INTEC2018/FRPH01
QUIZ 1 (FRPH01)
30 minutes
20 marks
Name: ………………………………………………………......
Group: …………………….
Answer all questions in the space provided.
1. Earth is approximately a sphere of radius 6.37 x 108 cm. What are
(a) its circumference in kilometers?
(2 marks)
(b) its square area in square kilometers?
(2 marks)
(c) its volume in cubic kilometers?
(2 marks)
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INTEC2018/FRPH01
2. The density of gold is 1.93 m x 103 kg/m3. Express this density in g/cm3.
(2 marks)
3. The mass, m1 from a pile of driver falls from a height, h onto a pile of mass, m2, driving the
pile a distance, s into the ground. The pile driver remains in contact with the other pile after
the impact. A resistance force, R opposes the motion of the pile into the ground. Elizabeth
finds an expression for R as
R=
g
h(m1 )2
[s(m1 +m2 )+
]
s
m1 +m2
where g is the acceleration due to gravity.
Determine whether the expression is dimensionally consistent.
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(3 marks)
INTEC2018/FRPH01
4. The four finalist in a hog-calling contest are brought to the center of a large, flat field. Each
is given a meter stick, a compass, a calculator, a shovel and (in a different order for each
contestant) the following three displacements:
63.5 m, 52.0º west of north;
12.6 m straight north;
81.9 m, 41.0° south of east.
The three displacements lead to a point where the keys to a new Porsche are buried. The
finder will get the Porsche. Three of the four contestants start measuring immediately, but
another one contestants who is a winner, start calculates where to go
(a) Using a tail-to-tip method, sketch the resultant displacement to find the keys to the
Porsche.
(2 marks)
(b) What magnitude and direction does the winner calculate for the displacement to find
the keys to the Porsche?
(7 marks)
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INTEC2018/FRPH01
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