Situation 5. Determine the magnitude of F, and its direction 0 so that the resultant force is directed vertically upward and has a magnitude of 800 N. Express your solution in Cartesian vector form.
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- A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 18.3 m above the river, whereas the opposite side is a mere 1.5 m above the river. The river itself is a raging torrent 57.0 m wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. View Available Hint(s) v0 = Submit [5] ΑΣΦ Part B V = X Incorrect; Try Again; 7 attempts remaining Previous Answers Request Answer Submit poz What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second. ► View Available Hint(s) 15]…Consider the following vectors: A = 5.2j; B = -4.1i + 2.5j. Draw a diagram showing the addition of vectors A and B. (a) Find A + B in the Cartesian (x and y component) form. (b) Find the magnitude of A + B. (c) Find the direction of A + B, expressed as a polar angle. (d) Find 1.5A - 3.2B in the Cartesian (x and y component) form. (e) Find the magnitude of 1.5A - 3.2B. (f) Find the direction of 1.5A - 3.2B, expressed as a polar angle. Note: New drawing also with solutionTwo vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?
- 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).Determine the x and y components of the following three vectors in the xy plane. (a) A 6-m displacement vector that makes an angle of 34° clockwise from the +y direction. x: m y: m (b) A 29-m/s velocity vector that makes an angle of 39° counterclockwise from the -x direction. x: m/s y: m/sLet A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of west). Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east. b. Write A, B, and C in component form, using unit vectors. c. Find the magnitude and the direction of D = A + B+ C.
- You are wondering how high that hawk is, surveying your back yard from a perch at the top of an oak tree toward the back property line. Remembering that you learned about vectors in physics, you measure off two components of a vector from your feet to the bird. Let "x" be parallel to the back of your house, and "y" perpendicular to the house out to the base of the tree. The vector to the bird would be (x, y, z). If x is 49 and y is 70 meters, what would z be in meters such that the angle from your feet to the bird is 45 degrees?question 2. Suppose there are two force vectors ⃗F1 = (F1,x,F1,y) and ⃗F2 = (F2,x,F2,y). Add these to obtain ⃗F = ⃗F1 + ⃗F2. Under what circumstance is the magnitude F equal to the sum of the magnitudes F1 + F2? You must justify your answer, to receive credit (as always). my three angles are 0°,230°,144° my three forces are 9.8, 5.782,7.546The town of Calculusville is 95 m above sea level and the town of Vectorville is 178 m above sea level. The two towns are 4.8 km apart along a straight, smooth road. A family decides to move from Calculusville to Vectorville. They pack all their belongings in a trailer hitched to their SUV. The SUV pulls the trailer up the road using a force, in newtons, defined by the vector F = [25 000, 14 000]. a) Find the force drawing the trailer up the hill and the force, perpendicular to the hill, tending to lift it. b) What is the work done by the SUV in pulling the trailer up the hill? What is the work done in raising the altitude of the trailer? d) Explain why your answers to parts b) and c) are different.
- Pls do fast and i will rate instantly for sure. Solution must be in typed formLet the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A