Practice Test Sum of Vectors
Chapter
Chapter 6
Section
Practice Test Sum of Vectors
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Solutions 23 Videos

Convert the quadrant bearing to its equivalent true bearing.

N50^oW

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Q6a

Convert the quadrant bearing to its equivalent true bearing.

N10^oE

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Q6b

Convert the quadrant bearing to its equivalent true bearing.

S40^oE

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Q6c

Use an appropriate scale to draw each vector. Label the magnitude, direction, and scale.

momentum of 50 kg-m/s south

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Q7a

Use an appropriate scale to draw each vector. Label the magnitude, direction, and scale.

velocity of 15 km/h at a quadrant bearing of N30°E

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Q7b

Use an appropriate scale to draw each vector. Label the magnitude, direction, and scale.

displacement of 120 m at a bearing of 075°

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Q7c

In a soccer game, two opposing players kick the ball at the same time: one with a force of 200 N straight along the sidelines, and the other with a force of 225 N directly across the field. Calculate the magnitude and direction of the resultant force.

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Q10

A ship’s course is set at a heading of 143° at 18 knots. A 10-knot current flows at a bearing of 112°. What is the ground velocity of the ship?

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Q11

A 150-N crate is resting on a ramp that is inclined at an angle of 10° to the horizontal.

a) Resolve the weight of the crate into rectangular vector components that keep it at rest.

b) Describe these components so that a non—math student could understand them.

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Q12

An airplane is flying at an airspeed of 400 km/h on a heading of 220°. A 46-km/h wind is blowing from a bearing of 060°. Determine the ground velocity of the airplane.

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Q13

Devon is holding his father’s wheelchair on a ramp inclined at an angle of 20° to the horizontal with a force of magnitude 2000 N parallel to the surface of the ramp. Determine the weight of Devon’s father and his wheelchair and the component of the weight that is perpendicular to the surface of the ramp.

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Q14

The Canada Day fireworks at Daffodil Park are fired at an angle of 82° with the horizontal. The technician firing the shells expects them to explode about 100 m in the air, 4.8 s after they are fired.

a) Find the initial velocity of a shell fired from ground level.

b) Safety barriers will be placed around the launch area to protect spectators. If the barriers are placed 100 m from the point directly below the explosion of the shells, how far should the barriers be from the point where the fireworks are launched?

c) What assumptions are you making in part b)?

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Q16

A hang-glider loses altitude at 0.5 m/s as it travels forward horizontally at 9.3 m/s. Determine the resultant velocity of the hang-glider, to one decimal place. Explain your result.

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Q17

The force at which a tow truck pulls a car has a horizontal component of 20 000 N and a vertical component of 12 000 N.

a) What is the resultant force on the car.

b) Explain the importance of knowing these components.

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Q18

A 100-N box is held by two cables fastened to the ceiling at angles of 80° and 70° to the horizontal.

a) Draw a diagram of this situation.

b) Determine the tension in each cable.

c) If the cable hanging at 70° to the horizontal were lengthened, what would happen to the tensions? Justify your response.

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Q19