Work Incline Problem: Find Distance Up Incline for Block w/ No/Low Friction

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The problem involves a 230 g block compressed against a spring with a force constant of 1.20 kN/m, which is inclined at 60° to the horizontal. The task is to determine how far the block moves up the incline under two conditions: with no friction and with a coefficient of kinetic friction of 0.400. A participant confirms that the change in kinetic energy (∆KE) is zero since the block starts and stops at rest, indicating that initial and final velocities are both zero. This understanding is crucial for applying energy conservation principles to solve the problem. The discussion emphasizes the importance of correctly interpreting the energy states involved in the motion of the block.
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Homework Statement


A 230 g block is pressed against a spring of force constant 1.20 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Use energy considerations, determine how far up the incline the block moves before it stops under the following conditions.
(a) if there is no friction between block and ramp
(b) if the coefficient of kinetic friction is 0.400

I am not sure if my assumption is correct. The block starts is released at rest so the in\Deltaitial velocity is zero and the question is asking for the distance at rest so the final velocity is zero making
\DeltaK zero.
 
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xjasonx1 said:
I am not sure if my assumption is correct. The block starts is released at rest so the in\Deltaitial velocity is zero and the question is asking for the distance at rest so the final velocity is zero making
\DeltaK zero.

Hi xjasonx1! :smile:

(have a delta: ∆ :wink:)

Yes, ∆KE is zero. :smile:
 
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