Find v when t = 7.74 and r = 5.68 if v varies directly as t and inversely as r and v = 22.1 when t = 27.6 and r = 3.125. v = Number (Round to 3 significant digits) A net force f acting on a body gives it an acceleration. The acceleration a varies directly as the net force f and inversely as the mass m of the body. If a net force of 19.3 N gives a 18.0 kg body an acceleration of 1.07 m/s, determine the mass of a body that receives an acceleration of 78.1 m/s when a net force of 6,250 N acts on it. mass of the body = Number kg (Round to nearest tenth) The period of vibration P of a simple pendulum at a specific place varies directly as the square root of its length L. If the period is 11.1 seconds for a length of 36.3 cm, determine the length which has a period of 17.5 seconds. length Number cm (Round to nearest tenth) Find x when z = 281 if x varies inversely as the square root of z and x = 1.448 when z = 39.2. x = Number (Round to 3 significant digits) Find v when t = 4.68 if v varies directly as t and v = 16.5 when t = 1.71 v = Number (Round to 3 significant digits) Simplify each ratio into a rate. a) 168 m to 8 s = Number m/s b) 148.68 L to 14 min = Number L/min At constant temperature the volume of a gas varies inversely as the pressure to which it is subjected. If the volume is 433 cm when the pressure is 98,200 kPa, determine the volume when the pressure is 6760.032 kPa. Find the indicated ratios in simplified fractional form. If necessary, express ratio as an improper fraction in lowest term. a) 60 mm to 5 cm = GP b) 80 s to 6 min = BBB If y varies directly as x2 and if y = 873.788 when x = 59.6, find y when x = 18.0. y= Number (Round to 3 significant digits) A certain alloy is 4 parts tin and 3 parts lead. How many kilograms of each are there in 35 kg of the alloy? Find x when z = 94.8 if x varies inversely as z and x = 40.1 when z = =56.8. x= Number (Round to 3 significant digits)