1.A 0.25g flea sits on a disc at a distance of 4cm from the center of the disc.if the disc rotates at 67 rpm and the flea is just able to maintain its position without sliding,determine the coefficient of static friction between the flea and the disc that enables the flea to maintain its uniform circular motion.
A) calculate the force applied to the flea
F=ma=mω^2*r=m*r*(2π/T)^2,where T=1/n,n is the rpm (i.e.67)
B) then calculate the static coefficient of the flea.
The formula for the static coefficient is given by F(in Newtons) =mgx
where m=mass in kg,g = 9.81 & x is the static coefficient
2.樓上已經(jīng)解釋的很清楚了
3.As an indication of the size of the sun's gravitational pull on earth,carry out the rough calculations that follow.suppose that the sun's gravitational attraction could be replaced by a steel wire,running from the sun to the earth,with the wire's tension holding the earth in its orbit.good steel has a breaking stress of 5.0x10^8N/m^2 of cross section area.
a)calculate the cross-section area of wire that could just hold the earth in its orbit.
b)calculate the corresponding wire diameter.
A) Fg=Gm1m2/d^2
which is the force that the wire must hold.So G(of sun)*mass of sun*Mass of Earth* / the distance squared.
(this is the equation you gave).
That force divided by the breaking stress per area (5.0x10^8) is equal to the area of the wire.
B) Area = pi*r^2.& diameter = 2r.simple enough.
4.By looking at distance galaxies,astronomers have conclude that our solar system is circling the center of our galaxy.the hub of this galaxy is located about 2.7x10^20m from our sun,and our sun circles the center about every 200 million years.we assume that our sun is attracted by a large number of stars at the hub of the galaxy,and that the sun is kept in orbit by the gravitational attraction of these stars.
a)calculate the total mass of the star at the hub of our galaxy
Fg=Gm1m2/d^2
Assume that the sun follows a circular pathway,the distance the sun travels is calculated with the radius given (2.7x10^20m).And the speed can be calculated.Knowing that while in orbit,a satellite is always accelerating.F=ma=mω^2*r=m*r*(2π/T)^2,hence,you have the force and acceleration.
Next,you can calculate m1 by substituting in for all values.
b)based on an average size star of mass 2.0x10^30kg,determine the approximate number of such stars at the hub
m1/mass per star.
Message me if you don't understand the solution.How I miss high school physics.^__^