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Data:
Speed of light c =3.00 × 108m/s
Gravitational constant G =6.67 × 10−11N · m2kg2
Acceleration due to gravity g =9.81m/s2
Normal atmospheric pressure P0 =1.01 × 105Pa
Density of fresh water ρ =1.00 × 103kg/m3
Specific heat of water Cw = 4186J/(kg · K)
Specific heat of ice Ci = 2050J/(kg · K)
Latent heat of water Lw = 2260kJ/kg
Latent heat of ice Li = 334kJ/kg
Density of ice ρi = 916kg/m3
Fundamental charge e =1.60 × 10−19C
Mass of electron me =9.11 × 10−31kg
Mass of proton mp =1.67 × 10−27kg
Planck’s constant h =6.63 × 10−34Js
Electrostatic constant k =8.99 × 109N · m2/C2
Boltzmann’s constant kB =1.38 × 10−23J/K
A.U. Astronomical Unit = 1.49598 ×1011m: The approximate distance from the Sun to the Earth.
Radius of the Earth RE =6.371 × 106m
Radius of the Sun RS =6.96 × 108m
Stefan’s constant σ =5.6704 × 10−8W/(m· K4)
H2 Molar mass 2.016g/mol
O2 Molar mass 31.998g/mol
N2 Molar mass 28.013g/mol
Mass of the Earth 5.97 × 1024kg
Mass of the Sun 1.99 × 1030kg
1) On a dry day you comb your hair. Afterwards you notice that bringing the comb close to small bits of paper attracts the paper, causing it to jump off the table towards the comb. The correct explanation for this phenomena involves:
2) It takes a ray of light roughly 2.5 million years to travel from our galaxy to the Andromeda galaxy. In a new science fiction film, travelers aboard a spaceship reach the Andromeda galaxy by traveling at high speed. The travelers get about 15 years older during the journey. Which of the following statements is true?
Figure 1
3) Electrophorus electricus, commonly known as the electric eel, is capable of producing an 860 volt difference between its head and tail. When using this ability to stun prey, the electric eel will sometimes form a U shape as shown in Fig. 1. This has the effect that the eel’s prey is more likely to be stunned. Why is this?
4) The creatures of flatland inhabit a 2-dimensional world. Square, a man of good standing in flatland, holds a hot candle which emits light of intensity 36 Watts. 3 metres away, a detector feels:
5) A tennis ball rolls along a rough surface. Initially the ball has a speed v. After a distance d the speed has been reduced to v=2. What total distance will the tennis ball travel? Assume that the rough surface applies a constant force to the tennis ball.
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