A series of two 2.0 kg blocks are attached together through string B.Two of the blocks weigh each 2.0 kg and are now being use for a new experiment. The blocks are being pulled upwards by another string A with a force of 25 N.

What is the acceleration of the blocks?(3.55 m/s^2[Down])
What is the tension in the string connecting the two blocks? Solve using the FBD of the block connected by string A and B (12.5 N)

As each block has 2 kg mass so overall we have 4 kg mass. And overall weight of the body is 39. 2 N. So the net force must be 14. 2 N down,39. 2 - 25... a=F/m so a=14. 2/4 =3. 55N

To answer the first question, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, since the blocks are being pulled upwards, the net force is the tension in string A minus the weight of the blocks.

Here's how you can calculate the acceleration:
1. Calculate the weight of the blocks using the equation: weight = mass * acceleration due to gravity. Since each block weighs 2.0 kg, the weight of both blocks is (2.0 kg + 2.0 kg) * 9.8 m/s^2 = 39.2 N.
2. Subtract the weight of the blocks from the tension in string A to get the net force: net force = 25 N - 39.2 N = -14.2 N. Note that the negative sign indicates that the net force is in the opposite direction of the tension in string A.
3. Use Newton's second law to calculate the acceleration: net force = mass * acceleration. Rearrange the equation to solve for acceleration: acceleration = net force / mass = -14.2 N / (2.0 kg + 2.0 kg) = -3.55 m/s^2. Since the acceleration is in the opposite direction of the tension in string A, we indicate it as 3.55 m/s^2 downwards.

To answer the second question, we can focus on the block attached by both string A and string B. Considering the forces acting on this block, we can set up a free body diagram (FBD). In this case, the forces are the tension in string A pulling upwards and the tension in string B pulling downwards.

Here's how you can calculate the tension in the string connecting the two blocks:
1. As mentioned earlier, the net force acting on this block is the difference between the tension in string B and the tension in string A. Since the block is moving downwards, the net force is negative.
2. Write the equation for the net force: net force = tension in string B - tension in string A = -mass * acceleration. We already calculated the mass (2.0 kg + 2.0 kg = 4.0 kg) and acceleration (-3.55 m/s^2) in the previous calculations.
3. Rearrange the equation to solve for the tension in string B: tension in string B = tension in string A - (mass * acceleration) = 25 N - (4.0 kg * -3.55 m/s^2) = 25 N + 14.2 N = 39.2 N. Note that the negative sign in the acceleration cancels out the negative sign in the net force, resulting in a positive tension.

Therefore, the tension in the string connecting the two blocks is 39.2 N.