4.53 B. 80.00 C. I.I +21.6 112.3 3.70 33.7 SSM Example 1-4 1-5 Dimensional analysis is a powerful way to check the results of a physics calculation 41. One equation that describes motion of an object is 5 xat+vot +xo, where x is the position of the object, a is ai the acceleration, t is time, vo is the initial speed, and xo is the initial position. Show that the dimensions in the equation are consistent. 42. . One equation that describes motion of an object is x ut t xo, where x is the position of the object, v is its speed, t is time, and xo is the initial position. Show that the dimensions inx bl the equation are consistent. SSM 43. . The motion of a vibrating system is described by y(x, t) A e-at sin(kx-wt). Find the SI units for k, a, and α. 44. . The kinetic energy of a particle is K m2, where m is the mass of the particle and v is its speed. Show that 1 joule (J), the SI unit of energy, is equivalent to 1 kg m2/s2. 45. .The period T of a simple pendulum, the time for one complete oscillation, is given by T 2TV(L/8), where L is the per length of the pendulum and g is the acceleration due to gravity Show that the dimensions in the equation are consistent obj in a 46 . Which of the following could be correct based on a body dimensional analysis? A. The volume flow rate is 64 m3/s B. The height of the Transamerica building is 332 m2. C. The time required for a fortnight is 66 m/s. D. The speed of the train is 9.8 m/s E. The weight of a standard kilogram mass is 2.2 lb F. The density of gold is 19.3 kg/m2. SSM to tra speed and in nifica amoun mass h in m General Problems 47. You hire a printer to print concert tickets. He delivers them in circular rolls labeled as 1000 tickets each. You want to check the number of tickets in each roll without counting thousands of tickets. You decide to do it by measuring the diameter of the rolls f th an

You arrive at a home to find a young man deceased in his bedroom at his parents home. His parents state he came home from work at about 5pm the night before then went out some clubs and came home in the early morning. In his pants you find 700 in cash and an atm receipt from that night time stamped 7:30 pm withdrawing $40.00 dollars from his bank. What various scenarios can explain findings ? Detail at least two possible scenarios for what might have happened include details including 1. Where he might have been 2. Who he might have been with 3. What activities he might have been engaged in  4.how the evidence you have found might support/ negate your theory

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Block A Block B Block C 2 cm 2 cm 2 cm 2 cm 2 cm 2 cm 2 cm 2 cm 2 cm 7 Block A, Block B, and Block C have the same volume. Each of the particles in the blocks has the same mass. Which block has the greatest density? A Block A B Block B C Block C Block B and Block C have the same density.

Problem 71

Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of thè pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 3.70 kg) moves is frictionless. The system is released from rest, and block B (mass 6.00 kg) moves Part A What is the tension force that the rope exerts on block B? downward 1.80 m in 2.00 s. Express your answer with the appropriate units. HÁ TB = Value Units Submit Request Answer Part B What is the tension force that the rope exerts on block A? Express your answer with the appropriate units. HẢ 王新 TA= Value Units

What is the potential energy of an electron at the point P of the capacitor shown in the figure? (e = 1.6 x 10 19 C) %3D 300 V OV 5.0 mm 3D 3D 1 mm 1 mm 1 mm 1 mm 1 mm

Both the slope and percentage calculations please

A child walking in a field makes three consecutive displacements. The child first moves 6.25 m westward, then 12.9 m northward. Finally, the child moves back to the starting point of the first displacement. What is the magnitude and direction of the child's third displacement? Give the magnitude in m and the direction as an angle south of east. magnitude 14.33 v m direction 115.18 Use trigonometric functions, along with the components of the vector sum, to find the angle. Check the direction against your diagram.° south of east Additional Matoriale

A vector has a magnitude of 2.8 m and points in a direction that is 135 counterclockwise from the a axis. You may want to review (Page 71).