Determine the centripetal force

AI Thread Summary
To determine the centripetal force for a standard kilogram at the Earth's equator, the centripetal acceleration is calculated using the formula a = v^2/r, resulting in approximately 0.033785 m/s². The force can then be found using F = ma, but the mass (m) is required for this calculation. The standard kilogram weighs 9.8 N at sea level, which can be used to find the effective weight on a spring balance, factoring in the centripetal force. Clarification is needed on how to incorporate both gravitational and centripetal forces to determine the total force exerted by the kilogram.
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Homework Statement


Assume that the standard kilogram would weigh exactly 9.8 N at sea level on the Earth's equator if the Earth did not revolve about its axis. then take into account the fact that the Earth does rotate so that this mass moves in a circle of radius of 6.4 * 10^6 meters at a constant speed of 465 meters/sec. a) determine the centripetal force needed to keep the standard moving in its circular path. and b) determine the force exerted by the standard kilogram on a spring balance from which it is suspended at the equator. (e.g. its weight)

known: r=6.4 * 10^6 m, v=465 m/s

Homework Equations


a=v^2/r
F=ma
I don't know part b

The Attempt at a Solution


a) a=v^2/r=(465 m/s)^2/ (6.4 * 10^6 m)=0.033785 m/s^2
F=ma=(i don't know what m is?) (0.033785 m/s^2)
b) please help me i don't know where to start.
 
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You don't know what the mass of something that's being used as the standard for the kilogram is?
 
what would i use for my value of m?
 
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