Calculate Magnitude of Force to Push 10 kg Object 11m, Speed 2 to 5.2 m/s

  • Thread starter Thread starter cthionic
  • Start date Start date
  • Tags Tags
    Force Magnitude
AI Thread Summary
To calculate the magnitude of the force required to push a 10 kg object over 11 meters, the initial speed is 2 m/s and the final speed is 5.2 m/s. The initial kinetic energy is calculated as 20 J, while the final kinetic energy is 135 J, resulting in 115 J of work done. The work-energy principle indicates that the work done equals the force multiplied by the distance. By dividing the total work (115 J) by the distance (11 m), the magnitude of the force is determined to be approximately 10.5 N. This calculation aligns with the principles of work and energy being reviewed in class.
cthionic
Messages
5
Reaction score
0

Homework Statement


"A force was used to push a 10 kg object through a distance of 11 metres. Its speed was initially 2 m/s, and was increased to 5.2 m/s at the end of the 11 metres. What was the magnitude of the force?"


Homework Equations


Ek = 1/2 mv^2
W = fd?

The Attempt at a Solution



Initial kinetic energy was 20, final = 143. 123 J of work went into the system. Unsure of what to do from here, or if that was the correct approach. We're reviewing "work and energy" chapter in class, so I would assume it would be along those lines. multiple choice options are 10.5 N, 115 N, 230 N, 23 N.
 
Physics news on Phys.org
You know the amount of work that was done and you know the distance the force acted to do that work.
 
Oops. I see my mistake, I was dividing 123 by 11, 143 J at 5.2m/s isn't correct, it's actually 135. Thanks.
 
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 '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