2k9 Sample Ct1
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Physics 5058 – CT1 Preparation – Take Home Mock Test – One Hour (ANSWERS) Instructions to candidates: • • • •
1 (a)
Start the test at 8am sharp. Write your answers on prescribed papers. Inform everyone in the household not to disturb you from 8am till 9am. Stop writing at 9am sharp.
Distinguish between mass and weight.
[3]
(a)
(b)
Write down the relationship between mass and weight.
(c)
Name a device each for measuring (i) mass and (ii) weight. Just as a car (C) starts to accelerate from rest with an acceleration of 2.0 m/s2, a [2] bus (B) moving with a constant speed of 10 m/s passes it in a parallel lane.
2 (a)
(a)
Sketch a velocity-time graph for these vehicles on the axes given here. Label the axes clearly and correctly.
(b)
[2] How far will the car have gone when it overtake the bus? [Solutions by equations of motion are not accepted.]
3
Marcus throws a pebble vertically upwards with a velocity of 10 m/s near the edge of a cliff of height 20 m. A B
C
Page 2 of 5
The velocity-time graph below shows the upward and subsequent downward motion [3 of the pebble until it hits the base of the cliff. ] Assuming that air resistance is negligible, take acceleration due to gravity to be 10 m/s2, complete the following statements:(a) At A, the velocity of the pebble is _____ m/s at time = ____ s (b) At B the velocity of the pebble is _____ m/s at time = ____ s
4 (a) Distinguish between a random error and a systematic error in the measurement of a [2 physical quantity. ]
(b) The figure below shows a micrometer screwgauge.
Draw a diagram showing a micrometer screwgauge with a zero error of +0.03mm.
[1 ]
(c) You are given a small steel ball – bearing. The micrometer screwgauge above is [1 used to measure the diameter of the steel ball – bearing given. Write down the ] diameter of the steel ball – bearing. (d) State one other precaution you would take in using the micrometer to measure the [1 diameter of an object. ] 5
Two twin brothers, Eugene and Euclid are tasked to determine the volume of a cuboid of Blutak. Eugene asks for a 100 cm3 measuring cylinder and some strings. Euclid on the other hand, requests for a 100 cm3 beaker with some rubber bands. (a) Give an account on how Euclid could complete his task. Your account should include [3 diagram(s) wherever it makes your description clearer, be in present or present – ] perfect tense and finally, conclude with safety aspects that Euclid would undertake. Jasmine Goh
Page 2
6/25/2009
Page 3 of 5
(b) Eugene declares that his apparatus provide better results than that of Euclid’s. [3 Support or refute his claim ]
7
[2 ]
QuickTimeª and a decompressor are needed to see this picture.
Jasmine Goh
Page 3
6/25/2009
Page 4 of 5
QuickTimeª and a decompressor are needed to see this picture.
QuickTimeª and a decompressor are needed to see this picture.
8
The shutter speed of a camera depends on two variables: the size of the lens and the actual timing of the shutter, opening and closing. These two factors work together to control the amount of light that enters the camera. This is measured in fractions on a shutter speed dial which illustrate how long the shutter opens and closes in a set period of time. The term speed refers to how long the lens remains open. For example, a setting of 1/60 on a shutter speed dial means that the shutter opens and closes within one sixtieth of a second. Various shutter speeds can be used to manipulate the final result of the picture. Usually, a faster shutter speed is used to freeze the scene, for motion shots, while a slower speed is used to create more of an unfocused, abstract result. A photographer wishes to take a vehicle moving at 25 m/s. He has to first check for the time for which the shutter stays open when a photograph is taken for a particular shutter speed dial setting. To do so, a 2.0 kg metal ball is photographed as it falls from rest in a gravitational field. It is found that before the shutter opens, the ball falls 3.2 m from rest and during the time that the shutter remains open, the ball falls a further 3.8 m, as illustrated in Fig. 9 below. (Take air resistance as negligible.)
Jasmine Goh
Page 4
6/25/2009
Page 5 of 5
3.2 m
3.8 m
Fig. 9 Below shows the variation of distance ball travels with time: Time, t/s Distance ball travelled from initial rest position, d/m
0 0
x 3.2
y 7.0
(i)
Calculate time x.
(ii)
Calculate time y.
(iii)
Hence, state the camera shutter speed dial setting for this instance in terms of a fraction.
The End Maximum Mark: 30 Warning: This is a SAMPLE only. The scope, format and the level of difficulty in this test may differ from the actual test. Advice: Clarify with your teachers on the scope and format of the upcoming CT1.
