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brandistrothma
13.02.2020 •
Physics
Two blocks, with masses M2>M1, are connected by ropes. You pull to the right on a second rope, with external force "T1".The blocks sit on a frictionless surface. How do the magnitudes of the tensions in the rope compare?a. T1 > T2 b. T1 < T2 c. T1 = T2
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Ответ:
Becuase![M_1 +M_2 M_2](/tpl/images/0510/1988/07894.png)
So then we can conclude that:
And that makes sense since the force
needs to accelerate the two masses and
just need to accelerate
.
So the best option for this case would be:
a. T1 > T2
See explanation below.
Explanation:
For this case we consider the system as shown on the figure attached.
Since the system is connected the acceleration for both masses are equal, that is![a_{M_1}= a_{M_2} = a](/tpl/images/0510/1988/b7ee0.png)
From the second Law of Newthon we have that the force applied for the mass
is
and we know that the force acting on the x axis for the mass 2 is
so then we have that ![T_2= M_2 a](/tpl/images/0510/1988/572ab.png)
Now when we consider the system of
as a whole mass, this system have the same acceleration
and on this case we will see that the only force acting on the entire system would be
and then by the second law of Newton we have that:
And then if we compare
and
we see that :
Becuase![M_1 +M_2 M_2](/tpl/images/0510/1988/07894.png)
So then we can conclude that:
And that makes sense since the force
needs to accelerate the two masses and
just need to accelerate
.
So the best option for this case would be:
a. T1 > T2
Ответ: