Is the work done by the motor equal to the work done by the friction force on the conveyor belt?

Is the work done by the motor equal to the work done by the friction force on the conveyor belt?

1、 There are two algorithms for the motor to do work on the conveyor belt. 1. The conveyor belt has a uniform speed, so the motor's work is equal to the work done to overcome the friction force. Multiply the friction force by the displacement of the conveyor belt (note that it is not the displacement of the object). 2. Energy conservation. The energy provided by the motor is equal to the increment of the kinetic energy of the object plus the increment of the internal energy of the system

What energy is converted from the work done by the motor on the inclined conveyor belt

The kinetic energy and gravitational potential energy of an object, if there is relative sliding, also has internal energy

The motor works on the conveyor belt
Is there a relationship between the energy consumed by the conveyor belt and the work done by the motor on the conveyor belt? What is the relationship?

The amount of work done by the motor to the conveyor belt is equal to the electric energy consumed by the conveyor belt, which is the process of converting electric energy into mechanical energy. Work is the measurement or carrier of energy, and the energy conversion must be accompanied by work

On the work done by the friction of conveyor belt and the friction heat produced
How to calculate, is the work done by the belt friction multiplied by the relative displacement between the block and the belt?
What about friction heat?
What is the work done by the conveyor belt? Is it the work done by friction?
Please be specific

There is friction between the conveyor belt and the block. The work done by the force on the block shall be multiplied by the relative displacement. The value is equal to the increment of the block's kinetic energy (if there is no other force doing work on the block)
At the same time, there is friction force between the block and the conveyor belt. The work done by the force on the conveyor belt (negative work, that is, the work done by the conveyor belt to overcome the friction force) should be equal to the friction force multiplied by the displacement of the conveyor belt to the ground
The total work done by this pair of friction forces (the algebraic sum of these two works) is just equal to the friction force multiplied by the relative displacement, which is the measure of the transformation of mechanical energy into internal energy, the heat of friction