Finding velocity when onlu a mass and acceleration is given

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Homework Help Overview

The problem involves a weather balloon releasing instruments with a given mass and upward force, leading to a question about the velocity of the instruments at the moment of their release after a specified time of acceleration.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration and its implications for finding velocity, questioning the initial conditions and the net forces acting on the instruments.

Discussion Status

Some participants are clarifying the initial conditions, such as whether the instruments are released from rest. Others are exploring the effects of gravity on the net force and its impact on the calculations.

Contextual Notes

There is uncertainty regarding the correct interpretation of acceleration and the net forces involved, as well as the initial conditions for the instruments at the moment of release.

mkmaitla
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Homework Statement


The instruments attached to a weather balloon have a mass of 5.0kg.The balloon is released and exerts an upward force of 98 N on the instruments. I have found that the acceleration is 1.96 m/s/s by F=ma.
After the balloons have accelerated for 10 seconds, the instruments are released. What is the velocity of the instruments at the moment of their release?


Homework Equations


V(sub f)^2=V(sub i)^2 + 2ad
I have tried this but I don't know either velocity or the distance.
or would it be:
V(sub f) = V(sub i) +at

The Attempt at a Solution


V(sub f)^2= 0^2 + (2)(1.96m/s^2)(d)
or
V(sub f)= 0 + (1.96m/s^2)(10s)
 
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Be careful, that's not the acceleration. How did you figure out what the acceleration was?

Once you know the acceleration, you also know that

v = v_0 + at

It's assumed to be released from rest, so v_0 = 0. It's a simple matter of letting t = 10 sec. Remember, the question is quite simple since it only asks for what happens at the release.
 
Oh okay. I looked at the calculator wrong for the decimal. So the initial velocity is 0?
 
The force exerted by the balloon on the instruments is 98N, but what is the net force after accounting for gravity?
 
is it 10?
 
How did you arrive at that? E.G. which equation did you use?
 

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