Question 1
An object weighing 
Explanation: For this question, we'll need to take torque into account. The amount of torque caused by the object to the left of the fulcrum needs to be equal to the torque of the object to the right of the fulcrum.
Moreover, we can write out the equation for torque.
Combining these equations, we can set an expression for the torque on the left and the torque on the right.
Then we can set them equal to each other.
Next, we isolate the term for the distance on the right and we cancel out common units.
Finally, we plug in the values given in the question stem. Because we're told that both objects are sitting flat on the board, we know the force of their weight is perpendicular to the board, which gives a value of 
.
Moreover, we can write out the equation for torque.
Combining these equations, we can set an expression for the torque on the left and the torque on the right.
Then we can set them equal to each other.
Next, we isolate the term for the distance on the right and we cancel out common units.
Finally, we plug in the values given in the question stem. Because we're told that both objects are sitting flat on the board, we know the force of their weight is perpendicular to the board, which gives a value of .