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- Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]Calculate the angle between the vectors: A= 6.11-3.0j-6.8k and B = 8.3î +2.9j-6.7k. Express your answer using two significant figures. ?
- Newton's law of universal gravitation is represented by Mm F = G• where F is the gravitational force, M and m are masses, and r is a length. Force has the Sl units kg - m/s?. What are the Sl units of the proportionality constant G?QUESTION 2 Two vectors have the following magnitude, A = 11.5 m and B = 7.5 m. Their vector product is: AXB = -2.5 mi+ 12.3 m k. What is the angle (in degrees) between the vectors A and B? Hint. Use |AxB = AB sin(e) Note: Bold face letters represents a vector. QUESTION 3 Supply what is asked with the correct integer values, i.e. no decimal places. Do not forget the neg Click Save and Submit to save and submit. Click Save All Answers to save all answers.The unit vectors of Cartesian Ox,x,xz, cylindrical Opøx, and spherical Or0ø coordinate systems are denoted by (f,,f,,â; ), (§.§̟î‚) and (î,ô,§) respectively. Perform f - dễ and choose correct de answer. A -1 B 1. D 2
- 2:53 个 mylabmastering.pearson.com Part A Given two vectors A = 3.80 +7.20j and B=4.802 -1.90j, find the scalar product of the two vectors A and B. A. B = 4.56 Submit Part B 0 Correct Correct answer is shown. Your answer 4.5 was either rounded differently or used a different number of significant figures than required for this part. Find the angle between these two vectors. Express your answer in degrees. 箔 Previous Answers ΑΣΦ 36 Submit Previous Answers Request Answer LTE O + 12 C ? :1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the cartesian coordinates of this point? 2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north), 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components. 3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A - B + 3C= 0, what are the components of C? 4. The vectors A and B are given by A 2i +3j and B = -i +2j. (a) Determine the scalar product A.B. (b) Find the angle 0 between A and B. (c) Determine the vector product AXB.1. The polar coordinates of a point are r =5.50 m and 0 = 240°. What are the cartesian coordinates of this point? 2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north), 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components. 3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A - B + 3C= 0, what are the components of C? 4. The vectors A and B are given by A 2i +3j and B = -i +2j. (a) Determine the scalar product A.B. (b) Find the angle 0 between A and B. (c) Determine the vector product AXB. 5. The vector position of a particle varies in time according to the expression r = (3.00i - 6.00t 2 j) m. (a) Find expressions for the velocity and acceleration as functions of time. (b) Determine the particle's position and velocity at t = 1.00 s. 6. A…
- A newly discovered planet X has a mass of 45.0 x 1023 kg and radius 4.82 × 106 m. What is g on this planet's surface, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.The Cartesian coordinates of point P are (- 6.50 m, 8.75 m). Question 4 The length of P is ...... Question 5 The polar angle of P is ...An apple of mass m = 0.17 kg falls out of a tree from a height h = 3.5 m.