Multiple Choice: 10 questions

1.

Which of the following measured values has three significant figures? O m = 0.04 kilograms O m = 0.2 kilograms O m = 0.82 kilograms O m = 8.2 kilograms O m = 0.0253 kilogramsThe mass is measured to be m = 0.0809 kilograms. How many significant figures does this measurement have? 0 5 0 3 O 1 O 2 0 4The magnitude of a force is measured to be F = 5972.5 newtons. How many significant figures does this measurement have? O 2 0 3 0 5 O O 1The length is measured to be L = 61.88 meters. How many significant figures does this measurement have? 0 4 0 3 O 1 O 2 0 5Which of the following measured values has four significant figures? OF = 21.53 newtons O F = 7.18 newtons O F = 0.048 newtons O F = 0.871 newtons O F = 0.26421 newtonsA golfer takes three putts to get the ball into the hole. The first putt displaces the ball 3.21 m north, the second 1.82 m southeast, and the third 0.967 m southwest. What are (a) the magnitude and (b) the angle between the direction of the displacement needed to get the ball into the hole in just one putt and the direction due east? (a) Number i Units (b) Number i Units vThree vectors are given by a = -3.007 + (-1.00) j + (-3.00) k, b = 1.007 + (1.00) j + (0) k, and " = 0i + (-3.00) j + (2.00) k. Find (a) a . (b x c ), (b) a . (b + c), (c) x-component, (d) y-component, and (e) z-component of a x (b + c) respectively. (a) Number Units (b) Number i Units (c) Number ii Units (d) Number Units (e) Number UnitsYou are to make four straight-line moves over a at desert oor, starting at the origin of an xv coordinate system and ending at the xy coordinates (-109 m. 52 m). The x component and y component of your moves are the fol lowing, respectively. in meters: (20 and 60), then (bx and -70), then (-20 and Cy}, then (-60 and -70). What are (a) component bx and (bi component CY? What are (c) the magnitude and {d} the angle (relative to the positive direction of the x axis} ofthe overall displacement? {a} Number n Units v {b} Number n Units v {c} Number n Units v {d} Number n Units v A ship sets out to sail to a point 105 km due north. An unexpected storm biows the ship to a point 115 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination? (a) Number n Units v (b) Number n Units v A car is driven east for a distance of43 km, then north for 25 km, and then in a direction 31 east of north for 26 km. Determine {a} the magnitude of the car's total displacement from its starting point and {b} the angle (from east) of the car's total displacement measured from its starting direction. (a) Number n Units v (bl Number n Units v