Use Force, Mass and Acceleration to find velocity

In summary, 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. Using the equations F=ma and x=1/2at2, the speed of the block after it has moved 2.4 m is approximately 5.571 m/s.
  • #1
trivk96
47
0

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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  • #2
Hi trivk96, Welcome to Physics Forums.

Your time and velocity don't look right. Can you post your work?
 
  • #3
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
 
  • #4
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.
 
  • #5
Thank You
 

FAQ: Use Force, Mass and Acceleration to find velocity

What is the formula for finding velocity using force, mass, and acceleration?

The formula for finding velocity using force, mass, and acceleration is v = F/m x a, where v represents velocity, F represents force, m represents mass, and a represents acceleration.

Can velocity be negative when using the force, mass, and acceleration formula?

Yes, velocity can be negative when using the force, mass, and acceleration formula. This indicates that the object is moving in the opposite direction of the applied force.

How does changing the mass affect the velocity when using the force, mass, and acceleration formula?

According to Newton's Second Law of Motion, an increase in mass will result in a decrease in velocity, assuming the force and acceleration remain constant. This is because a larger mass requires more force to achieve the same acceleration.

What happens to the velocity if the force is doubled while the mass and acceleration remain constant?

If the force is doubled while the mass and acceleration remain constant, the velocity will also double. This is because velocity is directly proportional to force, meaning that as force increases, velocity will also increase.

How is velocity affected by acceleration when using the force, mass, and acceleration formula?

Velocity is directly proportional to acceleration when using the force, mass, and acceleration formula. This means that as acceleration increases, velocity will also increase, assuming the force and mass remain constant.

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