This booklet consists of 18 printed pages, inclusive of this page. For Examiner’s Use Paper 2 Q 1 / 11 Q 2 / 10 Q 3 / 6 Q 4 / 7 Q 5 / 9 Q 6 / 10 Q 7 / 9 Q 8 /18 Deductions Total / 80 HWA CHONG INSTITUTION JC1 Promotional Examination Higher 2 CANDIDATE NAME CT GROUP 13S TUTOR NAME PHYSICS PAPER 2 Candidates answer on the Question Paper. No Additional Materials are required. 9646/02 01 October 2013 1h 50 minutes INSTRUCTIONS TO CANDIDATES 1) Write your name, CT class and tutor’s name clearly in the spaces at the top of this page. 2) Answer all questions in the spaces provided in this Question Booklet. 3) For numerical answers, all working should be shown. You may use a soft pencil for any diagrams, graphs or rough working. Do not use paperclips, highlighters, glue or correction fluid. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question. A Data and Formula list is provided on page 2. You are reminded of the need for good English and clear presentation in your answers.
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Transcript
This booklet consists of 18 printed pages, inclusive of this page.
For Examiner’s Use
Paper 2
Q 1 / 11
Q 2 / 10
Q 3 / 6
Q 4 / 7
Q 5 / 9
Q 6 / 10
Q 7 / 9
Q 8 /18
Deductions
Total / 80
HWA CHONG INSTITUTION
JC1 Promotional Examination
Higher 2
CANDIDATE NAME
CT GROUP 13S
TUTOR NAME
PHYSICS PAPER 2
Candidates answer on the Question Paper. No Additional Materials are required.
9646/02
01 October 2013
1h 50 minutes
INSTRUCTIONS TO CANDIDATES
1) Write your name, CT class and tutor’s name clearly in the spaces at the top of this page.
2) Answer all questions in the spaces provided in this Question Booklet.
3) For numerical answers, all working should be shown. You may use a soft pencil for any diagrams, graphs or rough working. Do not use paperclips, highlighters, glue or correction fluid.
INFORMATION FOR CANDIDATES
The number of marks is given in brackets [ ] at the end of each question or part question.
A Data and Formula list is provided on page 2.
You are reminded of the need for good English and clear presentation in your answers.
1 A small ball P, illuminated by a lamp flashing at a constant frequency, is rolling along a smooth horizontal table towards the edge. Fig. 1 shows part of a multi-flash photography of the motion of ball P with square grids drawn onto the photograph for ease of reference.
At the instant when P reaches the edge of the table, another ball Q is dropped from rest. At the next two flashes of the lamp, ball Q appears at positions Q1 and Q2, respectively.
Fig. 1
(a) On Fig. 1, indicate accurately
(i) the position of ball Q for the next flash of the lamp. Label this position as Q3. [1]
(ii) the corresponding positions of ball P when ball Q is at positions Q1, Q2 and Q3. Label these positions as P1, P2 and P3, respectively.
[1]
(b) The stroboscopic lamp flashes at a rate of 8.0 Hz.
(i) Determine the time taken for ball Q to fall from rest to position Q2.
(b) (ii) Hence, determine the length of each square grid that is drawn on the figure.
Length = m
[2]
(c) (i) Determine the horizontal velocity of ball P just before it hits the floor.
Horizontal velocity = m s-1 [1]
(ii) With the aid of Fig. 1 and using the value found in (c)(i), further determine the final velocity ball P just before it hits the floor.
Magnitude of velocity = m s-1
Direction of velocity =
[3]
(d) Another ball R is launched at the same speed as ball P, but at an angle above the horizontal from the edge of the table. Explain if it is possible for ball R to land at the same spot as ball P.
(b) A man supports himself on the centre of a uniform wooden plank by holding onto the ends of two light ropes as shown in Fig. 2.1. The other ends of the two ropes are tied to the wooden plank over two light and frictionless pulleys. The tensions of the left and right ropes are equal in magnitude. The wooden plank remains horizontal at all times. The mass of the man and wooden planks are 70.0 kg and 10.0 kg, respectively.
Fig. 2.1
(i) Draw and label on Fig 2.2 the forces acting on the system comprising of the wooden plank and the man.
3 Fig. 3 shows David the cyclist rounding a corner. David and his bicycle have a combined total mass of 70 kg. When the road is dry, the maximum friction between the tires and the road is 0.50 R, where R is the normal contact force the road surface exerts on the tyre.
