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- #1 Consider two vectors: E1 with magnitude 7 N/C and at an angle of 20 degrees above the positive xdirection, and E2 with magnitude 5 N/C and at an angle of 30 degrees to the left of the positive ydirection. (a) Visualizing vector sums: Draw a vector sum diagram illustrating the sum EN = E1 + E2 andanother of the vector difference E1 = EN − E2. Make sure to label your arrows. Please makethe diagram as close to scale as possible (use a ruler to measure, or use a program that lets youdraw accurately.) (b) Interpreting vector diagrams: From the diagram, should the magnitude of the sum be larger orsmaller than 7 N/C? From the diagram, predict the general direction of the sum, within 1/8 ofa circle (for instance, between 0 and 45 degrees above the x axis, etc.) Note, this is one goodway to check your own answers when working with vectors. (c) Calculating vector components and sums: Compute the components and then the magnitude anddirection of the sum. For direction, we want the angle…Let the four compass directions north, east, south, and west be represented by unit vectors ne . . and respectively. Vertically up and down are represented as u and d. Let us also identify unit vectors that are halfway between these directions such as for northeast. Rank the magnitudes of the following cross products from largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking, (a) (b) (c) (d) (e)Vectors: a.) Can you find two vectors with different lengths that have a vector sum of zero?Explain your answer in detail. b.) Can the magnitude of an object’s displacement be larger than the distance it hastraveled? What is the condition for them being equal. Explain your answers in detail.
- I need help with Part C - F. Part C. At the instant just before the projectile hits point PP, find the horizontal and the vertical components of its velocity. Express your answers using three significant figures separated by a comma. Vx,Vy = ______ m/s Part D. At the instant just before the projectile hits point PP, find the magnitude of the velocity. Express your answer to three significant figures and include the appropriate units. V=_____ Part E. At the instant just before the projectile hits point P, find the angle made by the velocity vector with the horizontal. Express your answer to three significant figures and include the appropriate units. θ =_____ below the horizon Part F. Find the maximum height above the cliff top reached by the projectile. Express your answer to three significant figures and include the appropriate units. Ymax=______ In case you need this info to help you: Part A. Determine the time taken by the projectile to hit point PP at ground…Two Part question please help solve. A). A vector has a magnitude of 12 units and a direction of 20 degrees (relative to the x-axis). Find the x-component of the vector (or, in other words, how far to the right does the vector take you?) B). A vector has a magnitude of 20 units and a direction of 65 degrees (relative to the x-axis). Find the y-component of the vector (or, in other words, how far up does the vector take you?)Explain how to find the range of a projectile projected horizontally from a top of a building with an initial velocity (make up your own initial velocity). First, use the kinematic formula for finding the time it takes to hit the target, delta y = (1/2) gt^2 . Then use the equation R = Vx * t to find the range. Explain please
- Vector D = A+ B - C, where Ax=22, Ay= -12, Bx =5, By=-9, and C has a magnitude of 35 and points at +45 degrees. Use the analytical component method to calculate for Dx, Dy, and the angle of D.1. For each of the following, determine the components that make up the resultant vector. (see attached graphs). Can could explain how to do each of these. a) |F⃗g|=40N b) v⃗=25m/s [N15°E] c) A person throws a ball with an initial velocity of 16 m/s, 65° above the horizontal.a. Can a vector have nonzero magnitude if a component is zero?If no, why not? If yes, give an example.b. Can a vector have zero magnitude and a nonzero component?If no, why not? If yes, give an example.
- To get to the sandwich shop, you left home and drove 6 miles south, then 10 miles west, and lastly 3 miles north. A) If a bird flew from your house to the sandwich shop in a straight line, how far would the bird would fly? B) What direction with the angle should it fly from your house to get to the shop? Answer using mulitple vectorsTwo forces given f1 = 200N at 10 degree and f2 = 50N at 90 degree. Now use the component method, express the two forces, and their sum in terms of their components. What should the components of the third force be to cancel them out(Use Graphical method)? Using the components and find the magnitude and direction of this third force vector.A metro train starts from a terminal station. The train heads north for 475 m, then west for 165 m, then north for 410 m, then east for 650 m where it arrives at the next station. What is the magnitude of the displacement vector from the terminal station to the next station?