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

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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.
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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.
 
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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.
 
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