measurement (answers)

8/18/2019 Measurement (Answers)

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Chapter 10 – Measurement

Q.I) Multiple choice questions. Tick the correct answer from the options given below.

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1. Which property of a body can be measured in newtons? (%)a. densityb. massc. volumed. weight

2. A cup contains hot liquid. Some of the liquid evaporates as it cools. What

happens to the mass and to the weight of the liquid in the cup as it cools? (!)

. !he dia"rams show a rectan"ular bo# with inside measurements of $ cm % & cm % ' cm.

(6)

What is the density of the liquid?

a.220

5×6×4 g / cm

3

b.(220−40)5×6×4 g /

cm3


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c.5×6×4

220 g / cm

3

d.

5×6×4

(220−40) g / cm

3

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'. Which statement about the masses and wei"hts of ob(ects on the )arth is correct? (%)a. A balance can only be used to compare weights, not masses.b. Heavy obects always have more mass than light ones.c. !arge obects always have more mass than small ones.d. "ass is a force but weight is not.

$. !he table shows the wei"ht in newtons of a10 *" mass on each of four planets. (!)

#he diagram shows a force meter $spring balance% being used.

&n which planet is the force meter $spring balance% being used?a. 'arthb. (upiterc. "ercuryd. )enus

*. Which items of apparatus are required to determine the density of a liquid? (6)


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a. balance and measuring cylinderb. balance and thermometerc. metre rule and measuring cylinderd. metre rule and thermometer

+. Which property of an ob(ect cannot be chan"ed by a force? (')

a. its massb. its motionc. its shaped. its si+e

(0625_s10_qp_11),. A scientist needs to determine the -olume of a small irre"ularly shaped roc* sample.

/nly a rule and a measurin" cylinder partially filled with water are a-ailable. ($)

#o determine the volume, which apparatus should the scientist use?a. both the measuring cylinder and the ruleb. neither the measuring cylinder nor the rulec. the measuring cylinder onlyd. the rule only

. A student uses a stopwatch to time a runner runnin" around a circular trac*. !he runner

runs two laps twice around the trac*. !he dia"rams show the readin" on the stopwatch

when the runner starts runnin" at the end of the first lap and at the end of the second

lap. ()

What is the time ta*en for the runner to run the second lap?


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a. min - sb. 1 min 1 sc. 1 min 1 sd. / min s

10. !he "raph shows how wei"ht -aries with mass on planet 3 and on planet 4. (6)

An ob(ect wei"hs '00 5 on planet 3. !he ob(ect is ta*en to planet 4.Which row is correct?

11. !he dia"ram shows a rectan"ular bloc* of density 2 " 6 cm3

(')

What is the mass of the bloc*?a. / gb. * gc. 10 gd. /0 g

1/.Which statement about a mo-in" ob(ect is correct? ()

a. When an obect is accelerating, the resultant force acting on it must equal+ero.


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b. When an obect is moving at a steady speed, the air resistance acting on itmust equal +ero.

c. When an obect is moving at a steady speed, the resultant force acting onit must equal +ero.

d. When an obect is moving, there must be a resultant force acting on it.

1. An e#periment is carried out to measure the e#tension of a rubber band for differentloads. !he results are shown below. (#)

Which fi"ure is missin" from the table?a. 1./b. 1.c. 1.0

d. 1.*

(0625_w10_qp_11)1'. 7our athletes run twice around a trac*. !he table shows their times at the end of each

lap. Which athlete runs the second lap the fastest? ()

1$. !he readin" on a sprin" balance with a holder and ei"ht identical discs is .0 5.8i# discs are remo-ed and the readin" becomes 1.2 5. (6)

What is the wei"ht of one disc?


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a. ./ 2b. . 2c. .- 2d. .* 2

1&. A student is tryin" to find the density of water and of a lar"e re"ularly shaped concrete

bloc*. (')Which apparatus is needed to find the density of both the water and the concrete bloc*?a. balance, cloc3, measuring cylinderb. balance, cloc3, rulerc. balance, measuring cylinder, rulerd. cloc3, measuring cylinder, ruler

1+. A force acts on a mo-in" rubber ball.Which of these chan"es could not happen to the ball because of the force? ()a. a change in directionb. a change in massc. a change in shape

d. a change in speed

1,. !he e#tension 6 load "raph for a sprin" is shown. !he unloaded len"th of the sprin" is

1$.0 cm. (#)

When an ob(ect of un*nown wei"ht is hun" on the sprin" the len"th of the sprin" is 1&.'

cm. What is the wei"ht of the ob(ect?a. .-- 2b. .* 2c. .- 2d. 0.1 2

Q.II) nswer the following.0&2$9s109qp92 : 2

1. Four students, A, B, C and D, each have a spring. They measure the lengths of their

springs when the springs are stretched by different loads.Their results are shown in Fig. 2.1.


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length = ................................................. [2]

(06!"s$$"qp"$) * $. Fig. 1.1 shows a measuring cylinder containing water.

Fig. 1.2 shows the same measuring cylinder after stone A has been lowered into it on a

finestring.

