Answer: (It didn't say what to have the units in so I assumed as is)
(pm) 5sqrt(6)/2
(pm) 6.12372 (rounded version)
Step-by-step explanation:
F=mv^2/r (Given)
rF=mv^2 (Multiply both sides by r)
rF/m=v^2 (Divide both sides by m)
v=(pm) sqrt(rF/m) (Square root both sides)-(pm means plus or minus)
v=(pm) sqrt(rF)/sqrt(m)
v=(pm) sqrt(rF)sqrt(m)/m (I had multiply top and bottom by sqrt(m))
v=(pm) sqrt(rFm)/m
*sqrt( ) means square root of whatever is in the ( ) that follows the sqrt
Now find v if F=50, m=100 kg, and r=150/2=75 so plug in
v=(pm) sqrt(75*50*100)/100
v=(pm) sqrt(375000)/100 OR
v=(pm) sqrt(100*25*3*25*2)/100
v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100
v=(pm) 250sqrt(6)/100
v=(pm) 2.5sqrt(6)
v=(pm) 5sqrt(6)/2
Or if you want a decimal number rounded, it would be (pm) 6.12372
