A constant force of 9.8N is applied to a wooden block to slide it at a constant speed across a wooden table. Determine the weight of the block.

What is the mass of the block?

You have not provided enough information t answer the question. I assume the table is level. The friction force equals 9.8N so that the no accleration occrs.

Therefore
(Weight)*(kinetic friction coefficient)
= 9.8 N

The kinetic friction coefficient is needed to calculate the weight. You may have been told what it is but you neglected to include it in your question

The mass of the block is (Weight, in newtons) divided by g.

To determine the weight of an object, we need to know its mass and the acceleration due to gravity. The mass of the block can be calculated by using Newton's second law of motion:

F = m * a

Where:
F is the force applied (9.8 N in this case)
m is the mass of the block (what we're trying to find)
a is the acceleration due to gravity (9.8 m/s^2 on Earth)

Since the block is sliding at a constant speed, we can assume that the net force acting on it is zero. That means the applied force must be equal to the force of friction, which is also equal to the weight of the block.

Thus, we can write:

9.8 N = m * 9.8 m/s^2

Now, to solve for the mass of the block, we divide both sides of the equation by 9.8 m/s^2:

m = 9.8 N / 9.8 m/s^2

Canceling out the units, we find that the mass of the block is 1 kg.

Therefore, the weight of the block is equal to the force applied, which is 9.8 N.