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MCD4160 Physics for Engineering
创建日期：2024-03-27 15:27:31
所属分类：物理Physical
标签： MCD4160
Physics for Engineering
MCD4160 Physics for Engineering
PRACTICE TEST Duration: 50
minutes. Closed Book.
FORMULAE AND DATA
ΣF = ma a = v2/R (uniform circular motion) g = 9.8 N/kg
F(x) = − dU
dx
W = F.d = F d cosθ K = ½ m v2 ∆K = W
x cm
∑mi x i
= i
∑mi

vcm
∑mi vi
= i
∑mi
ΣF = dp
dt
p = mv

Στ = dL L = Iω L = r x p I = ∑m r 2
dt
x = X cos ωt ω = (k / m) 1/2 SHM.

F = GMm
r 2
i

T2 ∝ r3
REarth =6.38 × 106 m MEarth = 5.98 × 1024 kg G = 6.67 × 10-11 Nm2kg-2
QUESTION 1 (2 + 2 = 4 marks)
A small car has a dead battery and a large truck is pushing the car. The mass of the truck is
larger than the mass of the car.
(a) Draw the body force digram for the all forces acting on the car while being pushed by
the truck, you may ignore the air resistance. Use FAB to indicate the force ac\tining by object A
on object B.
(b) Which of the following statements is true?

A. The truck exerts a force on the car, but the car doesn’t exert a force on the truck.
B. The truck exerts a larger force on the car than the car exerts on the truck.
C. The truck exerts the same amount of force on the car as the car exerts on the truck.
D. The car exerts a larger force on the truck than the truck exerts on the car
QUESTION 2 (3 + 2 = 5 marks)
Simone (mass = 65 kg) and Justine (mass = 80 kg) are ice-skating. Justine is skating at 5 m s-1, and
Simone is stationary, as shown in the figure below. Justine collides with Simone, they push off each
other, and Simone moves off with a speed of 8 m s-1.
(a) Determine the Speed and direction of Justine after the collision? Show your working.
(b) Determine the change in kinetic energy of the system.
V= 5 m s-1
Simone Justine
2

0
0 2 4 6
x (cm)
QUESTION 3 (3 + 2= 5 marks)

A person of mass 75 kg stands at the centre of a rotating merry-go-round platform of radius 3.0 m and
moment of inertia 920 kg m2. The platform rotates without friction with angular velocity 2.0 rad s-1. The
person walks radially to the edge of the platform.
(a) Calculate the angular velocity when the person reaches the edge.

(b) Calculate the rotational kinetic energy of the system of the platform plus person before
and after the person’s walk.
QUESTION 4 (4 + 2 = 6 marks)

The figure below shows the potential energy of a 10 g particle with respect to its position.
(a) In the axes provided below draw a force versus position graph from x = 0 to x = 8 cm.
Indicate the appropriate numbers on the force axis in your graph.
(b) How much work does the force do as the particle moves from x = 2 cm to x = 6 cm? Show
your working.
x (cm)
F (N)
2 4 6 8
8
U (J)
8
6

4
10
QUESTION 5 (3 + 2 = 5 marks)

A uniform rod of mass M and length L can pivot freely (with negligible friction) about a hinge attached to
a wall as shown below. The rod is held horizontally and then released. The moment of inertia of a long
uniform rod of mass M and length L with respect to the axis passing through the end is (1/3) ML2.
(a) At the moment of release, determine the angular acceleration of the rod. Show your
working.
(b) At the moment of release, what is the linear acceleration of the tip of the rod?
QUESTION 6 (4 marks)