(a) Draw and label on Fig. 3 the forces acting on David and his bicycle as he rounds the corner.
Fig. 3
[2]
(b) Calculate the minimum radius the corner must have for David to round it at 28 km h-1.
minimum radius = ………………….. m
[2]
(c) Explain whether David can round the same corner at the same speed on a rainy day. [2]
4 Mars has got two moons, Phobos and Deimos. The orbital distances and periods of Phobos and Deimos are 9 378 km and 23 459 km and 7.6 and 30.3 hours, respectively. The radius of Mars is 3 390 km.
(a) Explain what is meant by gravitational potential. [2]
………………………………………………………………………………………………………………..
………………………………………………………………………………………………………………..
………………………………………………………………………………………………………………..
(b) Use the values for Phobos to show that the mass of Mars is 6.5 x 1023 kg.
[2]
(c) Ignoring the gravitational field of the two moons, calculate the escape velocity, i.e. the minimum speed a body must have in order to escape to an infinite distance from the surface of Mars.
(b) A spring-mass system is placed on a smooth horizontal surface, as shown in Fig. 5. The object of mass 0.30 kg is displaced 5.0 cm to the right of the equilibrium position and then released. The oscillating system has a total energy of 60 mJ.
Fig. 5
(i) Show that the angular frequency of oscillation is 12.6 rad s-1.
[1]
(ii) Determine the following:
1. speed of the mass at a displacement of 3.0 cm from the equilibrium position.
2. acceleration of the mass at a displacement of 3.0 cm from the equilibrium position.
acceleration = ………………….. m s-2
[1]
3. the potential energy of the mass at a displacement of 3.0 cm from the equilibrium position.
potential energy = ………………….. J
[1]
(c) Taking into account the effect of air resistance and friction, sketch the variation with time of the potential energy for this system for the first two complete oscillations.
6 Fig. 6 shows the variation with time t of P, the pressure difference with respect to atmospheric pressure, at a point in a progressive sound wave in air. The speed of the wave in air is 340 m s-1.
Fig. 6
(a) (i) Explain whether this wave can be polarized.
(c) This sound wave is emitted by a point source. Explain why the intensity of the sound wave is inversely proportional to the square of the distance from the point source.
8 (a) State the principle of conservation of momentum. [2] ………………………………………………………………………………………………………………...…… ………………………………………………………………………………………………………………...…… ………………………………………………………………………………………………………………...…… (b) A trolley of mass 6.0 kg travelling at a speed of 5.0 m s-1 collides head-on and locks together with
another trolley of mass 8.0 kg which is travelling in the opposite direction at a speed of 3.0 m s-1 (Fig. 8.1). The collision lasts for 0.30 s.
Fig. 8.1
(i) Show that the final speed of the trolleys after the collision is 0.43 m s-1. [1] (ii) Calculate the work done on the 6.0 kg trolley during the collision.
work done = ……………….. J [2] (iii) Calculate the impulse acting on the 8.0 kg trolley during the collision.
(c) The trolleys are modified by attaching a spring to one of the trolleys (Fig. 8.2) so that the collision is now elastic. The spring has a spring constant of 950 N m-1. The experiment is then repeated with the same initial velocities.
Fig. 8.2
(i) Which trolley should come to rest first during the collision? Explain. [2] …………………………………………………………………………………………………................…… …………………………………………………………………………………………………................…… …………………………………………………………………………………………………................…… …………………………………………………………………………………………………................…… (ii) At one instant during the collision, the 6.0 kg trolley was travelling at a speed of 2.0 m s-1
towards the left. 1. Show that the speed of the 8.0 kg trolley is 2.25 m s-1 at this instant. [1] 2. Hence, calculate the compression of the spring at this instant.
(d) The experiment is repeated using another set of two trolleys of different masses and different initial speeds (Fig. 8.3). The variations with time of the velocities of both trolleys are shown in Fig. 8.4a.
Figure 8.3
Fig. 8.4a
i) Bearing in mind that the collision is elastic, complete the graph in Fig. 8.4a to show the variation
ii) Sketch in Fig. 8.4b the variation with time of 1. force experienced by trolley A (label FA) and 2. force experienced by trolley B (label FB). [2]
Fig. 8.4b
iii) Sketch in Fig. 8.4c the variation with time of 1. the total kinetic energy of the two trolleys (label KE) and 2. the elastic potential energy stored in the spring (label EPE). [2]