Question

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of 1.5 kg, accelerates downward at 34g. What is the mass of the other block?

1) 1.5 kg
2) 51 kg
3) 34 kg
4) 0.044 kg

Answer 1

The mass of the other block is 34 kg.

Step-by-step explanation:

To find the mass of the other block, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force acting on the block with mass 1.5 kg is the weight of the block, which is equal to the mass multiplied by the acceleration due to gravity (g). Since the block is accelerating downward at 34g, the net force on the block is (34g - g), which is equal to (33g).

Now, we can set up an equation using Newton's second law:

F = m * a

Where F is the force on the block, m is the mass of the block, and a is the acceleration of the block.

Substituting the given values into the equation:

(33g) = (1.5 kg) * a

Dividing both sides of the equation by (1.5 kg) gives:

a = (33g) / (1.5 kg)

Therefore, the mass of the other block is 34 kg (option 3).