Your garage mechanic is flying from St. Hubert to Québec City in a Cessna. His Cessna flies at an air-speed of 150.0 km/hr. To make it easy he decides to fly along Route 30 from St. Hubert, which is straight North out of St Hubert. (In the old days the CPR railway across Western Canada was referred to by bush-pilots as the "Iron Compass". As a non-counting trivia question, why?). However, to follow along highway 30 he finds that he must point his plane in the direction 3 degrees West of North. By following the highway markers he finds that he is actually travelling North at 149.0 km/hr. Being a clever person (he recently got an "A" in physics 101 but decided to go into garage mechanics instead of medicine) he quickly calculates the wind-speed to be (answer below in kilometers per hour). What is the direction of the wind? Give the direction in degrees relative to North; positive for East, negative for West

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2.00i^ + 6.00j^B→ = 3.00i^ - 2.00j^

Q: Most Earth satellites follow an oval path around Earth, rather than a circular path. The potential…

A: We know that, Total energy of satellite= Kinetic energy+ Potential energy This energy of satellite…

Q: A 1,068kg truck drives along a circular round-a-bout with a radius of 49 m at a constant speed of 17…

A: Given data:  Mass (m) = 1,068 kg Radius (r) = 49 m Speed (v) = 17 m/s

Q: Sam moves South for 1200km then he turns 70° S of E for 500km. What is his direction and…

A: Consider the diagram for the position of San as follows.

Q: You are walking through your neighborhood and you see a boy on the roof of a building kicking a…

A:

Q: Our garage mechanic is flying from St. Hubert to Québec City in a Cessna. His Cessna flies at an…

A: OB=170 km/hOC=190 km/h

Q: (a) What is the magnitude of the centripetal acceleration of an object on Earth’s equator due to the…

A: Given information: Here, Re is the Earth’s equatorial radius (standard value).

Q: A 2.6 kg block is attached to a horizontal rope that exerts a variable force Fx (205x) N, where x is…

A:

Q: Kyle, a football player, kicked a 0.550 [??] ball off a rooftop that is 90.0 [?] off the ground, at…

A:

Q: A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 95…

A: We need to calculate the centripetal acceleration of the car.

Q: A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.50 km.…

A:

Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

A:

Q: 15. Assume a police station is located along a straight east-west freeway. At noon (t=0), a patrol…

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Q: In a cathode-ray tube, electrons are projected horizontally at 8.5 x 106 m/s and travel a horizontal…

A:

Q: A falcon is flying at a bearing of 199o with an airspeed of 190 miles per hour. The wind is blowing…

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Q: Alex is flying a plane to a location 1000 km due north of her present location. There is 45km/h wind…

A:

Q: An airplane is flying north. It makes a gradual 180° turn (at any instant, the turning angle is less…

A:

Q: A student club is designing a trebuchet for launching a pumpkin into projectile motion. Based on an…

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Q: You plan to shock your sibling with an electrostatic charge. To do this, you need to collect…

A: charge on your sibling (Q) = 8.2×10-6 C

Q: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc…

A: Given data: Distance traveled (d) = 200 m Radius of circular path (r) = 35 m Time (t) = 24.2 s…

Q: A car is traveling at a speed of 88 km/hr on a circular racetrack of radius 670 m.  What is its…

A: Given :  Radius of the racetrack (r) = 670m Speed of the car (v) = 88 km/hr

Q: Uniform circular motion involves three key variables: the moving object's speed, the size of the…

A:

Q: An Earth satellite moves in a circular orbit 940 km above Earth's surface with a period of 103.6…

A:

Q: A ball traveling in a circle with a constant speed of 3.6 m/s has a centripetal acceleration of 7.0…

A: Given data: Speed (v) = 3.6 m/s Centripetal acceleration (ac) = 7.0 m/s2 Required: The radius of the…

Q: An Earth satellite moves in a circular orbit 681 km above Earth's surface with a period of 98.17…

A: Height, h = 681 km Period, T = 98.17 min = 98.17×60 s = 5,890.2 sRadius of earth, R = 6371 kmOrbital…

Q: You are on a boat in the middle of the Pacific Ocean at the equator traveling in a hydrofoil going…

A: If boat start going along North from the equator, at the starting point there will be only…

Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

A:

Q: 10. A vehicle is driving on a highway, driving at 100km/h, pointed [North 35° West]. What are the…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour…

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Q: A car goes around a bend in the road. While the car is going around the bend, its average…

A:

Q: You're designing a highway so that the maximum centripetal acceleration on a curve is no more than…

A: Calculating the required radius of curvature:

Q: 1. You are hiking through the woods and you travel 10 km at 45 degrees at which point you then…

A: The given situation can be represented as,

Q: In a circular motion, if an object has a speed of 34.8m/s, and radius of the circular path is 80.2…

A:

Q: An airplane is flying north. It makes a gradual 180 ° turn (at any instant, the turning angle is…

A:

Q: How long does it take a plane, traveling at a constant speed of 180 m/s, to fly once around a circle…

A: Given data:  Speed (v) = 180 m/s Radius of circular path (r) = 3030 m Required: Time taken to fly…

Q: 3. Determine the components of the vector 2.50 m [N 38.0° W]. ™ 4. A student walks 25.0 m [E 30.0°…

A:

Q: In a circular motion, if an object has a speed of 35.5m/s, and radius of the circular path is 45.2…

A: Recall centrepetal acceleration=v2/r As speed=v=35.5 m/s radius=45.2 m

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.