You are provided with a grooved inclined plane, a solid sphere, a stopwatch, and other necessary apparatus.
(b)i. Write the equation for the velocity ratio of an inclined plane, giving the meaning of the symbols used.
ii. An object of mass 5kg is placed on a place inclined at an angle of 30° to the horizontal. Calculate the force on the object perpendicular to the plane when the object is at rest. (g =10ms\(^{-2}\)).
| \(\frac{t_{1}}{s}\) | \(\frac{t_{2}}{s}\) | mean \(\frac{t}{s}\) | w=\(\frac{D}{t}\) | v=dw | |
| 140.0 | 4.50 | 5.00 | 4.750 | 29.474 | 58.948 |
| 120.0 | 4.20 | 4.40 | 4.300 | 27.907 | 55.814 |
| 100.0 | 4.00 | 3.80 | 3.980 | 25.641 | 51.282 |
| 80.0 | 3.80 | 3.50 | 3.650 | 21.918 | 43.836 |
| 60.00 | 3.20 | 3.40 | 3.300 | 18.182 | 36.364 |
Slope = \(\frac{70-32}{5.6-2.3} = \frac{38}{3.3}\)
= 11.51
X = Slope 's" signifies acceleration due to gravity.
Precaution; i
(b)i. Velocity ratio (VR) of an inclined plane
VR = \(\frac{1}{sin \theta}\), where \(\theta\) is the inclination to the horizontal.
ii. Mass of an object = 5kg
Angle of inclination = 30°
Acceleration due to gravity 10m/s\(^{2}\)
F = mgsin \(\theta\)
F = 5 x 10 x sin 30°
= 5 x 10 x 0.5
= 25N
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