></em>
The reason for your answer to number six is because
<em><u>There is a direct relationship between force and acceleration.</u></em>
<em><u /></em>
Explanation:
<em>It is known all over the place that, there is a direct relationship between Force and acceleration of an object leading to an increase in force being directly proportional to the increase in the acceleration of the given object and vice versa.</em>