What is the Change in Kinetic Energy of a Crate Being Pulled at an Angle?

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SUMMARY

The change in kinetic energy of the crate being pulled at an angle is calculated to be 621.394 J, derived from the work done by the applied force (822.18 J) minus the work done by gravity (200.786 J). The crate, with a mass of 8.91 kg and a coefficient of friction of 0.292, is initially moving at a speed of 1.48 m/s. After being pulled for 5.79 m, the final speed of the crate is determined to be 5.1 m/s using the kinetic energy formula KE = (1/2)mv².

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Homework Statement


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 5.79 m? Answer in units of m/s
Magnitude of work done by gravity= 200.786
Work done by applied force= 822.18
mass=8.91kg
force pulling on box= 142N
angle from horizontal to force= 23.4 degrees
crate is moving at a speed of 1.48 m/s
coefficient of friction= 0.292

Homework Equations


Change in Kinetic Energy= Work done by gravity + work done by the applied force[/B]
KE= (1/2)mv2

The Attempt at a Solution


A. 822.18-200.786(since gravity is negative)= 621.394J
B. Found Fn=mgcos(theta)
Multiplied that by the coefficient of friction. Got the work done by friction. Subtracted that from work done by the applied force. Made that KE and used the second equation to solve for v which I got as 5.1.
 
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It is unclear what you are originally given and what you have deduced. Please start with a complete statement of the problem as presented to you, including either a diagram or a good verbal description of the set-up.
 
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