Solving Physics Work Problems - Confirm Results

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SUMMARY

The discussion focuses on solving a physics work problem involving a 10.0-kg crate being pulled up a 20-degree incline with a 100-N force. The calculations provided include the work done by gravitational force (167.76 J), the work done by the pulling force (469.84 J), and the change in kinetic energy (302.085 J). The final speed of the crate after being pulled 5.00 m is calculated to be 7.916 m/s. These results are confirmed as accurate based on the principles of work and energy in physics.

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Apple123
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Here is the problem:
A 10.0-kg crate is pulled up a rought 20 degree incline by a 100-N force parallel to the incline. The initial speed of the crate is 1.5 m/s, and the coefficient of kinetic friction is 0.40. The crate is pulled a distance of 5.00m. Determine the work done by the:
1. Gravitational force
2. 100-n force
3. Change in KE of the crate
4. What is the speed after it is pulled 5.00m?

Here are my answers:
1. W=mgh=167.76 J
2. W=Fdcos(theta)=469.84J
3. KE=KE(f)-KE(i)= 302.085J
4. KE +W=KE(f) + PE(f)
v=7.916 m/s

Can anybody confirm these answers for me? I only feel half confident on them.
 
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