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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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