The formula F=mv^2/r gives the centripetal force F of an object of mass m moving along a circle of radius r, where v is the tangential velocity of the object. Solve the formula for v. Rationalize the denominator. Calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters.

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 sqrtNow find v if F=50, m=100 kg, and r=150/2=75 so plug inv=(pm) sqrt(75*50*100)/100v=(pm) sqrt(375000)/100  OR v=(pm) sqrt(100*25*3*25*2)/100v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100v=(pm) 250sqrt(6)/100v=(pm) 2.5sqrt(6)v=(pm) 5sqrt(6)/2Or if you want a decimal number rounded, it would be (pm) 6.12372