Answer all question. [ 100 m ]

1. Write dimension for the following physical quantity

a) Acceleration

b) Young’s modulus

c) Torque

[6m]

2. Determine the equation is homogeneous or not homogeneous [ 4 m ]

v2 = u2 + 2as

3.Use the dimension analysis to obtain an expression which shows how the momentum p depends on the force, F , mass, m, and the length, l . [ 6 m ]

4. The figure shows 3 force F1 , F2 , and F3 acting on a point O. Calculate the resultant force and the direction of resultant. [ 6 m ]

5N

F2 1500

F1 3 N

1200

F3

4 N

5. Discuss the ways of minimizing systematic and random errors. [4 m]

6. A bus travels at straight road with the speed of 24 m/s decrease uniformly to 8 m/s by traveling 40 m. Calculate:

a) The deceleration of the bus.b) The time taken for the decelerationc) Total distance travels before the bus stop.

[ 6m ]

7. A 50 kg guy jumps from a 5 m building. He bends down his leg to increase the duration. However, he stops within 2 s. Calculate the: [ 5 m ]

a) Impulse

b) Force

8. A small object is held in equilibrium by the strings shown in the diagram. The tension in the strings is shown in the diagram. If the system is in equilibrium, what is the weight of the object? [ 6 m ]

T

100 N 300

W

9. Two stars of mass 6.0 x 1032 kg are 1.4 x 1016 m apart. The net gravitational force is zero at a point P between the two stars and the distance of this point from the bigger star is r. What is the distance r ?

6.0 x 10 32 kg

P 9.0 x 10 30 kg

r

1.4 x 10 16 m [ 6 m ]

10. The mass of a star is 2.0 x 10 30 kg and its radius is 1.5 x 10 6 m. Find the gravitational field strength at

a) The surfaceb) 1.0 x 10 6 m above the surface of the star[ G = 6.67 x 10 -11 Nm2 kg-2 ]

[ 6m ]

12. A satellite orbits the earth with period of rotation 2 hours. Given that the mass of the earth is 6.0 x 10 32 kg and the radius of the earth is 6.4 x 10 6 m. Calculate :

a) The height where the satellite is orbitingb) The speed of the satellite[ G = 6.67 x 10 -11 N m2 kg-2 ] [ 6 m ]

13. a) A simple pendulum oscillates with period 2.0 s and amplitude 50 mm. Calculate

i) The frequencyii) Its acceleration when it is 20 mm from the mid pointiii) Its maximum speed. [ 6 m ]

b) A particle moves with simple harmonic motion has an amplitude of 0.20 m and period 12 s. Find

i) The maximum speedii) The maximum acceleration of the particle. [ 5 m ]

14. State differences between progressive wave and standing wave. [ 4 m ]

15. A progressive wave moving along a string under tension is described by the equationy = 0.020 sin ( 120t – 8x )

where y is the displacement of the particles and x is the distance of particle from the source. Find :

a) The amplitude of waveb) The wavelength of the traveling wavec) The frequency of oscillationd) The speed of propagation of the wave. [ 6 m ]

16. When a load of 100 N is hung at the end of a long thin wire of diameter 0.8 mm and of length 50.0 cm, the extension produced is 2.0 cm.

a) What is the stress on the wireb) What is the strain in the wirec) What is the Young modulus [ 6 m ]

17. A support cable on a bridge has an area of cross-section of 0.0085 m 2 and a length 40m. It is made of high tensile steel whose Young modulus is 2.8 x 1011 Pa. The tension in the cable is 750 kN.

a) Calculate the extension of the cableb) Calculate the strain energy stored in the cable. [ 6 m ]

18. The standard temperature and pressure (STP) is defined a temperature of 273 K and pressure of 1 atmosphere or 1.013 x 10 5 Pa. Calculate the density of oxygen at STP if the mass of 1 mole oxygen gas is 32 g. [ 6 m ]

SMK SERI ROMPIN26810 KUALA ROMPIN

PAHANG DARUL MAKMUR

FINAL EXAM 2006

LOWER SIX

PAPER 2

2 1/2 HOUR