This document contains a past exam from February 2023 and it has both the questions and answers, so you can try and solve the problems by yourself and then check the explanations.
Fill in your answer(s) to the multiple-choice questions as shown above (circles = one correct answer).
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Please read the following information carefully:
Date exam: February 3rd, 2023
Start time 09.00
End time: 12.00 (+30 minutes for time extension students)
Number of questions: 5
Maximum number of points/distribution of points over questions: Q1:28p, Q2: 8p, Q3: 6p, Q4: 8p, Q5: 6p;
tot 56p
Method of determining the final grade: 10*points/58
Permitted examination aids
• Scrap paper (fully blank)
• Non-graphical calculator
• Equation sheet (provided)
Important:
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• copying (in any form)
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First-year bachelor students: The final grade for this exam will be announced no later than fifteen
working days after the date of this exam, unless this exam takes place in Q4 or the interim period. For Q4
final exams, grades will be announced within five working days after the end of the Q4 final test period. For
interim period final exams, grades will be announced no later than five working days before September 1.
All other students: Generally, the final grade for this exam will be announced no later than fifteen working
days after the date of this examination. Specifically for bachelor exams administered in the interim period,
exam grades will be announced no later than five working days before September 1.
You can start the exam now, good luck!
, 0001.pdf 0196637003
Problem 1 - Multiple Choice questions
2p 1a According to Keppler’s third law, the period (time of one revolution) of a planet with mass Mp that
moves in a circle with radius r around the sun with mass Ms is given by
√
4π 2 3/2
T= r
G Ms
where G is a constant.
The unit of G is
a m3 /(kg ⋅ s2 )
b kg ⋅ s3 /m2/3
c kg ⋅ s2 /m3/2
d m3/2 /(kg ⋅ s3 )
e m2 /(kg ⋅ s3 )
f kg ⋅ s2 /m3
g kg ⋅ s3 /m2
h m3/2 /(kg ⋅ s2 )
2p 1b You’re standing on a frictionless , horizontal sheet of ice and you’re holding a relatively large rock.
You throw the rock with speed v0 under an angle α (with α > 0) above the horizontal.
Consider the system consisting of yourself and the rock. Which component of the total momentum
(of you and the rock together) is conserved?
a It’s impossible to tell because it depends on v0 and on α.
b It’s impossible to tell because it depends on v0 .
c Only the vertical component of the total momentum is conserved.
d No components of the total momentum are conserved.
e It’s impossible to tell because it depends on α.
f Only the horizontal component of the total momentum is conserved.
g All components of the total momentum are conserved.
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