Answer to Question #222689 in Mechanics | Relativity for SAmanta Ariel

Question #222689

What force is necessary to keep a body of mass 0.8kg moving in a horizontal circle of radius 0.7m with period 0.5s.


1
Expert's answer
2021-08-06T15:26:12-0400

Given:

m=0.8kgm=0.8\:\rm kg

r=0.7mr=0.7\:\rm m

T=0.5sT=0.5\:\rm s

The Newton's second law says

F=ma=mv2r=4π2rmT2F=ma=\frac{mv^2}{r}=\frac{4\pi^2rm}{T^2}

F=4π20.70.80.52=88NF=\frac{4\pi^2*0.7*0.8}{0.5^2}=88\:\rm N


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