In the drawing, the weight of the block on the table is 384 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.
1 m/s2

(b) Find the tension in the cord.

To find the acceleration of the two blocks, you can start by applying Newton's second law of motion to each block separately.

For the block on the table:
Since there is no friction involved, the weight of the block is the only force acting on it. Therefore, we can write:
Weight = Mass * Acceleration
384 N = Mass * Acceleration (Equation 1)

For the hanging block:
The weight of the block is acting downwards, and there is tension in the cord pulling it upwards. The net force acting on the block is the difference between these two forces:
Net Force = Tension - Weight
195 N = Tension - Weight (Equation 2)

Now, we can solve these two equations simultaneously to find the acceleration and tension.

Step 1: Solve Equation 1 for Mass:
Mass = 384 N / Acceleration

Step 2: Substitute the value of Mass into Equation 2:
195 N = Tension - (384 N / Acceleration)

Step 3: Rearrange the equation to isolate Tension:
Tension = 195 N + (384 N / Acceleration)

(b) To find the tension in the cord, substitute the value of acceleration from part (a) into the Tension equation:

Tension = 195 N + (384 N / 1 m/s^2)

Simplify the expression to find the tension.