1. The problem statement, all variables and given/known data

Two objects are connected by a light string that passes over a frictionless pulley, as in Figure P5.26. The incline is frictionless, m1 = 2.00 kg, m2 = 6.00 kg, and = 50.0°.

(?) Find the speed of each object 2.00 s after being released from rest.
m/s


2. Relevant equations

I already found the acceleration to be 3.18 m/s2 using the equation:
a=(m2)(g)(sin50.0)-(m1)(g) / m1 + m2

I already found the tension in the string to be 25.9 using the equation:
T=(m1)(m2)(g)(sin50.0+1) / (m1+m2)



3. The attempt at a solution

I cannot figure out how to find the speed. I'm not even sure what equation to use for this type of problem. I was thinking S=mass/acceleration. But that equation doesn't take into account the friction.

1. The problem statement, all variables and given/known data

Two objects are connected by a light string that passes over a frictionless pulley, as in Figure P5.26. The incline is frictionless, m1 = 2.00 kg, m2 = 6.00 kg, and = 50.0°.


I cannot figure out how to find the speed. I'm not even sure what equation to use for this type of problem. I was thinking S=mass/acceleration. But that equation doesn't take into account the friction.

You said there was no friction.

Oops just kidding. I'm still unsure of how to find the speed taking into account, the mass, acceleration and time. Is there a formula for that?

Yes, I am pretty sure, but I probably can't give you a correct answer. I'll leave that for someone else.

The diagram would be useful.

I'm not looking for the correct answer. I would never ask you to give me the answer. I am willing to do the work to find the answer. I just don't know where to begin.

I'm thinking that I would use the equation:
V=Vo + at
V=0 + (3.18)(2)
V= 6.36 seconds

Am I on the right path?

you do need to use suvat equations, but you have to include the tension

can you scan the figure?

Oh you already have acceleration, then yes you are correct, v = u+at


V= 6.36 seconds

units... :)