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1
PC1201 Fundamentals of Physics

Semester-1, AY2022/2023

Test-1 (Bonus Question)
(100% individual and compulsory)
r>Total Score: Up to 30 marks will be added to Test-1 (Actual Test)

Your upload of solution file will due on 7 October 2022, Friday 10am at
“Repository for Test-1 (Bonus)” at Canvas’s Assignment
_______________________________________________________________________________ 

This bonus question is 100% individual. You are reminded of the NUS Code of Student Conduct
at all times.

The values given in all questions are infinitely accurate. E.g., 21.24 is regarded as 21.240000….
The final answer needs to have only 2 decimal places if necessary.

We do not answer any individual emails and any individual consultations about this
question.

If you are using a tablet, you can use a digital pen to write on the soft copy and save the contents
as a pdf file.

Or,

If desired, you can solve the questions on papers, and take photo for each solution. If you
do it this way, you will have to cut and paste the images of the solutions into a docx (or
pdf) file, and upload only one docx (or pdf) file.

The filename of your submission should have the assigned serial number, followed by your
name. Please refer to the last 6 pages for your serial number.
E.g., 204-Tay-Seng-Chuan.docx
204-Tay-Seng-Chuan.pdf

You cannot insert the links of the objects to the document as the images must be pasted to
the self-contained document.

The details in your calculations must be clearly written. You do not have to copy the
questions to the submission file.

We do not accept any zip file (containing many files). You can only upload one docx file
or one pdf file.


The first 3 lines of your first page must be as follows:

Serial Number (refer to the last 2 pages):
NUS Student Number:
Name:


2
Question

The following drawing shows two frictionless inclines that begin at ground level
(h = 0 m) and slope upward at the same angle θ. One track is longer than the other,
however. Identical blocks are projected up each track with the same initial
speed v0.

On the longer track the block slides upward until it reaches a maximum height H
above the ground.

On the shorter track the block slides upward, flies off the end of the track at a
height H1 above the ground, and then follows the parabolic trajectory of projectile
motion. At the highest point of this trajectory, the block is a height H2 above the
end of the track. The initial total mechanical energy of each block is the same and
is all kinetic energy.

Assume that the air resistance is negligible, and model each block as a point mass.



(i) When the block on the longer track reaches its maximum height, is its final
total mechanical energy all kinetic energy, all potential energy, or some of
each? Justify your answer. (5 marks)

(ii) When the block on the shorter track reaches the top of its trajectory after
leaving the track, is its final total mechanical energy all kinetic energy, all
potential energy or some of each? Justify your answer. (5 marks)

(iii) Which is the greater height above the ground: H or H1 + H2? Why? (You have
to provide the qualitative explanation.) (6 marks)

(iv) If the initial speed of each block is v0 = 7.00 m/s, and each incline slopes
upward at an angle of θ = 50.0°, and the block on the shorter track leaves
the track at a height of H1 = 1.25 m above the ground, find

(a) the height H for the block on the longer track (2 decimal places needed)
(6 marks)

(b) the total height H1 + H2 for the block on the shorter track (2 decimal
places needed) (8 marks)

Examples of file description (Serial Number-Name.docx, or Serial Number-Name.pdf) to be
uploaded to Canvas Assignment, “Repository for Test-1 (Bonus)”:
 
1- Adam-Ho-Keng-Yuen.docx
7- Ang-Shi-Ya.pdf 
3
107-Marciano-Renzo-William.docx
141-Qiu-Qianhui.docx 
200-Yuen-Hoe-Mun.docx
203-Zhang-Qien.pdf 
 
The submission folder will be closed at 10am, 7 October 2022, Friday. Only the last copy will
be marked. The solution will be discussed at 5pm by Zoom session.
 
