2. A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of steps: one step towards east and then one step towards north, with each step corresponding to equal lengths. If after making 1000 pairs of steps, the robot can be found at 956.8m, 45° NE, what is the length of each step?
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- A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation of the fourth side D. What is his result?One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3. O127.6 4. O118.2 5. O111.7
- A little turtle is placed at the origin of an xy-grid drawn on a large sheet of paper. Each grid box is 1.0 cm by 1.0 cm. The turtle walks around for a while and finally ends up at point (24, 10), that is, 24 boxes along the x-axis, and 10 boxes along the y-axis. Determine the displacement of the turtle from the origin at the point.I need help with this attached question: The units given for the answers are also attached.43. John is walking around campus. John walks 2.4 km north. John then makes a left turn and walks 1.45 km west. Finally, John makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of John from the starting point? А. 3.9 km, 24° north of west В. 3.9 km, 66° north of west С. 5.3 km, 70° north of west D. no answer is correct Е. 5.3 km, 59° north of west
- 11) find the correct value of this question.c) The geodesics of the sphere are great circles. Thinking of θ = 0 as the North pole and θ = π as the South pole, find a set a solutions to the geodesic equation corresponding to meridians, andalso the solution corresponding to the equator.C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn'cn² G™³ where: the Plank constant: ħ = 1.0545717260000002 x 10-34kg m²s-1 the light speed: and the universal constant of gravity: n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. c = 299792458 m/s = 6.673848 x 10-1'kg¬'m³s-2 Example: {velocity}plank=C=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= Volume {V}Plank (3 signiflcant n2= {V}plank= x 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3=