Solving Three Blocks on a Frictionless Surface

In summary, the problem involves three blocks on a frictionless horizontal surface in contact with each other. A force F is applied to block 1 (mass m1). The task is to draw a free-body diagram for each block and determine the acceleration of the system (in terms of m1, m2, m3), the net force on each block, and the force of contact that each block exerts on its neighbor. For the given values of m1 = m2 = m3 = 12.0 kg and F = 90 N, the numerical answers for the acceleration, net force, and force of contact are to be determined. The problem can be solved by drawing the free-body diagram for each block, considering equal
  • #1
pointintime
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Homework Statement



Three blocks on a frictionless horizontal surface are in contact with each other as shown in Fig. 4-5. A force F is applied to block 1 (mass m1). (a) Draw a free-body diagram for eeach block. Determine (b) the acceleration of the system (in terms of m1, m2, m3), (c) the net force on each block, and (d) the force of contact that each block exerts on its neighbor. (e) If m1 = m2 = m3 = 12.0 kg and F = 90 N, give numerical answers to (b), (c), and (d). Do your answers make sense intuitively?

Homework Equations



def of net force = ma

The Attempt at a Solution



ok i followed this problem my only problem with it is that were only given the force applied how are you suppose to find the acceleration of the system...

because net force = ma

were only given one force

applied the net force in the x direction there would be more than just the applied force... yes were ignoring friction and air resistance but still there would be others like the contact force opposing each block

so I don't see how simply taking 90 N and the total mass allows us to find the acceleration when 90 N is not the net force
 
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  • #2
why don'y you draw the free-body diagram for each block first
 
  • #3
Once you draw the free body diagram, remembering that every force has an equal and opposite force, you can effectively prove that you can treat the 3 blocks as one single block. therefore the F=mA become a pretty simple equation to solve. (I am assuming the blocks are arrange linearly horizontally on a table)
 

Related to Solving Three Blocks on a Frictionless Surface

1. What is the concept of solving three blocks on a frictionless surface?

The concept of solving three blocks on a frictionless surface is a physics problem that involves three blocks of different masses placed on a surface with zero friction. The objective is to determine the acceleration and forces acting on each block as they move together.

2. What are the assumptions made in solving three blocks on a frictionless surface?

The main assumptions made in this problem are that the surface is perfectly smooth with no friction, the blocks are in contact with each other and there is no external force acting on them.

3. How is the solution for this problem obtained?

The solution for this problem is obtained by applying Newton's laws of motion and using the equations of motion to determine the acceleration and forces acting on the blocks. The equations are solved simultaneously to find the values of the unknown quantities.

4. What are the factors that affect the solution of this problem?

The solution of this problem is affected by the masses of the blocks, their initial velocities, and the angle at which they are placed on the surface. Other factors that may affect the solution include air resistance and imperfections in the surface.

5. What real-life applications can be related to solving three blocks on a frictionless surface?

This problem has real-life applications in the study of mechanics and dynamics, such as in the design of machinery and vehicles. It also has applications in sports, such as analyzing the motion of objects on a smooth surface, like a hockey puck on ice.

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