Determine the distance each object will move

[patrilu5]

Homework Statement

Two objects with masses of 4.00 kg and 6.00 kg are connected by a light string that passes over a frictionless pulley.
(a) Determine the tension in the string.
(b) Determine the acceleration of each object.
(c) Determine the distance each object will move in the first second of motion if both objects start from rest.

Homework Equations

W=mg

The Attempt at a Solution

I tried to find the weight of both masses and then add it, but it didn't work, I tried to substract it and nothing...I really don't know what else can I do

 

[PeterO]

Homework Statement

Two objects with masses of 4.00 kg and 6.00 kg are connected by a light string that passes over a frictionless pulley.
(a) Determine the tension in the string.
(b) Determine the acceleration of each object.
(c) Determine the distance each object will move in the first second of motion if both objects start from rest.

Homework Equations

W=mg

The Attempt at a Solution

I tried to find the weight of both masses and then add it, but it didn't work, I tried to substract it and nothing...I really don't know what else can I do

I assume both masses are hanging.

Do part (b) first.

The weight force of one mass is trying to accelerate the total mass in one direction.
The weight force of the other mass is trying to accelerate the total mass in the other direction.
One of those forces is stronger than the other, so a smaller net force will cause the final motion.
You get the Tension by then considering the two forces [gravity and tension] acting on either mass. You could calculate it twice [each mass] to confirm you get the same answer, and therefore have the correct answer.

 

[timacho]

sum of Fy=T-W..
F=ma,
compare with fx, get T in term of acce.
u'll get acce, then solve T..

once u get acce n T, I think u know how to find distance..

 

[patrilu5]

I assume both masses are hanging.

Do part (b) first.

The weight force of one mass is trying to accelerate the total mass in one direction.
The weight force of the other mass is trying to accelerate the total mass in the other direction.
One of those forces is stronger than the other, so a smaller net force will cause the final motion.
You get the Tension by then considering the two forces [gravity and tension] acting on either mass. You could calculate it twice [each mass] to confirm you get the same answer, and therefore have the correct answer.

I really don't get it :( can you explain it with more details please