Find the force vector F on an object of mass m the uniform gravitational field when it is at height z = 0. The +z direction is up.Express vector force in terms of m, z. g. and k, where k is the unit vector in the +z direction. To create the k character: In theequation editor window, select "More", then select "Vectors", and you will find what you need.To write out a vector: for example, if the answer has both x and y components, you would answer in the format Fi + FjF(z) = -mgkNow find the gravitational potential energy U(z) of the object when it is at an arbitrary height z. Take zero potential to be atposition z=0. Keep in mind that the potential energy is a scalar, not a vector. Express U(z) in terms of m. z. and g.U(2)=In what direction does the object accelerate when released with initial velocity upward?downwardOupward or downward depending on the initial mass m.upward or downward depending on the initial velocityupwardNow consider the analogous case of a particle with charge q placed in a uniform electric field of magnitude E, pointingdownward (in the -k direction).What is F(z) in terms of q, E, z. and k ?F(z) =-qEkX What is the potential energy U(z) of this charged particle when it is at height z? Take zero potential to be at position z=0.Express U(z) in terms of q. E, and zU(X) = GEIn what direction does the charged particle accelerate when released with upward initial velocity?O upwardOdownwardOupward or downward depending on the initial speed upwardOupward or downward depending on the sign of the charge qFind the electric potential (also called the voltage) V of the uniform electric field E = E k. Note that this field is not pointing inthe same direction as the field in the previous section of this problem. Take zero potential to be at position z=0.Express V in terms of q. E, and z.V(z) =

Answered: Image /qna-images/answer/e00c1bb4-ee44-42f6-9d5b-9e199674b2f6.jpg

Find the force vector F on an object of mass m the uniform gravitational field when it is at height z = 0. The +2 direction is up. Express vector force in terms of m, z, g. and k, where k is the unit vector in the +z direction. To create the k character: In the equation editor window, select "More", then select "Vectors", and you will find what you need. To write out a vector: for example, if the answer has both x and y components, you would answer in the format Fi + F,j F(z) = -mgk Now find the gravitational potential energy U(z) of the object when it is at an arbitrary height z. Take zero potential to be at position z=0. Keep in mind that the potential energy is a scalar, not a vector. Express U(z) in terms of m, z, and g. U(z) = mg In what direction does the object accelerate when released with initial velocity upward? downward Oupward or downward depending on the initial mass m. Oupward or downward depending on the initial velocity Oupward Now consider the analogous case of a particle with charge q placed in a uniform electric field of magnitude E, pointing downward (in the -k direction). What is F(z) in terms of q, E, z. and k? K

Find the force vector F on an object of mass m the uniform gravitational field when it is at height z = 0. The +2 direction is up. Express vector force in terms of m, z, g. and k, where k is the unit vector in the +z direction. To create the k character: In the equation editor window, select "More", then select "Vectors", and you will find what you need. To write out a vector: for example, if the answer has both x and y components, you would answer in the format Fi + F,j F(z) = -mgk Now find the gravitational potential energy U(z) of the object when it is at an arbitrary height z. Take zero potential to be at position z=0. Keep in mind that the potential energy is a scalar, not a vector. Express U(z) in terms of m, z, and g. U(z) = mg In what direction does the object accelerate when released with initial velocity upward? downward Oupward or downward depending on the initial mass m. Oupward or downward depending on the initial velocity Oupward Now consider the analogous case of a particle with charge q placed in a uniform electric field of magnitude E, pointing downward (in the -k direction). What is F(z) in terms of q, E, z. and k? K

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 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...

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