Finding velocity when onlu a mass and acceleration is given

In summary, the instruments attached to a weather balloon have a mass of 5.0kg and experience an upward force of 98N. The acceleration is found to be 1.96 m/s/s using the equation F=ma. After accelerating for 10 seconds, the instruments are released. Using the equation v=v0+at, and assuming an initial velocity of 0, it can be determined that the velocity of the instruments at the moment of release is 19.6 m/s. The net force on the instruments, taking gravity into account, is 10N.
  • #1
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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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  • #2
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

[itex]v = v_0 + at[/itex]

It's assumed to be released from rest, so [itex]v_0 = 0[/itex]. It's a simple matter of letting [itex]t = 10 sec[/itex]. Remember, the question is quite simple since it only asks for what happens at the release.
 
  • #3
Oh okay. I looked at the calculator wrong for the decimal. So the initial velocity is 0?
 
  • #4
The force exerted by the balloon on the instruments is 98N, but what is the net force after accounting for gravity?
 
  • #5
is it 10?
 
  • #6
How did you arrive at that? E.G. which equation did you use?
 

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