➤ Activity 22: How Well Do You Understand? Solve the following: 1. The current I varies directly as the electromotive force E and inversely as the resistance R. If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electro- motive force of 100 volts, find the current that 150 volts will send through the system. 2. The force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. When m = 8 kilograms and d = 5 meters, F = 100 Newtons, Find Fwhen m = 2 kilograms and d = 15 meters. 3. The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire 30 meters long and 0.75 mm in diameter has a resistance of 25 ohms, find the length of a wire of the same material whose resistance and diameter are 30 ohms and 1.25 mm, respectively. 4. The acceleration a of an object varies directly as the force fexerted and inversely as its mass m. If the constant of variation is 1, find the acceleration in meters/second of a 10 kg object exerting a force of 10 Newtons. 5. The maximum load m of a beam varies directly as the breadth b and the square of the depth d and inversely as the length 1. If a beam 3.6 m long, 1.2 m wide, and 2.4 m deep can safely bear a load up to 909 kg, find the maximum safe load for a beam of the same material which is 3 m long, 6 m wide, and 1.8 m deep.​