Physics · Practical apparatus

Double-incline energy transfer

Release a cart from rest on one slope and measure the rise on the second. Without losses it regains its original height irrespective of slope; friction lowers the return height.

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Double-incline energy transfer

இழப்பு இல்லாமல் வண்டி இரண்டாம் சாய்வில் அதே உயரத்தை அடையும். உராய்வு காரணமாக மீளும் உயரம் குறையும்.

Key notes, relationships and model limits

Key relationship

h₂=h₁(1−µcotθ₁)/(1+µcotθ₂), if descent is possible.

Practical tip

Release a cart from rest on one slope and measure the rise on the second. Without losses it regains its original height irrespective of slope; friction lowers the return height.

Common trap

Equal final and initial heights require no energy loss. First check that the block can descend under the chosen friction.

Model limits

point cart without wheel rotation; constant kinetic friction. If gravity cannot overcome drag, the model reports no descent rather than a negative height.

What you will learn

Adjust double-incline energy transfer apparatus, observe its reading and derive the indicated physical quantity.

Try the experiment

Try both scenarios, change one control, and predict the result before checking the graph and readouts.

Think of it this way

Change one input while keeping the others fixed, as you would in a controlled experiment.

Worked example

From h₁=1 m, an ideal frictionless cart climbs to h₂=1 m for any positive second slope angle.

Why this matters

The model connects double-incline energy transfer with an observable reading. Check the equation and assumptions before applying it.

Before you start

SI units · algebra · graph reading

Check your understanding

With no friction, changing the second incline angle changes maximum vertical height how?

It doubles when the angle doubles.
The height remains equal to the release height.
It depends only on the second incline length.

Read the explanation

The height remains equal to the release height.

Course connection: Virtual apparatus preparation. Check exact board/exam membership in the syllabus sources. Physical practical work remains necessary.