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- 8. Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? 13 y R N Ꮎ 1A W N S E9▶ Answer Exercise: Determining Arc Length in an Application PDF Transcript for Exercise: Determining Arc Length in an Application 32. Trenton, New Jersey (40.2°N, 74.8°W), is located north of the equator, and Ayacucho, Peru (13.2°S, 74.2°W), is located south of the equator. The longitudes are nearly the same, indicating that the cities are roughly due north-south of each other. Use the difference in latitude to approximate the distance between the cities. 83. A pulley is 16 cm in diameter.
- Item 2 Part A Find the orbital speed of a satellite in a circular orbit 3.35×107 m above the surface of the Earth. Express your answer in meters per second. ► View Available Hint(s) V = Submit ΑΣΦ HIIL m/s10. A dog runs due North with a speed of 2.4 m/s, while the cat it's chasing flees at 7 m/s at 49° North of East. What is the cat's speed with respect to the dog?a planet has a moon which is 2.5x10^9 m away from the planet, the moon makes a circular orbit around the planet with a period of 18 days, what is the centripetal acceleration in m/s^2 of the moon?
- A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.05 radians since it started moving. The racecar is how many radius lengths to the right of the center of the race track? radius lengths The racecar is how many meters to the right of the center of the race track? meters The racecar is how many radius lengths above the center of the race track? radius lengths The racecar is how many meters above the center of the race track?An airplane has an air speed of 267 miles per hour and a compass heading of 140°. A steady wind of 54 miles per hour is blowing in the direction of 183°. What is the plane's true speed relative to the ground? What is its compass heading relative to the ground? W. 270° ... The groundspeed is miles per hour. (Round to the nearest integer as needed.) 270 240 300 320 072 N, 0° 340 1 opz 081 091 S, 180° 09 90 1 100 120 140 E, 90°1. A cannonball is launched at a 60.0° from the ground at 100.0 m/s. Calculate the maximum height achieved, the distance it traveled horizontally, and the time it took to travel its horizontal distance.
- 3. For an object in uniform circular motion (UCM), what is the direction of the centripetal acceleration?A race-car starts at the 3 o’clock position and drives counterclockwise on a circular track with a radius 4 miles. a/ What distance (in miles) has the race-car traveled if the angle swept out by the race-car is: (i). 90◦ (degree)? (ii). 5 radians? b/ What is the angle measure (in radians) swept out if the race-car has traveled 4 miles counterclockwise? c/ What does it mean about the path of the car for the angle measure to be greater than 4π radians? Explain.H.W: In the Boher model of the hydrogen atom an electron moves at 2.19*10m/s in an orbit of radius 5.29*10" centered on a proton. (a)what is the centripetal force on the electron? (b)what is the number of revolutions made each second? Ans. (a)9.06*10"m/s (b = 6. 58 + 1015 1/s H.W: A ball is thrown with an initial speed voat an angle 0 below the horizontal from rooftop 44m above the ground. It lands 2sec later at a point 32m from the Vor base of the building. Find vo and 0 Ans. 0 = -37.32vo = 20. 1m/s H.W: A ball thrown up from a rooftop of height 40m lands on ground in 4s. (a)what is its maximum height above the ground? (b)what is its velocity 15m below the rooftop? Ans. (a)44.7m (b) v = -19.65 4 H.W: An object is thrown horizontally at 20m/s from a cliff top 45m above sea level. Find (a)the time to land; (b)the angle at which it hits the water; (c)the speed at which it hits the water. Ans. (a)3.03s (b)Ø = -54.73 (c)35.79m/s