Question

Block A has a mass of 4.50 kg , and block B has mass 14.0 kg . The coefficient of kinetic friction between block B and the horizontal surface is 0.35.

What is the mass of block C if block B is moving to the right and speeding up with an acceleration 2.10 m/s^2
What is the tension in each cord when block B has this acceleration?
T_AB=?
T_BC=?

Answer 1

The problem deals with Newton's Second law and frictional forces which are physics topics. To find the masses and tensions, we need to consider the forces experienced by each block and use these to define the unknown quantities.

Step-by-step explanation:

The subject of the question deals with concepts related to Newton's Second law and frictional force, which are topics covered under Physics. Here, we have 3 blocks connected by two cords with an applied force, which causes an acceleration, and friction between block B and the ground.

To solve this problem, we first find the net force on B, which can be expressed as the mass of block B times its acceleration (14.0 kg * 2.10 m/s^2). We subtract the frictional force from it (which is the coefficient of friction times the mass of B times gravity: 0.35 * 14.0 kg * 9.8 m/s^2). The result will be the tension in the cord between A and B (T_AB).

For the tension in the cord between B and C (T_BC), considering the motion of block C, we multiply the mass of block C (which we want to find) by gravity and subtract T_AB. That will give us the mass of block C when we equate it with the net force on block C, which is its mass times the acceleration.

Learn more about Forces and Masses