You use a 0.450-kg hammer to strike a 0.79-g nail. The nail and hammer come to rest after driving the nail 1.00 cm into a vertical board. Assume that the initial velocity of the hammer was 7.00 m/s before striking the nail head-on. Also assume constant acceleration of the hammer-nail pair. (a) Calculate the duration of the impact in milliseconds (lms = 1035). Give you answer in ms to three significant figures. (b) What was the average force exerted on the nail? Give you answer in newtons to two significant figures. - Grains from a hopper falls at a rate of 12 kg/s vertically onto a conveyor belt that is moving horizontally at a constant speed of 5 m/s. (A hopper is a container for a bulk material such as grain, rock, or trash, typically one that tapers downward and is able to discharge its contents at the bottom.) a. What force (in N) is needed to keep the conveyor belt moving at the constant velocity? Give your answer to two significant figures without units. b. What is the minimum power (in Watt) of the motor driving the conveyor belt? Give your answer to two significant figures without units