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Paymemoney
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Homework Statement
An astronaut on the surface of the Moon fires a cannon to launch an experiment package, which leaves the barrel moving horizontally. Assume that the free-fall acceleration on the Moon is one-sixth that on the Earth. Radius of moon = 1.74 * 10^6 m
a) What must be the muzzle speed of the probe so that it travels completely around the Moon and returns to its original location? Found out to be 1.68km/s
b) How long does this trip around the Moon take?
Homework Equations
[tex]a=\omega^2r[/tex]
[tex]v=\omega r[/tex]
The Attempt at a Solution
I tired to solve with constant acceleration formulas.
a=1.62m/s^2
vi=0
vf=1.68km/s => 1678.928m/s
vf=vi+at
16878.928=0+1.62t
t=10419.09136s
2)A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates an unbanked curve in the road. The curve may be regarded as an arc of a circle of radius 35.0m. If the coefficient of static friction between crate and truck is 0.600, how fast can the truck be moving without the crate sliding?
I have tried to do the following:
i know the static friction: 0.600
i need to know [tex]\omega[/tex]
which is [tex]\sqrt{9.8}{35}[/tex], [tex]\omega=0.529[/tex]
find velocity
[tex]v=r\omega[/tex]
v=0.529 * 35
v=18.52m/s
i know this is incorrect, someone tell me how i can approach this.
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