Work-Energy Theorem: Calculating Work Done on a Sliding Block

AI Thread Summary
The discussion revolves around calculating the work done on a sliding block to bring it to rest, using the work-energy theorem. The initial confusion about using the kinetic energy formula (KE = 1/2MV^2) is clarified by emphasizing that work equals the change in kinetic energy (W = ΔKE). Participants discuss the impact of friction, noting that the friction force of 11 Newtons is the only horizontal force acting on the block, which leads to the equation F = m*a for finding acceleration. Additionally, a correction is made regarding the units for acceleration, which should be m/s² instead of m/s. The conversation effectively highlights the application of fundamental physics principles in solving the problem.
kmikias
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I am just confuse in this question may be i forgot about work and energy .I just need little help not the answer ,here is the question

1.A block of mass 2.2 kg, which has an initial
velocity of 3.9 m/s at time t = 0, slides on a
horizontal surface.
Calculate the work that must be done on
the block to bring it to rest. Answer in units j.

solution .

Is it work = KE WHICH IS 1/2MV^2

I try to use W = F.d
but i don.t know the acceleration
 
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kmikias said:
Is it work = KE WHICH IS 1/2MV^2
Good. Use the work-energy theorem: W = ΔKE.

(What's the change in KE?)
 


oh thank you , now i got it, i didn't put negative sign
 


how about If a constant friction force of 11 Newtons is
exerted on the block by the surface, what is
the acceleration? Answer in units of m/s.

solution
F - friction force = mass * acceleration

is that right
 


kmikias said:
solution
F - friction force = mass * acceleration
Is friction the only horizontal force acting on the block? If so, then all you need is F = m*a, where F is the friction force.

Also: acceleration has units of m/s^2, not m/s (m/s is the units for speed)
 


thank you doc i just forgot to write the square
 
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