Winter Break Hw

WINTER BREAK HW:

Chapter 1:

31. A vertical container with base area measuring 14.0 cm by 17.0 cm is being filled with identical pieces of candy, each with a volume of 50.0 mm3 and a mass of 0.0200 g. Assume that the volume of the empty spaces between the candies is negligible. If the height of the candies in the container increases at the rate of 0.250 cm/s, at what rate (kilograms per minute) does the mass of the candies in the container increase? (answer: 1.43 kg/min)

47. A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss. (answer: 3.8 mg/s)

Chapter 2:

70 .Two particles move along an x-axis. The position of particle 1 is given by (in meters and seconds); the acceleration of particle 2 is given by (in meters per seconds squared and seconds) and, at t = 0 s, its velocity is 20 m/s. When the velocities of the particles match, what is their velocity?

(answer: 15.6 m/s)

71. At the instant the traffic light turns green, an car starts with a constant acceleration of 2.2 m/s2. At the same instant a truck, traveling with a constant speed of 9.5 m/s, overtakes and passes the automobile. (a) How far beyond the traffic signal will the automobile overtake the truck? (b) How fast will the automobile be traveling at that instant?

(answer: a) 82 m b)19 m/s)

Chapter 3:

(answer: a) 9i + 6j – 7k b) 123° c) –3.2 m d) 8.2 m)

(answer: 32.5°)

Chapter 4:

(answer: a)4.0 m b)center (4.0 m, 6.0 m))

67. A boy whirls a stone in a horizontal circle of radius 1.5 m and at height 2.0 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone?

(answer: 160 m/s2)

Chapter 5:

(answers: 59 a)0.735 m/s2 c)20.8 N; 66a)3.1 N b)14.7 N )

Chapter 6:

58. A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 200 m. Traffic is moving along the highway at 40 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road?

Chapter 7: