The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 12.0 ° north of the equator.

Q: A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the…

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Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction…

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Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

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Q: A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0°…

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Q: A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of…

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Q: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a…

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Q: Suppose Alex is navigating using a compass. She starts walking at an angle 60° north of east and…

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Q: A skier is traveling at 13 m/s while being 180 m high on a mountain. The skier goes over a jump at a…

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Q: At a latitude of Φ=33°, at an altitude of 30000 km above the Earth's center, what is the…

A: To determine the acceleration vector of an object at a specific latitude and altitude, we need to…

Q: Oasis B is 6.0 km due east of oasis A. Starting from oasis A, a camel walks 22 km in a direction…

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Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…

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Q: A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north…

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Q: Problem 5. An object moves on a circular path such that its distance covered is given by the…

A: Solution:-Given thats=(0.5t2+2t) mMagnitude of accelerations at t1=2sMagnitude of accelerations at…

Q: A person walks in the following pattern: 2.2 km north, then 2.9 km west, and finally 4.4 km south.…

A: Given:- A person walking a distance in the north direction is d1=2.2 km Then he walks in the west…

Q: Three vectors are shown in the figure below, along with an x-y coordinate system. у (m) 2- -x (m) 5…

A: From the figure adding vector A+B+C = R a) now the magnitude of the…

Q: A car drives around a circular track of diameter 144 m at a constant speed of 49.4 m for a second.…

A: Total acceleration of the car during a circular motion is given as  a=ac2+at2…

Q: Initially, an object in uniform circular motion (assume clockwise motion) has a velocity m vector…

A: The acceleration by any object in uniform circular motion is define by a=v2r Here, a is…

Q: As a test of orienteering skill, your physics class holds a contest in a large, open field. Each…

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Q: Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 97.0 km due…

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

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Q: In the figure, a radar station detects an airplane approaching directly from the east. At first…

A: Given data- Initial distance is d1=330 m Initial angle θ1=41∘ Final distance is d2=850 m Angular…

Q: An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 28.7…

A: Here: |v→p|=169.1 mph|v→w|=28.7 mph|v→PG|= velocity of plane with respect to ground

Q: In the figure, a radar station detects an airplane approaching directly from the east. At first…

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Q: A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north, as shown in…

A: First displacement of the car (d1→) = 20 km j^Second displacement of the car (d2→) = 35 km (…

Q: An object moves in a circular path at a constant speed. What is the relationship between the…

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Q: In the sport of orienteering, participants must plan carefully to get from one checkpoint to another…

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Q: It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0…

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Q: An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while…

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: We know the axis orientation as:

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north.   How far are you from your…

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Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: Given value--- x=7sin((pi/8)t), y=-7cos((pi/8)t) We have to find--- How long (in sec) does it…

Q: A ship sets out to sail to a point 142 km due north. An unexpected storm blows the ship to a point…

A: Solution:-Using Pythagoras theorem

Q: A hiking girl needs to go 59.3 km straight North to get to base camp, instead the compass confuses…

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Q: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 89.0 km due…

A: Given: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 89.0 km…

Projectile Motion