In the drawing, the weight of the block on the table is 478 N and that of the hanging block is 195 N. Ignore all frictional effects, and assuming the pulley to be massless.

(a) Find the acceleration of the two blocks.

(b) Find the tension in the cord.

To find the acceleration of the two blocks, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object times its acceleration.

(a) To solve for the acceleration, we need to determine the net force acting on both blocks.

For the block on the table:
The weight of the block is given as 478 N. Since there are no other forces acting on it except the tension in the cord, the net force acting on it is equal to the tension in the cord (T).
Therefore, the net force on the block on the table is T.

For the hanging block:
The weight of the hanging block is given as 195 N. In this case, the net force acting on the hanging block is equal to the difference between the weight of the block and the tension in the cord (T). Since the block is accelerating upwards, the net force is the difference between its weight and tension (T) acting upwards.
Therefore, the net force on the hanging block is 195 N - T.

Since the pulley is assumed to be massless, the tension force is the same throughout the cord. So, the tension in the cord is the same for both blocks.

Setting up the equation for the net forces on both blocks:
Net force on the block on the table: T = m₁ * a (where m₁ is the mass of the table block)
Net force on the hanging block: 195 N - T = m₂ * a (where m₂ is the mass of the hanging block)

Since the masses are unspecified, we cannot directly solve for the acceleration. However, we can still find the value of the tension in the cord.

(b) To find the tension in the cord (T), we can substitute the equation for the net force on the block on the table into the equation for the net force on the hanging block:

195 N - T = m₂ * a

Substituting T from the equation for the net force on the block on the table:

195 N - (m₁ * a) = m₂ * a

Now, we can solve this equation for the tension in the cord (T).