(a)(i) State Hooke's law. (ii) A spring has a length of 0.20 m when a mass of 0.30 kg hangs on it, and a length of 0.75 nm when a mass of 1.95 kg hangs on it. Calculate the: (i) force constant of the spring; (ii) length of the spring when it is unloaded. [g = 10m/s\(^2\)]
(b)(i) What is diffusion? (ii) State two factors that affect the rate of diffusion of a substance. (iii) State the exact relationship between the rate of diffusion of a gas and its density.
(c) A satellite of mass, m orbits the earth of mass. M with a velocity, v at a distance R from the centre of the earth. Derive the relationship between the period T, of orbit and R.
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1) l1=0.2m
m1=0.3
l2=0.75
m2=1.95
f=ke
k=f/e
k=f2-f1/e2-e1
k=m2g-m1g/l2-l1
k=(1.95*10)-(0.3*10)/(0.75)-(0.2)
k=19.5-3/0.55
k=30n/m
e=f/k
you can choose any of the masses to solve
using mass 2 we have
e=1.95*10/30
e=0.65
e=l2-lo
lo=l2-e
lo=0.75-0.65=0.1
or
using mass 1, we have
e=0.3*10/30
e=0.1
lo=0.2-0.1=0.1
The remaining questions after this are not showing. I've been trying since last week
Nice work. But the last part requires you to just take the square root of both sides.
T = 2π √(R³/GM )
