Potential/conservation of energy

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SUMMARY

The discussion centers on calculating energy transformations during a rockslide involving a 340 kg rock sliding down a 500 m long and 300 m high hill with a coefficient of kinetic friction of 0.28. The gravitational potential energy (U) at the top is calculated to be 999600 J. The energy transferred to thermal energy due to friction is derived from the work done against friction, which is calculated using the normal force and the distance of the slide. The kinetic energy at the bottom and the speed of the rock can be determined from the conservation of energy principle.

PREREQUISITES
  • Understanding of gravitational potential energy (U = mgh)
  • Knowledge of kinetic energy formula (K.E. = 1/2 mv²)
  • Familiarity with the concept of friction and its coefficient
  • Basic trigonometry for calculating angles and forces on inclined planes
NEXT STEPS
  • Calculate the work done against friction using the formula E_{friction} = F_{friction} * s
  • Learn how to derive normal force on an incline using F_{N} = F_{g} * cos(α)
  • Explore the relationship between potential energy and kinetic energy in energy conservation problems
  • Study the effects of different coefficients of friction on energy loss during motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to explain energy transformations in real-world scenarios.

  • #31
no its 500 m long and 300 m high
 
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  • #32
using a^2+b^2=c^2 i found it to be 583.1

or should i use the 500
 
  • #33
ok that right sry
 
  • #34
ok part b is now correct for part c i need to find kentic enery.
 
  • #35
kappcity06 said:
using a^2+b^2=c^2 i found it to be 583.1

or should i use the 500

you mean that the horizontal length is 500 m ? then F_{N} must be recalculated with angle = tan^{-1} \frac{3} {5}

the rest is the same.

I thought the length of the hill you meant the hypotenuse of the triangle
 
  • #36
its ok 500 is correct length
 
  • #37
i need to work on part c now
 
  • #38
kappcity06 said:
i need to work on part c now

you get part b now by drawing a triangle and use geometry and the 2 vectors you need to draw from the gravitational force ?

--> you now have E_{friction} and you can go on with the energy balance i wrote down in one of my earliest replies.
 
  • #39
i got part c and d
thanks to all who hlepd i am really greatful
 

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