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The mean free path of CO2 molecules in a vessel is 790 Å, density is 1.7 kg/m3.Calculate the diameter of CO2 molecule


Starting from the center of town, a car travels WEST for 70.0 m, then turns due NORTH for 30.5 m,
and lastly turns EAST for 15.0 m at which point it runs out of gas. Determine the displacement of
the stopped car from the center of the town.

A ball of mass 1kg is thrown at 8m/s and kicked a building. If it turns back at 6m/s, calculate the magnitude of change in momentum.


a horse in a race accelerates at the constant rate of 61 m/s2, from rest to a speed of 19.1 m/s. It then maintain that speed and covers another 8.7 m. What is the total time of the race in seconds?


determine the horizontal and vertical components of a bus if it's moving at 80 km/h going 22° south of west


Interstellar space, far from any stars, is filled with a very low density of hydrogen atoms (H, not H2). The number density is about 1atom / cm3 and the temperature is about 3K.

In certain region of space, the density of hydrogen atoms is 2 atoms / cm3 . Estimate the number of collisions experienced by the spherical interstellar ship of diameter of 260m moving at the 50% of the speed of light in the interstellar space in 1second of its motion.

Give your result in millions of collisions (106) to the nearest tenth. (e.g. For a result of 12 345 678.90 collisions, input 12.3)

Take the speed of light to be 300000km/s.


A 1.5L bottle of generic soft-drink contains 14g of carbon dioxide dissolved in its volume. After opening of the bottle, the evaporating carbon dioxide is trapped in a cylinder at 1.1atm and 17°C, what volume does the gas occupy?

Give your answer in litres to the nearest tenth of a litre.

1atm=101300Pa

Take the universal gas constant to be R=8.31J/(mole kg), the molar mass of COto be 44g/mol, and absolute zero to be at -273°C.



A 4kg block of ice at -6°C is put in the water (initial temperature 20°C) in an insulated container.

How much water was there initially, if the final temperature of this system after all of the ice melted is 14°C?

Answer in kilograms to the nearest 0.1kg.

following specific heats and latent heats might be useful:

Cwater = 4186J/kgC

Cice = 2090J/kgC

Csteam =1996J/kgC

Lfusion  = 333000J/kg

Lvaporization=2.25x106J/kg


You found a treasure map, and it's said: staring at well walk 30 m north, 20 m 30° N of East, 15 m 18° south of west, and finally 10 m north. How far is the treasure map from the well?


The surface of certain star has a surface temperature of about 5,050 K. The radius of the star is 7.2*108 m.

Firstly, calculate the total energy radiated by this star in each second expressed in watts. Note that the Stefan-Boltzmann constant is σ = 5.670*10-8 W/m2.

Secondly, take the log10 of the total calculated energy radiated in each second and input your answer into the answer box to one decimal.


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