Use Force, Mass and Acceleration to find velocity

AI Thread Summary
A 2 kg block is pulled by a constant force of 13.4 N on a frictionless surface, and the goal is to find its speed after moving 2.4 m. The relevant equations include F=ma, V=Vo + at, and X=1/2 at². Initial calculations suggested an acceleration of 6.7 m/s² and a time of approximately 0.716 seconds. However, there was a transcription error in the final velocity calculation, leading to an incorrect result. The method used is correct, but attention to detail in calculations is crucial for accuracy.
trivk96
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Homework Statement


A 2 kg block initially at rest is pulled to the
right along a horizontal, frictionless surface
by a constant, horizontal force of 13.4 N.
Find the speed of the block after it has
moved 2.4 m.
Answer in units of m/s


Homework Equations


F=MA
V=Vo + at
X=1/2 at2


The Attempt at a Solution


13.4/2=6.7
time=.716417
velocity=4.79989
 
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Hi trivk96, Welcome to Physics Forums.

Your time and velocity don't look right. Can you post your work?
 
This is another try. Can you check if this is right


F=ma
13.4=2a
a=6.7

V=6.7t

x=1/2at2
2.4=.5(6.7)t2

t2=.7164
t=.84641

V=6.7(.85641)
V=5.570978
 
The method looks fine. I think you made a typo transcribing your time value into the final calculation, so the velocity is a bit off. Check it out.

Try using the x2 icon in the reply panel header to incorporate exponents in your posts.
 
Thank You
 
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