(a) A child slides down a water slide at an amusement park from an initial height h . The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
(a) A child slides down a water slide at an amusement park from an initial height h . The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
Solution Summary: The author explains that the equation for conservation of mechanical energy is applicable for the child in the water slide.
(a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
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C01: Physical Quantities, Units and Measurements
4
A student wanted to measure the diameter of a cylindrical water bottle.
Which of the following gives the most accurate measurement?
A
B
CD
Take three measurements of the diameter using a rule before finding the
average.
Take three measurements of the diameter using a digital micrometer screw
gauge, resetting to zero before every measurement before finding the
average.
Take three measurements of the diameter using the digital calipers,
resetting to zero before every measurement before finding the average.
Take three measurements of the diameter using the digital calipers without
resetting to zero before every measurement before finding the average.
The resultant force FR acting on an object is given by, FR = ma, where m is the mass of
the object in kg and a is the acceleration of the object in m/s².
Which unit is equivalent to the unit for force?
A
B
с
D
kg ms²
kg m²s
kg m/s²
kg m²/s²
adt to…
C01: Physical Quantities, Units and Measurements
10 A student uses a rule to measure a thin piece of wire.
wire
0 1
cm
2
3
4
5
5 6 7 8
9 10 11 12 13 14
15
(a) State two errors in the student's measurement of the length of wire.
[2]
The student records the length of the wire as 12.8 cm.
[E]
The student is asked to measure the thickness of the wire using a pencil and the
same rule. Suggest how this can be done as accurately as possible.
[4]
(b) The student finds out that the density of the wire is 2.7 g/cm³. Express 2.7 g/cm³ in
kg/m³.
[2]
to V emulov or worl?
гавтоха
[E11 The length of a sheet of plastic is measured using a 15 cm rule.
eq
8
5
Imm 1
2
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3
3
5
7
8
10
11 12
13
14
L
ins
15
sem of beiupe
stipib e elun olfastq e riliw bei
inebulz A
H
com al Jari Inemundeni or ezoori (s)
re the
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more
m
C01: Physical Quantities, Units and Measurements
8
The following shows a pencil.
(a)
pencil
sharpened
section
Describe how you would use a piece of string and a rule to determine the
circumference c of the unsharpened section of the pencil.
[3]
nd pupp
e
e E
(b)
The student's value for the circumference c is 2.5 cm.
Suggest a source of error in determining the circumference of the pencil.
[1]
ntit
ble
Ec
et
(c)
Show the volume V of the unsharpened section of the pencil is V = c²x
[3]
ΑΠ
55
sn
ar
2
72
C:
or
n/
el
D
a
7
9
(d)
Express the volume VE of the sharpened section of the pencil in terms of c and y.
pilasi to leeries to rignal on [3]
State any assumptions made. lau besser
A student is required to measure the thickness of a ream of 500 sheets of A4 size paper.
He is supplied with a plastic rule, a digital micrometer screw gauge and a pair of digital
calipers.
(a) Choose the instrument that is most suitable to measure the thickness of the ream of
paper. Give two…
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