6. A frictionless cart sits on a ramp that is tilted down at an angle of 30.0° from horizontal. The cart is released from rest, with an initial position of * = [0 m] + [0.500 mlj It rolls down the ramp (down and to the right) once it is released, and it's acceleration points down the ramp, parallel to the ramp, with a magnitude of 4.90 m/s². Use a coordinate system where up is +y and to the right is +x. a. What are the x- and y-components of the cart's initial velocity? b. What are the x- and y-components of the cart's acceleration? c. Use your answers to parts a and b to find the cart's position and velocity 1.50 seconds after it is released. Write your answers in unit vector notation.

6. A frictionless cart sits on a ramp that is tilted down at an angle of 30.0° from horizontal. The cart is released from rest, with an initial position of * = [0 m] + [0.500 mlj It rolls down the ramp (down and to the right) once it is released, and it's acceleration points down the ramp, parallel to the ramp, with a magnitude of 4.90 m/s². Use a coordinate system where up is +y and to the right is +x. a. What are the x- and y-components of the cart's initial velocity? b. What are the x- and y-components of the cart's acceleration? c. Use your answers to parts a and b to find the cart's position and velocity 1.50 seconds after it is released. Write your answers in unit vector notation.

Name: 6. A frictionless cart sits on a ramp that is tilted down at an angle
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Description: 6. A frictionless cart sits on a ramp that is tilted down at an angle of 30.0° from horizontal. The cart isreleased from rest, with an initial position of* = [0 m] + [0.500 mljIt rolls down the ramp (down and to the right) once it is released, and i

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
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