Jasmine Goh
Page 5
6/25/2009
[3]
1 (a)
Start the test at 8am sharp. Write your answers on prescribed papers. Inform everyone in the household not to disturb you from 8am till 9am. Stop writing at 9am sharp.
Distinguish between mass and weight.
[3]
(a)
(b)
Write down the relationship between mass and weight.
(c)
Name a device each for measuring (i) mass and (ii) weight. Just as a car (C) starts to accelerate from rest with an acceleration of 2.0 m/s2, a [2] bus (B) moving with a constant speed of 10 m/s passes it in a parallel lane.
2 (a)
(a)
Sketch a velocity-time graph for these vehicles on the axes given here. Label the axes clearly and correctly.
(b)
[2] How far will the car have gone when it overtake the bus? [Solutions by equations of motion are not accepted.]
3
Marcus throws a pebble vertically upwards with a velocity of 10 m/s near the edge of a cliff of height 20 m. A B
C
Page 2 of 5
The velocity-time graph below shows the upward and subsequent downward motion [3 of the pebble until it hits the base of the cliff. ] Assuming that air resistance is negligible, take acceleration due to gravity to be 10 m/s2, complete the following statements:(a) At A, the velocity of the pebble is _____ m/s at time = ____ s (b) At B the velocity of the pebble is _____ m/s at time = ____ s
4 (a) Distinguish between a random error and a systematic error in the measurement of a [2 physical quantity. ]
(b) The figure below shows a micrometer screwgauge.
Draw a diagram showing a micrometer screwgauge with a zero error of +0.03mm.
[1 ]
(c) You are given a small steel ball – bearing. The micrometer screwgauge above is [1 used to measure the diameter of the steel ball – bearing given. Write down the ] diameter of the steel ball – bearing. (d) State one other precaution you would take in using the micrometer to measure the [1 diameter of an object. ] 5
Two twin brothers, Eugene and Euclid are tasked to determine the volume of a cuboid of Blutak. Eugene asks for a 100 cm3 measuring cylinder and some strings. Euclid on the other hand, requests for a 100 cm3 beaker with some rubber bands. (a) Give an account on how Euclid could complete his task. Your account should include [3 diagram(s) wherever it makes your description clearer, be in present or present – ] perfect tense and finally, conclude with safety aspects that Euclid would undertake. Jasmine Goh
Page 2
6/25/2009
Page 3 of 5
(b) Eugene declares that his apparatus provide better results than that of Euclid’s. [3 Support or refute his claim ]
7
[2 ]
QuickTimeª and a decompressor are needed to see this picture.
Jasmine Goh
Page 3
6/25/2009
Page 4 of 5
QuickTimeª and a decompressor are needed to see this picture.
QuickTimeª and a decompressor are needed to see this picture.
8
The shutter speed of a camera depends on two variables: the size of the lens and the actual timing of the shutter, opening and closing. These two factors work together to control the amount of light that enters the camera. This is measured in fractions on a shutter speed dial which illustrate how long the shutter opens and closes in a set period of time. The term speed refers to how long the lens remains open. For example, a setting of 1/60 on a shutter speed dial means that the shutter opens and closes within one sixtieth of a second. Various shutter speeds can be used to manipulate the final result of the picture. Usually, a faster shutter speed is used to freeze the scene, for motion shots, while a slower speed is used to create more of an unfocused, abstract result. A photographer wishes to take a vehicle moving at 25 m/s. He has to first check for the time for which the shutter stays open when a photograph is taken for a particular shutter speed dial setting. To do so, a 2.0 kg metal ball is photographed as it falls from rest in a gravitational field. It is found that before the shutter opens, the ball falls 3.2 m from rest and during the time that the shutter remains open, the ball falls a further 3.8 m, as illustrated in Fig. 9 below. (Take air resistance as negligible.)
Jasmine Goh
Page 4
6/25/2009
Page 5 of 5
3.2 m
3.8 m
Fig. 9 Below shows the variation of distance ball travels with time: Time, t/s Distance ball travelled from initial rest position, d/m
0 0
x 3.2
y 7.0
(i)
Calculate time x.
(ii)
Calculate time y.
(iii)
Hence, state the camera shutter speed dial setting for this instance in terms of a fraction.
The End Maximum Mark: 30 Warning: This is a SAMPLE only. The scope, format and the level of difficulty in this test may differ from the actual test. Advice: Clarify with your teachers on the scope and format of the upcoming CT1.
Jasmine Goh
Page 5
6/25/2009
[3]
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