Calculating Work on a Sliding Block: Mass, Speed, and Kinematics

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SUMMARY

The discussion focuses on calculating the work required to bring a sliding block of mass 3 kg, initially moving at 6 m/s, to rest. The key equations utilized include F=MA for force, W=FD for work, and the kinematic equations that relate velocity and acceleration. The change in kinetic energy, which is equal to the work done on the block, is central to solving the problem. The solution involves determining acceleration and displacement, followed by applying the relevant formulas to find the work in joules.

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  • Understanding of Newton's Second Law (F=MA)
  • Familiarity with the work-energy principle (W=ΔKE)
  • Knowledge of kinematic equations for motion
  • Basic algebra for solving equations
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Homework Statement


A block of mass 3 kg, which has an initial
speed of 6 m/s at time t = 0, slides on a
horizontal surface.
Find the magnitude of the work that must
be done on the block to bring it to rest.
Answer in units of J.


Homework Equations


F=MA
W=FD
Kinematics
Vf=Vi=AT
ΔX=ViT=1/2AT2
2AΔX=Vf2-Vi2

The Attempt at a Solution


basically I need A and ΔX(D)... and I can't remember what to do. after that, it's a simple matter of plugging in numbers
 
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Hint: The change in kinetic energy is the same as the work done on the block.
 
yeah, ha, totally forgot about the other formula xD
 

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