1. You travel in a direction exactly northeast and walk a total of 3 km. How much farther east are you compared to where you began? How much farther north are you? Answers: 2.12 km North, and 2.12 km East Ciuan uoctory =bi 5 î and b= -9i +2 jfind the magnitudes and directions of:

Q: Part (a) Calculate the magnitude of A + B. 4 sin) cos() tan() 8. 9 HOME cotan() asin() acos() E 4…

A: Given The vectors are given as A→=-3 i^-2 j^ and B→=-i^-4 j^   We have to find the magnitude of…

Q: 4. Two geological field teams are working in a remote area. A global positioning system (GPS)…

A: a) Let 'l' be the distance between 1 ξ 2    using co-sine rule for the triangle…

Q: A whale comes to the surface to breathe and then dives at an angle of 20.0 ° below the horizontal…

A:

Q: An airplane flies 200 km due west from city A to city B and then 300 km in the direction 30.0° north…

A:

Q: John is walking around cam alks 1.45 km west. Finally, Jc - What is the magnitude and

A: The John walks 2.4 km north  I'm then making a left turn and walking 1.45 km west. John makes a…

Q: *52. Go Two geological field teams are working in a remote area. A global positioning system (GPS)…

A:

Q: A plane takes off from an airport and flies to town A, located  d1 = 215 km  from the airport in…

A:

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. y4 A +B=R B E A Figure 3.23…

A: The displacement vector A→can be written as, A→=-18.0 mi^ The displacement vector B→ can be written…

Q: Hiker Harry walks 4 km east, then 7 km 25 degrees north of west. What is the magnitude and direction…

A:

Q: 2. A particular hurricane travels 678 km, 34.6° north of west before turning into a tropical storm.…

A: A vector is a quantity that has both direction and the magnitude. Therefore displacement is a vector…

Q: 9) Sela walks 50 meters South(A), then another 35 meters in a direction 45 degrees south of east. A-…

A:

Q: A high-tech drone flies over Miami, FL in a direction 57.3° west of north with a speed of 34.6 km/h.…

A:

Q: A high-tech drone flies over Miami, FL in a direction 58.3° west of north with a speed of 30.2 km/h.…

A: Let v1 and v2 be the drone’s speed during the fly 58.30 west of north and due north respectively.…

Q: 45 km 28 1. What is the magnitude and direction of AB.

A: 1) Draw the free-body diagram of the vector.

Q: ow do I calculate the integral of the magnitude?

A:

Q: A plane takes off from an airport and flies to town A, located  d1 = 230 km  from the airport in…

A: Given:λ1=230 km ( 20° North of east)λ2=215 km (30° West of north)

Q: difference between the front end of the plane and the tail end of the plane? 3.11 You are piloting a…

A: The height difference between front end and trail end of the plane is = 11.24 ft

Q: . A commuter airplane starts from an airport and takes the Route. The plane first flies to city A,…

A: The city A located at 175km in 30.0° north of east The city B located at 150km in 20.0° west of…

Q: 23. An airplane banks at an angle of 11° while flying in a level circle at 316 mi/h. What is its…

A: Given data The banking of the airplane while flying is θ=11°. The velocity of the airplane is v =…

Q: 4. As it passes Grand Bahamas Islands, the eye of the hurricane Katrina is moving in a direction of…

A: The graphical representation of the movement of hurricane Katrina is given as:

Q: magnitude and direction of the result

A:

Q: Find her distance R from the starting point in kilometers b) Find the angle in degrees N of E

A:

Q: Question 8 A diver running 1.7 m/s dives out horizontally from the edge of a vertical cliff and 3.2…

A:

Q: A car starts from the origin and travels 6.72 m in the direction 13.12 degrees south of west. Then…

A:

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A: Location of first team (d1→) = 42 km @23o North of west Location of second team (d2→) = 25 km @36o…

Q: . What is the order of magnitude of the age of a 40-year-old person in seconds?

A:

Q: A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the…

A: Let the town be A and B Given that Town B is located 35 km south and 72 km west from town A

Q: he map below shows that Atlanta is 730 miles in a direction 5.00° north of east from Dallas, and…

A: Given,Position of Atlanta is 730 miles in direction 5◦ north of east from Dallas and position of…

Q: 1. Draw and label the vector with these components. Then determine the magnitude and angle of the…

A: 1.  (a) Ax = 3, Ay = - 2  The magnitude is given by  A= Ax2+Ay2A= 32+(-2)2A = 3.6  The angle is…

Q: Which of the following equations would give the x-component of A with magnitude of 765m, 143°?…

A:

Q: An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 36.0°…

A:

Q: Ex.2 A person carrying a barometer at the bottom of a building; Baromet reading was 74 cm Hg, how is…

A:

Q: A plane is flying high in the sky over a highway as shown in Figure Q1(a). Car A is traveling on a…

A:

Q: 8. [#138] What's my bearing The horizontal vector A has magnitude A = 2.2 and its direction is 0 =…

A:

Q: 1. The average distance between Earth and the Sun is 1.5 × 108 km. (a) Calculate the average speed…

A: Given Distance between earth and the sun = r = 1.5 × 108 km We have to calculate (a) the average…

Q: An engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117…

A: Write the positions in vectors form.

Q: A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the…

A: According to company policy, only first question will be answered here. Please post the rest…

Q: A plane flies northwest out of O'Hare Airport in Chicago at a speed of 400 km/hr in a direction of…

A:

Q: 1. You find a pirate map which describes the path to a buried treasure. Starting from an old oak…

A: 1. Given: starting point :  old oak tree 1st step : 16 m due west 2nd step : 21 m due 30o N of E 3rd…

Q: Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of…

A:

Q: to take note how far you have walked and in what direction. On the third day, after wandering for…

A: Suppose we take three-day hiking. On the first day, we travel 5.0 km heading east. On the second we…

Q: Starting in Albany, you travel a distance 101 miles in a direction 37.1 degrees north of west. Then,…

A:

Q: y racecar races along a circular race track that has a radius of 32 meters. The racecar starts at…

A: GivenRadius of circular track, r=32 mDistance travelled by car along circular track, d=51 m

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.