Answer:
The value is
Explanation:
From the question we are told that
The mass of the bullet is
The mass of the wood is
The height attained by the combined mass is
Generally according to the law of energy conservation
Here is the kinetic energy of the bullet before collision.
and is the potential energy of the combined mass of bullet and wood at the height h which is mathematically represented as
So
=>
Answer:
Explanation:
Using the conservation of energy we have:
Let's solve it for v:
So the speed at the lowest point is
Now, using the conservation of momentum we have:
Therefore the speed of the block after the collision is
I hope it helps you!
Answer:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.
Explanation:
From Newton's Laws of Motion and Principle of Motion of D'Alembert, the net torque of a system (), measured in Newton-meters, is:
(1)
Where:
- Moment of inertia, measured in Newton-meter-square seconds.
- Angular acceleration, measured in radians per square second.
If motor have an uniform acceleration, then we can calculate acceleration by this formula:
(2)
Where:
- Initial angular speed, measured in radians per second.
- Final angular speed, measured in radians per second.
- Time, measured in seconds.
If we know that ,
,
and
, then the moment of inertia of the motor is:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.