TUTO 1 SHF1215

Assalamualaikum everybody...

This is tuto 1 from chapter 1.please try these questions by your own,if there any problems,please let me know,u can write to me via email or through this blog.

U can also download this tutorial in microsoft word(tutorial1A.doc file) at the right side of this blog.

Selamat mencuba..!

TUTORIAL 1A

1. The unit Js-1 can be used as the unit of power instead of watt. Give the derived units and dimensions for each of the following quantities:
a. Work
b. Pressure
c. Frequency
d. Force
e. Momentum

2. For each of the following, convert the measurement into the given units and give your answer in standard scientific notation


640 m = _________________mm
10.08 kg= ________________mg
0.0078 m3 = _________________dm3
0.067 g/cm3 = ______________g/dm3
204.0 kg = ________________ mg
503.8 cm3 = ________________ litres
0.0025 m3 = ________________ dm3
25.9 litres = ________________ kilolitres
60 km/h = _________________ m/s


3. Convert:
a. Speed of 110km/h into mph
b. 16.6 km2 into m2
c. Speed of 36kmh-1 into ms-1
d. Pressure of 20Ncm-2 into Pa (Nm-2)
e. Density of 2.5 gmm-3 into kgm-3
f. Time of 1220 000min-1 into s-1
g. Area of 4.0 in2 into mm2

4. The density, ρ and the pressure, p of a gas are related by the expression
where c and  are constant
i. Determine the base unit of density, ρ.
ii. Show that the base unit of pressure, p are kgm-1s-2 (Hint: p = F/A)
iii. Given that the constant  has no unit, determine the unit c, hence suggest what quantity may be represented by the symbol c.


5. A recent theory suggests that time may be quantized and that the quantum or elementary amount of time, t is given by the equation where h is the Plank’s constant of unit Js, mp is the proton mass and c is the speed of light.
a. Determine the dimension of Plank’s constant, h
b. Show that this equation is dimensionally correct


6. For each of the following calculations give the answer with the correct number of significant figures or decimal places. Do not forget the units.
a. 20.9 mm + 20.9 cm
b. 0.1790 mm2  1.04 mm
c. 1.00  103 g  999.0 cm3
d. 2.528 cm + 93.4 mm ____________________________
e. 9.823 g/cm3 ×6.1×10−3 cm3___________________________
f. 234 m/s ÷ 84 s ____________________________

7. Calculations from measurements made in experiment produce a value for the acceleration due to gravity, g. Following are ways of presenting the value of g. For each of the ways, state and explain whether it is correct.
a. g=(9.821 ± 0.1)ms-2
b. g=(9.82 ± 0.002)ms-2
c. g=(9.8 ± 0.2) ms-2


8. When comparing systematic and random errors, the following pairs of properties of errors in an experimental measurement may be contrasted:
P1: error can possibly be eliminated
P2: error cannot be eliminated
Q1: error is of constant sign and magnitude
Q2: error is of varying sign and magnitude
R1: error will be reduced by averaging repeated measurements
R2: error will not be reduced by averaging repeated measurements

Which properties apply to random errors?

9. A force of 40N acts an angle of 30o to the horizontal plane. What are the horizontal and vertical component of the force?


10. Two vectors a and b are at right angles to each other. Draw vector diagrams to obtain
a. a+b
b. a-b
What are the magnitudes of (a+b) and (a-b) in terms of the magnitudes a and b of the vectors.


11. Figure shows two forces acting at a point O. Find the magnitude and direction of the resultant force.



12. Two forces F1 and F2 of magnitude 15.0 N and 10.0N respectively are applied at point O in figure above. Both forces are inclines at angle 50o to the x-axis.
Calculate:
a. The x and y components of each of the forces
b. The vector sum of the x-components of these forces
c. The vector sum of the y-components of these forces
d. The resultant of these forces (ans:19.5N, 80.5o)

13. Figure above shows four forces acting at a point O. Fill in below table for each force and find the magnitude and direction of the resultant force. (ans: 119 N, 143o)