- A model train locomotive of mass 0.5 kg moves around a circular track of radiu

Question

- A model train locomotive of mass 0.5 kg moves around a circular track of radius 50 m with a time period of 31.4 s. The radial acceleration of the locomotive is

- A special kind of star called the white dwarf star which was once an average star like our sun, but is now at the end of its life having exhausted all its "fuel". Typical white dwarf stars give out very little light and are small in size. One such white dwarf in our universe has a mass equal to the mass of our sun (M = 2.0 x 1030 kg), and the radius that of the moon (r = 1.74x106 m). Find the acceleration due to gravity on the surface of this while dwarf.

- Sliders are attached to the bottom of a 50 kg crate so that the crate slides without friction. What is the horizontal force required to keep the crate moving at a constant velocity on the floor in the absence of friction?

Explanation / Answer

A) To find velocity of the train:

V=2r/T

V=2(50)/31.4

V= 10.01m/s

Next, find radial acceleration.

a=v2/r

a=(10.01)2/50

a= 2m/s

B)

g=G m/r2 where G is a constant with a value of 6.67 X 10-11

g= (6.67 X 10-11 )(2.0 X 1030) / (1.72 X 106)2

g= 4.4 X 107

C) Assuming the crate is already in motion, without friction (and I'm assuming, since it is not stated in the question, without air resistance) the force to keep the crate in motion is zero N.

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