Calculating Distance Traveled During Acceleration

  • Thread starter Thread starter Anon1456
  • Start date Start date
  • Tags Tags
    Acceleration
AI Thread Summary
A net force of 6.6 N east accelerates a 9.0 kg object from rest to a velocity of 3.0 m/s east. The acceleration is calculated as 0.733 m/s² using F=ma. Using the equation vf² = vi² + 2ad, the distance traveled during acceleration is found to be approximately 2 meters. There is confusion regarding the answer key stating 6.1 m west, which is incorrect since both the force and velocity are directed east. The direction is not necessary for the distance calculation, which focuses solely on the distance traveled while accelerating.
Anon1456
Messages
2
Reaction score
0

Homework Statement


A net force of 6.6 N east acts on a 9.0 kg object. If this object accelerates uniformly from rest to a velocity of 3.0 m/s east,

How far did the object travel while accelerating?

Homework Equations


F=ma
vf^2 = vi^2 + 2ad

The Attempt at a Solution


F=ma

a= f/m

a=6.6/9

a= 0.73333333333

vf^2 = vi^2 + 2ad

3 = 0 + 2(.733333)(d)

3= 1.467d

3/1.467 = about 2m
But the answer key says 6.1 m west. What did I do wrong and why is it west?
 
Physics news on Phys.org
Just a small glitch in math... you forgot to raise vf to the square. For direction just follow the path.
 
  • Like
Likes Anon1456
It starts from rest. The force and velocity are both to the east. How can it move to the west?

But anyway the question only asks "How far did the object travel while accelerating?" so the direction isn't required?
 
  • Like
Likes Anon1456
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top