3. A STEM student walks 600 m East, then turns 400 m North and finally walks 300 m West. What is his resultant displacement? Scale: 1 cm = 100 m
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add the vectors GRAPHICALLY in 1 2 and 3 and please show your work with encoded solutions.
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- Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of east for 5.9 km (see Figure) North 60° + East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi+ 2.95 mj O b. 5.90 mi+ 1.60 mj O c. 2.95 mi+-3.51 mj O d.-1.35 mi+5.11 mj O e. None of the aboveA vector has the components A = 23 m and A, = 13 m. ▼ Part A What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units. Value Submit μA Part B → HA Value Units Request Answer What angle does this vector make with the positive z axis? Express your answer to two significant figures and include appropriate units. REFT ESIVE Units ?
- Cartesian Vectors in Two dimensions3. Select the expression that denotes a unit vector in the direction of F1 . a. 0.643i - 0.766 j b. 0.766i - 0.643 j c. -0.766i - 0.643 j d. 0.766i + 0.643 j 4. If α = 45ᵒ , determine the magnitude of P that makes the resultant of the three vectors(R = F1 + F2 + P ) horizontal.a. 93.9lb b. 51.5lbc. 72.7lb d. 25.8lb 5. Ifα = 45ᵒ , and the resultant (R = F + F + P ) is horizontal, determine its magnitude, R . a. 132lb b. 86.6lbc. 97.7lb d. 24.9lb 6. Ifα = 45ᵒ , find the magnitude of the projection of F1 in thedirection of P .a. 3.24lb b. 4.49lbc. 6.97lb d. 11.2lbA car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find the magnitude and direction of the car's resultant displacement. Step 0. Draw the vectors for better visualization. Label the vectors. Step 1. Get the components of each vector in the x and y axes. Step 2. Add all the components in the x axis to determine Ry. Add all the components in the y axis to determine R, Step 3. Solve for the magnitude of the resultant vector, R. Solve for the direction of the resultant vector, R.8. You walk 100 m towards North, then 100 m 40 degrees North of East, and you then proceeded for another 100 m at 60 degrees DS of west. a. Sketch the given vectors using head-to-tail method. b. Solve for the magnitude and direction of the resultant vector.
- Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label an angle that specifies the vector’s direction, then find the vector’s magnitude and direction.a. νx = 20 m/s, νy = 40 m/sb. ax = 2.0 m/s2, ay = -6.0 m/s2A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R,. (b) What is the magnitude of this vector? (c) Notice that R, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R2. b Ro R1 Figure P3.45a. vx = 20 m/s , vy = 36 m/s . Find the vector's magnitude and direction. c. ax = 3.0 m/s2 , ay = -7.5 m/s2 . Find the vector's magnitude and direction.
- Q2. A dog searching for a bone walks 3.5m south, then 8.2m at an angle 30°north of east, and finally 15m west. Find the dog's resultant displacement vector? ok Pro ) 8 A9 9 + I|stion A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of eact for 5.9 km (see Figure) North out of 60° East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi + 2.95 mj Ob. 5.90 mi+ 1.60 mj Oc. 2.95 mi+-3.51 mj Od. None of the above O e. 1.35 mi- 5.11 mjTopic: Vector 1. A spelunker is surveying a cave. She follows a passage 180 m straight west, then210 m in a direction east of south, and then 280 m at east of north. After a fourth unmeasured displacement, she finds herself back where she started. ...Use a scale drawing to determine the magnitude and direction of the fourth displacement. Solve only clean handwriting ok must. Don't copy paste