A. is the right answer since work is negative and Q which is heat in negative also
What is the kinetic energy of the system after the collision?

How this is calculated?
Given:
Initial speed=
mass of rod=M
Let, Initial kinetic energy =
Final kinetic energy=
Moment of inertia =I
What is the moment of inertia?

What is the angular momentum?
By conservation of angular momentum,


We know that, the final kinetic energy is given by,

What is the kinetic energy?
- In physics, the kinetic energy of an object is the energy that it possesses due to its motion.
- It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
- Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
To know more about kinetic energy, refer:
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To solve this problem we will apply the definitions given in Newtonian theory about the Force of gravity, and the Force caused by weight. Both will be defined below, and in equal equilibrium condition to clear the variable concerning acceleration due to gravity. Finally, with the values provided in the statement, it will be replaced.
The equation for the gravitational force between the Earth and the object on the surface of the Earth is

Where,
G = Universal gravitational constant
= Mass of Earth
= Distance between object and center of earth
= Mass of Object
The equation for the gravitational pulling force on the object due to gravitational acceleration is

Equation the two expression we have


This the acceleration due to gravity which is composite constant.
Replacing with our values we have then


The value of composite constant is
. Here, the composite constant is nothing but the acceleration due to gravity which is constant always.
<span>The scales is 1 m = 10 dm = 100 cm = 1000 mm. Then 10 dm equals 1000 mm and 1 dm equals 100 mm.The names of the measures in that scale are meter, decimeter, centimeter and milimiter. So, the answer is that the length that is 100 times larger than a milimieter is the decimeter (dm). </span>