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Jeopardy. 7.1. 7.2. 7.3 & 7.4. 7.5. 7.6 & 7.7. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400. Q $400. Q $400. Q $400. Q $400. Q $500. Q $500. Q $500. Q $500. Q $500. Final Jeopardy.
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Jeopardy 7.1 7.2 7.3 & 7.4 7.5 7.6 & 7.7 Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy
$100 Question from 7.1 Three forces 10N, 20 N, and 30N are in a state of equilibrium? a) draw a sketch of these three forces b) what is the angle between the equilibrium and each of the smaller forces
$100 Answer from 7.1 a) 10N 30N 20N b) 180 °
$200 Question from 7.1 2. An airplane has an air speed of 300km/h and is heading due west. if it encounters a wind blowing south at 50km/h, what is the resultant ground velocity of the plane?
$200 Answer from 7.1 304.13km/h [9.5 ° S of W]
$300 Question from 7.1 A 20 kg block lies on a smooth ramp that is inclined at 30°. What force parallel to the ramp, would prevent the block from moving.
$300 Answer from 7.1 98N [30° above the ground]
$400 Question from 7.1 Two forces f1 and f2 act at right angles to each other. The magnitude of the resultant of these two vectors is 25N, and |f1|=24N a) Determine |f2|b) Determine the angle between f1 and the resultant, and the angle between f1 and the equilibrant
$400 Answer from 7.1 • |f2|=7N • 16° for the resultant and 164° for the equilibrant
$500 Question from 7.1 Determine the resultant and equilibrant for each pair of forces acting on the object a) f1 has a magnitude of 5N acting due east, and f2 has a magnitude of 12N acting due north
$500 Answer from 7.1 R= 13N [67° N of E]equilibrant = 13N [67° S of W]
$100 Question from 7.2 A women walks 4km/h down the corridor of a train that is travelling at 80km/h [E] on a straight track a) what is her resultant velocity in relation to the ground if she is walking in the same direction as the train?
$100 Answer from 7.2 84km/h [E]
$200 Question from 7.2 Is velocity a vector or a scalar?
$200 Answer from 7.2 Vector
$300 Question from 7.2 A small plane has an airspeed of 244km/h. The pilot wishes to fly to a destination that is 480km due west from the plane’s present location. There is a 44km/h wind blowing from the south. • In what direction should the pilot fly in order to reach the destination? • How long will it take to arrive?
$300 Answer from 7.2 a) 10° N of W b) 2 hours
$400 Question from 7.2 A plane is headed north with a constant velocity of 450km/h. the plane encounters a wind from the west at 100km/h. • In 3 hours how far will the plane travel? • In what direction will the plane travel?
$400 Answer from 7.2 a) d = 1383km b) [77° N of E]
$500 Question from 7.2 A man heads 15o west of north in a boat that is moving with a water speed of 12 m/s. Determine the man’s resultant velocity, relative to the ground, when he encounters a 5m/s current from 15o north of east.
$500 Answer from 7.2 13m/s [N 37° W]
$100 Question from 7.3 & 7.4 What type of angle produces a dot product that is greater than 0
$100 Answer from 7.3 & 7.4 An acute angle
$200 Question from 7.3 & 7.4 |a| = 50 and |b|= 25 and the angle between them is 60°, what is the dot product?
$200 Answer from 7.3 & 7.4 a·b= 625
$300 Question from 7.3 & 7.4 The dot product yields a value of -36, |a| = 8 and |b|= 9. Calculate the angle between them.
$400 Question from 7.3 & 7.4 Determine the angle to the nearest degree between the a=(5,3) b= (-1,-2)
$500 Question from 7.3 & 7.4 Use the properties of the dot product to simplify 3x·(x – 3y) – (x-3y) ·(-3x+y)
$500 Answer from 7.3 & 7.4 6|x|^2 + 3|y|^2 - 19x· y
$100 Question from 7.5 Vector a=(2,3) is projected onto the x-axis. What is the scalar projection?
$100 Answer from 7.5 The scalar projection is 2
$200 Question from 7.5 Determine the vector projection for the vectors p=(3,6,-22) and q=(-4,5,-20)
$200 Answer from 7.5 Ppq=458/441(-4,5,-20)
$300 Question from 7.5 What are the two possible equations for the scalar projection of a on b
$300 Answer from 7.5 Pab = |a|cosθ & Pab =
$400 Question from 7.5 What are the two possible equations for the scalar projection of b on a
$400 Answer from 7.5 Pba = |b| cos θ & Pba =
$500 Question from 7.5 Determine the scalar projection of a = (-1, 2, 4) on each of the 3 axes
$500 Answer from 7.5 Pax = -1, Pay = 2, Paz = 4
$100 Question from 7.6 & 7.7 Use the diagram and the right hand rule to determine the direction a x b b a
$100 Answer from 7.6 & 7.7 Out of the screen
$200 Question from 7.5 Is work a vector or a scalar quantity?
$200 Answer from 7.6 & 7.7 It is a scalar quantity
$300 Question from 7.6 & 7.7 Calculate the cross product for a=(2, -1, 3) b=(3, -1, 2)
$300 Answer from 7.6 & 7.7 a x b = (1, 5, 1)
$400 Question from 7.6 & 7.7 Is torque a vector or a scalar quantity?
$400 Answer from 7.6 & 7.7 It is a vector quantity
$500 Question from 7.6 & 7.7 a= (2, 0, 0), b=(3, 0, 0), c=(2, 3, 0), d=(4, 3, 0) What is the cross product of (a x b) x (c x d)
