Final answer:
To find the mass of the other block, we can use Newton's second law of motion. Since both blocks are connected by a massless rope and are attached to a pulley, their acceleration will be the same. By using the equation F = ma and given the mass and acceleration of one block, we can determine the mass of the other block.
Step-by-step explanation:
To find the mass of the other block, we can use the concept of Newton's second law of motion. The formula for Newton's second law is F = ma, where F is the force, m is the mass, and a is the acceleration.
Since both blocks are connected by a massless rope and are attached to a pulley, their acceleration will be the same.
Given that one block has a mass of 6.0 kg and is accelerating downward at 34g, we can calculate the acceleration using a = 34g = 34 x 9.8 m/s^2. Next, using the formula F = ma, we can determine the force acting on the block:
F = m x a = 6.0 kg x (34 x 9.8 m/s^2) = 6.0 kg x 333.2 m/s^2 = 1999.2 N.
Since the force acting on one block is equal to the force acting on the other block, we can divide the force by the acceleration of the other block to find its mass:
m = F/a = 1999.2 N / 9.8 m/s^2 = 203.4 kg.
Therefore, the mass of the other block is approximately 203.4 kg.