Determine the time it takes for a satellite to orbit the earth in a circular “near-Earth” orbit A “near-Earth”
orbit is one at a height above the surface of the Earth which is very small compared to the radius of the
Earth.
END OF TEST
L
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MOEC0021 STA 106 ENGG 1300A ENGG 1300 OLET1139 STAT 3503 STAT 206 FEM11149 ELEN 4720 COMP20003 SOLA1070 CS574 C11CS LINB29H3 MAST90083 ECON7200 STAT 610 LINB29 DSM-5 COMP3161 EEEN40010 MATH 4431 K353 STA 3386 IERG4300 COMS W4167 ENG5298 AMME 2302 CS3910 COMPSCI 320 STATS 369 GR5242 COSC 328 CSCI435 MGTS1301 INFS2200 COMP3900 CIS 375 Module AE03 COMP3121 CS260 HAM503 MGMT5050 INT3075 COSC 285 GEOL0029 GEGE2X01 STAT1201 MATH1061 MMF1941H STAT 5060 CS 520 COMP 4320 MSIN0104 000T FINS3648 ECMT2160 ECON4003 Phys 129L CSE 142 CS 3130 MGEB01 EECS 340 Finance (20443/20444) ECMM149 COMP5310 EEEN60180 CSC 111 AT2 CSCI 4430 STAB57 MA/CSC 427 MATH322 D100 CSCI544 CITS3004 CI6227 CSE 565 APCO 1P01 852L1 ELEC S411F COMP3207 STATS330 ECON7530 FIT5149 CSI4104 CMPT 371 COMP201 SEHS4696 FI4003 MATH6182 CG1 WS MATH401 MGT 205 QTM 110 COMP 0137 MACE12201 FIT5210 ECE 544 BISM7206 HUDM 6055 ECON3203 STATS 210 MSCI 570 MATH6173 COMPSCI4039 Accounting COM3503 AOE2024 ECON213 PSYC10004 Control Data 100/200A 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MAS316/414 ACCT2522 MSIN0181 ATMS 201 COMP3425 MATH7861 SOLA2060 MA 325 7CCEMCTH ECON 432 INFT2051 SOLA 2060 ECOS2002 Stats141XP BIOA02H3 S2022 MA4601 K5 COMP5329 EG 284 IB3A70 WECO1020 COMP3027 Energy ACS61011 MAST20026 STAT 533 MATA31 ENVS257 BEM2031 EC 486 COMP0172 CS3214 EECE5644 IB2B20 COSC2536 COSC1147 COMP6214 5CCM242A COMP0130 AMME2000 MTMG50: EG238 ACF6006 QBUS2810 COSC2391 ECON7560 MATH377 STA305 CS 486 COMP1117B EL648 ELEC3909 ECON 241 COMP 4901W BUSI4428 ENEN20002 ENGN4524 ELEC3115 CSC 413 PSYC 100B ECON1002 MATH256 ANSC20005 MTHS2008 MATH40082 COSC 2406 FIT3174 STA 238 CMT202 Differential Equations MTHM017 GARCH 101 MATH2069 CSC336S ACSC12 ETF2121 CEME 2001 DB B474F ARHT1001 EECS 3311 3220 STATS 786 CS 484 COMP20008 MATH4091 ECE 455 CSCI 204 BUS B200F BA 875 BU5562 COSC 1147 X11 GEOG 101 IMM250F CSE 584A MATH38172 LAB 4 ELEC5882M FINS5523 EE 430 COMP 465 6CCS3PRE 7CCSMNSE FINANCE ACMB02H3 ENGG2112 ELEC5616 SCM B371 CHEM3120 CS22 ECMT2130 MAST30011 ADSPBF706 CENG0013 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FN1024 MATH0094 MANG 6554 ECOS3003 ELEC6252 C2511C PHY328 EC1060 ECON32202 COMP4002-E1 MATH3063 EFIMM0124 QBUS2310 ECON4411 FUNDAMENTALS ACCT20001 18YX RPM COMP 2711 QBUS6600 BUSS5221 ST3189 FIT1047 MAT344 EGB375 MATH60013 MATH96011 COMP3557 MAST20029 ECM159 EAE1011 ENSCEN 105 SECTION A STA 141C SOSE 2022 PAM006 COMP0048 M40007 ISOM2500 CMPE 142 A06472 MCC150 ACST 8083 GEOG6087 ECON920 FINM7008 ENVENG 4110 COMPSCI 361 ENGRCEE 21 PHYS 1112 ACF2100 ECMM108 COMPS267F MAT00050M MAST30025 CSIT970 MSCI 224 INT202 PUBL0054 MSDM5004 BMAN 21020 BMAN21020 MGMT1002 MATH11150 LAWS7023 ACTL30002 CIVL3340 MATH1002 ECON 8069 COMPSCI 351 IBUS7302 STAT4528 CHEM1101 STAT3925 BUSN 7008 Comp 3120 ECOS2040 SWEN90010 ENGN6528 ECM158 ECON20022 COMP6452 Calculation CITS1401 S1889112 BUS 351 ACTL30008 FIT2091 ECON6002 IBUS6020 PHI 001 ECON30290 MATH7501 ECON10004 MFIN7017 ISYS90043 LAWS7012 ECON30025 COMP30023 COMM1190 ECOM20001 GSBS6009 STAT 337 EMET8002 ECOM90001 ECOM30001 FINC 2012 BUSINESS ENGCV512 ECO 101H1 IB9520 FINM 3008 ECON7310 FIT 1006 MANAGEMENT MATH3821 MTHM504 CS975 COMM1100 ELEC2133 MMAI 5500 MIS611 ELEC3114 CS 173 ELEC 3105 ISO 9001 IDSC10 Rural livelihoods and globalisati IDSC10 K17 202 CS823 MAST90007 SPG8024 MAT246 EG-264 CVEN2303 INFS1603 3PR3 MN-2508 4CCE1MCP SPG8030 CMT224 Inflation consumption Applying MAT137 CSE 111 DPBS1110 FINS5530 ELEC4613 GSBS6200 COMP4336 Math W54 DIFFERENTIAL 7PAVMALM ACC 1110 ME 3210 MATH2801 MGMT20001 ECON 6202 PSTAT 120B COMP9024 ENG5027 comp3219 ELE00107M ECON20003 ECON2103 FINA2209 MAST20018 LUBS5308M01 MATH2023 Computation COMP1600 CHEM 3X23 BBMM506 FNCE20003 BMET2922 BISM7216 financial ECMT5001 ACST3059 MAST30012 COMP3511 ECOS 2201 MKTG7512 ECON2540 MTH1010 MAT1841 COMP4600 ECON7740 PAPER C331 CAP 6617 ECON2420 ACCT7107 HLTH 7001 ECOS3002 CVEN30010 MAST30021 MATH1014 BIOL1007 ECOS 3010 SWEN90016 BISM7202 ACCT90012 INFO3315 DSCI 553 INFO90002 COMP3419 CITS 3001 EE5731 FINA3326 NFS 284 COMM2501 FIT2104 PHYS3035 RSM260 MAN3080 CHEM30028 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