Tension between 2 blocks and friction.

[CaptainSFS]

Homework Statement

A block of mass m1 = 2 kg and a block of mass m2 = 3 kg are tied together and are pulled from rest across the floor by a force of P = 25 N. The coefficient of friction of the blocks with the floor is µ = 0.14.

I found the acceleration to be 3.6266 m/s².

I need to find the tension in the string between the blocks.

Homework Equations

F=ma and F_f=u(mg)

The Attempt at a Solution

The total frictional force is 6.867 N. m1 has a frictional force of 2.7468 i think, and m2 has a frictional force of 6.7596 i think. I think the pulling force on m1 is 7.2532 N. I mean, i tried creating different summations of the forces, but I don't know what I'm doing wrong. I'm sure I could figure it out, but I need to at least know how to add the forces up in each direction. Thanks so much.

 

[PhanthomJay]

Homework Statement

A block of mass m1 = 2 kg and a block of mass m2 = 3 kg are tied together and are pulled from rest across the floor by a force of P = 25 N. The coefficient of friction of the blocks with the floor is µ = 0.14.

I found the acceleration to be 3.6266 m/s².

Good. You should round it off though to 3.6

The total frictional force is 6.867 N.

yes

m1 has a frictional force of 2.7468 i think,

yes

and m2 has a frictional force of 6.7596 i think.

where did you get this?

I think the pulling force on m1 is 7.2532 N.

how did you arrive at this?

I mean, i tried creating different summations of the forces, but I don't know what I'm doing wrong.

Draw a Free Body Diagram of block 1 (isolate it) , and examine the forces acting on it to solve for T using Newton 2. What is the acceleration of block 1?

 

[CaptainSFS]

okay, I typed the wrong number in for m2's frictional force. I meant to type in 4.1202 N. I arrived at m1's pulling force by (2)(3.6) = F. Right, I thought I tried creating a FBD but for some reason I'm doing something wrong. Is the acceleration on block m1 = 2.25 m/s2? At this point I am not sure what I am supposed to do.

EDIT: wait, doesn't the acceleration have to be equal to 3.6m/s2?

 

[CaptainSFS]

Hey, if someone could help me. I'm really stuck on this one, I just think I've dug myself a deeper hole trying to work this out. I would really appreciate any more help.

EDIT: I solved it. it's 10 N...