A Simple Mechanics Problem: Help with Calculating Forces and Energy

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SUMMARY

The discussion centers on calculating forces and energy in a mechanics problem involving a spring and an inclined plane. The user correctly calculates the force exerted by the spring as 140N and the work done by the spring as 7J using the formula (1/2)kx^2 with k=1400 N/m and x=0.1m. The total distance along the incline is 6.6m, which is crucial for determining the maximum kinetic and potential energy of the block. Clarification is needed on the correct distance to use for work calculations and the relationship between potential energy and the incline.

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  • Understanding of Newton's laws of motion
  • Familiarity with spring mechanics and Hooke's Law
  • Knowledge of gravitational potential energy and kinetic energy formulas
  • Basic principles of inclined planes in physics
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  • Study the application of Hooke's Law in real-world scenarios
  • Learn how to calculate work done on an incline using the formula w=mgcosθ
  • Explore the concepts of maximum kinetic and potential energy in mechanical systems
  • Investigate energy conservation principles in spring and incline problems
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can anyone help me on the second question?
i found the part a is
1400 * 0.1 m = 140N,
part b is 6.6m, part c is 14J, part d is
but i don't know how to do the last two part... help please!
is this correct?
w=mgcos60 x 6.6m = 6.468 J..
i don't know which distance should i use~
0.1m or 6.6m?
0.1m is form the spring and 6.6 is the total distance..
how to find the maximum kinetic and potential energy of the block?
 
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Are you certain that the distance up the incline and the work by the spring that you calculated are right?

For the work by the spring... won't it just be (1/2)kx^2 = (1/2)(1400)(0.1)^2 = 7J ?

I'm assuming the spring is compressed at 0.1m and then released?
 

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