☰ Contents · Physics

Efficiency of an inclined plane and collisions

Lessons 15–16 · 2 lessons · N. Sh. Turdiyev, K. A. Tursunmetov, A. G. Ganiyev, K. T. Suyarov, J. E. Usarov, A. K. Avliyoqulov. Physics Grade 10, 1st edition. Niso Poligraf Publishing House, Tashkent, 2017
15

Laboratory work: determining the efficiency of an inclined plane

Textbook: pp. 51–52
GoalDetermine the efficiency of an inclined plane experimentally.
New words
dynamometer (spring scale) · dinamometruseful work · foydali ishtotal work · to‘la ishstand (tripod) · shtativ
Explanation

The aim is to determine the efficiency of an inclined plane and to check how it depends on the angle. Equipment: a long thin board, a clamp stand, a wooden block, a set of weights, a dynamometer, a measuring tape. Fix the board in the stand at a slope and measure its length l and height h. With the dynamometer find the weight P of the block (with its load). Then pull the block steadily, without jerks, along the board with the dynamometer and record the reading F. The useful work is Aᵤ = P·h, the total work Aₜ = F·l, and the efficiency η = Aᵤ/Aₜ·100%. Repeat at least 3 times, put the results in a table, then change the height (another angle) and measure again. Usually when the angle grows the share of friction falls and η rises. Sources of error: dynamometer accuracy, uneven pulling, the tape measure. Safety: clamp the stand firmly so the board cannot fall, use no heavy loads, and keep fingers out from between the block and the board.

Worked examples
P = 6 N, h = 0.5 m, F = 4 N, l = 1 m: useful work 6·0.5 = 3 J, total work 4·1 = 4 J, η = 3/4·100 = 75%.
On a steeper plane (h = 0.6 m) F = 4.5 N, with P = 6 N and l = 1 m: Aᵤ = 3.6 J, Aₜ = 4.5 J, η = 80% – the efficiency rose with the slope. Friction still takes part of the work, so η < 100%.
Class activity

In class: prepare your table (l, h, P, F, Aₜ, Aᵤ, η). Practise with sample numbers from the teacher and compare results over 3 trials. Do not release the dynamometer suddenly.

Practice
1
How are the useful and total work found on an inclined plane?
2
P = 5 N, h = 0.4 m, F = 2.5 N, l = 1 m. What is η in per cent? (Aᵤ = 2 J, Aₜ = 2.5 J)
3
The pulling force on the block is 3 N and l = 2 m. What is the total work (J)?
4
Why must the block be pulled steadily and without jerks with the dynamometer?