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

In summary, the conversation is about calculating the work done on a block of mass 2.2 kg to bring it to rest, using the work-energy theorem and the formula W = ΔKE = 1/2mv^2. The question also asks for the acceleration of the block if a friction force of 11 Newtons is exerted on it. The solution involves using F = m*a and clarifies the units for acceleration.
  • #1
kmikias
73
0
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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  • #2


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?)
 
  • #3


oh thank you , now i got it, i didn't put negative sign
 
  • #4


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
 
  • #5


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)
 
  • #6


thank you doc i just forgot to write the square
 

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

What is the work-energy theorem problem?

The work-energy theorem problem is a physics concept that relates the work done on an object to its change in kinetic energy. It states that the net work done on an object is equal to the change in its kinetic energy.

How do you calculate work in the work-energy theorem?

Work is calculated by multiplying the force applied to an object by the distance the object moves in the direction of the force. The formula for work is W = F * d, where W is work, F is force, and d is distance.

What is the relationship between work and kinetic energy in the work-energy theorem?

The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy. This means that if work is done on an object, its kinetic energy will change by the same amount.

Can the work-energy theorem be used for all types of motion?

Yes, the work-energy theorem can be applied to all types of motion, including linear, rotational, and oscillatory motion. As long as there is a force acting on an object and it moves in the direction of the force, the work-energy theorem can be used.

What are some real-life examples of the work-energy theorem in action?

Some examples of the work-energy theorem in real life include a ball rolling down a hill, a person pushing a shopping cart, and a car accelerating on a highway. In all of these situations, work is being done on the objects, resulting in changes in their kinetic energy.

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