Serial
Number Name
1 Adam Ho Keng Yuen
2 Ahmad Farhan Bin Saifulddin
3 Aishah Munirah Binte Abbas
4 Alexis Ee Yuxuan
5 Andre Ng Ming Yi
6 Ang Andrea
7 Ang Shi Ya
8 Anushka Sen
9 Atira Sarat
10 Ayagari Mukund
11 Azfarul Matin Bin Mohamad Afandi
12 Bec Jiyoon
13 Benjamin Justin Kau
14 Bryan Ha Wai Kit
15 Carmen Ang
16 Chai Ming Hui Justin
17 Chan Chung Loong
18 Chan Jun Yong
19 Chen Chwen Huey
20 Chen Jiaqi
21 Chen Jing Yi, Vanessa
22 Cheong Jun Wei
23 Cheryl Lim
24 Chia Rui Han
25 Chinmay Nair
26 Chng Cheng Yi
27 Chng Hwee Hwee, Renae
28 Chua Hwee Hong Jacqueline
29 Chua Ying Phoebe
30 Chua Zhong Heng
31 Claire Neo Yu Qing
32 Clarice Oh
33 Cristina Rojo
34 Daniel Chin Yong Jie
35 Delvyn Quek
36 Donna Wijaya Ng An Ni
37 Fan Qi
38 Gagan Bajaj
4
39 Gan Hao Cheng, Keith
40 Gan Wan Ying
41 Gerald Oon Zhi Jian
42 Goh Ee Liang
43 Goh Jun Feng Leon
44 Gu Yiming
45 Gwyneth Guo Bai Ling
46 Hamzah Mujahid B Arman
47 He Ruoqing,Vivien
48 Heather Ye Tint
49 Ho Yu Qi, Rachel
50 Ho Yuheng Tristan
51 Hong Seokjoon
52 Hu Jiajun
53 Huang Jiachang Brian
54 Isaac Yong Zhe
55 Isaiah Kwah Tze Hern
56 Jacob Hong Qi En
57 Jareth Lee Kae Xun
58 Jashant Surendran
59 Jaspal Singh S/O Narvail Singh
60 Jeremy Loh Ming
61 Jolene Kee Yin Siew
62 Joshua Ng
63 Jovita Anderson
64 June Ng Shiru
65 Justin Koh Yi Rong
66 Justin Tang Jit Hin
67 Kenneth Goh Jun Lim
68 Kenz Antonius
69 Khenvy Tan Jia Ching
70 Khong Chun Kit
71 Kim Jungbae
72 Koh Jing Xuan
73 Koh Yan Yan Vanessa
74 Koh Zhe Hao
75 Kontham Dedeepya
76 Lau Zhe Ming
77 Lee Dasol
78 Lee En Hao
79 Lee Hong Yi Gregory
80 Lee Jia Xin Stephanie
81 Lee Jiaqi
82 Lee Jie Ying Beatrice
83 Lee Ming Ren
84 Lee Yan Cheng
85 Lee Zhi Yong
5
86 Lee Zi Yang
87 Lee Zi Yang, Darren
88 Leong Hoi Ming, Joshua
89 Leong Jia Hao, Timothy
90 Li Jianhan
91 Li Zhen
92 Lian Jiade
93 Liang Zhenghong
94 Lim Jia Xuan
95 Lim Wei Chen Darel
96 Lim Wei Zhi
97 Lim Yew Kiat, Marcus
98 Lim Yoke Tiong
99 Lin Qian Yi Jeamne
100 Liu Zehui
101 Liyana Afrina Binte Mohammed Shahrin
102 Loke Kwong Liang Joel
103 Lou Yuhang
104 Lum Wee Kiat
105 Lum Yan Zhen Clement
106 Magendran Asogan
107 Marciano Renzo William
108 Maria Erika Glen Goh Gek Leng
109 Max Pang Ek Wee
110 Michael Dahlan
111 Min Hein Aung
112 Mo Jinzeng
113 Mohamed Ashraf S/O Habibullah
114 Mohamed Asri
115 Mohamed Haris Bin Mohamed Yusri
116 Mohammad Umar Bin Rosman'id
117 Moshnin Artem
118 Muhamad Nasrullah B Jamaluddin
119 Muhammad Azrin Bin Sukaimi
120 Muhammad Shalihin Bin Faizal
121 Muhammad Zaid Bin Zaelani
122 Muhammad Zakir Haziq Bin Mohd Padzal
123 Ng Boon How, Jacob
124 Ng Ding Ze
125 Ng Jieyi, Nicole
126 Ng Jin Yuan
127 Ng Jun Hao Elgin
128 Ng Kai Li
129 Ng Yu Fei
130 Nigel Foo Hon Wei
6
131 Nur Sarah Binte Asmadi
132 Nur Sarah Bte Roslan
133 Olivia Juliani Johansen
134 Ong See Ying Isabel
135 Ong Yu Da Keagan
136 Owen Yap Yuhan
137 Pang Wai Kye
138 Paul Khoo Bob June
139 Poh Jun Jie, Ryan
140 Priscilla Sng Ya Shi
141 Qiu Qianhui
142 Quek Jing Ling, Brian
143 Reayun Tan
144 Reuben Chay Ser Zhe
145 Reuben Lim Tao-Han
146 Richard Dominick
147 Ritika Manish Joshi
148 Rizaldi Bin Osaini
149 S Janani
150 Sara Lim
151 Saung Naychi Min
152 Sean Ang Chuan Eng
153 Seethoo Zhao Jie
154 Seow Xiu Wen
155 Shanice Ng Wen Yi
156 Shanmugam Giridharan
157 Shaun Loh
158 Siew Soon Ming, Sebastian
159 Sim Yu, Jeanette
160 Sim Zi Yao Lucas
161 Siriwardana Kathri A D D K
162 Soo Qi Xuan Ian
163 Srinivasan Udhaya
164 Stanley Ong Jing Jie
165 Sun Xiaoqing
166 Tan De Xuan Ron
167 Tan Dexter
168 Tan Lucas
169 Tan Ming Wei
170 Tan Sher Yew
171 Tan Xuan Yun
172 Tan Ye Kai
173 Tan Yu Kai
174 Tan Yu Tao
175 Tang Jun Mei, Shanice
176 Tee Chun Hwa
177 Tey Fang Peng
7
178 Thattaruparambil Manoj Gayathri
179 Toh Sihui
180 Truong Minh Duong
181 Van Der Horst Nigel Sebestiaan
182 Wang Hua Chen
183 Wang Yuanmeng
184 Winnie Ho Yi Xuan
185 Wong Guo Wen
186 Wong Kai Xiong
187 Wong Qin Yao
188 Wu Yixuan
189 Xavin Yeo
190 Xiao Junyang
191 Yang Jundong Warren
192 Yap Jie Xiang
193 Yar Xin Ning
194 Ye Chunhao
195 Ye Jiadong
196 Yeriel Nah Yu Keat
197 Yew Wei Quan
198 Yip-Au Hew Kit, Shawn
199 Yong Ya Wen
200 Yuen Hoe Mun
201 Zhang Huiyan
202 Zhang Kexuan
203 Zhang Qien
 

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