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Chapter 6 Study Guide

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.

You and your friends are navigating through a corn maze. Your path is described by the displacement vectors:


(0, 20) m

(50, 0) m

(0, -40) m

(-60, 0) m

(0, 50) m


What is your resultant displacement?

a)

(20, 20) m

b)

(0, 20) m

c)

(20, 0) m

d)

(-10, 30) m

e)

(30, -10) m

2.

A marble is launched from the floor at a speed of 8.7 m/s at an angle of 54 degrees above the horizontal. How far away from the starting point will the marble land? (Assume a level floor and no friction.)

a)

7.3 m

b)

3.7 m

c)

0.84 m

d)

72 m

e)

10 m

3.

A force of 70 N has an x-component of 23 N. What is the y-component?

a)

66 N

b)

4400 N

c)

9.6 N

d)

6.9 N

e)

74 N

4.

Vector 1 points from the origin to (0.0, 6.0) and Vector 2 points from the origin to (5.0, 0.0). What is the magnitude of the resultant which is the sum of vector 1 + vector 2?

a)

11

b)

3.3

c)

5.5

d)

7.8

e)

4.7

5.

A cart is placed on a frictionless inclined plane with a height of 5.0 m. What is the length of the inclined plane if the cart has an acceleration of 1.8 \frac{m}{s^2}?

a)

2.8 m

b)

5.3 m

c)

7.1 m

d)

49 m

e)

27 m

6.

An inclined plane is set at an angle of 30 degrees above horizontal. What is the acceleration of a 0.390 kg block of ice slide down the inclined plane? Assume no friction.

a)

0.33 ms2\frac{m}{s^2}

b)

4.9 ms2\frac{m}{s^2}

c)

8.5 ms2\frac{m}{s^2}

d)

290 ms2\frac{m}{s^2}

e)

9.8 ms2\frac{m}{s^2}

7.

The ErgoBot begins at the origin (0,0) and then moves with the following displacements:


(0.9, -0.8) m

(0.6, 0.2) m

(-0.2, 0) m


What is its final position?

a)

(0.9, -0.2) m

b)

(1.3, 1.0) m

c)

(1.7, 1.0) m

d)

(1.7, -0.6) m

e)

(1.3, -0.6) m

8.

A car travels on a straight road with velocity components of 10 m/s west and 60 m/s south. What is the total distance the car travels in 40 s?

a)

2400 m

b)

4900 m

c)

3700 m

d)

93 m

e)

49,000 m

9.

Jackson kicks a soccer ball with a force of 87 N applied at an angle of 56 degrees above the horizontal. What are the horizontal (x) and vertical (y) components of this force?

a)

x-component: 49 N, y-component: 72 N

b)

x-component: 0.0 N, y-component: 87 N

c)

x-component: 72 N, y-component: 49 N

d)

x-component: 87 N, y-component: 56 N

e)

x-component: 87 N, y-component: 87 N

10.

Which of these is a vector?

a)

temperature

b)

pressure

c)

force

d)

time

e)

volume

11.

Marie paddles a canoe due north at a speed of 7.0 m/s in a river that flows due west at a speed of 1.0 m/s. What angle does the canoe travel relative to north?

a)

0o (due north)

b)

82o west of north

c)

8.1o west of north

d)

82o east of north

e)

8.1o east of north

12.

Which shape below best describes the trajectory of a projectile?

a)

triangle

b)

semicircle

c)

zigzag

d)

spiral

e)

parabola