H3 Physics - HCI 2024 Newtonian Mechanics Tutorial with Solutions

Hwa Chong Institution (College) MOE H3 Physics 2024 1 H3 Physics 9814 - Newtonian Mechanics Problems 1 G.C.E. 'A' Level Physics Special Paper 2000 Question 7(c) Raindrops drip from rest from the edge of a roof at a height h above the ground. The drops leave the roof one after the other at a steady rate of n per unit time, where n is large. In the calculations which follow, neglect air resistance. (i) Find an expression, in terms of n, h and the acceleration of free fall g, for the number of drops in the air at any one instant of time. [2] (ii) Draw a sketch showing the approximate positions of the raindrops at the instant in (i). [1] (iii) Find, in terms of h, the height hmed above and below which equal numbers of raindrops are found, (hmed : the median height). [4] (iv) Find in terms of h, the average height <h> of the raindrops above the ground. [3] [ Hint: 12 + 22 + 32 + … + N2 = (N/6)(N+1)(2N+1)  N3/3 for large N.] 2 G.C.E. 'A' Level Physics Special Paper 2001 Question 1 A student, standing on the platform at Keppel Road Stat ion, Singapore, is watching the arrival of a train from Kuala Lumpur: She notes that the engine and the first carriage take 2.0 s to pass her, and the next two carriages take 2.4 s. The engine, and each of the carriages, is 20 m long. The braking deceleration of the train is constant. When the train comes to a stop, the student finds that the rear part of the last carriage is opposite her. (a) Calculate the deceleration of the train. [3] (b) Deduce the total number of vehicles (the engine plus the carriages) in the train. [3]

Hwa Chong Institution (College) MOE H3 Physics 2024 2 3 G.C.E. 'A' Level Physics Special Paper 2006 Question 10 A small object of density 900 kg m -3 is dropped into a very deep tank that contains water of density 1000 kg m-3. The object enters the water with a velocity of -7.00 m s-1, where the upwards direction is positive. (a) Assume that the object is not subject to a drag force as it moves through the water. (i) Calculate the maximum depth reached by the object and the total time from entering the water before it resurfaces. The hydrostatic upthrust experienced by a body of volume V when immersed in a fluid of density  is Vg, where g is the acceleration of free fall. [6] (ii) Sketch a full -page graph to show ho