Crate pulled up incline, kinetic energy and speed; picture included

AI Thread Summary
A crate is being pulled up a rough incline by a 150 N force over a distance of 5.94 m, with an initial speed indicated in an accompanying figure. The discussion focuses on calculating the change in kinetic energy and the final speed of the crate after the pull. The user attempted to apply work-energy principles but faced confusion regarding the inclusion of friction and gravitational forces in their calculations. There were corrections suggested regarding the mixing of energy and force units. The main goal is to accurately determine the change in kinetic energy in joules and the final speed in meters per second.
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Homework Statement


A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an initial speed shown in the figure below. The crate is pulled a distance of 5.94 m on the incline by a 150 N force.
The acceleration of gravity is 9.8 m/s2 .
[PLAIN]http://img801.imageshack.us/img801/849/problem1011.jpg
a) What is the change in kinetic energy of the crate?
Answer in units of J.
b) What is the speed of the crate after it is pulled the 5.94 m?
Answer in units of m/s.

Homework Equations


(1)W= delta K= Integral Fx dx= Integral Sum of F dr= Integral Sum of F dr + Integral fk dr= Sum of W - fkd
(2)Delta K= 1/2 mvf^2

The Attempt at a Solution


Wells for part a) I tried equation (1)and got 150 N- (0.399* 5.94)=147.63 J... which I don't know if its right
and for b) (if part a is right) I used equation (2) vf=sq rt ( (2/m)*147.63)= 4.76574 m/s
 
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When using W =delta K , W includes the work done by gravity or any other conservative forces, when present. It is best to use conservation of total energy, Work done by non - conservative forces (like friction and the applied force) equals delta __??__ + delta __??_.

The problem asks for the change in Kinetic Energy, in addition to its speed.

You are getting your energy and force units mixed up.
 
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