Find the value of the magnitude of the marble's velocity U=1/ f and its uncertainty. O (1.02 E0.02) m/s O (4.02 0.04) m/s (1.040.1m/a (1.2402) m/a
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- Explain why, when defining the length of a rod, it is necessary to specify that the positions of the ends of the rod are to be measured simultaneously.The truck in Figure P39.1 is moving at a speed of 10.0 m/s relative to the ground. The person on the truck throws a baseball in the backward direction at a speed of 20.0 m/s relative to the truck. What is the velocity of the baseball as measured by the observer on the ground? Figure P39.1A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
- Suppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?Your video analysis of the motion of a marble gives it position in frame 23 as (x23, 923) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, Y24) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use (At) = 1 x 10-6 s. The mass of the marble is (2.031 +0.001) x 10-2 kg. Calculate the following quantities: 1. The value of the velocity component U = Xi+1Xi At and its uncertainty, Yi+1 Yi = and its uncertainty, At 2. The value of the velocity component vy 3. The value of the velocity magnitude v = 4. The value of the momentum component p 5. The value of the momentum component Py = muy and its uncertainty, and 6. The value of the kinetic energy K = =mv² = m(v²+v²) and its uncertainty. v2+2 and its uncertainty, = mv, and…A student wakes up late and runs to school, covering a distance of 2.55 km in the direction of [N20degrees E] as measured from her home. She then realizes that her friend Lydia has her homework and races over to his house 0.5 km away [W] from the school. The two friends then decide it’s not worth going to class late so they go off to the mall that is 2.8 km [W50degreesS]. a) What is the students total displacement? b) If the total time taken by the student to run to school then over to the friend’s house was 25 minutes, what was her average velocity?
- TRUE OR FALSE. An object seen by the human eye remains chemically mapped on the eye's retina for a brief time after viewing. This phenomenon is called phi. TRUE OR FALSE. The human mind needs to conceptually complete a perceived action. This phenomenon is called phi. TRUE OR FALSE. Anything less than 12fps will be smooth motion as the eye is able to detect the changes from one frame to the next.Your video analysis of the motion of a marble gives it position in frame 23 as (x23 , Y23) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, Y24) = (0.102 m, 0.112 m). You estimate that you can measure the x and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this problem, use 8(At) = 1 x 10- s. The mass of the marble is (2.031 +0.001) × 10 kg.The speed of light is now defined to be c = 2.99792458 × 108 m/s. (a) Express the speed of light to three significant figures. 4.03.00*10e8 X Your response is off by a multiple of ten. m/s (b) Express the speed of light to five significant figures. 4.02.9979*10e8 X Your response is off by a multiple of ten. m/s (c) Express the speed of light to seven significant figures. 4.0 2.997925*10e8 X Your response is off by a multiple of ten. m/s
- Your video analysis of the motion of a marble gives it position in frame 23 as (x23, Y23) = (0.134 m, 0.120 m) and its position in frame 24 as (x24, 324) = (0.122 m, 0.112 m). You esti- mate that you can measure the r and y positions with uncertainty +0.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this prob- lem, use 8(At) = 1 x 10-6 s. The mass of the marble is (2.031 +0.001) x 10-2 kg. Calculate the following quantities: 4. The value of the momentum component p = mv, and its uncertainty, 5. The value of the momentum component py = muy and its uncertainty, and 6. The value of the kinetic energy K = mv² = m(v² + v²) and its uncertainty.The speed of light is now defined to be c = 2.99792458 ✕ 108 m/s . Express the speed of light to three significant figures. Express the speed of light to five significant figures. Express the speed of light to seven significant figures.You are an engineer assigned to build a spaceship. The length and diameter of your spaceship as measured by an astronaut on board are 80.0 m and 25.0 m, respectively. The spaceship moves at 70% the speed of light relative to you on Earth in a direction parallel to its length. What are its dimensions as measured by you on Earth?