Fig. 1.1 Fig. 1.2

(a) Calculate the volume of stone A.

volume = .......................... cm3

(b) The mass of stone A is measured as 40.5 g.

Calculate the density of the rock from which stone A was formed.

density = ................................. [4]

(c) Stone B, from the same rock as stone A, has a larger volume.

Stone A is removed from the water and replaced by stone B. The measurements are then

repeated.

Which of the values in the experiment will be different when using stone B?

Tick boxes alongside any of the quantities that will have changed.

60.4 cm3

40.5 g

Density

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+. The volume of a stone is to be found using the equipment illustrated in Fig. 1.1.


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The following five steps are intended to describe how the volume of the stone is found.

Complete the sentences by adding appropriate words.

(a) Pour some.........................................into the measuring cylinder. [1]

(b) Take the reading of the ....................................... from the scale on the measuring

cylinder.

(c) Carefully put .............................................. into the measuring cylinder.

(d) Take the new reading of the ....................................... from the scale on the

measuring cylinder.

(e) Calculate the volume of the stone by...................................................................................................................................................................................................................

............................................................................................................................................

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'. Complete the table below to identify the physical quantities as scalars or vectors.

0&2$9s129qp921 : 2

5.A student carries out an experiment to find the density of water, using a method that is

slightly different from normal. In his method, he starts with a measuring cylinder

containing some water, and then adds more water to that already in the measuring

cylinder.

His experiment is illustrated in Fig. 2.1.


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The readings he obtains are as follows:

reading 1 53 cm3

reading 2 84 cm3

reading 3 205 g

reading 4 238 g

Calculate

(a) the volume of the added water,

volume = .........................................

cm3

(b) the mass of the added water,

mass = ............................................. g

(c) the density of water, stating clearly the equation you are using.

density = .................................................

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6.The period of the vertical oscillations of a mass hanging from a spring is known to be

constant.


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(a) A student times single oscillations with a stopwatch. In 10 separate measurements,

the stopwatch readings were:

1.8 s, 1.9 s, 1.7 s, 1.9 s, 1.8 s, 1.8 s, 1.9 s, 1.7 s, 1.8 s, 1.8 s.

What is the best value obtainable from these readings for the time of one oscillation?

Explain how you arrive at your answer.best value = .....................................................................................................................

explanation......................................................................................................................

..........................................................................................................................................

.....................................................................................................................................

(b) Describe how, using the same stopwatch, the student can find the period of

oscillation more accurately.

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

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7.The electrical output of a solar panel powers a pump. The pump operates a water

fountain. The output of the solar panel is 17 V and the current supplied to the pump is

0.27 A.

The pump propels 0.00014 m3of water per second. This water rises vertically as a jet.

The density of water is 1000 kg / m3

.

Calculate

1. the mass of water propelled by the pump in 1 second,

mass = .................................................

2. the maximum height of the jet of water. If the surface area of the base is 160

m2

maximum height = .................................................

(0625_s13_qp_22) – 3a

8.A spring is hung from a support. A load, hung on the spring, makes it extend.

Describe how you would use a ruler to measure the extension.

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

......................................................................................................................................


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(0625_s13_qp_22) – 3bQ.III) lternative to practical

$. A spring is hung from a support. A load, hung on the spring, makes it extend.

The lengths of the spring are found for loads of various weights. From these lengths, the

extensions are calculated. Most of the results are shown in the table below.

(i) Calculate the two missing values and insert them in the table.

(ii) On Fig. 3.1, plot the values of extension against load, but do not draw the line yet.


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Fig. 3.1(iii) A mistake was made with one of the length values.

State the value of the length that is incorrect. ..................................................

(iv) Ignoring the value in (iii), draw the best-fit straight line through your points and the

origin.

(v) Complete the following sentences.

Within the limits of the experiment, when the load doubles, the extension of the spring

............................................................. .

The straight-line graph through the origin shows that the extension and the load are

............................................................. .

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2.An IGCSE student is making measurements as accurately as possible in order to

determine the density of glass.

Fig. 1.1 shows a glass test-tube drawn actual size.


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Fig 1.1

(a) (i) Use your rule to measure, in cm, the external diameterd of the test-tube.

d = .......................................cm

(ii) Use your rule to measure, in cm, the length x of the test-tube.

x =............................................

(iii) Draw a labelled diagram to show how you would use two rectangular blocks of wood

and your rule to measure the length x of the test-tube as accurately as possible.


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(b) The massm of the test-tube is 31.2 g.

(i) Calculate the external volumeV eof the test-tube using the equation

V e=d2

x

4

.

V e=............................................

(ii) The student then fills the test-tube with water and pours the water into a measuring

cylinder. Fig. 1.2 shows the measuring cylinder.

Fig 1.2

Record the volume readingV ifrom the measuring cylinder. This is the internal volume of the

test-tube.

V i=............................................


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(iii) Calculate the density ρ of the glass from which the test-tube is made using the equation

ρ =m

V e−V i

.

ρ = .......................................

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3.Table 5.1 shows some measurements taken by three IGCSE students. The second

column shows the values recorded by the three students. For each quantity, underline

the value most likely to be correct.

The first one is done for you.

Table 5.1

measurement (answers)

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