7.4. Given: A = 4.0 m -2.0m and B -[-5.2007]. N = (a) Draw a diagram with both vectors starting at the origin and express both vectors as magnitude and direction. What is the angle between the two vectors? (b) Show that Ẩ × B = 16 Nm 2 by using the formula |A|B|sin and the right-hand rule. (c) Find A x B by using matrix multiplication: (A, By - Ay Bx) 2

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7.4. Given: A =
4.0 m
-2.0m
-
and B
-[-5.2007].
N
=
(a) Draw a diagram with both vectors starting at the origin and express both vectors as
magnitude and direction. What is the angle between the two vectors?
(b) Show that Ẩ × B = 16 Nm 2 by using the formula |Ã||B| sin and the right-hand rule.
(c) Find A x B by using matrix multiplication: (A, By – Ay Bx) 2
7.5. It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a
radius of 0.25 m.
(a) If their mass is 55 kg, what is their rotational inertia?
(b) Calculate the magnitude of the angular momentum of a 55 kg ice skater spinning 6 times
a second.
(c) Calculate the total kinetic energy of this skater if they are spinning at a rate of 6 rotations
per second while traveling through the air at a rate of 2 m/s.
Transcribed Image Text:7.4. Given: A = 4.0 m -2.0m - and B -[-5.2007]. N = (a) Draw a diagram with both vectors starting at the origin and express both vectors as magnitude and direction. What is the angle between the two vectors? (b) Show that Ẩ × B = 16 Nm 2 by using the formula |Ã||B| sin and the right-hand rule. (c) Find A x B by using matrix multiplication: (A, By – Ay Bx) 2 7.5. It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a radius of 0.25 m. (a) If their mass is 55 kg, what is their rotational inertia? (b) Calculate the magnitude of the angular momentum of a 55 kg ice skater spinning 6 times a second. (c) Calculate the total kinetic energy of this skater if they are spinning at a rate of 6 rotations per second while traveling through the air at a rate of 2 m/s.
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