1. If vectors P = (2i+ 3j+ 6k) cm and Ŕ = (10i - 5j+ 10k) cm, then what is the A. sum of P and Ŕ? B. difference between P and Ŕ? E. magnitude of Ŕ? F. unit vector in the direction of R C. magnitude of P? D. unit vector in the direction of P? G. scalar product of P and R? H. vector product of P and R? 2. A stone is thrown from the top of a building upward at an angle of 30° with the horizontal with an initial speed of 20 m/s. The height of the building is 45.0 m. A. How long does it take the stone to reach the ground? and B. What is the speed of the stone just before it strikes the ground? 3. A wheel is under a constant angular deceleration of 5rad/s2. Its initial speed is 3rad/s. A. What angular distance in rad, rev and degrees will it travel just before coming to rest? B. How long will it travel just before coming to rest? 4. A block with mass m₁ = 6kg that slides on a table with μk = 0.2 is attached by a massless string over a massless, frictionless pulley to a hanging ball with mass m₂ = 4kg as shown in the figure below. Calculate the tension in the string and the acceleration of the system. (Take: g= 10m/s²) m2 5. A 6.0-kg block moving at 3m/s is accelerated to the right along a horizontal surface by a constant horizontal force of 27 N (take: g = 10m/s²). A. Draw the body-diagram of the block that indicates the forces acting on it B. Find the speed of the block after it has moved 3.0 m along a frictionless surface C. If μk = 0.45, is the block moving with a constant velocity ? D. If your answer for B is yes, calculate the power applied to the block in terms of v
1. If vectors P = (2i+ 3j+ 6k) cm and Ŕ = (10i - 5j+ 10k) cm, then what is the A. sum of P and Ŕ? B. difference between P and Ŕ? E. magnitude of Ŕ? F. unit vector in the direction of R C. magnitude of P? D. unit vector in the direction of P? G. scalar product of P and R? H. vector product of P and R? 2. A stone is thrown from the top of a building upward at an angle of 30° with the horizontal with an initial speed of 20 m/s. The height of the building is 45.0 m. A. How long does it take the stone to reach the ground? and B. What is the speed of the stone just before it strikes the ground? 3. A wheel is under a constant angular deceleration of 5rad/s2. Its initial speed is 3rad/s. A. What angular distance in rad, rev and degrees will it travel just before coming to rest? B. How long will it travel just before coming to rest? 4. A block with mass m₁ = 6kg that slides on a table with μk = 0.2 is attached by a massless string over a massless, frictionless pulley to a hanging ball with mass m₂ = 4kg as shown in the figure below. Calculate the tension in the string and the acceleration of the system. (Take: g= 10m/s²) m2 5. A 6.0-kg block moving at 3m/s is accelerated to the right along a horizontal surface by a constant horizontal force of 27 N (take: g = 10m/s²). A. Draw the body-diagram of the block that indicates the forces acting on it B. Find the speed of the block after it has moved 3.0 m along a frictionless surface C. If μk = 0.45, is the block moving with a constant velocity ? D. If your answer for B is yes, calculate the power applied to the block in terms of v
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 21PQ
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Transcribed Image Text:1. If vectors P = (2i+ 3j+ 6k) cm and Ŕ = (10i - 5j+ 10k) cm, then what is the
A. sum of P and Ŕ?
B. difference between P and Ŕ?
E. magnitude of Ŕ?
F. unit vector in the direction of R
C. magnitude of P?
D. unit vector in the direction of P?
G. scalar product of P and R?
H. vector product of P and R?
2. A stone is thrown from the top of a building upward at an angle of 30° with the horizontal
with an initial speed of 20 m/s. The height of the building is 45.0 m.
A. How long does it take the stone to reach the ground? and
B. What is the speed of the stone just before it strikes the ground?
3. A wheel is under a constant angular deceleration of 5rad/s2. Its initial speed is 3rad/s.
A. What angular distance in rad, rev and degrees will it travel just before coming to rest?
B. How long will it travel just before coming to rest?
4. A block with mass m₁ = 6kg that slides on a table with μk = 0.2 is attached by a massless
string over a massless, frictionless pulley to a hanging ball with mass m₂ = 4kg as shown in
the figure below. Calculate the tension in the string and the acceleration of the system. (Take:
g= 10m/s²)
m2
5. A 6.0-kg block moving at 3m/s is accelerated to the right along a horizontal surface by a
constant horizontal force of 27 N (take: g = 10m/s²).
A. Draw the body-diagram of the block that indicates the forces acting on it
B. Find the speed of the block after it has moved 3.0 m along a frictionless surface
C. If μk = 0.45, is the block moving with a constant velocity ?
D. If your answer for B is yes, calculate the power applied to the block in terms of v
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