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Saliva

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UNIVERSITI TUNKU ABDUL RAHMAN

|Centre |: |Centre for Foundation Studies (CFS) | |Unit Code |: |FHSP 1014 |
|Course |: |Foundation in Science | |Unit Title |: |Physics I |
|Year/ Trimester |: |Year 1 / Trimester 1 | |Lecturer |: |Ms.Nurfadzilah |
|Session | | | | | |Mr Chin Kong Yew |
| |: |2014/05 | | | | |

Tutorial 1: Introduction

1. How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (f) 3236, and (g) 8700?

2. Write the following into scientific notation (a) 165 000 000 (b) 0.0446 (c) 0.0005 (d) 11 000

3. (a) The diameter of the earth is about 1.27 x 107 m. Find its diameter in (i) Millimeters, (ii) Mega-meters [Answer: 1.27(1010 mm; 12.7 Mm]

(b) Express the following sum to the correct number of significant figures/decimal places: 1.80 m + 142.5 cm + 5.34 × 105 (m [Answer: 3.76 m]

(c) Express the following using the prefixes: (i) 1×106 volts, (ii) 2×10−6 meters, (iii) 6×103 days, (iv) 18×102 bucks, (v) 8×10−9 pieces.

4. (a) The volume of a wallet is 8.50 in3. Convert this value to m3, where 1 in. = 2.54 cm. [Answer:[pic]m3]

b) A solid piece of lead has a mass of 23.94 g and a volume of 2.10 cm3. From these data, calculate the density of lead in SI units (kg/m3). [Answer: [pic]kg/m3]

5. A carpet is to be installed in a room of length 12.71 m and width 3.46 m. Find the area of the room, retaining the proper number of significant figures. [Answer: 44.0 m2]

6. In January 2006, astronomers reported the discovery of a planet comparable in size to the earth orbiting another star and having a mass of about 5.5 times the earth's mass. It is believed to consist of a mixture of rock and ice, similar to Neptune. If this planet has the same average density as Neptune (1.76 g/cm3), what is its radius expressed (a) in kilometers and (b) as a multiple of earth’s radius? Given that the earth has mass mE = 5.97 × 1024 kg, radius rE = 6.38 × 106 m, the volume of a sphere is [pic] [Answer: (a) 1.6 × 104 km; (b) 2.5rE]

7. If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, Find the dimension for constant . [Answer: [T]]

8. Newton’s law of universal gravitation is represented by [pic] Here F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI unit kg m s–2. What is the SI unit of the proportionality constant G? Determine the dimensions of G. [Answer: m3 kg–1 s–2 ;M–1L3T–2]

9. Determine the dimensions and the SI units of the following quantities: a) volume b) acceleration (velocity / time) c) density (mass / volume) d) force (mass × acceleration)

10. The speed, [pic] of an object is given by the equation v = At3 – Bt where t refers to time. What are the dimensions of A and B? [Answer: [A] = LT–4; [B] = LT–2]

11. Three students derive the following equations: (a) [pic] (b) [pic] and (c) [pic] which x refers to distance traveled, [pic] the speed, a the acceleration, and t the time. The subscript [pic] means a quantity at time t = 0. Which of these could possibly be correct according to a dimensional check? [Answer: (a) cannot be correct; (b) can be correct; (c) can be correct]

12. A shape that covers an area, A has a uniform height, h. Show that the volume, V = Ah is dimensionally correct.
13. When a sphere moves through a liquid at steady speed, the drag force is thought to depend on • The viscosity η of the liquid • The speed ν of the sphere • The radius r of the sphere. Assuming that F = k ηa νb rc, where k, a, b and c are dimensionless constants. (a) Find the values of a, b and c. (b) Express the formula in its simplest form. Given that the dimension of η is ML–1T–1 [Answer: a = 1, b = 1, c = 1; F = kηνr]

14. The equation of quantized time is [pic], where [pic]Planck constant [pic]mass of proton, and [pic]speed of light. (a) What is the dimension for Planck constant? [[pic]] (b) Write the SI unit of Plank constant. [[pic]]

15. Estimate the number of liters of water a human drinks in a lifetime. (Assume that the human take 8 glass of water per day, equal to 2 Liter) [Answer:[pic](105 L]

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