Change in Kinetic Energy of block

AI Thread Summary
A 4.5 kg block is initially moving at 8.9 m/s up a 24-degree inclined plane but comes to rest after traveling 6 m. The change in kinetic energy (Delta K) is calculated using the initial and final kinetic energies, resulting in a magnitude of 178.22 J. Participants discuss the correct approach to finding the frictional force, suggesting the use of the work-energy principle. The work done by friction is derived from the change in kinetic and potential energy, leading to confusion over units. Ultimately, the focus is on understanding the calculations for kinetic energy and frictional force.
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A 4.5 kg block is set into motion up an inclined plane with an initial speed of 8.9 m/s. The block comes to a rest after traveling 6 m along the plane, which is inclined at an angle of 24 to the horizontal. Determine the magnitude of the change in the block's kinetic energy.

I tried Delta K= Work of the Force
so..

Delta K = mgh but I got it wrong.
 
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Delta K = mgh
What is the value of h you have substituted in this equation?
 
grouchy said:
I tried Delta K= Work of the Force
so..

Delta K = mgh but I got it wrong.
You don't need any such equation to answer the question. Instead: What's the initial KE? What's the final KE? What's the change?
 
I did also try Delta K = 1/2mVf^2 - 1/2 mVi^2. The final is 0 since it is at rest and I got -178.222 for the initial. But that was also wrong
 
rl.bhat said:
Delta K = mgh
What is the value of h you have substituted in this equation?

for h I user 6sin24.
 
grouchy said:
I did also try Delta K = 1/2mVf^2 - 1/2 mVi^2. The final is 0 since it is at rest and I got -178.222 for the initial. But that was also wrong
The initial KE = + 178.22 J. The change in KE is negative. But note that they ask for the magnitude of the change. (So drop the negative sign.)
 
ok, I get that now. Magnitude is just the number and not the sign.

But for the next part it says that (Assumed: The fristional force is constant. Determine the magnitude of the frictional force exerted on the block.)

do I use, Wf = DeltaK + DeltaU?
 
grouchy said:
do I use, Wf = DeltaK + DeltaU?
That will work.
 
I don't get it, I'm getting it wrong. a previous question asked for the change in potential energy which I got to be 107.623. So I think I'm using the wrong sign or something...

I tried -178.223 + 107.623 and got -70.61N. I tried it with and without the negative sign and still got it wrong.
 
  • #10
grouchy said:
I tried -178.223 + 107.623 and got -70.61N. I tried it with and without the negative sign and still got it wrong.
That's the work done by friction, in Joules not Newtons. Now find the friction force.
 
  • #11
man..I suck at this physics stuff lol. I forgot that I found the W and not the force. Thx for your help though!
 
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